progression document mathematics sequential learning key ... · ratio and proportion fluency skills...

Progression Document Mathematics

Sequential Learning Key Skills Progression Key

Number Fluency

Algebra Reasoning and explanation

Ratio, proportion and rates of change Problem solving

Geometry and measures Interpretation and representation

Statistics Multi-step/multi-process

Probability Analytical

Subject Knowledge Progression Development of Key Skills

Year 7

Number I can recall multiplication facts up to 12 x12 I can read and write numbers between 0.001 and 1 000 000 I can understand place value I can order integers up to 1000000 I can order decimals by size I can add integers using column addition I can subtract integers using column subtraction I can add and subtract decimals using column method I can multiply integers using Chinese multiplication I can divide integers using bus stop method I can multiply and divide decimals I can carry out calculations knowing the correct order of operations I can round to the nearest integer, 10, 100 and 1000 I can round to the nearest to a specified number of decimal places I can round to the nearest to a specified number of significant figures I can multiply and divide integers by powers of 10 I can multiply and divide decimals by powers of 10 I can estimate answers and check if answer is correct I can show my understanding of how the number line extends to include negative numbers I can understand and use the inequality symbols I can use my understanding of negative numbers to solve simple real-life problems I can carry out addition and subtraction involving negative numbers

Factors, multiples, primes, powers and sequences I can count up and down in 1s, 10s, 100s and 1000s

Number Fluency skills – consolidate basic number to a wide variety of contexts. Use language and properties precisely to analyse numbers.

Interpretation of worded questions – Interpret real life scenarios and contexts and apply numeracy skills fluently Problem solving –Select and use appropriate calculation strategies to solve increasingly complex problems Reasoning and explanation skills – Arrive and justify conclusions when comparing two or more products for example. Extend their understanding of the number system and make connections between number relationships.

Factors, Multiples, Powers, Sequences and Indices

I can count up and down in tenths, hundredths and thousandths I can continue simple number patterns I can continue simple pictorial patterns I can describe the term to term rule for a sequence I can spot and continue special sequences e.g. square, cube and Fibonnacci I can find the nth term of a linear sequence I can find any term of a linear sequence given the first term and a term to term rule I can find any term of a linear sequence when given the nth term I can show when a number is in a sequence I can write down the factors of any whole number I can write down the multiples of any whole number I can find the LCM of a set of numbers I can find common factors for pairs of numbers I can find the HCF of a set of numbers I can recognise and work out square numbers and corresponding roots I know that square roots of positive numbers can have two values I can recognise and work out cube numbers and corresponding roots I can recognise and work out the sequence of triangular numbers I know the prime numbers up to 50 I can find the reciprocal of a integer, fraction or decimal I can write a number as the product of prime factors

Fractions, decimals and percentages I can recognise fractions I can find equivalent fractions I can write fractions in their simplest form I can convert between mixed numbers and improper fractions I can compare fractions with different denominators I can order fractions with different denominators I can add and subtract fractions with the same denominator I can add and subtract fractions with different denominators I can add and subtract mixed numbers I can multiply fractions I can multiply fractions or mixed numbers by an integer I can divide fractions I can divide fractions mixed numbers by an integer

Fluency skills – Apply basic numeracy skills to simplifying, multiples, factors and sequences

Reasoning and explanation skills – Explain different special numbers; Extend their understanding of the number system; make connections between number relationships.

Problem solving – Apply skills taught to a variety of problems involving paint, planning a party with the least amount of packets Interpretation and representation – Make and test conjectures about patterns and relationships Fractions, Decimals and Percentages Fluency skills – simplify fractions, apply 4 operations to fractions, work with percentages and decimals, and be able to convert fluently and efficiently.

Interpretation of worded questions – Apply skills to real life scenarios involving fractions, percentages and decimals e.g. borrowing money Problem solving - Arrive at justifications when comparing fractions of amounts, or applying fraction skills to real life contexts e.g. tins of paint required Multi step/Multi process – Apply all three skills to a non-routine problem.

I can find fractions of amounts I can write an amount as a fraction of another I can recognise percentages I can write one value as a percentage of another I can calculate percentages of amounts without a calculator I can calculate percentages of amounts using a calculator I can compare percentages of amounts I can increase and decrease by a percentage I can convert between a decimal and a percentage I can convert between a fraction and decimal I can convert between a fraction and percentage I can order a mixture of fractions, decimals and percentages

Ratio and Proportion I can use ratio notation I can use ratios to compare quantities I can simplify ratios I can share a quantity in a given ratio I know he connection between ratios and fractions I can use ratios to find totals or missing quantities I can use unitary method to find costs of items I can use proportion to increase/decrease recipes

Statistics Data analysis I can use a data collection to collect data I can construct grouped frequency tables I know the difference between discrete and continuous data I can find the mode and median for a set of data I can find the mean and range for a set of data I can compare two distributions using averages and range

Reasoning and explanation skills – Explain minimum amount of tins needed when looking at painting rooms, why it has to be rounded up. Analytical - Ratio and Proportion Fluency skills – Apply basic numeracy skills to simplifying ratios, using and working with ratios.

Reasoning and explanation – Identify misconceptions and identify correct process to undertake. Interpretation – Ratio skills applied to problem solving to find cost of one through ‘simple’ dual equation questions. Extend and formalise their knowledge of ratio and proportion in working with measures. Multi step/Multi process – Apply ratio and build in fractions, percentages from previous topic areas Analytical - Data Analysis Fluency skills – Apply numeracy skills to find the averages and spread of data. Use language and properties precisely to analyse statistics

Analytical and comparative skills – Compare averages and spread Interpretation – Use data given or found to arrive at a conclusion and justify

Data representation I can draw and interpret pictograms I can create and interpret bar charts I can create a duel bar chart I can draw a composite bar chart I can draw a pie chart I can interpret pie charts I can draw stem and leaf diagrams I can draw back to back stem and leaf diagrams I can draw a frequency polygon

Probability I can use probability words to describe the chance of things happening I can use a probability scale in words I can use a probability scale marked 0 to 1 I can use equally likely events to calculate probabilities I can calculate probability from experimental data I understand that different outcomes may result from repeating an experiment I can calculate probabilities from sample spaces and lists I can use the probability of an event to calculate the probability that it does not happen

Algebra I can write simple algebraic expressions I can simplify algebraic expressions by collecting like terms I can substitute values into expressions and formula I can expand an expression be removing brackets

Reasoning and explanation skills – Explain why it is an estimate for the mean, or explain why a certain average may not be suitable to use. Explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally. Problem solving – Find missing values given parameters Multi step/Multi process – Given the mean, work backwards to find missing value in the frequency table Data representation Fluency skills – Be able to set axes up correctly and ensure all axes are labelled correctly. Move freely between different numerical, algebraic, graphical and diagrammatic representations.

Representation – Construct a wide variety of graphs Reasoning and explanation skills – Compare two graphs. Identify misconceptions. Extend their understanding of the number system; make connections between number relationships, and their graphical representations. Analytical – Compare given graphs and arrive at a justification Problem solving – use a graph to work backwards to generate values Probability Fluency skills – know the words associated with chance; calculate simple probabilities Analytical – comparing probabilities of events, comparing experimental with theoretical. Reasoning and explanation – comparing experimental with theoretical. Using historical data to find probability. Algebra Fluency skills – apply basic numeracy skills. Use Algebra to generalise the structure of arithmetic, including to formulate mathematical relationships

I can expand and simplify expressions I can understand and use inverse operations I can solve simple equations that involve one operation I can solve simple equations that involve two operations I can set up and solve an equation for a simple real-life problem

Perimeter, area and volume I can find the perimeter of a shape I can find the area of a shape by counting squares I can find the area and perimeter of rectangles I can find the perimeter of a compound shape I can find the area of a triangle I can find the area of a parallelogram I can find the area of a trapezium I can find the area of compound shapes I can find the volume of a cuboid I can find the surface area of a cuboid

Lines, angles and shape I can draw and measure lines I can convert between different metric units I know the names for different types of triangles, quadrilaterals and polygons I can classify triangles and quadrilaterals using mathematical properties I know the names for different types of angles I can draw and measure angles I know that angles on a straight line add to 180 I know that angles at a point add to 360 I know the angle sum of triangles an quadrilaterals I can calculate vertically opposite angles I can recognise parallel, intersecting and perpendicular lines I can count the faces, vertices and edges on a 3D shape

Interpretation of worded questions – Link back to ratio and introduce simple angle theorems Problem solving – Apply to shapes, areas and angles. Compare two companies Reasoning and explanation skills – Explain inverse operations when changing the subject. Identify variables and express relations between variables algebraically and graphically. Multi step/Multi process – Unknown on both sides Perimeter, Area and Volume Fluency skills – Apply basic numeracy skills to finding area and perimeter of basic shapes Interpretation of worded questions – No diagram given, represent the words as a diagram and apply skills Problem solving – Given the area of one shape, find the missing side on another Reasoning and explanation skills – Given the answer, explain/demonstrate why this is the given solution. Begin to reason deductively in geometry, number and algebra, including using geometrical constructions. Multi step/Multi process – Apply area/perimeter skills to algebra, or functional skills questions such as running tracks and revolutions of a bicycle wheel Analytical – Extract relevant information from a question, interpret and apply it Shape and Transformations Fluency skills – converting units quickly and confidently; recall missing angle facts; perform reflections and rotations. Reasoning and explanation skills – giving reasons for missing angles. Describing transformations Interpretation and representation – Identifying shapes and knowing properties Analytical – identifying shapes from information given; describing transformations

I can name 3D shapes I can draw nets of 3D shapes I can make 3D shapes from nets I can draw 3D shapes on isometric paper Transformations I can read coordinates in all four quadrants I can plot coordinates in all four quadrants I can recognise equations of horizontal and vertical lines I can translate a point or a 2D shape I can draw and state lines of symmetry on 2D shapes I can reflect 2D shapes in a mirror line

Year 8

Number I can order decimals by size I can add integers using column addition I can subtract integers using column subtraction I can add and subtract decimals using column method I can multiply integers using Chinese multiplication I can divide integers using bus stop method I can multiply and divide decimals I can carry out calculations knowing the correct order of operations I can round to the nearest to a specified number of decimal places I can round to the nearest to a specified number of significant figures I can multiply and divide integers by powers of 10 I can multiply and divide decimals by powers of 10 I can estimate answers and check if answer is correct I can understand and use the inequality symbols I can use my understanding of negative numbers to solve simple real-life problems I can carry out addition and subtraction involving negative numbers I can multiply and divide with negative numbers I can write large numbers using standard form I can write decimal numbers using standard form I can write standard form numbers in ordinary form I can add and subtract numbers written in standard form I can multiply and divide numbers written in standard form Factors, multiples, primes, powers and sequences I can describe the term to term rule for a sequence

Number Fluency skills – consolidate basic number to a wide variety of contexts. Use language and properties precisely to analyse numbers.

Interpretation of worded questions – Interpret real life scenarios and contexts and apply numeracy skills fluently Problem solving –Select and use appropriate calculation strategies to solve increasingly complex problems Reasoning and explanation skills – Arrive and justify conclusions when comparing two or more products for example. Extend their understanding of the number system and make connections between number relationships.

Factors, Multiples, Powers, Sequences and Indices Fluency skills – Apply basic numeracy skills to simplifying, multiples, factors and sequences

I can spot and continue special sequences e.g. square, cube and Fibonnacci I can find the nth term of a linear sequence I can find any term of a linear sequence given the first term and a term to term rule I can find any term of a linear sequence when given the nth term I can show when a number is in a sequence I can write down the factors of any whole number I can write down the multiples of any whole number I can find the LCM of a set of numbers I can find common factors for pairs of numbers I can find the HCF of a set of numbers I can find the HCF and LCM of large numbers using Venn diagrams I can recognise and work out square numbers and corresponding roots I know that square roots of positive numbers can have two values I can recognise and work out cube numbers and corresponding roots I can recognise and work out the sequence of triangular numbers I know the prime numbers up to 50 I can find the reciprocal of a integer, fraction or decimal I can write a number as the product of prime factors I can calculate with numbers using powers I can multiply and divide with numbers written in index notation I can find the value of a number to the power of negative I know the laws of indices and can use them to simplify expressions Fractions, decimals and percentages I can write fractions in their simplest form I can convert between mixed numbers and improper fractions I can compare fractions with different denominators I can order fractions with different denominators I can add and subtract fractions with different denominators I can add and subtract mixed numbers I can multiply fractions I can multiply fractions or mixed numbers by an integer I can divide fractions I can divide fractions mixed numbers by an integer I can find fractions of amounts I can write an amount as a fraction of another

Reasoning and explanation skills – Explain different special numbers; Extend their understanding of the number system; make connections between number relationships. Make and test conjectures about patterns and relationships.

Problem solving – Apply skills taught to a variety of problems involving paint, planning a party with the least amount of packets Fractions, Decimals and Percentages Fluency skills – simplify fractions, apply 4 operations to fractions, work with percentages and decimals, be able to convert fluently and efficiently.

Interpretation of worded questions – Apply skills to questions involving fractions, percentages and decimals Problem solving - Arrive at justifications when comparing fractions of amounts, or applying fraction skills to real life contexts e.g. tins of paint required Multi step/Multi process – Apply all three skills to a non-routine problem.

I can write one value as a percentage of another I can calculate percentages of amounts without a calculator I can calculate percentages of amounts using a calculator I can compare percentages of amounts I can increase and decrease by a percentage I can increase and decrease by a percentage using decimal multipliers I can find a percentage change I can find simple interest of an amount I can convert between a decimal and a percentage I can convert between a fraction and decimal I can convert between a fraction and percentage I can order a mixture of fractions, decimals and percentages Ratio and Proportion I can use ratios to compare quantities I can simplify ratios I can write ratios in the form 1:n or n:1 I can share a quantity in a given ratio I know he connection between ratios and fractions I can use ratios to find totals or missing quantities I can decide when two variables are in direct or inverse proportion I can use unitary method to find costs of items I can use proportion to increase/decrease recipes I can work out a simple formula connecting two variables that are in direct proportion I can recognise and draw a graph for two variables that are in direct proportion Handling Data Data analysis I can use a data collection to collect data I can construct grouped frequency tables I know the difference between discrete and continuous data I can find the mode and median for a set of data I can find the mean and range for a set of data I can compare two distributions using averages and range I can decide which average is the best to use in different circumstances I can find the mean, median and mode from a frequency table I can find a missing value given the mean I can find combined means

Reasoning and explanation skills – Explain minimum amount of tins needed when looking at painting rooms, why it has to be rounded up. Ratio and Proportion Fluency skills – Apply basic numeracy skills to simplifying ratios, using and working with ratios.

Reasoning and explanation – Identify misconceptions and identify correct process to undertake. Interpretation – Ratio skills applied to problem solving to find cost of one through ‘simple’ dual equation questions. Extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically. Multi step/Multi process – Apply ratio and build in fractions, percentages from previous topic areas Data Analysis Fluency skills – Apply numeracy skills to find the averages and spread of data. Use language and properties precisely to analyse statistics

Analytical and comparative skills – Compare averages and spread Interpretation – Use data given or found to arrive at a conclusion and justify Reasoning and explanation skills – Explain why it is an estimate for the mean, or explain why a certain average may not be suitable to use. Explore what can and cannot be inferred in

Data representation I can create a duel bar chart I can draw a composite bar chart I can draw a pie chart I can interpret pie charts I can draw stem and leaf diagrams I can draw back to back stem and leaf diagrams I can draw a frequency polygon I can draw a frequency diagram (continuous data) I can draw scatter graph I can read information and describe correlation from a scatter graph I can draw and use a line of best fit on a scatter graph I can recognise misleading graphs and make changes Probability I can use a probability scale marked 0 to 1 I can use equally likely events to calculate probabilities I can calculate probability from experimental data I understand that different outcomes may result from repeating an experiment I understand relative frequency is an estimate of probability I can understand the difference between theoretical and experimental probability I can calculate probabilities from sample spaces and lists I can use the probability of an event to calculate the probability that it does not happen I can use Venn diagrams to calculate probability I know what mutually exclusive outcomes are Algebra I can simplify algebraic expressions by collecting like terms I can substitute values into expressions and formula I can expand an expression be removing brackets I can expand and simplify expressions I can write algebraic expressions using index notation

statistical and probabilistic settings, and begin to express their arguments formally. Problem solving – Find missing values given parameters Multi step/Multi process – Given the mean, work backwards to find missing value in the frequency table Data representation Fluency skills – Be able to set axes up correctly and ensure all axes are labelled correctly. Move freely between different numerical, algebraic, graphical and diagrammatic representations.

Representation – Construct a wide variety of graphs Reasoning and explanation skills – Compare two graphs. Identify outliers and comment on why they may not fit the trend. Use extrapolation and interpolation and identify weaknesses of extrapolating. Identify misconceptions. Extend their understanding of the number system; make connections between number relationships, and their graphical representations. Analytical – Compare given graphs and arrive at a justification Problem solving – use a graph to work backwards to generate values Probability Fluency skills – know the words associated with chance; calculate simple probabilities Analytical – comparing probabilities of events, comparing experimental with theoretical. Reasoning and explanation – comparing experimental with theoretical. Using historical data to find probability. Algebra Fluency skills – apply basic numeracy skills. Use Algebra to generalise the structure of arithmetic, including to formulate mathematical relationships Interpretation of worded questions – Link back to ratio and introduce simple angle theorems

I can factorise simple linear expressions I can expand double brackets I can solve simple equations that involve one operation I can solve simple equations that involve two operations I can solve equations involving brackets I can solve equations involving fractions I can solve equations where the variable occurs on both sides I can solve simple equations involving squares I can set up and solve an equation for a simple real-life problem I can change the subject of a formula I can solve simple simultaneous equations I can solve simultaneous equations where multiplication is needed I can solve simple inequalities I can represent and interpret simple linear inequalities Geometry – perimeter, area and volume I can find the area and perimeter of rectangles I can find the perimeter of a compound shape I can find the area of a triangle I can find the area of a parallelogram I can find the area of a trapezium I can find the area of compound shapes I can name parts of a circle I can find the circumference of a circle I can find the area of a circle I can find the area and perimeter of more complex shapes that include circles I can find the volume of a cuboid I can find the surface area of a cuboid I can find the surface area of prisms I can find the volume of prisms I can find the volume of a cylinder I can find the surface area of a cylinder Lines, angles and shape I can convert between different metric units I can classify triangles and quadrilaterals using mathematical properties I can draw and measure angles I know that angles on a straight line add to 180

Representation – on number lines Problem solving – Apply to shapes, areas and angles. Compare two companies Reasoning and explanation skills – Explain inverse operations when changing the subject. Identify variables and express relations between variables algebraically and graphically. Multi step/Multi process – Unknown on both sides; involving fractions Perimeter, Area and Volume Fluency skills – Apply basic numeracy skills to finding area and perimeter of basic shapes Interpretation of worded questions – No diagram given, represent the words as a diagram and apply skills Problem solving – Given the area of one shape, find the missing side on another Reasoning and explanation skills – Given the answer, explain/demonstrate why this is the given solution. Begin to reason deductively in geometry, number and algebra, including using geometrical constructions. Multi step/Multi process – Apply area/perimeter skills to algebra, or functional skills questions such as running tracks and revolutions of a bicycle wheel Analytical – Extract relevant information from a question, interpret and apply it Shape and Transformations Fluency skills – converting units quickly and confidently; recall missing angle facts; perform reflections and rotations. Reasoning and explanation skills – giving reasons for missing angles. Describing transformations

I know that angles at a point add to 360 I know the angle sum of triangles an quadrilaterals I can calculate vertically opposite angles I can recognise parallel, intersecting and perpendicular lines I can calculate angles in parallel lines I can count the faces, vertices and edges on a 3D shape I can find missing angles in polygons I can find exterior angles in polygons I can use Pythagoras theorem to find missing sides in right angled triangles I can use Pythagoras theorem to find the distance between two points Transformations I can read coordinates in all four quadrants I can plot coordinates in all four quadrants I can recognise equations of horizontal and vertical lines I can translate a point or a 2D shape I can draw and state lines of symmetry on 2D shapes I can reflect 2D shapes in a mirror line I can reflect 2D shapes using coordinates in all four quadrants I can find the order of rotational symmetry of a 2D shape I can rotate 2D shapes about a centre of rotation I can recognise congruent shapes I know how to make a tessellation from 2D shapes I can enlarge a 2D shape by a scale factor about a centre of enlargement I can recognise and draw lines of relationships of the form y=x, y=x+a and y=-x I can complete a table of values for a simple linear relationship and use this to draw a graph of the relationship I can read values from real-life graphs I can draw and interpret distance time graphs I can use a table of values for a simple quadratic equation and use this to draw a graph of the equation Units and constructions I can read values from a scale I can work confidently with time I can read and use timetables to plan journeys I can convert between different metric units I can convert between different metric and imperial units

Interpretation and representation – Identifying shapes and knowing properties Analytical – identifying shapes from information given; describing transformations Unit and constructions Fluency skills – read time; convert between units. Reasoning and explanation skills – understanding average speed and explanation of answers involving DST Problem solving – Finding journey times etc for real life scenarios

I can estimate objects using scale drawings I can construct circles I can construct triangles I can construct bisectors I can use compound measures for SDT I can recognise congruent triangles

Year 9

FOUNDATION Number system I can apply the order of operations I can round to any power of 10 I can round to decimal places and significant figures I can use approximations to estimate I can find errors in estimating questions I can read and write numbers in words and figures and understand place value I can order decimals and negatives I can add and subtract numbers, decimals and negatives I can multiply and divide with integers and decimals and negatives I know the prime numbers I can write numbers in prime factor form I can find HCF and LCM of numbers I can find the HCF and LCM of large numbers using Venn diagrams Powers and roots

I can find squares, cubes and roots

I can write numbers in index notation

I can add and subtract in index form

I can multiply and divide numbers written in index notation

I can use the laws of indices with fractional, negative and zero power

Fractions, decimals and percentages

I can write a quantity as a fraction of another

I can simplify fractions

I can find equivalent fractions

I can convert between improper fractions and mixed numbers

I know equivalent Fractions, decimals and percentages

Number Fluency skills - extend their understanding of the number system to include powers, roots. Select and use appropriate calculation strategies to solve increasingly complex problems, use of standard form and application

Reasoning and explanation - interpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning

Problem solving – Many real life scenarios Powers and roots Fluency – understanding and using laws of indices fluently Fractions, Decimals and Percentages Fluency skills –apply 4 operations to fractions, work with percentages and decimals, be able to convert fluently and efficiently.

Interpretation of worded questions – Apply skills to questions involving fractions, percentages and decimals

I can add and subtract fractions and mixed numbers

I can multiply and divide fractions and mixed numbers

I can work out fractions of amounts

I can write one quantity as a percentage of another

I can order a mixture of fractions, decimals and percentages

I can find a percentage of an amount

I can increase/decrease by a percentage

I can increase/decrease by a percentage using decimal multipliers

I can calculate simple interest

I can calculate compound interest

I can calculate the interest rate after a percentage change

I can find the original amount after a percentage change

Ratio and proportion

I can write quantities as a ratio

I can simplify a ratio

I can write ratios in the form 1:n or n:1

I can share quantities by a given ratio

I can use ratios to find totals or missing quantities

I can find linear ratios

I can use the difference between ratios to find values

I can convert between different currencies

I can solve direct and inverse proportion using the unitary method

I can find the best value of money Bounds

I can use calculators effectively

I can find the upper and lower bounds of measurements

Algebra

I can simplify expressions by collecting like terms

I can expand single brackets

I can expand and simplify expressions

I can expand double brackets

I can factorise simple expressions

I can solve simple linear equations (1 or 2 step questions)

Problem solving - Arrive at justifications when comparing fractions and percentages of amounts, or applying fraction or percentage skills to real life contexts Multi step/Multi process – Apply all three skills to a non-routine problem. Reasoning and explanation skills – Explain minimum amount of tins needed when looking at painting rooms, why it has to be rounded up. Ratio and proportion

Reasoning and explanation - extend and formalise their knowledge of ratio and proportion, in working with measures and in working with proportional relations algebraically and graphically. Interpret when the structure of a numerical problem requires proportional reasoning.

Fluency skills – Apply basic numeracy skills to simplifying ratios, using and working with ratios. Interpretation of limits of accuracy

Problem solving – many real life senarios Interpretation and representation – Ratio skills applied to problem solving to find cost of one through ‘simple’ dual equation questions. Extend and formalise their knowledge of ratio and proportion in working with measures, and in formulating proportional relations algebraically. Find the best value for money Multi step/Multi process – Apply ratio and build in fractions, percentages from previous topic areas Analytical - Algebra Fluency skills - extend their understanding of algebraic simplification and manipulation to include quadratic expressions, {and expressions algebraic fractions}. Finding the general rule for linear sequences

Interpretation of worded questions. Representation – on number lines

I can solve equations involving brackets

I can solve equations with unknowns on both sides

I can solve equations with unknowns on both sides involving brackets

I can substitute values into expressions and formula

Sequences, graphs and regions

I can describe sequences using the term to term rule

I can generate terms of a sequence given the term to term rule or nth term

I can find the nth term of a linear sequence

I can say when a term will be in a sequence

Handling data

Representing and interpreting

I know the difference between discrete and continuous data

I know the different types of data

I can calculate the mean, median, mode and range of a set of data

I know which is the best average to use

I can find the mean, median and mode from a frequency table

I can find and estimate for the mean from a grouped frequency table

I can represent data in simple charts and graphs

I can draw line graphs and time series graphs

I can calculate moving averages and comment on trend

I can draw and interpret stem and leaf diagrams

I can draw and use two way tables

I can draw and interpret frequency polygons

I can draw and interpret pie charts

I can draw and interpret scatter graphs

Probability

I know the language associated with probability

I can calculate simple probabilities of events

I understand mutually exclusive events

I can use the AND/OR rule

I can work out the expected number of outcomes

I can list outcomes

I can use sample space diagrams to find probability of two events

I can draw tree diagrams to represent independent events

I can calculate probabilities from tree diagrams

I can draw and use tree diagrams to represent dependant events

I can find the relative frequency from experiment

Problem solving – Apply to shapes, areas and angles. Compare two companies. Substitution into formulas that represent real life senarios. Reasoning and explanation skills – Explain inverse operations when changing the subject. Identify variables and express relations between variables algebraically and graphically. Showing when terms will be in the sequence. Multi step/Multi process – Unknown on both sides; involving fractions

Handling Data

Fluency skills – Calculating averages fluently and with confidence Problem solving – many real life senarios Interpretation and representation – which is the best average and why. Showing trends. Multi-step/multi-process – comparing graphs; comparing sets of data. Finding missing data when given mean. Analytical – Analysing and interpretation of averages and graphs Reasoning and explanation skills – Compare two graphs. Identify outliers and comment on why they may not fit the trend. Use extrapolation and interpolation and identify weaknesses of extrapolating. Identify misconceptions. Extend their understanding of the number system; make connections between number relationships, and their graphical representations

Probability

Fluency skills – Fluent with language and calculating simple probability Reasoning and explanation skills – Difference between experimental and theoretical. Problem solving – Interpretation and representation – Showing lists of outcomes via diagrams. Interpretation of meaning of calculated probabilities Multi-step/multi-process – Outcomes of more than one event; dependent events Analytical – Venn diagram notation

I can compare experimental and theoretical probabilities

I can draw and find probabilities from Venn diagrams

I can understand and use Venn diagram notation

HIGHER

Number system

I can apply the order of operations

I can multiply and divide with integers and decimals

I can round numbers to make sensible estimations

I know the prime numbers

I can write numbers in prime factor form

I can find HCF and LCM of numbers

I can find the HCF and LCM of large numbers using Venn diagrams

Powers and roots

I can multiply and divide numbers written in index notation

I can use the laws of indices with fractional, negative and zero power

I can rewrite numbers to different bases

I can convert between standard form and ordinary numbers

I can multiply and divide numbers in standard form

I can add and subtract in standard form

I can simplify a surd

I can add and subtract surds

I can multiply and divide surds

I can expand brackets involving surds

I can rationalise the denominator of a fraction Fractions, decimals and percentages

I can simplify fractions

I can find equivalent fractions

I can convert between improper fractions and mixed numbers

I know equivalent Fractions, decimals and percentages

I can add and subtract fractions and mixed numbers

I can multiply and divide fractions and mixed numbers

I can write one quantity as a percentage of another

I can find a percentage of an amount

I can increase/decrease by a percentage using decimal multipliers

I can calculate a fractional increase and decrease

I can calculate successive percentage change

Number Fluency skills - extend their understanding of the number system to include powers, roots. Select and use appropriate calculation strategies to solve increasingly complex problems, use of standard form and application.. Understanding and using laws of indices fluently


Fractions, Decimals and Percentages Fluency skills –apply 4 operations to fractions, work with percentages and decimals, be able to convert fluently and efficiently.

Interpretation of worded questions – Apply skills to questions involving fractions, percentages and decimals Problem solving - Arrive at justifications when comparing fractions and percentages of amounts, or applying fraction or percentage skills to real life contexts Multi step/Multi process – Apply all three skills to a non-routine problem. Reasoning and explanation skills – simple interest and compound interest

I can calculate simple interest

I can calculate compound interest

I can calculate the interest rate after a percentage change


I can calculate a percentage change

I can convert decimals to fractions

I can convert recurring decimals to fractions


I can simplify a ratio

I can write ratios in the form 1:n or n:1

I can share quantities by a given ratio

I can use ratios to find totals or missing quantities

I can find linear ratios

I can use the difference between ratios to find values

I can convert between different currencies

I can solve direct and inverse proportion using the unitary method

I can find the best value of money

Bounds

I can use calculators effectively

I can find the upper and lower bounds of measurements

I can calculate using the upper and lower bounds

Algebra

I can simplify expressions by collecting like terms

I can expand single and double brackets

I can solve simple linear equations

I can factorise simple expressions

I can factorise quadratic expressions (1x2)

I can factorise quadratic expressions (ax2)

I can solve quadratic equations

I can simplify algebraic fractions including quadratics

I can change the subject of formula

I can change the subject of formula involving factorising

I can show inequalities on a number line

I can substitute values into expressions and formula


Reasoning and explanation - extend and formalise their knowledge of ratio and proportion, in working with measures and geometry, and in working with proportional relations algebraically and graphically. Interpret when the structure of a numerical problem requires proportional reasoning.

Fluency skills – Apply basic numeracy skills to simplifying ratios, using and working with ratios. Interpretation of limits of accuracy

Problem solving – many real life senarios Interpretation and representation – Ratio skills applied to problem solving to find cost of one through ‘simple’ dual equation questions. Extend and formalise their knowledge of ratio and proportion in working with measures, and in formulating proportional relations algebraically. Find the best value for money Multi step/Multi process – Apply ratio and build in fractions, percentages from previous topic areas Analytical - Algebra Fluency skills - extend their understanding of algebraic simplification and manipulation to include quadratic expressions, {and expressions involving surds and algebraic fractions} extend fluency with expressions and equations from key stage 3, to include quadratic equations, simultaneous equations and inequalities

Interpretation of worded questions. Representation – on number lines Problem solving – Apply to shapes, areas and angles. Compare two companies. Substitution into formulas that represent real life senarios. Reasoning and explanation skills – Explain inverse operations when changing the subject. Identify variables and express

Sequences, graphs and regions

I can generate terms of a sequence given the term to term rule or nth term

I can find the nth term of a linear sequence

I can say when a term will be in a sequence

I can find the nth term of a quadratic sequence

I can plot and read coordinates in 4 quadrants

I can find the midpoint of two points

I can draw straight lines in the form y=mx+c

I can find the gradient and y-intercept of straight lines

I can write the equation of lines

I can give equations of parallel lines

I can give equations of perpendicular lines

I can solve inequalities

I can represent inequalities on graphs

Handling data

Representing and interpreting

I know the difference between discrete and continuous data

I know the different types of data

I can calculate the mean, median, mode and range of a set of data

I know which is the best average to use

I can find the mean, median and mode from a frequency table

I can find and estimate for the mean from a grouped frequency table

I can find an estimate for the median from a grouped frequency table

I can find and estimate for the IQR from a grouped frequency table

I can draw a cumulative frequency diagram

I can find the median and IQR from a cumulative frequency diagram

I can draw box plots and use them to compare data

I can draw line graphs and time series graphs

I can calculate moving averages and comment on trend

I can draw and interpret stem and leaf diagrams

I can draw and use two way tables

I can draw and interpret frequency polygons

I can draw and interpret pie charts

I can draw and interpret scatter graphs

I can understand about extrapolation and interpolation

I can draw histograms with unequal widths

I can interpret histograms

relations between variables algebraically and graphically. Showing when terms will be in the sequence. Multi step/Multi process – Unknown on both sides; involving fractions

Handling Data

Fluency skills – Calculating averages fluently and with confidence Problem solving – many real life senarios Interpretation and representation – which is the best average and why. Showing trends. Multi-step/multi-process – comparing graphs; comparing sets of data. Finding missing data when given mean. Analytical – Analysing and interpretation of averages and graphs Reasoning and explanation skills – Compare two graphs. Identify outliers and comment on why they may not fit the trend. Use extrapolation and interpolation and identify weaknesses of extrapolating. Identify misconceptions. Extend their understanding of the number system; make connections between number relationships, and their graphical representations

I can find the median from a histograms Probability

I know the language associated with probability

I can calculate simple probabilities of events

I understand mutually exclusive events

I can use the AND/OR rule

I can work out the expected number of outcomes

I can list outcomes

I can use sample space diagrams to find probability of two events

I can draw tree diagrams to represent independent events

I can calculate probabilities from tree diagrams

I can draw and use tree diagrams to represent dependant events

I can find the relative frequency from experiment

I can compare experimental and theoretical probabilities

I can find the total combinations using product rule

I can draw and find probabilities from Venn diagrams

I can understand and use Venn diagram notation

Probability

Fluency skills – Fluent with language and calculating simple probability Reasoning and explanation skills – Difference between experimental and theoretical. Problem solving – Interpretation and representation – Showing lists of outcomes via diagrams. Interpretation of meaning of calculated probabilities Multi-step/multi-process – Outcomes of more than one event; dependent events Analytical – Venn diagram notation

Year 10

FOUNDATION

Algebra

I can expand single and double brackets and simplify

I can factorise linear expressions

I can solve linear equations

I can solve linear equations with unknowns on both sides

I can solve linear equations involving brackets

I can solve linear equations involving fractions

I can factorise simple quadratic expressions

I can solve simple quadratics by factorising

I can substitute into expressions and formula

I can change the subject of a formula

I can draw inequalities on a number line

I can solve linear inequalities Graphs

I can plot and read coordinates in 4 quadrants

I can recognise and draw horizontal and vertical lines

I can draw straight line graphs using a table of values

I can use y=mx+c

I can find the gradient of a line

Algebra Reasoning and explanation - extend their ability to identify variables and express relations between variables algebraically and graphically

Fluency skills - extend their understanding of algebraic simplification and manipulation to include quadratic expressions, and expressions involving surds and algebraic fractions. Extend to include quadratic equations, simultaneous equations and inequalities

Interpretation of worded questions. Representation – on number lines. Representation of lines on graphs. Interpretation of what gradient means (when graphs represent an aspect of real life) Problem solving – Apply to shapes, areas and angles. Compare two companies. Substitution into formulas that represent real life scenarios. Drawing and interpretation of distance time graphs Multi step/Multi process – Unknown on both sides; involving fractions

I can plot quadratic graphs and solve quadratics using graphs

I can draw/sketch/recognise cubic graphs and reciprocal graphs

I can draw and interpret real life graphs e.g distance time graphs

I can plot and use conversion graphs

Angles

I can calculate missing angles on a line, about a point and vertically

opposite angles

I can calculate missing angles in triangles

I can calculate missing angles in parallel lines

I can calculate missing angles in quadrilaterals

I know the different properties of triangles and quadrilaterals

I can sum the sum of interior angles in polygons

I can work with interior and exterior angles in regular polygons

I can understand and use bearings

transformations

I can reflect and describe reflections over a line (including y=x and y=-x)

I can rotate and describe rotations about a point (and on a coordinate grid)

I can translate a shape using simple instructions and vector

I can enlarge a shape by a positive scale factor and fractional scale factor

I know the effect of an enlargement on perimeter and area

I know the meaning of similarity and congruence Shape

I can construct triangles

I can construct bisectors

I understand what is meant by a locus and can use loci to solve problems

Measure

I can use compound measures (e.g. SDT and MDV)

Perimeter, Area and Volume

I can find the area and perimeter of rectangles and triangles

I can find the area of compound shapes

I can find the area of parallelograms and trapezium

I know the key words relating to circles

I can find circumference and area of circles

I can find the area and perimeter of shapes based on circles

I can find the length of an arc

I can find the area of a sector

Angles Fluency skills – recall angle facts and use to calculate missing angles Reasoning and explanation skills – giving reasons for answers to missing angles Problem solving – working with bearings, those that represent real life scenarios Interpretation and representation – finding number of sides of polygons Transformations Fluency skills – can perform transformations quickly and effieciently Reasoning and explanation skills – Can describe transformations Problem solving – effect of an enlargement on shapes areas Shape and measure Fluency skills - use mathematical language and properties precisely. Can convert and use compound measures

Reasoning and explanation skills – compound measures represent many real life scenarios Problem solving – involving SDT/MDV Interpretation and representation – Showing locus of points to represent real life scenario e.g. ship steering past rocks Perimeter, Area and Volume Fluency skills – Apply basic numeracy skills to finding area and perimeter of shapes Interpretation of worded questions – No diagram given, represent the words as a diagram and apply skills Problem solving – Given the area of one shape, find the missing side on another Reasoning and explanation skills – Given the answer, explain/demonstrate why this is the given solution. Begin to

I can name 3D shapes

I can find the volume and surface area of cuboids and prisms

I can find the volume and surface area of cylinders

I can find the volume and surface area of pyramids, cones and spheres

I can recognise and draw plans and elevations

Pythagoras and trigonometry

I can use Pythagoras theorem find the longest side in a right angled triangle

I can use Pythagoras theorem to find the shorter sides in a right angled

triangle

I can use Pythagoras theorem in isosceles triangles

I can use Pythagoras theorem to find the distance between two points

I can label the sides of a right angled triangle correctly

I can use the trigonometric ratios to find missing angles in right angled

triangles

I can use the trigonometric ratios to find missing lengths in right angled

triangles

I know the exact trigonometric values

HIGHER

Algebra

I can expand single and double brackets and simplify

I can factorise linear expressions

I can factorise quadratic expressions

I can solve linear equations

I can solve linear equations with unknowns on both sides

I can solve linear equations involving brackets

I can solve linear equations involving fractions

I can solve quadratics by factorising (including ax2)

I can complete the square on a quadratic expressions and find turning

points

I can solve quadratics by completing the square

I can solve linear simultaneous equations

I can solve simultaneous equations involving a quadratic or circle

I can simplify algebraic fractions

reason deductively in geometry, number and algebra, including using geometrical constructions. Multi step/Multi process – Apply area/perimeter skills to algebra, or functional skills questions such as running tracks and revolutions of a bicycle wheel Analytical – Extract relevant information from a question, interpret and apply it Pythagoras and trigonometry Fluency skills – recognise Pythagoras and trig ratios and correct scenario to use Reasoning and explanation - extend and formalise their knowledge trigonometric ratios, in working with measures and geometry, and in working with proportional relations algebraically and graphically

Problem solving – many real life scenarios Interpretation and representation – interpretation of answers, representation of questions in diagrams Multi-step/multi-process – calculating missing lengths and angles Analytical – distance between two points

Algebra

Reasoning and explanation - extend their ability to identify variables and express relations between variables algebraically and graphically

Fluency skills - extend their understanding of algebraic simplification and manipulation to include quadratic expressions, {and expressions involving surds and algebraic fractions} extend fluency with expressions and equations from key stage 3, to include quadratic equations, simultaneous equations and inequalities

Interpretation of worded questions. Representation – on number lines. Representation of lines on graphs. Interpretation of what gradient means (when graphs represent an aspect of real life)

I can solve equations involving algebraic fractions

I can change the subject of a formula

I can change the subject of a formula where you need to factorise

I can draw inequalities on a number line

I can solve linear inequalities

Graphs

I can draw straight line graphs

I can use y=mx+c

I can find the gradient of a line

I can plot quadratic graphs and solve quadratics using graphs

I can solve simultaneous equations using graphs

I can draw/sketch/recognise cubic, reciprocal and exponential graphs

I can recognise and draw graphs of circles

Angles

I can calculate missing angles on a line, about a point and vertically

opposite angles

I can calculate missing angles in triangles

I can calculate missing angles in parallel lines

I can calculate missing angles in quadrilaterals

I know the different properties of triangles and quadrilaterals

I can sum the sum of interior angles in polygons

I can work with interior and exterior angles in regular polygons

I can understand and use bearings

I know the parts of a circle

I know and can work with circle theorems

transformations

I can reflect and describe reflections over a line (including y=x and y=-x)

I can rotate and describe rotations about a point (on a coordinate grid)

I can enlarge a shape by a positive scale factor and fractional scale factor

I can enlarge a shape by a negative scale factor

I can understand the effect of enlargement on perimeter, area and volume

I can combine transformations

I know the meaning of similarity and congruence

Problem solving – Apply to shapes, areas and angles. Compare two companies. Substitution into formulas that represent real life scenarios. Drawing and interpretation of distance time graphs Multi step/Multi process – Unknown on both sides; involving fractions Graphs

Reasoning and explanation - extend their ability to identify variables and express relations between variables algebraically and graphically

Fluency skills – can draw simple lines from equations using variety of methods Problem solving – can link gradient of lines and equations to real life scenarios Interpretation and representation – interpretation of gradient. Multi-step/multi-process – Analytical – Sketching graphs and recognsing

Angles

Fluency skills – recall angle facts and use to calculate missing angles Reasoning and explanation skills – giving reasons for answers to missing angles especially with circle theorems Problem solving – working with bearings, those that represent real life scenarios Interpretation and representation – finding number of sides of polygons

Transformations

Fluency skills – can perform transformations quickly and effieciently Reasoning and explanation skills – Can describe transformations. Prove triangles are congruent Problem solving – effect of an enlargement on shapes areas

I know the conditions for congruent triangles

I can prove two triangles are congruent

Shape

I can construct triangles

I can construct bisectors

I can construct angles

I understand what is meant by a locus and can use loci to solve problems Measure

I can use compound measures (e.g. SDT, MDV and FPA)


I can find the area and perimeter of rectangles and triangles

I can find the area of compound shapes

I can find the area of parallelograms and trapezium

I know the key words relating to circles

I can find circumference and area of circles

I can find the area and perimeter of shapes based on circles

I can find the length of an arc

I can find the area of a sector

I can find the volume and surface area of cuboids and prisms

I can find the volume and surface area of cylinders

I can find the volume and surface area of pyramids, cones and spheres

I can use similar shape properties to find values (similarity in length, area

and volume)



I can use Pythagoras theorem to solve problems in 2D

I can use Pythagoras theorem to solve problems in 3D

I can use the trigonometric ratios to find missing angles in right angled

triangles

I can use the trigonometric ratios to find missing lengths in right angled

triangles

I know the exact trigonometric values

I can use the trigonometric rations to solve problems in 3D

Shape and measure

Reasoning and explanation - reason deductively in geometry, including using geometrical constructions. compound measures represent many real life scenarios Fluency skills – use mathematical language and properties precisely. Can convert and use compound measures

Problem solving – Problem solving – involving SDT/MDV/FPA Interpretation and representation – Showing locus of points to represent real life scenario e.g. ship steering past rocks


Fluency skills – Apply basic numeracy skills to finding area and perimeter of shapes Interpretation of worded questions – No diagram given, represent the words as a diagram and apply skills Problem solving – Given the area of one shape, find the missing side on another Reasoning and explanation skills – Given the answer, explain/demonstrate why this is the given solution. Begin to reason deductively in geometry, number and algebra, including using geometrical constructions. Multi step/Multi process – Apply area/perimeter skills to algebra, or functional skills questions such as running tracks and revolutions of a bicycle wheel Analytical – Extract relevant information from a question, interpret and apply it Pythagoras and Trigonometry Fluency skills – recognise Pythagoras and trig ratios and correct scenario to use Reasoning and explanation - extend and formalise their knowledge trigonometric ratios, in working with measures and geometry, and in working with proportional relations algebraically and graphically

Problem solving – many real life scenarios. Area of triangles. Interpretation and representation – interpretation of answers, representation of questions in diagrams

I can use the Sine and cosine rules in non-right angled triangles

I can calculate the area of a triangle

I can plot and recognise the sine, cosine and tangent graphs

Vectors

I can add and subtract vectors

I know how to apply vector methods to solve geometrical problems

I know how to use vectors to prove geometrical results

Multi-step/multi-process – calculating missing lengths and angles Analytical – distance between two points. In 3D. Vectors Fluency skills – work with column vectors efficiently. Reasoning and explanation skills – Applying vector notation to geometry problems. Problem solving – finding vectors Interpretation and representation – Proving parallel lines/same line.

Year 11

FOUNDATION

Standard form and efficiency of a calculator

I can convert between standard form and ordinary numbers

I can add and subtract using standard form

I can multiply and divide using standard form

I can use a calculator correctly Percentages

I can calculate simple and compound interest


Algebra

I can solve simultaneous equations using elimination

I can solve simultaneous equations graphically

Maps and scale and real life graphs


I can sketch 3D shapes based on their plans and elevations

I can draw nets of 3D shapes

I can sketch a 3D shape from its net

I can draw diagrams to scale

I can interpret scales in real life context

I can use scales with a mixture of units

I can plot and use conversion graphs

I can plot and use graphs showing direct proportion

Number

Fluency skills - extend their understanding of the number system to include powers. Select and use appropriate calculation strategies to solve increasingly complex problems, use of standard form and application.. Understanding and using laws of indices fluently


Interpretation of worded questions – Apply skills to questions involving fractions, percentages and decimals Algebra Fluency skills – Use elimination to solve equations Interpretation and representation – form simultaneous equations and interpret answers. Representing equations on graph.

I can plot and read real life graphs

Congruence and similarity

I can understand when 2 shapes are similar

I can use similarity to find missing lengths

I can understand when 2 shapes are congruent

I can use congruence to find missing lengths


I can use Pythagoras theorem to find missing lengths on right angled

triangles

I can label triangles correctly

I can use the trigonometric ratios to find missing angles

I can use the trigonometric ratios to find missing lengths

I can know the exact trig values

Vectors

I can understand and use vector notation

I can add, subtract and multiply with vectors

I can draw resultant vectors

HIGHER

Decimals, percentages and ratio

I can find the multipliers with percentage problems and interpret answers

I can answer questions involving simple and compound interest

I can answer growth and decay questions

I can write ratios as a linear function


I can recognise direct and inverse proportion

I can calculate the constant of proportionality

I can find formulas describing direct and inverse proportion

I can solve problems involving direct and inverse proportion

Congruence and similarity Fluency skills – conditions for similarity and congruence Reasoning and explanation skills – finding missing lengths Interpretation and representation – using conditions to find missing lengths. Can state why shapes are similar or congruent using mathematical notation. Pythagoras and trigonometry Fluency skills – recognise Pythagoras and trig ratios and correct scenario to use. Can state exact trig values confidently. Reasoning and explanation - extend and formalise their knowledge trigonometric ratios, in working with measures and geometry, and in working with proportional relations algebraically and graphically

Problem solving – many real life scenarios. Area of triangles. Interpretation and representation – interpretation of answers, representation of questions in diagrams Multi-step/multi-process – calculating missing lengths and angles Analytical – distance between two points. In 3D. Vectors Fluency– work with column vectors efficiently. Reasoning and explanation skills – Applying vector notation to geometry problems. Problem solving – finding vectors Interpretation and representation – Proving parallel lines/same line. Number Fluency skills - extend their understanding of the number system to include powers. Select and use appropriate calculation strategies to solve increasingly complex problems, use of standard form and application.. Understanding and using laws of indices fluently


Interpretation of worded questions – Apply skills to questions involving fractions, percentages and decimals

I can recognise graphs showing direct and inverse proportion

Algebra, equations and functions

I can expand and simplify 3 (or more) binomials

I can solve simultaneous equations

I can solve quadratic inequalities

I can solve quadratic equations by completing the square

I can solve quadratic equations by using quadratic formula

I can solve fractional equations

I can understand function notation

I can find the output of a function given the input

I can find the inverse function by rearranging

I can find a composite function by combining two functions together

I can use iteration to find a solution to an equation to an appropriate degree

of accuracy

Proofs

I can use algebraic proof to show a statement

I can use identity notation to show something

I can prove circle theorems

I can prove two triangles are congruent

I can find the nth term of geometric and quadratic sequences

Graphs

I can draw graphs of circles

I can recognise quadratic, cubic, reciprocal exponential and circle graphs

I can sketch graphs

I can solve simultaneous equations graphically

I can calculate the gradient of a straight line and use this to find velocity

form a distance time graph

I can calculate the area under a graph consisting of straight lines and can interpret the meaning of the area under a velocity time graph I can interpret gradients of the straight lines on velocity time graphs

I can estimate and interpret the gradient and area under a velocity time

graph

I can transform the graph of a given function and identify a transformation

I can give the equation of a tangent to a circle

Probability

I can draw Venn diagrams and use venn diagram notation

I can set up and use probability equations

Algebra Fluency skills – Use elimination to solve equations; expand more than one binomial; solve quadratics; understand function notation. Interpretation and representation – form simultaneous equations and interpret answers. Representing equations on graph. Analytical – using iterative processes to solve equations that would not normally be solved Proofs Reasoning and explanation - make and test conjectures about the generalisations that underlie patterns and relationships; look for proofs or counter-examples; begin to use algebra to support and construct arguments {and proofs}

Graphs Fluency skills – sketch and recognise graphs; transform graphs Reasoning and explanation skills – using gradient to represent acceleration and area to represent distance Problem solving – velocity time graphs represent real life scenarios Interpretation and representation – velocity time graphs represent real life scenarios


I can solve problems using Pythagoras and trigonometry in 2D and 3D

I can use the Sine and cosine rules in non-right angled triangles

I can find the area of triangles

Vectors

I can add and subtract vectors

I know how to apply vector methods to solve geometrical problems

I know how to use vectors to prove geometrical results

Pythagoras and trigonometry Fluency skills – recognise Pythagoras and trig ratios and correct scenario to use. Can state exact trig values confidently. Reasoning and explanation - extend and formalise their knowledge trigonometric ratios, in working with measures and geometry, and in working with proportional relations algebraically and graphically

Problem solving – many real life scenarios. Area of triangles. Interpretation and representation – interpretation of answers, representation of questions in diagrams Multi-step/multi-process – calculating missing lengths and angles Analytical – distance between two points. In 3D. Vectors Fluency– work with column vectors efficiently. Reasoning and explanation skills – Applying vector notation to geometry problems. Problem solving – finding vectors Interpretation and representation – Proving parallel lines/same line.

Intention 1 ‘The removal of barriers’

One of the greatest barriers to employment is a lack of understanding of basic mathematics. We want all our students to leave TGA with a good mathematical grounding which should be backed up by our students achieving a formal qualification. We want our students to enjoy their lessons and be undaunted by the subject. They should be able to communicate mathematical ideas effectively using subject specific keywords.

Intention 2 ‘Developing skills for learning’

Mathematics is a fundamental skill that cannot be avoided. As such we have developed a skill based scheme of work that promotes problem solving and resilience and ensures full curriculum coverage. We encourage risk taking by rewarding process rather than the final outcome. Faculty CPD is used to discuss pedagogy of forthcoming topics. We share different strategies, resources and assessment for learning tools to ensure all teachers know to differentiate down for all students.

Intention 3 ‘Fostering personal attributes’

As a school we follow the “Gainsborough Way”, as such the mathematics department fully embraces its tenets and goals.

Intention 4’ Enriching student experiences and broadening their horizons’

We aim to include worded problem solving questions in every lesson so students can relate mathematics to the real world. Teachers also aim to show students where the mathematics is used in their chosen career paths. We try to enrich pupils maths experience by offering an after school maths enrichment club, a chess club and a breakfast club for Numeracy students. All students in year 11 have access to maths revision sessions held after school with seasonal themes to engage learners. We also look to broaden horizons through external trips and having year 11 pupils engage in a residential trip.

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