departmental curriculum planning 2014...

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?


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


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


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


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.


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?


Find the value of each expression when d = 3 e = 4 f = –2 (a) d + e + f (b) d2 – e



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


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


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?


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


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


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


Minimum of 2


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


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 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?



Programme of Study

Topic (s) studies


1.1 Sequences Find the next term of 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


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



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


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


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


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



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


Minimum of 2


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


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?


Solve the questions to find n in each case. (a) 5n + 3 = 15 – 3n (b) 5(n – 2) = 3(n + 2)



Programme of Study

Topic (s) studies

Key skills taught /


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


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


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


Minimum of 2


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?


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


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


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


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


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


Equally likely outcomes

Expected probability

5.7 Rounding numbers Round numbers


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 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



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


4.6 More algebra Review section 2 algebra


Minimum of 2


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


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 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?



Programme of Study

Topic (s) studies


1.1 Properties of numbers Prime numbers


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


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


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


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


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


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 problems by forming equations

6.5 Statistical methods

Discuss a statistical problem, collect

relevant data and present the data in an effective way


Minimum of 2


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


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?


Solve the questions to find n in each case. (a) 5n + 3 = 15 – 3n (b) 5(n – 2) = 3(n + 2)



Programme of Study

Topic (s) studies

Key skills taught /


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


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 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


Solve problems by applying mathematical knowledge across a range of topics


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


Minimum of 2


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.


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

departmental curriculum planning 2014...

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