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MATHEMATICS  Key Stage 3

Our MYP mathematics programme is tailored to the needs of students, seeking to intrigue and motivate them to want to learn its principles. Students see authentic examples of how mathematics is useful and relevant to their lives and are encouraged to apply it to new situations. Students are encouraged to use ICT tools to represent information, to explore and model situations, and to find solutions to various problems. These are skills that are useful in a wide range of arenas. MYP mathematics aims to equip all students with the knowledge, understanding and intellectual capabilities to address further courses in mathematics, as well as to prepare students who will use mathematics in their studies, workplaces and lives in general.

 

The Assessment Criteria in Mathematics are:

Criterion A

Knowing and understanding

 

Criterion B

Investigating patterns

 

Criterion C

Communicating

 

Criterion D

Applying mathematics in real-life contexts

 

 

Overview y7

Autumn Term

In more detail

Assessment

Number 1

LO: To be able to add, subtract, multiply and divide mentally and using written methods.

Mentally add and subtract

Written methods of addition/subtraction, including decimals

Written methods of multiplication/division, including decimals

Golden Rectangles

Criterion A: Knowing and understanding

 

Criterion D: Applying mathematics in real-life contexts

 

Co-ordinates

LO: To be able to read and plot co-ordinates.

Read and plot co-ordinates in the first quadrant

Read and plot co-ordinates in all 4 quadrants

Find co-ordinates of points to complete a given shape

 

Area and perimeter

LO: To be able to solve real-life problems involving area and perimeter.

Find the perimeter of 2D shapes

Know the formula for perimeter of a rectangle = 2L + 2W

Understand that area is counted in squares

Know the formula for area of a rectangle = L x W

A & P of compound shapes (made from rectangles)

Surface area of cubes and cuboids

 

Fractions decimals and %

LO: To use fractions, %, decimals and proportion to solve problems.

Understand decimal and percentage equivalents of simple fractions.

Compare simple proportions using fractions, decimals or percentages.

Find 1%, 5% 10%, 20% 50% of a quantity.

Use proportional reasoning to solve a problem.

Tuck Shop

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

 

Handling Data

LO: To solve a problem by collecting, collating, representing, extracting and interpreting data in tables, graphs, charts and diagrams.

Collect data and put into a tally chart

Draw pictograms, bar-charts, find the mode and range

Use pie-charts

Understand and use Venn diagrams

Understand and use Carroll diagrams

Find the mode, median, mean and range of a set of data

Make simple comparisons of 2 sets of data

 

Algebra 1

LO: To be able to solve real-life problems involving algebra.

Understand that we can represent a sequence in various ways, including algebra

Use algebra to describe the nth term of a sequence

Use index notation and simplify expressions with index notation

Use arithmetic operations with algebra and multiply out a bracket

Substitute integers into a simple expression and formula

Write a formula from given information

Plot and use a graph of a linear sequence

 

         

 

 

 

 

 

 

 

 

Spring term

In more detail

Assessment

3D shapes

LO: To understand and use the properties of 3D shapes to create models and draw representations.

Draw a net of a cube and make

Draw a net of a given cuboid (eg. 2x3x4) and make

Draw a net of a given prism and make

Draw a net of a given pyramid and make

Draw 2D representations of a 3D diagram made from cubes on isometric paper

Pyramids Growing

Criterion B: Investigating Patterns

 

Criterion C: Communicating

Transformations

LO: To be able to reflect, rotate and translate shapes.

Be able to reflect shapes in a mirror line

Be able to rotate a shape 90o and 180o

Be able to reflect a shape in 2 mirror lines

Be able to translate a shape

Use and write vectors to show translation

EXTENSIONS Be able to enlarge shapes

Algebra 2

LO: To be able to use graphs and algebra to solve real-life problems.

Understand that we can represent a sequence in various ways, including graphs and algebra

Generate sequences

Express simple functions in algebra

Understand how a linear rule is drawn as a graph

Recognise graphs parallel to the x and y-axis

Use algebra to describe the nth term of a sequence

Decimals

and BIDMAS

LO: To be able to solve real-life problems involving decimals.

Steps to success

Add/subtract integers and decimals

Multiply/divide integers and decimals

Solve real-life problems

Understand the order of operations (BIDMAS/BODMAS)

Use a calculator effectively to solve problems

Test-style assessment

Criterion A: Knowing and understanding

 

Criterion D: Applying mathematics in real-life contexts

 

Properties of number

LO: To understand and use properties of number.

Extend sequences

Know tests of divisibility

Find factors of a number

Find multiples of a number

Know and use square numbers

Know and use prime numbers

 

 

 

 

 

 

 

 

 

 

 

 

 

Summer term

In more detail

Assessment

Angles

LO: Be able to use angle facts to solve problems.

Name angles acute, right, obtuse, reflex

Estimate and measure angles

Calculate missing angles on a line, in a triangle and round a point

Rotate shapes by 90o

 

Criterion B: Investigating Patterns

 

Criterion C: Communicating

3D shapes

LO: Construct triangles and bisectors.

Measure angles to the nearest degree.

Draw lines to the nearest millimetre.

Construct triangles when given 2 angles and 1 side or s sides and 1 angle.

Construct triangles when given 3 sides.

Fractions

LO: To use fractions to solve problems.

Order fractions with the same denominator

Simplify fractions

Convert mixed numbers to improper fractions

Find a fraction of a whole

Add and subtract fractions

SATs-style assessment

Criterion A: Knowing and understanding

 

Criterion B: Investigating Patterns

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

Negative Numbers

LO: To be able to add/subtract negative numbers.

Add negative numbers

Subtract negative numbers

Solve real-life problems involving negative numbers

Probability

LO: To be able to find and justify the likelihood and probability of an event.

Know the chance or likelihood of an event

Use the correct vocabulary for probability

Understand the probability scale

Find the probability of an event occurring based on equally likely outcomes.

Identify all the possible mutually exclusive outcomes of an event.

Collect and record data to work out probabilities

 

 

 

Autumn

In detail

Assessment

Number 1

LO: To be able to add, subtract, multiply and divide mentally and using written methods.

Mentally add and subtract

Written methods of addition/subtraction, including decimals

Written methods of multiplication/division, including decimals

Bunting

Criterion A: Knowing and understanding

 

Criterion D: Applying mathematics in real-life contexts          

Area and Perimeter

LO: To solve ‘real-life area’ and perimeter problems.

Know method to find perimeter of any shape and use correct units.

Deduce perimeter of a regular shape/rectangle.

Find area by using area of rectangle = LXW

Understand and use area of triangle= ½ LW

Use area of rectangles and triangles to find the area of compound shapes

Fractions, decimals & %

LO: To use fractions, %, decimals and proportion to solve problems.

Understand decimal and percentage equivalents of simple fractions.

Find a percentage of a quantity.

Compare 2 quantities by percentage.

Solve problems involving percentage change.

Ratio and proportion

LO: To solve problems involving ratio and proportion.

Compare proportions using fractions, decimals or percentages.

Use proportional reasoning to solve a problem

Properties of 2D shape:  Tessellations

LO: To understand what properties a shape needs in order to tessellate.

Discover which 2D shapes tessellate

Create own intricate tessellation pattern

Properties of Number

LO: To understand and use properties of number.

Extend sequences

Know tests of divisibility

Find factors of a number including HCF

Find multiples of a number including LCM

Know and use square numbers

Know and use triangular numbers

Know and use prime numbers

Know and use index notation

Mathsville High School

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

Handling Data

LO: Solve a problem by collecting, collating, representing, extracting and interpreting data in tables, graphs, charts and diagrams.

Collect data and put into a tally chart

Draw pictograms, bar-charts, find the mode and range

Draw pie-charts

Draw and use scatter graphs

Understand and use Venn diagrams

Understand and use Carroll diagrams

Find the mode, median, mean and range of a set of data

Compare and draw conclusions from 2 sets of data

Begin to do the above for grouped data

Circles

LO: To understand circle relationships.

Discover the rule to get the circumference of a circle

Discover the rule to get the area of a circle

Use knowledge of hexagons and symmetry to create accurate snowflakes

Year 8 Overview

 

 

 

 

Spring

In detail

Assessment

Algebra 1

LO: To use algebra to solve ‘real-life’ problems.

Simplify by collecting like terms

Simplify by multiplying a single term over a bracket

Substitute integers into formulae

Solve equations

Generate sequences

Derive linear equations to describe the nth term

New York Holiday project

 

Criterion B:

Investigating patterns

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

Co-ordinates

LO: Be able to read and plot co-ordinates.

Read and plot co-ordinates in all 4 quadrants

Find co-ordinates of points to complete a given shape

Find mid-points of a line by drawing

Algebra 2

LO: To use algebra and graphs to solve real-life problems.

Plot the graph of linear functions where y is given in terms of x

Recognise that equations of the form y=mx+c correspond to straight line graphs

Interpret simple ‘real-life situation’ graphs

Construct linear functions arising from real situations and plot their graphs

Solve one-step, two-step and multi-step equations

Number 2

LO: To understand and use written and calculator methods of calculation.

Revise written methods of multiplication and division

Understand BIDMAS

Use a calculator effectively

Test-style assessment

Criterion A: Knowing and understanding

 

Criterion D: Applying mathematics in real-life contexts

Negative Number

LO: To be able to calculate with negative numbers.

Add negative numbers

Subtract negative numbers

Multiply/divide negative numbers

Solve real-life problems involving negative numbers

Probability

LO: To be able to find and justify the likelihood and probability of an event.

Use the correct vocabulary for probability

Understand the probability scale

Find the probability of an event occurring based on equally likely outcomes.

Identify all the possible mutually exclusive outcomes of an event.

Collect and record data to work out probabilities

Compare experimental and theoretical probabilities

Use probability diagrams (tree, space)

 

 

 

 

Summer

In detail

Assessment

Fractions

LO: To use fractions to solve problems.

Order fractions with a different denominator

Convert mixed numbers to improper fractions

Find a fraction of a whole

Add and subtract fractions

Multiply and divide fractions

Write answers in their simplest form

Criterion A: Knowing and understanding

 

Criterion B: Investigating Patterns

 

Transformations

LO: To be able to reflect, rotate and translate shapes.

Be able to reflect shapes in a mirror line

Be able to rotate a shape 90o and 180o

Be able to reflect a shape in 2 mirror lines

Be able to translate a shape

Use and write vectors to show translation

Transform a shape with different transformations

Be able to enlarge shapes

Angles

LO: To be able to use angle facts to solve problems.

Name angles acute, right, obtuse, reflex

Estimate and measure angles

Calculate missing angles on a line, in a triangle and round a point

Rotate shapes by 90o, 180o, 450

Calculate missing angles that are opposite, alternate, corresponding and justify

Construction

LO: Construct triangles and bisectors.

Measure angles to the nearest degree.

Draw lines to the nearest millimetre.

Construct triangles when given 2 angles and 1 side or s sides and 1 angle.

Construct triangles when given 3 sides.

Construct perpendicular bisector of line

Construct perpendicular bisector of angle

Construct the perpendicular from a point to a line

SATs-style assessment

Criterion A: Knowing and understanding

 

Criterion B: Investigating Patterns

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

Metric and Imperial units

LO: To use metric and imperial units accurately

Use read and write metric units

Understand relationship between them and convert

Know imperial units (mile, pint, gallon, lb, oz) and their metric equivalent

Rounding and indices (powers of 10)

LO: To be able to round & use decimals with powers of 10

Round to the nearest integer, to 1dp, 2dp

Multiply by positive powers of 10

Divide by positive powers of 10

Multiply by negative powers of 10

Divide by negative powers of 10

Round numbers to significant figures

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Autumn

In detail

Assessment

Number 1

LO: To be able to add, subtract, multiply and divide mentally, using written methods and a calculator.

Mentally add and subtract

Written methods of addition/subtraction, integers and decimals

Written methods of multiplication/division, integers and decimals

To use the order of operations and know methods to estimate

To use a calculator to solve problems

Line totals

Criterion A: Knowing and understanding

 

Criterion B: Investigating patterns        

Algebra 1

LO:  To use algebra to solve ‘real-life’ problems.

Simplify by collecting like terms

Represent mappings expressed algebraically

Use arithmetic operations with algebra

Simplify expressions with index notation

Multiply out a bracket

Factorise where there is one term over a bracket.

Solve 1- and 2-step equations

Generate sequences

Substitute integers into expressions

Multiply 2 brackets

Factorise where 2 brackets are needed

Solve equations with unknowns on both sides

Construct a formula from given information (find the nth term)

Properties of number

LO: To use properties of number to solve problems

Write numbers in PFF

Find the HCF of 2 numbers

Find the LCM of 2 numbers

Wallpaper design

 

Criterion B: Investigating Patterns

 

Criterion D: Applying mathematics in real-life contexts

Co-ordinates

LO: Be able to solve co-ordinate problems

Read and plot co-ordinates in all 4 quadrants

Find co-ordinates of points to complete a given shape

Find mid-points of a line by drawing

Find mid-points of a line by calculating (including decimal answers)

Transformations

LO: To reflect, rotate, translate and enlarge shapes.

Steps to Success

Be able to rotate a shape

Be able to reflect a shape in 2 mirror lines and a given equation of a line (eg. y+x)

Be able to translate a shape using vectors

Transform a shape with different transformations

Be able to enlarge shapes with negative and fractional amounts

Year 9 Overview

 

 

                                                                                                                              

Spring

In detail

Assessment

 

Algebra 2

LO:  To manipulate and solve algebraic equations.  

Be able to simplify expressions

Be able to re-arrange equations

Be able to substitute into formulae

Be able to solve linear equations

Be able to do the above for quadratic equations.

Mission to Mars

Criterion C: Communicating

 

Criterion  D: Applying mathematics in real-life contexts

Number

LO: To write and round numbers to a given method

Be able to round to d.p

Be able to round to significant figures

Be able to write number in standard form

Angles & Circle Theorems

LO: Calculate missing angles and state rule

Use correct vocab for lines, angles and shapes

Estimate and measure angles

Know angles round a point, on a line, in a triangle

Identify & calculate alternate & corresponding angles

Begin to recognise and use circle theorems

Construction

LO:  Construct triangles accurately from given information and using correct equipment.

Solve problems involving perpendicular bisectors of a line segment/angle.

Construct loci according to given instructions.

3D shapes

LO: Use geometric properties of prisms, pyramids and other 3D shapes.

Draw complex diagrams on isometric paper.

Draw different views (plans/elevations).

Pythagoras/Trig investigation

Criterion B: Investigating Patterns

 

Criterion D: Applying mathematics in real-life contexts

Pythagoras’ and Trigonometry

LO: To use ratios and Theorems relating to triangles to solve problems.

To draw and read accurate scale drawings to solve problems.

Steps to Success

Read and make scale drawings

Use 3-figure bearings

Use Pythagoras' Theorem to find unknown sides.

Use trigonometry to find unknown sides/angles in right-angled triangles

Probability

LO: Be able to find and justify the likelihood and probability of an event

Use the correct vocabulary for probability

Understand the probability scale

Find the probability of an event occurring based on equally likely outcomes.

Identify all the possible mutually exclusive outcomes of an event.

Collect and record data to work out probabilities

Compare experimental and theoretical probabilities

Use and choose appropriate diagrams (tree, space)

 

 

 

 

 

 

Summer

In detail

Assessment

 

Negative Numbers

LO: To be able to add/subtract negative numbers

Add/subtract with negative numbers

Multiply/divide with negative number

Use negative values in algebraic formulae

Solve complex real-life problems involving negative numbers

Mathsville High School 2

Criterion A: Knowing and understanding

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts           

 

Fractions

LO: To use fractions to solve problems

Convert mixed numbers to improper fractions

Find a fraction of a whole

Add and subtract fractions

Multiply and divide fractions

Put answers in their simplest form

Do above with algebraic fractions

 

Handling Data

LO: To solve a problem by collecting, collating, representing, extracting and interpreting data in tables, graphs, charts and diagrams.

Collect data and put into a tally chart

Draw pictograms, bar-charts, histograms

Draw pie-charts

Understand and use Venn diagrams

Understand and use Carroll diagrams

Draw and use scatter graphs

Find the range, mode, median and mean of a set of data

Compare 2 sets of data

Group data and find modal class, median interval and estimate of the mean

Begin to use and draw cumulative frequency graphs

Find Upper Quartile, Lower Quartile and Inter-Quartile Range

 

SATs-style assessment

Criterion A: Knowing and understanding

 

Criterion B: Investigating Patterns

 

Criterion C: Communicating

 

Criterion D: Applying mathematics in real-life contexts

 

Ratio and proportion

LO: Be able to solve ratio and proportion problems.

Be able to find 5x if given 1x

Write ratio with the correct notation

Use the unitary method to solve ratio problems

Find the value of xr if given yr

Solve inversely proportional problems

Solve complex ratio problems

 

Metric and Imperial

LO: Use metric and imperial units accurately

Use read and write metric units

Understand relationship between them and convert

Know imperial units (mile, pint, gallon, lb, oz) and their metric equivalent

 

 

 

 

 

 

 

 

 

 

MATHEMATICS Key Stage 4

An essential subject for all learners, Cambridge IGCSE Mathematics encourages the development of mathematical knowledge as a key life skill, and as a basis for more advanced study. The syllabus aims to build learners' confidence by helping them develop a feel for numbers, patterns and relationships, and places a strong emphasis on solving problems and presenting and interpreting results. Learners also gain an understanding of how to communicate and reason using mathematical concepts.

For more information on the Year 11 specification please follow this link:

http://www.cie.org.uk/images/128402-2015-syllabus.pdf

 

For more information on the Year 10 specification please follow this link:

http://qualifications.pearson.com/en/qualifications/edexcel-gcses/mathematics-2015.html