· web viewi can choose the most appropriate form of fractions, decimals and %s to use when...

$: · Web viewI can choose the most appropriate form of fractions, decimals and %s to use when making calculations mentally, in written form or using technology, then use my solutions$
Golspie High SchoolMaths Department

Level 4Assessment

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1. FRACTIONS/DECIMALS/%s I can choose the most appropriate form of fractions, decimals and %s to use when making calculations mentally, in written form or using technology, then use my solutions to make comparisons, decisions and choices. (MTH 4-07a)

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I can solve problems involving fractions and mixed numbers in context, using addition, subtraction or multiplication. (MTH 4-07b)

I can:1. Choose appropriately between working with

fractions, decimal fractions and percentages when solving problems or comparing values.

2. Find common percentages of a quantity mentally by using an equivalent fraction.

3. Calculate a percentage of a quantity with a calculator by using either an equivalent fraction or a decimal fraction.

4. Express and increase or a decrease as a percentage.

5. Add and subtract fractions (including mixed fractions).

6. Multiply and divide fractions(including mixed fractions).

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1. POWERS/ROOTS/SCIENTIFIC NOTATION I have developed my understanding of the relationship between powers and roots and can carry out calculations mentally or using technology to evaluate whole no powers and roots of any appropriate number. (MTH 4-06a)

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I can use scientific notation to express large or small numbers in a more efficient way and can understand and work with numbers written in this form. (MTH 4-06b)

I can:

1. Do calculations involving powers and roots mentally and calc.

2. Read and write numbers using scientific notation.

3. Express numbers written in scientific notation in other forms.

4. Use scientific notation in calculations using a calculator.

5. Recognise and use scientific notation in real applications.

6. Round to a number of significant figures.

7. Make real life calculations and choose the required degree of accuracy.

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2. DISTANCE, SPEED AND TIME

I can use the link between time, speed and distance to carry out related calculations.( MNU 4-10b)

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I can:-

1. Solve distance, speed and time problems using whole units of time.2. Solve DST problems involving half/ quarter hour times.3. To change hours and minutes into decimal times.

4. To convert decimal times into hours and minutes.

5. To solve DST problems using any units of time.

6. To interpret and do calculations using a DST graph.

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3. RATIO AND PROPORTION

Using proportion, I can calculate the change in one quantity caused by a change in a related quantity and solve real-life problems.(MNU 4-08a)

I can:

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1. Recognise when quantities are related in direct or inverse proportion. .

2. Use numerical methods to illustrate direct and inverse proportion.

3. Use graphical methods to illustrate direct and inverse proportion..

4. Solve real-life problems involving direct and inverse proportion.

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4. DATA COLLECTION, ANALYSIS, PROBABILITY I can evaluate and interpret raw and graphical data using a variety of methods, comment on relationships I observe within the data and communicate my findings to others. (MTH 4-20a)

In order to compare numerical into in real life contexts, I can find the mean, median, mode and range of sets of numbers, decide on which type of average is most appropriate to use and discuss how using an alternative type of average could be misleading (MTH 4-20b)

I can select appropriately from a wide range of tables, charts diagrams and graphs when displaying discrete, continuous or grouped data, clearly communicating the significant features of the data. (MTH 4-21a)

By applying my understanding of probability, I can determine how many times I expect an event to happen, and use this info to make predictions, risk assessment, informed choices and decisions. (MTH 4-22a).

I can:

1. Understand Dot Plots and work out range, medians and comment on features.

2. Draw and understand Stem and Leaf Diagrams.3. Describe correlations in a Scatter plot4. Find the mean, median, mode and range from a

frequency table.

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5. Find the average from graphs, charts and diagrams.6. Find the probability of an event occurring7. Use probability in real life problems.

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5. SURFACE AREA

Through investigating real life problems involving the surface area of simple 3D shapes, I can explore ways to make the most efficient use of materials and carry out the necessary calculations to solve related problems (MTH 4-11b)

I can:

4. Find the S.A of a cube

2. Find the S.A. of a cuboid.

3. Calculate the area of the net of a 3D object.

4. Solve real life problems involving surface area & nets of three dimensional shapes (eg MINION PROBLEM (Purple Paint!))

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5. VOLUMES

I have explored with other the practicalities of the use of 3D objects in everyday life and can solve problems involving the volume of a prism, using the formula to make related calculations when required. (MTH 4-11c)

I can:1. Recognise different types of prism. 2. Use formulae to calculate the volume and surface

area of different prisms.3. Use formulae to calculate the volume of a cylinder.

4. Use formulae to calculate the S.A. of a cylinder.

5. Investigate the most efficient use of materials for packaging containers.

6. Work with others to investigate real life problems related to prisms and share ideas and explain decisions (eg bananas in the Minion investigation.

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6. ALGEBRA:BRACKETS,EXPRESSIONS,EVALUATE I have investigated how introducing brackets to an expression can change the emphasis and can demonstrate my understanding by using BIMDAS when carrying out calculations. (MTH 4-03b)

Having explored the distributive law in practical contexts, I can simplify, multiply and evaluate simple algebraic terms involving a bracket. (MTH 4-14a)

I can find the factors of algebraic terms, use my understanding to identify common factors and apply this to factorise expressions (MTH 4-14b)

I can:

1. Use BIMDAS when carrying out calculations2. Understand the position of brackets in a calculation

affects the order of operations3. Multiply out and expand expressions with brackets4. Simplify expressions with variables and evaluate by

substitution.5. Find the factors and the HCF of algebraic

expressions6. Factorise simple algebraic expressions (common

factor)

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7. THE CIRCLE

Having investigated the relationships between the radius, diameter, circumference and area of a circle, I can apply my knowledge to solve related problems. (MTH 4-16b)

I can:1. Find the circumference of a circle

2. Find the area of a circle.

3. Find the diameter of a circle given the Circumference

4. Find the radius of a circle given the Area.

5. Apply my knowledge to solve related circle problems

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8. NUMBER SEQUENCES ALGEBRAIC FORMULAE

Having explored how real-life situations can be modelled by number patterns, I can establish a number sequence to represent a physical or pictorial pattern, determine a general formula to describe the sequence, then use it to make evaluations and solve related problems.(MTH 4-13a)

I can:

1. Understand how sequences and patterns occur naturally in real life.

2. Extend a sequence and explain how it is formed.3. Recognise well-known number sequences.4. Recognise patterns in pictorial and table form.5. Find a general rule for a pattern.6. Apply rules about patterns and sequences to

problems.

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9.GRADIENT

I have discussed ways to describe the slope of a line, can interpret the definition of gradient and can use it to make relevant calculations, interpreting my answer for the context of the problem.(MTH 4-13b)

I can:

1. Calculate and use gradients in real-life situations.2. Compare gradients.3. Calculate gradients using a coordinate grid.4. Describe the gradients of horizontal.,vertical and

parallel line.

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10. ROTATIONAL SYMMETRY

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Having investigated patterns in the environment, I can use appropriate mathematical vocabulary to discuss the rotational properties of shapes, pictures and patterns and can apply my understanding when completing or creating designs.(MTH 4-19a)

I can:

1. Decide if a 2D shape has rotational symmetry. 2. Find the order of rotational symmetry.3. Create shapes with half-turn symmetry.4. Create shapes with quarter-turn symmetry.

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11.ALGEBRA SOLVING EQUATIONS Having discussed the benefits of using maths to model real life situations, I can

construct and solve inequalities and an extended range of equations (MTH 4-15a)

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1. Use symbols to express inequalities from word situations.

2. Solve a range of equations using balance method clearly showing steps involved. 3. Solve inequalities clearly showing steps invlolved4. Model and solve real life problems by creating equations and inequalities.

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12.THE STRAIGHT LINE

Having investigated the pattern of the coordinate points lying on a horizontal or vertical line, I can describe the pattern using a simple equation.(MTH 4-13c)

I can use a given formula to generate points lying on a straight line, plot them to create a graphical representation then use this to answer related questions.(MTH 4-13d)

I can:

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1. Find the equation of a horizontal and a vertical line.2. Draw a line of the form y = mx.3. Draw a line of the form y = mx + c.4. Solve real-life problems.

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13. ALGEBRA CHANGE THE SUBJECT

Using the rules of algebra I can re arrange simple formulae to change the subject depending on what I need.

I can:

1. Use the rules of algebra and know the opposite operations to undo + - x and divide.

2. Apply the rules to rearrange e.g. c = d + f to [d]

3. Apply the rules to re arrange h = v / n to [n]4. Apply the rules to re arrange E = 3w-k to

[w]

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14. PYTHAGORASI have explored the relationship between the sides, or sides and angles, in right angled triangles and can select and use an appropriate strategy to solve related problems, interpreting my answer for the context. (MTH 4-16a)

I can:1 Find the length of hypotenuse in a right angled

triangle.

2 Find the length of one of the shorter sides.

3 Use Pythagoras to solve real life problems.

4 Find the distance between 2 coordinates using Pythagoras

5 Use the Converse of Pythagoras Theorem to decide whether a triangle is right angled or not.

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15 TRIGONOMETRYI have explored the relationship between the sides, or sides and angles, in right angled triangles (R.A.T.) and can select and use an appropriate strategy to solve related problems, interpreting my answer for the context. (MTH 4-16a)

I can:

1 Find the Hyp, Opp and Adj side of a R.A.T.2 Use SOHCAHTOA to find the length

of side of a R.A.T.3 Use SOHCAHTOA to find the size of an angle in a

R.A.T.4 Solve real life problems involving Trigonometry

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16. SCATTERGRAPHS

I can select appropriately from a wide range of tables, charts diagrams and graphs when displaying discrete, continuous or grouped data, clearly communicating the significant features of the data. (MTH 4-21a)

I can:

1. Generate data to create a scattergraph2. Create a scattergraph and draw a line of

best fit3. Describe the correlation of the data + - or 04. Use the line of best fit to predict missing

values

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17. ANGLE PROPERTIESI have investigated the relationship between a radius and a tangent and explored the size of the angle in a semi-circle. I can use the facts I have established to solve related problems (MTH 4-17a).

I can:1 Identify a tangent to a circle

2 Solve problems involving tangents and radii

3 Solve problems involving angles in a semicircle

4 Use Pythagoras within circles

5 Use Trigonometry in circles.

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18. SIMILARITYI can apply my understanding of the properties of similar figures to

solve problems involving length and area. (MTH 4-17b)

I can:1. Understand and use the terms congruent and

similar

2. Identify similar shapes

3. Calculate and use Scale Factors

4. Calculate the area of similar shoes using linear scale factors

5. Calculate the volume of similar shapes using linear scale factors

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PROBLEM SOLVING

I can carry out the necessary calculations to solve problems set in unfamiliar contexts ( having recognised similarities between new problems and problems I have solved before). (MTH 4-03b)

I can:

1. Solve real-life problems using a range of calculations, dealing with whole numbers, fractions, decimals and percentages.

2. Understand that different methods can lead to the same answer and help you to choose a method to suit the situation presented.

3. Use calculators efficiently.

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TIME MANAGEMENT

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I can research, compare and contrast aspects of time and time management as they impact on me.(MTH 4-10a)

I can:

1. Understand why time management is important in daily life.

2. Recognise and discuss issues which have an effect on personal time management.

3. Understand the need to be realistic about what can be done in a set time.

4. Create your own schedule for personal activities.5. Read and use time information given in different

forms on paper and electronically.6. Plan for future events and justify the timetables you

create.

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TOLERANCE

I can use my knowledge of tolerance when choosing the required degree of accuracy to make real life calculations (MNU 4-03a)

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I can apply my knowledge and understanding of measure to everyday problems and tasks and appreciate the practical importance of accuracy when making calculations.(MNU 4-11a)

I can:

1. Recognise that different degrees of accuracy are acceptable in different situations.

2. Understand that initial rounding has to be taken into account in practical calculations.

3. Express required accuracy using tolerance notation.4. Use suitable units in calculation using real objects.

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Applications in the Workplace

I have discussed the importance of mathematics in the real world, investigated the mathematical skills required for different career paths and delivered with others a presentation on how mathematics can be applied in the workplace.(MTH 4-12a)

I can:

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7. Work collaboratively with others to produce a presentation on the relevance of maths in the workplace.

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TRANSFORMATIONS

I can apply my understanding of the 4-quadrant coordinate system to move and describe the transformation of a point or shape on a grid.(MTH 4-18b)

I can:

1. Reflect, translate or enlarge a 2D shape and find the coordinates of its image.

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2. Understand what properties of a shape change or stay the same after a transformation.

3. Combine different transformations on a point or shape.

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MONEY MATTERSI can discuss and illustrate the facts I need to consider when determining what I can afford, in order to manage credit and debt and lead a responsible lifestyle (MTH 4-09a)

I can source information on earning and deductions and use it when making calculations to determine net income (MTH 4-09b)

I can research, compare and contrast a range of personal finance products and, after making calculations, explain my preferred choices. (MTH 4-09c)

I can:1 Use and understand the vocabulary associated with

finance (eg debt, creditors, deposit, APR)2 Understand the advantages and disadvantages of

credit cards3 Calculate costs associated with using credit cards.4 Read basic information from a payslip5 Calculate gross pay, deductions and net pay

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6 Calculate income tax using tax bands and personal allowance7 Calculate the amount of money lost or gained when given a % and a duration of time.8 Choose a financial product by looking at the individual benefits and the product that

is most appropriate for the situation

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