## Grade Descriptors

## Examples

## TERM 1

**Higher**

Estimation

Multiples and LCM

Factors and HCF

Write a number as a product of it’s prime factors

Use the laws of indices to multiply and divide numbers in index notation

Use the laws of indices for Powers of Powers

Fractional & Negative Powers

Convert large and small numbers into standard form

Add, subtract, multiply and divide numbers in standard form

Simplify surds

Rationalise the denominator and expanding brackets with surds

Writing formula

Substituting into expressions & Formulae with positive & negative numbers

Expand brackets and simplifying expressions for two sets of brackets

Factorise an expression

Expanding double brackets

Factorise a quadratic expression using difference of two squares

Factorise a quadratic expression in the form x^2 + bx + c

Equations with brackets

Equations with unknowns on both sides

Equations with fractions

Forming and solving equations

Substitute into kinematics formulae

Changing the subject of a formula

Changing the subject of more complicated formulae

Use trial and improvement to find solutions to equations

Find the nth term of a sequence

Using the nth term to generate sequences

Add, subtract, multiply and divide fractions

Add, subtract, multiply and divide mixed numbers

Find the Reciprocal of an integer, decimal or fraction

Convert between recurring decimals and fractions

Calculate percentage increase and decrease

Percentage profit or loss

Repeated percentage change (compound interest)

Reverse percentages

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

Divide a quantity by a ratio

Solve worded problems involving ratio

Solve proportion problems using the unitary method

Convert between currencies

All sets will be given an assessment every half term.

**Foundation**

Add, subtract, multiply & divide Negative Numbers

Multiply and divide by powers of 10

Bodmas

Round to a decimal place and significant figure

Estimation

Add and subtract decimals

Multiplying and dividing decimals

Squares, cubes and Roots

Multiples and LCM

Factors and MCF

Write a number as a product of it’s prime factors

Collecting like terms

Multiplying in algebra

Multiplying and dividing with indices

Expand brackets

Simplifying expressions with 2 sets of brackets

Factorising an expression

Writing formula

Substituting into expressions & Formulae with positive & negative numbers

Comparing two or more fractions

Fractions of amounts

Add and subtract fractions

Add and subtract mixed numbers

Multiplying fractions and mixed numbers

Dividing fractions and mixed numbers

Reciprocals

Convert between decimals and fractions

One quantity as a percentage of another

Calculate the percentage of an amount

Calculate percentage increase and decrease

Percentage profit or loss

Repeated percentage change (compound interest)

## TERM 2

**Higher**

Angle problems in triangles

Angle problems in quadrilaterals

Angles in parallel lines

Interior angles in polygons

Exterior angles in polygons

Use Pythagoras’ theorem to find the hypotenuse

Use Pythagoras’ theorem to find the shorter side

Calculating the length of a line segment

Finding lengths using trigonometry

Finding angles using trigonometry

Solving problems using trigonometry

3D Pythagoras and Trigonometry

Know exact vales of sin, cos & tan for 0, 30, 45, 60 and 90 degrees.

Distance-time graphs

Interpreting real-life graphs

Velocity-time graphs and area under graphs

Midpoints of a line segment

Gradient of a line segment

Interpreting and drawing graphs of the form y=mx+c

Explore gradients of parallel and perpendicular lines

Draw quadratic graphs

Real life use of quadratic graphs

Use a graph to solve quadratic equations

Graphs of cubic functions

Graphs of reciprocal functions

Sketch graphs of exponential functions

Represent a relationship as a fraction or ratio

Work out which product is the best buy

Convert between metric speed measures

Convert between density measures

Convert between pressure measures

Solve problems using the kinematics formulae

All sets will be given an assessment every half term.

**Foundation**

Find angles in straight lines and full turns

Lines of symmetry

Rotational symmetry

Angle problems in triangles

Angle problems in quadrilaterals

Angles in parallel lines

Interior angles in polygons

Exterior angles in polygons

Tessellation

Solve two step equations

Equations with brackets

Equations with unknowns on both sides

Equations with fractions

Rearranging Equations

Drawing Inequalities

Writing numbers which satisfy an inequality

Solving inequalities

Describing sequences

Picture sequences

nth term

Using the nth term

Quadratic sequences

Converting units

Find the perimeter of shapes

Find the perimeter of compound shapes

Find the area of rectangles, parallelograms and triangles

Find the area of a trapezium

Find the area of compound shapes

Find the surface area of a prism

Find the volume of a prism

Estimate surface area and volume by rounding

Converting between metric units of areas and volumes

## TERM 3

**Higher**

Find the area of rectangles, parallelograms, triangles & trapeziums

Find the perimeter and area of compound shapes

Find the surface area of a prism

Find the volume of a prism

Estimate surface area and volume by rounding

Converting between metric units of perimeter, area, surface area & volume

Find the circumference of a circle

Find the area of a circle

Find sector area and arc lengths

Find the volume and surface area of a cylinder

Find the volume and surface area of a pyramid

Calculate the volume and surface area of a cone

Calculate the volume and surface area of a sphere

Upper and Lower bounds

Calculate percentage error

Carry out and describe reflection

Carry out and describe translation

Carry out and describe rotation

Carry out and describe enlargement

Enlarge a shape using negative scale factor

Combined transformations

Drawing plans and elevations of a 3D object

Draw and measure bearings

Constructing triangles

Drawing polygons

Constructing the perpendicular at a point on a line

Constructing the perpendicular from a point to a line

Bisecting a line

Bisecting an angle

Loci

**Foundation**

Plotting coordinates in four quadrants

Midpoints of a line segment

Conversion graphs

Drawing Real Life Graphs

Interpreting Real Life graphs

Drawing Distance-time graphs

Drawing Velocity-time graphs

Drawing and labelling lines parallel to y and x axis

Drawing lines of the form y=mx+c

Carry out and describe rotation

Carry out and describe translation

Carry out and describe reflection

Carry out and describe enlargement

Combined transformations

Simplify a ratio to it’s lowest terms

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

Write a ratio as a fraction

Divide a quantity by a ratio

Solve worded problems involving ratio

Scale up recipes

Solve proportion problems using the unitary method

Work out which product is the best buy

Recognise when values are in direct and inverse proportion

Finding the hypotenuse of a right angled triangle

Finding the shorter side of a right angled triangle

Solving problems using Pythagoras’ theorem

Calculating the length of a line segment

Finding lengths using trigonometry

Finding angles using trigonometry

Solving problems using trigonometry

Know exact vales of sin, cos & tan for 0, 30, 45, 60 and 90 degrees.