Maths Key Stage 3 Scheme of Work Number and measures Place value Calculations Calculator Measures
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1 Maths Key Stage 3 Scheme of Work 2014 Year Autumn Spring Summer 7 Number Integers, order positive and negative numbers Low: Use the 4 operations, starting with addition and subtraction, positive numbers High: introduce negative numbers and simple calculations Algebra Sequences and functions Simple sequences generate rule for nth term. High: find the nth term, predicting next term in a range of sequences. Number and measures Calculator Low: measure accurately using a ruler High: convert measurements eg mm,cm, m, km Algebra Equations Low: find the missing number, use symbols or shapes rather than letters. High: find the missing number, introduce a letter to represent an unknown. Low: reflection using mirrors and simple symmetry High: rotations using overlay and more complex shapes. Handling Data Handling data Low: rank events in order of possibility on a probability line. High: probability notation, probability of an event occurring. Recognise probabilities add up to 1. Use coins and dice to predict outcomes of events. Number
2 Perimeter and area Low: Perimeter of simple shapes Mid: Area of rectangles High: perimeter and area of compound shapes. Number Handling Data Graphs Collecting and tabulating data Low: tally charts and pictograms High: calculations involving data, answer questions using graphs/tables Construction Calculator calculators, low: check answers to simple calculations and mark own work. Introduce + - / x depending on ability. Algebra Low: Recognise simple fractions using pictures and recognise simple decimals and percentages (50%, 25%) High: work interchangeably with decimals and their corresponding fractions adding fractions, common denominators. Low: Measure accurately in cm and mm, measure angles. Recognise and draw common 2D shapes. High: draw angles correct to 2 degrees. Recognise 2D and 3D shapes. Number Construction
3 8 Number /Algebra 1 Integers, powers, roots Prime numbers Low: focus on integers, simple sequences odd and even, predict subsequent terms. Divide numbers by 10/100/1000 High: more difficult sequences and predicting previous or subsequent terms. Introduce square numbers and roots. Algebra 2 Number and measures 3 Calculator methods Algebra 3 Integers, powers, roots Algebra 4 Graphs Low: find the missing number, use symbols or shapes rather than letters. High: find the missing number, introduce letters and collecting like 4 Low: Measure accurately in cm and mm, measure angles. Recognise and draw common 2D shapes. Recognise right angles, acute and obtuse. Symmetry, reflection and rotation. High: draw angles correct to 2 degrees. Recognise 2D and 3D shapes. Calculate missing angle in a triange or quadrilateral. Introduce angles on a straight line = 180. Symmetry, reflection, rotation, enlargements.
4 Construction Number 2 Low: adding fractions High: introduce improper fractions and calculation, common denominators, mixed fractions. Common factors to cancel and simplify fractions to lowest terms. 2 Volume Area Low: Perimeter and area of terms. Simple algebra rules such as 3 x n = 3n etc Handling Data 2 Collecting and tabulating data Low: tally charts, pictograms, simple bar charts. High: bar charts and frequency diagrams, simple scatter diagrams, positive and negative correlation, line of best fit. 3 Low: recognise parallel lines, acute, obtuse and right angles High: knowledge of perpendicular lines, acute, obtuse, right angles, angles around a point = 360 Handling Data 3 Handling data Number 4 Use time, speed, length and area in calculations. Pupils should be able to use brackets. Low: common factors High: HCF, LCM, improper fractions Algebra 5 Solving Problems
5 simple shapes Draw lines to the nearest mm. Introduce nets. High: perimeter and area of compound shapes split shapes up then total, multi-step problems. Introduce nets, calculate surface area. Handling Data Low: rank events in order of possibility on a probability line from 0 to 1. High: probability notation, probability of an event occurring. Recognise probabilities add up to 1. Identify mutually exclusive outcomes. Use of coins and dice to predict outcomes of events 9 Number/ Algebra 2 Proportional Reasoning including: Number 2 4
6 Graphs. Low: adding fractions High: Multiplying fractions, cancelling fractions to their lowest terms. Algebra 2 Use of calculator to calculate circumference and area of a circle. High: area of semicircle. Introduce language of circles, recognise radius and diameter Calculator methods Rounding numbers low: whole numbers, high: rounding decimals and estimating answers to calculations using rounding. calculators, low: check answers to simple calculations and mark own work. Introduce + - / x depending on ability. Use brackets. Handling Data 2 Algebra 4 Integers, powers, roots Low: measure angles and lines accurately. Know the sum of angles in a triangle and angles in a quadrilateral. High: perimeter calculations involving missing length or missing angles in triangle introduce triangle rules Low: symmetry and rotation High: enlargement and scale factors Handling Data 3 Handling data Low: calculate range. Pie charts, bar charts. High: knowledge of mean, mode, median Number 4
7 Algebra 3 Equations, formulae and identities. Handling Data 1 Handling Data Sequences, functions and graphs and graphs from real life situations. Distance time graphs, speed graphs. Low: Construct graphs of real situations when given data. High: Draw conclusions and answer questions relating to graphs Handling Data 2 Collecting and tabulating data Low: Focus on calculations involving 4 main operations High: introduce square numbers, cubed numbers, square roots, prime numbers. Low: ratio involving sharing parts of a whole. High: ratio calculations, simplifying ratios and calculating missing amounts, 2 Coordinates Volume Area Low: plotting co-ordinates on positive axis only High: plotting co-ordinates in all four quadrants. Algebra 5 Graphs Low: simplify expressions collect like terms. Solve simple one step equation. High: factorise expressions using common factors. Substitute integers into simple
8 Low: Consolidate learning with perimeter and area calculations High: Volume of a cuboid, area of a triangle. High: measurements involving conversions between metric units using multiplication and division. 3 Low: Measure angles, know that angles in a triangle = 180. Use a protractor to draw acute and obtuse angles. Construct accurate shapes. High: calculate the missing angle, use quadrilaterals and triangles. forumulas Handling Data 4 Low: consolidate learning of simple fractions and percentages eg 25% and 50%. Use these when working with probability High: trees and calculations. Solving Problems Number, algebra,
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