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Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Support
Module 1 Module 1 Module 2 Module 2 Module 3
Programme of Study
Number
Shape and
space
Algebra
Data handling
1.1 Number 1 Square numbers
Number sequence 1
Prime numbers
Mental strategies
Addition/multiplication facts
Using letter symbols
3.1 Number Times tables
Adding on
Factors and multiples
Prime numbers 2
Short and long multiplication
Short division
Remainders
Rounding
Order of operations
5.1 Transformations
Reflective symmetry 2
Reflections 2
Translation 2
Rotational symmetry
1.2 Number 2 Numbers
Adding and subtracting
Negative numbers
Adding and subtracting decimals
Calculator skills
Multiplication and division
3.2 Measures Metric units and capacity
Estimating metric units
Mass problems
Capacity problems
Coordinates
5.2 Data Averages and range
Bar charts and line graphs
Data handling project 2
1.3 Shape Measuring length
Metric units of length
Perimeter
Area
Three dimensional shapes
3-D shapes problem solving
Nets 1
3.3 Time and money
Units of time
Reading clocks
Timetables
Time problems
Real life problems
Money problems
5.3 Probability Expected probability
Probability experiments
1.4 Data Interpreting data 3.4 Data Charts and graphs
Data handling project 1 5.4 Number Factors 2
Times tables
Mental strategies
Adding and subtracting 2
Multiplying whole
numbers and decimals
Long multiplication
Rounding remainders
Calculator, brackets and square roots
2.1 Number The four operations 1
Recognising fractions
Equivalent fractions
Percentages
Decimal fractions
Ordering decimals
Fractions of quantities
Decimals, fractions and percentages 1
Improper fractions 1
3.5 Number Triangular and square numbers
Number sequences 2
Square numbers and square roots
6.1 Number Decimals, fractions and percentages
The four operations 3
Using a calculator
Sequence rules
2.2 Data Bar charts 4.1 Transformations
Reflective symmetry
Reflections 1
Translations 1
6.2 Algebra Equations
Balancing equations
Substituting 2.3 Probability Probability 1
Probability 2 4.2 Angles Angles 2
Angles on a straight line 6.3 Shape Coordinates in 4
quadrants
Missing angles
Nets 2 2.4 Algebra Collecting like terms 1
Using letter symbols 2 4.3 Fractions Fractions
Fractions of quantities 2
Fractions and decimals
Improper fractions 2
Ordering fractions
2.5 Shape Triangles
Coordinates 1
Angles 1
Parallel and perpendicular
4.4 Number Percentages of numbers
Doubling and halving
Multiplying and partitioning
Multiplication
Division
lines The four operations 4.5 Algebra Using letter symbols 3
Collecting like terms 2
Assessment Opportunities
Minimum of
2 assessment
tasks per 10
week module
Assessed Homework Typical question Suppose you roll an ordinary dice with numbers 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3
Ten week test Typical question A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days?
Assessed Homework Typical question A turkey must be cooked for 40 minutes for every kilogram. How long do you need to cook a turkey that weighs (a) 3 kg ? (b) 5 kg? Give your answers in hours and mins.
Ten week test Typical question
Ella and Conor are given £65 to share in the ratio 3:2 How much does each person get? b) £40 can be exchanged for 74 dollars. How many dollars can be exchanged for £160?
Assessed Homework Typical question A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own?
Ten week test Typical question 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over?
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Support
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Number Algebra Shape and Space Data Handling
1.1 Properties of numbers
Adding and subtracting
Long multiplication
Long division
Negative numbers
Factors and multiples
3.1 Graphs Vertical and horizontal straight lines
Straight line graphs 1
Graphs from real life
5.1 Number Mental strategies 3 (decimals, fractions, percentages)
Order of operations
Estimation
Adding, subtracting,
long multiplication
and division
1.2 Angles
Missing angles
Using a protractor
Labels for lines, angles and shapes
Angles and
parallel lines
3.2 Decimals Decimal fractions
Multiplying by a decimal
5.2 Measures Metric measure
1.3 Algebra Using letter symbols 1 Collecting like terms 1 Substitution and formulas 1
3.3 Number work
Multiplying and dividing by 10 and 100
Rounding
Estimating
Mental strategies 2 ( decimals, fractions and percentages)
Short division
5.3 Graphs Vertical and horizontal lines 2
Straight line graphs 2
Graphs from real life
1.4 Number work Square numbers and square roots
Cubes and higher powers
Sequences
Sequence rules
Prime numbers
3.4 Using a calculator
Using a calculator effectively
5.4 Algebra Equations 2
Equivalent fractions 1.5 Shape Quadrilaterals
Constructing triangles 4.1 Transformations
Reflections
Rotations
Translations
Enlargements
5.5 Investigations
Investigations
2.1 Fractions and percentages
Ordering fractions
Decimals and fractions
Adding and subtracting fractions 1
Fractions of quantities
Percentages
Percentage increase and decrease
4.2 Algebra Using symbols 2
Equations 1
Substitution into formulas 2
6.1 Ratio Introduction to ratio
Dividing into a given ratio
Unitary method
2.2 Number work Multiplication and division facts
Mental strategies 1 (x and ÷)
Mental strategies 2 (x and ÷)
Mental strategies 1 (decimals, fractions and percentages)
4.3 Handling data
Data – hypotheses
Averages and range 1
Pie charts
Stem and leaf diagrams
Interpreting data
Data handling project
6.2 3-D shapes Identifying 3-D shapes
Scale drawings
2.3 Probability Introduction to probability
Probability experiments Outcomes
6.3 Shape Co-ordinates
Surface area and volumes of cuboids
2.4 Measures Metric measures – length
Metric measures – capacity
Reading scales
6.4 Data Data in groups and frequency diagrams
Pie charts 2
Interpreting and comparing data
Data handling project 2.5 Area and
Perimeter
Perimeter and area – rectangles
Perimeter and area – triangles/rectangles
Surface area of cuboids
Volume of a cuboid
Assessment Opportunities
Minimum of 2
assessment tasks
per 10 week module
Assessed homework Typical question Find the new temperature in each case below (a) The temperature is + 4º and it falls by 7º (b) The temperature is – 3º and it falls by 6º
Ten week test Typical question In 2008 a litre of petrol cost 90p. In 2009 the price increased by 10%. How much did a litre of petrol cost in 2009?
Assessed homework Typical question a) Round the number 841 to the nearest 10 (b) Round the number 268 to the nearest 100 (c) Round the number 17.45 to the nearest whole number.
Ten week test Typical question
Gary buys a CD for £9.55 and book for £2.99 How much money will Gary have left from £20? Show your working.
Assessed homework Typical question The latest James Bond DVDs costs £7.95 each. How many of these DVDs can you buy with £50?
Ten week test Typical question
Find the value of each expression when d = 3 e = 4 f = –2 (a) d + e + f (b) d2 – e
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Support
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Key skills taught /
developed / assessed
1.1 Sequences Introduction to sequences
Sequence rules
Using words for functions
3.1 Area Area of triangles and rectangles
Areas made from triangles and rectangles
Surface area and volumes of cuboids
5.1 Number Problem solving
Unitary method
1.2 Graphs Graphs from real life
Straight lines 1
3.2 Coordinates Coordinates 5.2 Shape Quadrilaterals and isosceles triangles
3D Objects, plans and elevations
Bearings Surface area and volumes of cuboids 2
1.3 Number 1 Ordering decimals
Fractions of quantities
Ordering fractions
Adding and subtracting fractions
3.3 Metric measures
Measures 5.3 Data Stem and leaf diagrams
1.4 Number 2 Changing into percentages
Ratio 1
Unitary method 1
Percentage increase and decrease
Rounding off
3.4 Number Time
Estimation
Addition/subtraction of numbers and
Decimals
Multiplications and division
Calculator work
Negative numbers
Factors, multiples and primes
Squares/cube numbers and square roots
1.5 Algebra Collecting like terms and brackets
Equations
4.1 Probability Probability
Probability game
2.1 Angles Parallel and perpendicular lines
Missing angles
Angles and parallel lines Angles in quadrilaterals
4.2 Transformations Symmetry
Enlargements
Scale drawing
2.2 Shape Quadrilaterals
The circle
Constructing triangles
Construction
4.3 Ratio 2 Ratio problems
2.3 Data Two-way tables
Pie charts
Averages and range
Comparing data
Project Tables, graphs and charts
2.4 Number Order of operations
Addition and subtraction Multiplication and division
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed homework Typical question Ian and Allie share a ₤2100 prize in the ratio 3:4. How much does Allie get?
Ten week test Typical question Find the mean of the numbers 4 , 7 , 3 , 8 , 2 (b) Find the median of the numbers 4 , 9 , 3 , 6 , 6 , 1 , 3 (c) Find the mode of the numbers 3 , 1 , 2 , 3 , 1 , 4 , 3 , 2
Assessed homework Typical question How many 200ml containers of milk can be filled from a 4 litre bottle?
Ten week test Typical question
Round off these numbers to one decimal place (a) 7.34 (b) 18.752 (c) 0.6513
Assessed homework Typical question A TV film starts at 19:20. The film is 55 minutes long. When does the film finish?
Ten week test Typical question a) Write down 3 numbers with a mean of 5 (b) Write down 5 numbers with a median of 7 (c) Write down 8 numbers with a range of 11
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Core
Module 1 Module 1 Module 2 Module 2 Module 3
Programme of Study
Number
Shape and space
Algebra
Data handling
1.1 Whole number arithmetic Use place value of digits in whole numbers
Add with whole numbers
Subtract with whole numbers
Multiply with whole numbers
3.1 Coordinates Use coordinates with positive and negative numbers
Solve problems involving shapes
5.1 Rotation Rotating shapes
Rotational symmetry
1.2 Short division Divide a whole number by another whole number
Solve mixed problems involving remainders
3.2 Long multiplication and division 2
Practise long multiplication and division
Solve word problems
5.2 Line symmetry Line symmetry
Reflections
1.3 Long multiplication and division
Multiply by a two or three digit number
Divide by a two digit number
Solve mixed problems
3.3 Decimals 1 Measure shapes using decimals
Use place value with decimals
Write numbers in order of size
Add and subtract decimal numbers
5.3 Translation Translations
1.4 Using a calculator The order of operations (+,-,x,÷)
Using a calculator with simple expressions
Using the brackets key on a calculator
3.4 Multiplying and dividing with decimals
Multiply and divide by 10,100, 1000
Multiply decimals by whole numbers
Divide decimals by whole numbers
5.4 Number review Multiples, factors, prime numbers, HCF, LCM
Fractions, decimals and percentages
Long multiplication and division
Adding, subtracting, multiplying and
dividing decimals
Finding a fraction of or percentage of a Quantity
1.5 Sequences Find the next term in a sequence
Find and use a rule for a sequence
Solve problems involving harder sequences
3.5 Properties of numbers
Prime numbers
Factors of numbers
Multiples of numbers
Square numbers and cube numbers
5.5 Probability 2 Finding the probability of an event
1.6 Perimeter and area Find perimeters
Find areas involving rectangles
Find areas involving triangles
3.6 Straight line graphs
Lines which are parallel to the axis
Sloping lines
Finding the equation of a line
Drawing straight line graphs
5.6 Interpreting graphs Read information from line graphs
Draw line graphs in
real life situations
UNIT 1: Mixed review 3.7 Handling data Bar charts and bar-line graphs
Data in groups and line graphs
Pie charts
Problems answered using statistics
5.7 Algebra review Algebraic expressions and formulas
2.1 Averages and range Find the mean, median and mode
Find the range
Compare 2 sets of data using average and range
3.8 Probability 1 The probability scale
Experimental probability
Equally likely outcomes
Expected probability
5.8 Rounding numbers Round numbers
Calculate using estimates
2.2 Fractions Find equivalent fractions
Find a fraction of a
3.9 Applying maths in a range of contexts
Solve problems in a variety of real life
Unit 5: Mixed review
number
Add and subtract fractions
situations
Solve a range of puzzles
Investigate problems with more than one solution
2.3 Fractions, decimals and percentages
Convert between fractions, decimals and percentages
Unit 3: Mixed review 6.1 More equations Review equations covered in section 4.6
2.4 Angles Label angles
Measure and draw angles with a protractor
Estimate angles
Identify acute, obtuse, and reflex angles
Calculate angles on a straight line and at a point
Calculate angles in a triangle
4.1 Constructing triangles
Construct triangles with protractor and Ruler
6.2 Sequence rules Find rules for sequences
2.5 Rules of algebra Use letters for numbers
Collect like terms
Substitute numbers into a formula
Tackle balance puzzles
4.2 Two dimensional shapes
Recognise parallel, perpendicular, horizontal and vertical lines
Recognise different types of triangle
Recognise different types of quadrilateral
Recognise different polygons
Identify symmetry properties of Quadrilaterals
6.3 Metric and imperial units
Convert metric units
Convert between metric and imperial
Read scales
Change units for some problems
4.3 Percentages Review the conversion of
6.4 Angles and constructions
Review angle work from unit 2
fractions, decimals and percentages
Learn how to recognise common percentages
Learn how to find a percentage of a number
Construct a triangle with three sides given
Construct bisectors of lines and angles
4.4 Proportion and ratio
Tackle problems involving proportion
Express proportions
Deal with ratios
6.5 Three dimensional objects
Recognise common solid objects
Count faces, edges and vertices
Make shapes with nets
4.5 Negative numbers
Compare negative numbers
Multiply and divide negative numbers
Add and subtract negative numbers
4.6 More algebra Review substituting numbers into a formula
Learn how to solve equations
Learn how to multiply out single brackets
4.6 More algebra Review substituting numbers into a formula
Learn how to solve equations
Learn how to multiply out single brackets
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed Homework Typical question 1a) Write in a more simple form i) 5n + 3n + m ii) 8a + b - 3a + 2b b) Here is a formula involving p and n. p = 6n - 10 Find the value of p when n = 12
Ten week test Typical question A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days?
Assessed Homework Typical question 1.Suppose you roll an ordinary dice with numbers 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3 c) a 7 2. Look at these numbers 4, 15, 7, 36, 21 a) Which number is a multiple of 5? b) Which number is a factor of 14? c) Which of the numbers are prime numbers? d) Which of the numbers are square numbers?
Ten week test Typical question
Ella and Conor are given £65 to share in the ratio 3:2 How much does each person get? b) £40 can be exchanged for 74 dollars. How many dollars can be exchanged for £160?
Assessed Homework Typical question A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own?
Ten week test Typical question 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over? 2. The eleventh number in the sequence 1, 3, 9, 27 . . . . is 59049. (a) What is the tenth number in the sequence? (b) What is the thirteenth number in the sequence?
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Core
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Number Algebra Shape and Space Data Handling
1.1 Sequences Find the next term of a sequence
Find and use a rule for a sequence
3.1 Written calculations
Review paper and pencil calculations
Read scales and use place value
Multiply decimal numbers
Divide decimal numbers
5.1 Ratio and proportion
Use ratios
Tackle problems involving direct proportion
Use map scales
1.2 Fractions Convert improper fractions and mixed numbers
Adding and subtracting fractions
Multiplying fractions
3.2 Using a calculator
Use the order of operations with and without a calculator
Use fractions on a calculator
Use brackets on a calculator
Use negative numbers on a calculator
5.2 Negative numbers review
Add and subtract negative numbers
Multiply and divide negative numbers
1.3 Properties of numbers Use prime numbers, factors and multiples
Use square numbers
Break down numbers into prime factors
Use cube numbers and higher powers
3.3 Formulas and expressions
Substitute numbers into a range of formula
Work out values of expressions
5.3 Sequences – the nth term
Find the nth term of arithmetic sequences
1.4 Negative numbers Add and subtract negative numbers
Multiply and divide negative numbers
3.4 Drawing graphs Use lines which are parallel to the axes
Draw graphs
Use graphs
Find the equation of a line
5.4 Enlargement Enlarge shapes Use the centre of enlargement
1.5 Area and perimeter Find areas and perimeters using rectangles and triangles
Find areas of parallelograms and
3.5 Reflection Draw reflections on squared paper
Draw reflections using coordinates
5.5 Congruent shapes and tessellation
Use congruent shapes
Draw tessellation
trapeziums 2.1 Rounding off and
estimating Round numbers to decimal places
Calculate using estimates
4.1 Describing data Use the mean, mode, median and range of a set of data
Compare sets of data
Find averages from frequency tables
Draw and use stem and leaf diagrams
5.6 Drawing graphs review
Draw graphs
Find the equation of a line
2.2 Using algebra Collect like terms
Use letters for numbers
Use rules of algebra
4.2 Rotation and combined transformations
Rotate shapes
Find the centre of rotation
Combine transformations
5.7 Area review Use the areas of rectangles, triangles, trapeziums and parallelograms
Use the area of a circle
2.3 Fractions, decimals, percentages
Change fractions to decimals and vice versa
Change fractions to recurring decimals
Change to a percentage and vice versa
4.3 Interpreting and sketching real life graphs
Interpret and sketch real-life graphs
6.1 Percentages Express one number as a percentage of another number
Find a percentage of a number
Find percentage increases and decreases
2.4 Geometrical reasoning Calculate angles with parallel lines
Prove angle rules
Calculate angles in a quadrilateral
Solve mixed angle problems
4.4 Brackets and equations
Multiply out single brackets
Solve linear equations
Solve linear equations involving brackets
Solve problems by trial and improvement
Form equations to solve problems
6.2 Probability Find the probability of events occurring or not occurring
Find experimental probability
Find probabilities involving two events
2.5 Construction and locus Construct triangles
Describe a locus
Draw standard constructions
4.5 Fractions review Add and subtract fractions
Multiply fractions
Convert between fractions, decimals and percentages
6.3 Measures Convert metric units
Use imperial units
2.6 Circles Find the circumference of a circle
Find the area of a circle
4.6 Handling data Use two-way tables
Use grouped date
Use pie charts
Use scattergraphs
6.4 Algebra review
Collect like terms
Substitute numbers for letters
Multiply out single brackets
Solve linear equations
6.5 3-D objects Draw 3-D objects on isometric paper
Solve problems with 3-D objects
Draw 3 different views of a 3-D object
6.6 Bearings and scale drawing
Use bearings
Make scale drawings
6.7 Decimals review
Add, subtract and order decimals
Multiply and divide decimals
6.8 Volume Find and use volumes of cuboids
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed homework Typical question a)Work out 3/5 of £40 b) Work out 3/4 -1/3
Ten week test Typical question Write down which one below is equal to π. a)The circumference of a circle divided by its radius. b)The diameter of a circle divided by its circumference. c)The circumference of a circle divided by its diameter.
Assessed homework Typical question The total mass of six people is 264 kg. Work out the mean mass of the people
Ten week test Typical question
a) Work out 50 – (80 ÷ 15) b) Work out 8 + 16 ÷ 2 – 1
Assessed homework Typical question On a holiday in Spain Susie exchanged £25 for 30 euros. How many euros could she get for £40?
Ten week test Typical question
Solve the questions to find n in each case. (a) 5n + 3 = 15 – 3n (b) 5(n – 2) = 3(n + 2)
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Core
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Key skills taught /
developed / assessed
1.1 Written calculations Review paper and pencil calculations
Multiply and divide decimal numbers
Review long multiplication and division
Understand the effect of multiplying and dividing by numbers between 0 and 1
3.1 Drawing graphs and y=mx + c
Draw straight line graphs
Draw curved graphs
Find gradients of straight lines
Use y = mx + c
5.1 Pythagoras’ theorem
Use Pythagoras to find lengths of sides in right angled triangles
1.2 Using algebra Simplify terms
Use letters for numbers
Multiply out single brackets
Factorise with common factors
3.2 Area Find areas using rectangles and triangles
Find areas of trapeziums and parallelograms
5.2 Number review Review non-calculator arithmetic
Use negative numbers
Use fractions and percentages
1.3 Geometrical reasoning Use the properties of a quadrilateral
Find angles in polygons
Review general angle work
3.3 Transformations Translate shapes Enlarge shapes by a fractional scale factor
5.3 Probability Work out probabilities
Examine mutually exclusive events
1.4 Fractions Multiply and divide fractions
Add and subtract fractions
3.4 Charts and graphs Interpret charts
Use pie charts
5.4 Interpreting graphs Use travel graphs
Sketch and interpret graphs
Draw and interpret frequency polygons
1.5 Scatter graphs Investigate correlation on scatter graphs
Use a line of best fit
3.5 Drawing and visualising 3D shapes
Draw and visualise 3D shapes
Identify planes of symmetry
5.5 Compound Measures
Find speed, distance and time
Use other compound measures
1.6 Index laws Use index form and square roots
Multiply and divide index numbers
Raise a power to another power
3.6 Volume Use volumes of prisms
Use volumes of cylinders
5.6 Algebra review Multiply out and factorise expressions
Review index laws and substitute into formulas
Draw graphs
Solve equations and find sequence rules
2.1 Using a calculator Use a calculator to solve a mixture of problems
4.1 Percentages Review basic percentages
Find percentage increases and decreases
Calculate percentage changes
Find reverse percentages
5.7 Errors in measurement
Find and use upper and lower bounds
2.2 Circles Use the circumference of a circle
Use the area of a circle
4.2 Equation review Solve equations
Solve problems using trial and improvement
Unit 5: Mixed review ASSESSED
HOMEWORK
2.3 Construction and scale drawing
Use standard constructions
4.3 Finding a rule Find the nth term of a linear sequence
Explore quadratic sequences
6.1 Shape and space review
Calculate areas and angles
2.4 Solving equations Solve linear equations
Solve linear equations involving brackets
Use equations to solve problems
4.4 Averages and range
Use the mean, median, mode and range
Find averages from frequency tables
Calculate an estimate for the mean from grouped date
6.2 Practice test papers Check how you are doing with three practice test papers
2.5 Estimating Calculate using estimates
4.5 Ratio and map scales
Use ratios
Share using ratios
Use map scales
6.3 Simultaneous equations
Solve simultaneous equations graphically
Solve simultaneous equations algebraically
2.6 Fully functional Use timetables
Use charts and tables
Minimise costs
4.6 Locus Draw loci 6.4 Collecting and interpreting data
Learn about collecting data and questionnaires
Collect your own data to answer a question or solve a problem
6.5 Inequalities Write and display inequalities
Solve inequalities
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed homework Typical question Write in index form (a) 3 x 3 x 3 x 3 x 3 (b) n x n x n (c) 8
3 x 8
7
Ten week test Typical question Simplify the following expressions (a) 4a x 5a (b) 4(x + 3) + 2 x (c) 9(t - 2) + 3(2t + 5)
Assessed homework Typical question Look at the numbers 11, 3, 6, 8, 4 (a) What is the range of the numbers? (b) What is the mean average of the numbers?
Ten week test Typical question
A floor measuring 4m by 3.5m is to be covered by square tiles measuring 50cm by 50cm. The tiles are sold in packs of 10 for £12.95 per pack. How much will it cost to buy the tiles for this floor? (Note that you have to buy packs of 10 tiles)
Assessed homework Typical question The price of a ticket to watch Chelsea went up from £40 to £48. Work out the percentage increase in the price.
Ten week test Typical question (a) A bird is flying at a steady speed of 8m/s. How long does it take to fly 20m ? (b) A train takes 4 hours to travel a distance of 260km. What is its average speed ?
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 7 Higher
Module 1 Module 1 Module 2 Module 2 Module 3
Programme of Study
Number
Shape and space
Algebra
Data handling
1.1 Whole number arithmetic Use place value of digits in whole numbers
Add, subtract and multiply with whole numbers
Divide a whole number by a single digit number
3.1 Coordinates Use coordinates with positive and negative numbers
Solve problems involving shapes
5.1 Rotation Rotating shapes
Rotational symmetry
1.2 Long multiplication and division
Multiply a two or three digit number
Divide by a two digit number
Solve mixed problems
3.2 Long multiplication and division 2
Practise long multiplication and division
Solve word problems
5.2 Line symmetry Line symmetry
1.3 Decimals Use place value with decimals
Add and subtract decimal numbers
Multiply and divide decimal numbers
3.3 Decimals 2 Add, subtract, multiply and divide
numbers with decimals
5.3 Translation Translations
1.4 Using a calculator The order of operations (+,-,x,÷)
Using a calculator with simple expressions
Using brackets and memory keys on a calculator
3.4 Properties of numbers
Prime numbers
Factors of numbers
Multiples of numbers
Square and cube numbers
5.4 Number review Multiples, factors, HCF, LCM
Fractions, decimals and percentages
Long multiplication and division
Adding, subtracting, multiplying and
dividing decimals
Finding a fraction or percentage of a quantity
1.5 Sequences Find the next term in a sequence
Find and use a rule for a sequence
Solve problems involving harder sequences
3.5 Straight line graphs
Lines which are parallel to the axis
Finding the equation of a line
Drawing straight line graphs
5.5 Probability 2 Finding the probability of an event
1.6 Perimeter and area Find perimeters
Find areas involving rectangles
Find areas involving triangles
3.6 Handling data Bar charts and bar line graphs
Data in groups and line graphs
Pie charts
Problems answered using statistics
5.6 Interpreting graphs Read information from line graphs
Draw line graphs in real life situations
Interpret and draw travel graphs
UNIT 1: Mixed review 3.7 Probability 1 The probability scale
Experimental probability
Equally likely outcomes
Expected probability
5.7 Rounding numbers Round numbers
Calculate using estimates
2.1 Averages and range Find the mean, median and mode
Find the range
Compare 2 sets of data using average and range
Find averages from frequency tables
3.8 Applying maths in a range of contexts
Solve problems in a variety of real life
situations
Solve a range of puzzles
Investigate problems with more than
one solution
5.8 Circles Find the circumference of a circle
Find the area of a circle
2.2 Fractions Find equivalent fractions
Find a fraction of a number
Add and subtract fractions (including mixed numbers)
Unit 5: Mixed review
2.3 Fractions, decimals and percentages
Convert between fractions, decimals and percentages
6.1 More equations Review equations covered in section
4.6 2.4 Angles Label angles
Measure and draw angles with a protractor
Calculate angles on a straight line and at a point
Calculate angles in a triangle
Calculate angles with parallel lines
Calculate angles in a quadrilateral
4.1 Constructing triangles
Construct triangles with protractor and
ruler
Construct triangles with three given
sides
6.2 Sequence rules Find rules for sequences
2.5 Rules of algebra Use letters for numbers
Collect like terms
Multiply algebraic terms
Substitute numbers into a formula
Tackle balance puzzles
4.2 Two dimensional shapes
Recognise different types of
quadrilateral
Recognise different polygons
Identify symmetry properties of
Quadrilaterals
6.3 Metric and imperial units
Convert metric units
Convert imperial units
Convert between metric and imperial
Change units for some problems
4.3 Percentages Review the conversion of fractions,
decimals and percentages
Express one number as a percentage of another
Find a percentage of a number
6.4 Angles and constructions
Review angle work from unit 2
Construct bisectors of lines and angles
4.4 Proportion and ratio
Tackle problems involving proportion
Deal with ratios
6.5 Three dimensional objects
Count faces, edges and vertices
Make shapes with nets
4.5 Negative numbers
Add and subtract negative numbers
4.6 More algebra Review section 2 algebra
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed Homework Typical question 1a) Write in a more simple form i) 5n + 3n + m ii) 8a + b - 3a + 2b b) Here is a formula involving p and n. p = 6n - 10 Find the value of p when n = 12
Ten week test Typical question A lorry uses an average of 124 litres of fuel per day. How much does the lorry use in 26 days?
Assessed Homework Typical question 1.Suppose you roll an ordinary dice with numbers 1, 2, 3, 4, 5, 6. Find the probability that you roll a) a 6 b) a number less than 3 c) a 7 2. Look at these numbers 4, 15, 7, 36, 21 a) Which number is a multiple of 5? b) Which number is a factor of 14? c) Which of the numbers are prime numbers? d) Which of the numbers are square numbers?
Ten week test Typical question
Ella and Conor are given £65 to share in the ratio 3:2 How much does each person get? b) £40 can be exchanged for 74 dollars. How many dollars can be exchanged for £160?
Assessed Homework Typical question A jar with 8 chocolates in it weighs 246g. The same jar with 13 chocolates in it weighs 306g. How much does the jar weigh on its own?
Ten week test Typical question 1.There are 11 players in a football team and there are 355 boys in a school. (a) How many teams of 11 can be formed? (b) How many boys will be left over? 2. The eleventh number in the sequence 1, 3, 9, 27 . . . . is 59049. (a) What is the tenth number in the sequence? (b) What is the thirteenth number in the sequence?
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 8 Higher
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Number Algebra Shape and Space Data Handling
1.1 Properties of numbers Prime numbers
Factors and multiples
Square numbers
Prime factor decomposition
Cube numbers and higher powers
3.1 Reflection Draw reflections on squared paper
Draw reflections using coordinates
Investigate reflections in other situations
5.1 Enlargement Recognise enlargements and their
properties
Draw enlargements of shapes
Use centre of enlargement
Solve problems with fractional scale
Factors
1.2 Fractions Equivalent fractions
Adding and subtracting fractions
Multiplying fractions
3.2 Describing data Mean, median, mode and range of a
set of data
Comparing sets of data
Finding averages from frequency tables
Stem and Leaf diagrams
5.2 Sequences and formulae
The nth term
Use mapping to find the nth term
Solve problems involving the nth term
1.3 Area and perimeter Rectangles, triangles, parallelograms and trapeziums
Solve a variety of mixed problem
3.3 Mental Calculations
Adding, subtracting and doubling numbers
Mental calculations in a range of contexts
Answer questions similar questions to mental SATS questions
5.3 Applying maths in a range of contexts 2
Solve problems in a wide range of
Contexts
1.4 Negative numbers Add and subtract negative numbers
Multiply and divide negative numbers
3.4 Using formulas and expressions
Substitute values into a range of
Formulas
Evaluate expressions of increasing
complexity
5.4 Pythagoras’ theorem
Calculate the length of a side in a right
angled triangle
Solve problems using Pythagoras’
Theorem 1.5 Sequences Find the next term of a
sequence
Find and use a rule for a sequence
Solve problems involving
3.5 Construction and locus
Construct triangles with ruler,
protractor and compasses
Draw and describe the locus of a point
5.5 Drawing and using graphs
Draw straight line graphs
Draw graphs using a computer/graphical calculator
sequences Draw constructions with ruler and
compasses only
Find equation of a straight line
Draw curved graphs
Use graphs in a real life context
1.6 Using a calculator Review the correct order of operations
Use the fraction and calculator buttons
Use the memory and raising to a power button
4.1 Bearings and scale drawing
Learn about bearings
Make scale drawings to solve problems
5.6 Using ratios Use and simplify ratios
Share quantities in a given ratio
Use ratio in a range of contexts
Solve problems using map scales
2.1 Written calculations Review paper and pencil calculations with whole numbers and decimals
4.2 Using a spread sheet on a computer
5.7 Congruent shapes and tessellation
Congruent shapes
Tessellation
2.2 Estimating and checking answers
Estimate the value of a calculation
Check answers to see if they are ‘about right’
Round numbers to one or two decimal places
4.3 Handling data Draw and interpret scatter graphs
Bar and pie charts
Use a computer to produce charts
6.1 More Algebra Solve equations involving fractions
Solve equations involving brackets
Solve word problems by forming
equations
Use algebra to explain connections
2.3 Geometrical reasoning Find angles using a wide range of angle properties
Prove results in geometry
4.4 Fractions, decimals and percentages
Write fractions, decimals and
percentages in different forms
Recurring decimals
Solve problems involving percentage
increase or decrease
6.2 Volume of objects
Volume of cuboid and other prisms
Volume of a cylinder
2.4 Using algebra Rules of algebra in expressions
Use algebra to solve problems
4.5 Interpreting and sketching real life graphs
Interpret a range of graphs
Sketch graphs from a real life context
6.3 Percentages 2
Review interchanging between
percentages, decimals and fractions
Increase and
decrease quantities by a
percentage 2.5 Applying maths in a
range of contexts 1 Solve problems in a range of contexts
4.6 Rotation and combined transformations
Rotating shapes
Centre of rotation
Combined transformations
6.4 Probability Probability of events not occurring
Expected number of times an event will
occur
Probability involving two events
Experimental probability
2.6 Circles
The circumference of a circle and
perimeters of other shapes
The area of a circle
4.7 Brackets and equations
Multiply brackets and simplify
expressions
Solve linear equations
Solve problems by forming equations
6.5 Statistical methods
Discuss a statistical problem, collect
relevant data and present the data in an effective way
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed homework Typical question a)Work out 3/5 of £40 b) Work out 3/4 -1/3
Ten week test Typical question Write down which one below is equal to π. a)The circumference of a circle divided by its radius. b)The diameter of a circle divided by its circumference. c)The circumference of a circle divided by its diameter.
Assessed homework Typical question The total mass of six people is 264 kg. Work out the mean mass of the people
Ten week test Typical question
a) Work out 50 – (80 ÷ 15) b) Work out 8 + 16 ÷ 2 – 1
Assessed homework Typical question On a holiday in Spain Susie exchanged £25 for 30 euros. How many euros could she get for £40?
Ten week test Typical question
Solve the questions to find n in each case. (a) 5n + 3 = 15 – 3n (b) 5(n – 2) = 3(n + 2)
Departmental Curriculum Planning 2014 – 2015 Department: Mathematics Subject: Mathematics Key Stage: 3 Year Group: 9 Higher
Module 1 Module 1 Module 2 Module 2 Module 3 Module 3
Programme of Study
Topic (s) studies
Key skills taught /
developed / assessed
1.1 Working with numbers Review paper and pencil calculations
Work with prime numbers, factors and multiples
Review the correct order of operations and inverse operations
Use a calculator effectively
Calculate with negative numbers
Practise long multiplication and division
3.1 Shape and space Find angles in a variety of shapes
Bearings
Pythagoras Review reflection, rotation, enlargement and translation
5.1 Trigonometry Finding an angle or a side in a right
angled triangle
Find the length of the hypotenuse
Use trigonometry to solve problems
based on real life situations
1.2 Using algebra Revise important rules of algebra, including brackets
Solve linear equations
Solve problems using algebra
Factorise expressions
3.2 Sequences – finding a rule
Nth term of a sequence
Quadratic sequences
5.2 Inequalities Write and display inequalities
Solve inequalities
Inequalities with two variables
1.3 Congruent shapes and construction
Congruent triangles
Constructions using a ruler and compasses
3.3 Rounding, estimating errors and bounds
Round off numbers
Estimate the answer to a calculation
Errors in measurement
Bounds of accuracy
5.3 Probability Experimental probability
Probability with one or two events
Exclusive events
1.4 Geometrical reasoning Review properties of quadrilaterals and triangles
Angles in a polygon
3.4 Drawing and visualising 3D shapes
Draw 3D objects using isometric paper
Draw different views of an object
Solve puzzles involving 3D objects
Planes of symmetry
5.4 Gradient of a line, y = mx + c
Gradient of a line
Find the y intercept
Questions with straight lines in the
form y = mx + c
Gradients of parallel and perpendicular
lines 1.5 Data handling Averages and
range of data
Calculate the mean of data presented in groups
Frequency polygons
3.5 Percentage change Percentage increase and decrease
Reverse percentages
Mixed questions involving percentages
5.5 Mathematical reasoning, proof
Use a range of mathematical processes
to solve problems and make predictions
Prove geometric and algebraic results
1.6 Multiplying brackets Multiply pairs of expressions in brackets
Solve problems using algebra
4.1 Transformations Use vectors to describe translations
Complete descriptions of given single
transformations
Questions involving successive
transformations
6.1 Drawing and using graphs
Practise drawing accurate straight line
graphs
Draw curved graphs
Solve difficult equations appropriately
using graphs
2.1 Using fractions Multiply, divide, add and subtract fractions
Solve problems involving fractions
Recurring decimals
Algebraic fractions
4.2 Reading and interpreting charts and graphs
Pie charts, bar charts and scatter
graphs
Interpret and draw line graphs and
sketch graphs Read and draw travel graphs
6.2 Compound measures
Solve problems involving speed,
distance and time
Solve problems involving density, rates
of exchange and various compound measures
2.2 Working with indices Multiplying and dividing using indices
4.3 Area and volume Review the use of formulae of simple
6.3 Locus Show the locus of a point
Geometric
Raise a number to a further power and the zero index
Solve equations involving indices
areas and volume
Learn how to find the radius of a circle
Solve a range of problems
construction to show the
locus of a point
Answer a range of questions, involving
three dimensions 2.3 Standard form Write numbers in
standard form
Solve problems involving numbers in standard form
Standard form on a calculator
4.4 Collecting and interpreting data
Collect data and questionnaires
Possible bias in data collection
Collect own data to answer questions
or solve a problem
6.4 Changing the subject of a formula
change the subject of a formula
2.4 Applying maths in a range of contexts 1
Solve problems by applying mathematical knowledge across a range of topics
4.5 Applying maths in a range of contexts 2
Solve a wide range of problems by
applying appropriate mathematical knowledge
6.5 Similar shapes
Recognise similar shapes
Solve a range of problems involving
similar shapes
2.5 Scatter graphs Draw and interpret scatter graphs
Draw and use a line of best fit
4.6 Simultaneous equations
Simultaneous equations with a graph
Solve simultaneous equations
algebraically
Solve problems using simultaneous equations
2.6 Trial and improvement Learn about trial and improvement
Solve equations and problems of increasing difficulty
Assessment Opportunities
Minimum of 2
assessment tasks per
10 week module
Assessed homework Typical question Write in index form (a) 3 x 3 x 3 x 3 x 3 (b) n x n x n (c) 8
3 x 8
7
Ten week test Typical question Simplify the following expressions (a) 4a x 5a (b) 4(x + 3) + 2 x (c) 9(t - 2) + 3(2t + 5)
Assessed homework Typical question Max and Sophie have bikes with different size wheels. The wheels on Max’s bike have a diameter of 55cm. Max rolls the bike forward so that the wheels turn round exactly once. (a) How far has Max moved ? The wheels on Sophie’s bike have a diameter of 62cm. Sophie rolls forward a distance of 1200cm. (b) Calculate how many times the wheels go around completely.
Ten week test Typical question
Solve the following simultaneous equations x+y=10 2x+3y=24
Assessed homework Typical question Make x the subject. (a) w + mx = t (b)a + hex= fx (c)kx= n + cx
Ten week test Typical question A right angled triangle has sides of length 5cm, 12cm and 13cm. Work out the size of the smallest angle in the triangle, giving your answer correct to one decimal