Key Stage 3

SCHEME OF WORK :  YEAR 7

Autumn 1
Autumn 2
Unit 1 : Number
Mental addition, subtraction, multiplication and division.
Formal methods for addition, subtraction, multiplication and division
Negative Numbers
Rounding and estimation
Order of operations
Multiples, factors, highest common factors and lowest common multiples
Powers and roots
Place value calculations
Problem solving
Unit 3 : Fractions
Fractions of an amount
Addition, subtraction, multiplication and division of fractions
Addition, subtraction, multiplication and subtraction of mixed numbers
Changing between fractions and decimals
Unit 2 : Algebra
Simplifying expressions
Writing algebraic expressions
Expanding a single bracket
Factorising into a single bracket
Substitution into expressions
Unit 4 : Equations
Solving linear equations
Solving linear equations that contain brackets
Solving linear equations that contain an unknown on both sides
Solving problems by constructing an equation
Formulae
Year 7 Exams in Maths
Unit 5 : Time
Changing between 12 and 24 hour clock
Calculating the length of time that has elapsed
Calculating the new time after a period of time has elapsed
 

Spring  1

Spring  2

Unit 6: Angles

Identifying acute, obtuse and reflex angles

Using a protractor

Calculating angles including straight lines, around a point, triangles, quadrilaterals and vertically opposite angles

Calculating angles on parallel lines

 

Unit 8 : Statistics

Pictograms

Bar charts

Pie charts

Stem and leaf diagrams

Averages and range

Unit 7 : Percentages

Calculating percentages with and without a calculator

Finding the new amount after a percentage increase / decrease

Writing one quantity as a percentage of another quantity

Percentage profit / loss

Changing between fractions, decimals and percentages

Ordering fractions, decimals and percentages

Unit 9 : Graphs

Coordinates

Midpoints

Lines parallel to an axis

Drawing straight line graphs

 

Unit 10 : Constructions

Constructing triangles and nets

Summer  1

Summer  2

Unit 11 : Perimeter and area

Perimeter

Area of rectangles, squares, triangles, parallelograms, trapeziums

Area and perimeter of composite shapes

Circumference and area of a circle

Algebraic perimeter

Changing between metric units

Year 7 Exams in Maths

Unit 12 : Ratio and proportion

Using ratio notation

Simplifying ratios

Dividing in a given ratio

Solving problems with ratio

Solving problems involving direct and inverse proportion

Unitary method

Conversion graphs

Unit 13 : Sequences

Continuing sequences

Describing sequences

Writing a sequence from the nth term

Finding the nth term of a linear sequence

Picture sequences

Special sequences

 

Unit 14 : Volume

Naming solids

Finding the volume of cubes, cuboids and prisms

Surface area of cubes and cuboids

 

Unit 15 : Probability

Use a probability scale

Writing the probability

Sample space diagrams

Venn diagrams

YEAR 8

Autumn 1

Autumn 2

Unit 1 : Number

Mental and written methods for addition, subtraction, multiplication and division

Decimal x decimal

Dividing by a decimal

Order of operations

Place value calculations

Negative numbers

Rounding including decimal places and significant figures

Error intervals for numbers rounded to the nearest 10, 100 or 1000

Estimation

Standard form

Unit 3 : Angles

Using a protractor

Calculating angles including straight lines, around a point, triangles, quadrilaterals and vertically opposite angles

Angles on parallel lines

Bearings

Scale drawings

Calculating interior and exterior angles for polygons

Solving problems involving angles

Constructing triangles and nets

Unit 2 : Expressions and equations

Simplifying expressions

Rules of indices

Expanding single and double brackets

Factorisation into a single bracket

Factorisation of a quadratic

Substitution

Solving linear equations including brackets and an unknown on both sides

Solving linear equations that contain fractions

Solving linear inequalities

Representing an inequality on a number line

Solving quadratic equations by factorisation

Formulae

Unit 4 : Fractions

Ordering fractions

Addition, subtraction, multiplication and division of fractions and mixed numbers

Fraction of an amount

Negative fractions

Factions with BIDMAS

Fractions with powers and roots

Changing between fractions and roots

 

Unit 5 : Statistics

Pictograms

Bar charts

Pie charts

Stem and leaf diagrams

Scatter graphs

Averages and range including frequency tables

Mean range and modal class from a grouped frequency table

 

Spring 1

Spring 2

Unit 6 : Graphs

Coordinates

Midpoints

Drawing straight line graphs

Finding the gradient of a line

Drawing simple quadratic graphs

Finding the equation of a parallel line

Unit 9 : Percentages

Calculating a percentage of an amount

Finding the new amount after a percentage increase / decrease

Simple interest

Multipliers

Writing one quantity as a percentage of another quantity

Changing between fractions, decimals and percentages

Unit 7 : Time

Working out the new time after a period of time has elapsed

Working out how long has elapsed

Timetables

Units of time

Distance time graphs

 

Unit 10 : Symmetry and transformations

Line symmetry

Rotational symmetry

Reflections

Rotations

Translations

Enlargements

Describing transformations

Unit 8 : Probability

Probability scales

Writing probabilities

Exhaustive events

Sample space diagrams

Two way tables

Frequency tree diagrams

Venn diagrams

To find the probability for union and intersection

Expectation

Bias

 

Summer 1

Summer 2

Unit 11 : Ratio and proportion

Simplifying ratios

Writing a ratio in the form 1 : n or n : 1

Dividing in a given ratio

Solving problems with ratio

Combining ratios

Direct and inverse proportion

Unitary method

Conversion graphs

Currency

Best buys

Unit 14 : Powers and types of number

Square numbers

Cube numbers

Multiples, factors, lowest common multiples and highest common factors

Prime numbers

Expressing a number as a product of its prime factors

Calculating with powers of 1, 0 and -1

Roots and cube roots

Simplifying a calculation involving powers

Unit 12 : Sequences

Picture sequences

Special types of sequence

Using the nth term

Finding the nth term of a linear sequence

Using the nth term of a quadratic sequence

Continuing an algebraic sequence

Fibonacci style sequences

Year 8 Exams in Maths

Unit 13: Pythagoras

Finding the hypotenuse

Finding a shorter side 3,4,5  and 5, 12, 13 triangles

Deciding if a triangle is right angled

Unit 15 : Perimeter, area and volume

Calculating perimeter

Calculating the area of squares, rectangles, triangles, parallelograms, trapeziums and composite shapes

Circumference and area of a circle

Calculating the area and perimeter of semi circles and a quarter of a circle

Volume of cubes, cuboids and prisms

Plans and elevations

Surface area

Algebraic perimeter and area

Problem solving with perimeter, area and volume