# KS3

The following will help give students and parents an idea of what students are required to be able to do or understand to achieve the various target scores throughout Key Stage 3.

### Point Score 10-19

**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
- Check my own answers

**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
- Read simple pie charts
- Draw frequency tables
- Find the mode
- Find the range

### Point Score 20-29

**Number and Algebra**

- Multiply and divide whole numbers by 10, 100 and 1000
- Add and subtract negative numbers
- 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

### Point Score 30-39

**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

### Point Score 40-54

**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)
- Simplify quadratic expressions
- 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

### Point Score 55-69

**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