### Level Descriptors

Mathematics

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Level Descriptors

The following should give pupils and parents an idea of what pupils are required to be able to do or understand to achieve the various National Curriculum levels throughout Key Stage 3.

### Level 4

Number and Algebra

Describe number patterns

Find multiples

Find factors

Work out the square numbers

Use word formulae

Use co-ordinates in the first quadrant

Multiply and divide whole numbers by 10 and 100

Say my tables up to 10x10

Add and subtract numbers like 13.64 and 48.95

Write decimal numbers in the correct order

Shape, Space and Measures

Make 3D models

Draw 2D shapes

Find perimeters of shapes

Find the area by counting squares

Handling Data

Draw line graphs

Present data clearly

Draw frequency tables

Find the mode

Find the range

### Level 5

Number and Algebra

Multiply and divide whole numbers by 10, 100 and 1000

Put numbers in order including negative numbers

Add, subtract, multiply and divide numbers like 19.75 and 34.21

Simplify a fraction

Work out a fraction or percentage of a number

Multiply or divide a three digit number by a two digit number

Use inverse operations of approximation to check my answers

Use simple formulae like C = 2n + 4

Use co-ordinates in all four quadrants

Shape, Space and Measures

Measure and draw angles to the nearest degree

Remember the metric to imperial conversions

Use and understand the formula for the area of a rectangle

Handling Data

Find the mean of discrete data

Use the range and one of the averages to compare two sets of data

Say what diagrams and graphs show

Use the probability scale from 0 to 1

Understand that experiments don�t always have the same outcome

### Level 6

Number and Algebra

Use trial and improvement to solve things like x3 + 5x = 38

Work out one number as a fraction or percentage of another

Understand that fractions, decimals and percentages can be equivalent to each other (eg 0.5=50%)

Calculate using ratio

Add and subtract fractions with common denominators

Find and describe in words the rule for the next term in a sequence (linear)

Find and describe in words the rule for the nth term in a sequence

Solve linear equations with integer coefficients

Plot the graph of y = mx + c

Shape, Space and Measures

Recognise 2D representations of 3D objects

Classify quadrilaterals by knowing their properties

Find the missing angles when two parallel lines are intersected

Solve angle problems in polygons

Write instructions to make a computer draw a shape

Find the area and circumference of a circle

Find the volume of cuboids

Enlarge a shape by a positive scale factor

Handling Data

Work with continuous data

Construct pie charts

Say what a scatter diagram tells us

Understand correlation

Find all the possible outcomes of two experiments

Use the fact that the probability of mutually exclusive events add up to 1

### Level 7

Number and Algebra

Round to one significant figure

Understand what happens when we multiply or divide by numbers between 0 and 1

Multiply and divide numbers of any size

Understand proportional change

Describe in symbols the rule for the next term or nth term in a sequence (quadratic)

Multiply things like (a + b)(c + d)

Solve simultaneous, linear equations with two variables (using graphs or algebra)

Solve inequalities like 6(2n + 1)=18

Shape, Space and Measures

Understand and use Pythagoras� Theorem in 2D

Calculate lengths, areas and volumes in right prisms

Enlarge a shape by a fractional scale factor

Understand similarity

Draw the locus of a moving object

Find and understand upper and lower bounds

Use compound measures like speed, distance, time

Handling Data

Give and test a hypothesis to a situation

Understand bias

Find the modal class and an estimate to the mean, median and range when using grouped data

Compare distributions using frequency polygons

Draw a line of best fit on a scatter diagram

Understand relative frequency

### Level 8

Number and Algebra

Solve problems involving powers and roots

Solve problems involving standard form

Solve problems involving repeated proportional change

Substitute fractions and decimals into equations and expressions and find the answers

Calculate one variable in a formula when I know the others

Understand that a2 - b2 = (a + b)(a - b)

Solve inequalities in two variables

Sketch and interpret graphs of quadratic, cubic and reciprocal functions

Interpret graphs that model real life situations

Shape, Space and Measures

Use congruence and mathematical similarity

Use sine, cosine and tangent in right angled triangles in 2D

Distinguish between formulae for perimeter, area and volume by considering dimensions

Handling Data

Interpret and construct cumulative frequency diagrams

Estimate the median and interquartile range

Calculate the probability of a compound event