KS3

KS3 Mathematics

Year 1

Unit Title: Number and Algebra 1

In this unit, you should have learned:

• Recognise approximate proportions of a whole and use simple fractions and percentages to describe these (L5)
• Reduce a fraction to its simplest form by cancelling common factors (L5)
• Add and subtract fractions by writing them with a common denominator (L6)
• Multiply and divide fractions (L7)
• Understand the effects of multiplying and dividing by a number between 0 and 1 (L7)
• Calculate percentages (L5)
• Order decimals to 3dps (L5)
• Use equivalence between fractions, decimals and percentages (L6)
• Use known facts, place value, knowledge of operations and brackets to calculate including using all four operations with two decimal places (BODMAS) (L5)
• Begin to use formulae expressed in words (L4)
• Construct, express in symbolic form and use simple formulae involving one or two operations (L5)
• Use and interpret coordinates in all four quadrants (L5)

Unit Title: Shape and Space 1

In this unit, you should have learned:

• Use a range of properties of 2D and 3D shapes and recognise symmetries of 2D (L5)
• Be able to draw angles and know how to use the angles in a triangle and at a point (L5)
• Solve problems involving the conversion of units and be able to estimate (L5)
• Know the formula for the area of a rectangle (L5)
• Classify quadrilaterals by properties of their shape (L6)
• Deduce and use the formulae for the area of a triangle, parallelogram and volume of cuboids (L6)
• Understand and use alternate and corresponding angles in parallel lines (L6)
• Use LOGO (L6)
• Visualise 3D shapes using 2D representations (L6)

Unit Title: Number and Algebra 2 

In this unit, you should have learned:

• Use trial and improvement to solve equations (L6)
• Construct and solve linear equations (L6)
• Generate sequences using term to term definitions and find the nth term of a linear sequence (L6)
• Plot straight line graphs and understand y=mx+c (L6)
• Construct and understand graphs from real life situations (L6)

Unit Title: Shape and Space 2 

In this unit, you should have learned:

• Polygons, interior and exterior angles (L6)
• Use straight edge to do constructions (L6)
• Circles, including circumference and area (L6)

Unit Title: Probability 

In this unit, you should have learned: 

• Understand the probability scale runs from 0 to 1 (L5)
• Select methods based on equally likely outcomes or experimental evidence as appropriate (L5)
• Understand that experimental probability may produce different outcomes (L5)
• Record probabilities in a sensible way, including space diagrams (L6)
• Know that the sum of 2 mutually exclusive events is 1 (L6)

• Understand relative frequency as experimental probability and use it to compare outcomes of an event (L7)

Year 2

Unit Title: Handling Data 

In this unit, you should have learned:

• Plan how to and collect data (L5)
• Mean, mode, median and range (L5)
• Interpret graphs including pie charts (L5)
• Create and interpret line graphs (L5)
• Collect data and know how to record the collecting (L6)
• Use frequency diagrams (bar charts) for continuous and discrete data (L6)
• Use selected graphs to communicate results of investigations (L6)
• Have ability to analyse bias in simple cases (L7)
• Frequency polygons and scatter graphs (L7)
• Estimate the mean, mode and median of grouped frequency tables (L7)
• Compare two or more distributions and make inferences (L7)
• Examine critically the results of a statistical investigation (L7)

Unit Title: Number and Algebra 1 

In this unit, you should have learned:

• Percentage increase and decrease (L6)
• Divide a quantity into a certain ratio and solve problems involving direct proportion (L6)
• Reverse percentage changes (L6)
• Multipliers for calculations (L7)
• Understand the effects of multiplying and dividing by numbers between 0 and 1 (L7)
• Significant figures and approximation (L7)
• Know how to use a calculator for more complicated calculations (L7)
• Understand and use proportionality (L7)

Unit Title: Shape and Space 1 

In this unit, you should have learned:

• Simple Transformations (L5)
• Enlargements (not fractional), rotations, reflections and translations (L6)
• Add and subtract fractions by writing them with a common denominator (L6)
• Fractional scale factors (L7)
• Locus (L7) 

Unit Title: Number and Algebra 2 

In this unit, you should have learned:

• Multiply out 2 brackets (L7)
• Solve simultaneous equations (L7)
• Solve inequalities in 1 variable (L7)
• Derive, substitute in and rearrange simple formulae (L7)
• the nth term of a quadratic sequence (L7)
• Plot simple quadratic and cubic graphs (L7)

Unit Title: Shape and Space 2

In this unit, you should have learned:

• Understand and apply Pythagoras in 2D (L7)
• Calculate lengths, areas and volumes in planes shapes and prisms (L7)
• Upper and Lower Bounds (L7)
• Understand and use compound measures such as speed (L7)