Boardworks KS4 Maths Contents

Boardworks KS4 Maths Contents Guide Boardworks KS4 Maths Contents Unit 1: Statistics and Probability Bar charts, line graphs and pie charts 36 slides...
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Boardworks KS4 Maths Contents Guide

Boardworks KS4 Maths Contents Unit 1: Statistics and Probability Bar charts, line graphs and pie charts 36 slides

Unit 1: Statistics and Probability

10 Flash activities 1 worksheet Interpreting bar charts, two-way tables, line graphs and pie charts.

Calculating averages 51 slides 9 Flash activities 1 worksheet Calculating mode, mean, median, range, including using frequency tables and analysing data.

Combined probability 31 slides 3 Flash activities 1 worksheet Combined events, the addition law, independent events and problems in context.

Continuous data 19 slides 5 Flash activities 1 worksheet Understanding continuous and discrete data, analysing data, choosing the right graph and grouping data.

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Boardworks KS4 Maths Contents Guide

Cumulative frequency and box plots 23 slides 4 Flash activities 1 worksheet Understanding cumulative frequency diagrams, interquartile range, box plots and analysing data.

Unit 1: Statistics and Probability

Data collection 22 slides 8 Flash activities 1 worksheet Understanding data types, types of numerical data, collecting data and data collection problems in context.

Drawing frequency diagrams 33 slides 8 Flash activities 1 worksheet Interpreting frequency diagrams, frequency polygons, histograms and calculating frequency density.

Experimental probability 18 slides 4 Flash activities 1 worksheet Calculating expected results, relative frequencies, experimental and theoretical probability and questions in context.

Probability 18 slides 7 Flash activities 1 worksheet Understanding the language of probability and calculating probability.

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Boardworks KS4 Maths Contents Guide

Sampling methods 26 slides 6 Flash activities 1 worksheet

Unit 1: Statistics and Probability

Understanding what a sample is, different sampling methods, evaluating sampling methods, random sampling and stratified sampling.

Stem-and-leaf and scatter graphs 35 slides 8 Flash activities 1 worksheet Understanding stem-and-leaf graphs and scatter graphs, and discussing cause and effect.

The data handling cycle 41 slides 14 Flash activities 1 worksheet Understanding the data handling cycle, specifying the problem and planning, collecting, processing, presenting, interpreting and analysing data and designing your own survey.

Tree diagrams 17 slides 2 Flash activities 1 worksheet Using tree diagrams, probability without replacement and problems in context.

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Boardworks KS4 Maths Contents Guide

Unit 2: Number and Algebra Advanced inequalities 18 slides 5 Flash activities 1 worksheet Inequalities in two variables, quadratic inequalities and problems in context.

Unit 2: Number and Algebra

Algebraic fractions 26 slides 7 Flash activities 1 worksheet Simplifying, adding, subtracting, multiplying and dividing algebraic fractions.

Decimal calculations 26 slides 4 Flash activities 1 worksheet Adding and subtracting decimals, using long and short multiplication and division, and working with decimals in real-life examples.

Decimals 29 slides 9 Flash activities 1 worksheet The decimal number system, terminating and recurring decimals, changing decimals to fractions, and rational and irrational numbers.

Factorizing 25 slides 8 Flash activities 1 worksheet Spotting common factors, factorizing by pairing and factorizing quadratics.

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Boardworks KS4 Maths Contents Guide

Formulae 26 slides 9 Flash activities 1 worksheet Generating formulae, substituting into formulae and formulae in action.

Fractions 28 slides

Unit 2: Number and Algebra

6 Flash activities 1 worksheet Understand equivalent fractions, comparing fractions, finding a fraction of an amount and working with fractions.

Functions 14 slides 3 Flash activities 1 worksheet Functions, function notation and solving functions by trial and improvement.

Generating sequences 27 slides 8 Flash activities 1 worksheet Term-to-term rules, position-to-term rules, linear sequences and problems in context.

Graphs of non-linear functions 37 slides 10 Flash activities 1 worksheet Using tables of values, understanding non-linear graphs, solving equations with graphs and transforming graphs.

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Boardworks KS4 Maths Contents Guide

Index laws 19 slides 4 Flash activities 1 worksheet Index notation, multiplying and dividing indices, using brackets and problems in context.

Index laws 2

Unit 2: Number and Algebra

16 slides 5 Flash activities 1 worksheet Understanding negative indices, reciprocals and fractional indices.

Integers 45 slides 15 Flash activities 1 worksheet Classifying numbers, positive and negative numbers, adding, subtracting, multiplying and dividing integers and number puzzles.

LCM and HCF 26 slides 9 Flash activities 1 worksheet Understanding lowest common multiples and highest common factors, finding the LCM and HCF, and problems in context.

Linear equations 32 slides 10 Flash activities 1 worksheet Basic linear equations, equations with brackets, functional coefficients, equations involving division and problems in context.

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Boardworks KS4 Maths Contents Guide

Linear graphs 34 slides 11 Flash activities 1 worksheet Understanding linear graphs, gradients, intercepts, parallel and perpendicular lines and problems in context.

Manipulating formulae

Unit 2: Number and Algebra

23 slides 4 Flash activities 1 worksheet Changing the subject of formulae, manipulating more difficult formulae and generating formulae from real-life problems.

More quadratics 8 slides 3 Flash activities 1 worksheet Equations involving algebraic fractions and real-life problems.

Multiples, factors and prime numbers 33 slides 10 Flash activities 1 worksheet Multiples, factors, prime numbers, prime factors and using prime factor decomposition.

Other sequences 17 slides 3 Flash activities 1 worksheet Geometric sequences, fraction sequences, the Fibonacci Sequence and geometric sequences in real-life.

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Boardworks KS4 Maths Contents Guide

Percentage changes 24 slides 7 Flash activities 1 worksheet Percentage increases and decreases, reverse percentages and compound percentages, including problems in context.

Percentages

Unit 2: Number and Algebra

39 slides 14 Flash activities 1 worksheet Calculating percentages, converting between percentages, decimals and fractions, real-life percentage problems and percentage changes.

Powers and proportion 26 slides 5 Flash activities 1 worksheet Proportion relationships, direct proportion to powers, inverse proportion to powers, graphs of proportional relationships and proportion problems in context.

Powers and roots 28 slides 10 Flash activities 1 worksheet Understanding square roots, cube roots and index laws.

Proportion 26 slides 10 Flash activities 1 worksheet Direct proportion, proportion, equations and formulae, inverse proportion and proportion problems in context.

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Boardworks KS4 Maths Contents Guide

Quadratic sequences 28 slides 6 Flash activities 1 worksheet Changing steps in a sequence, the nth term and problems in context.

Ratio

Unit 2: Number and Algebra

33 slides 10 Flash activities 1 worksheet Defining, simplifying and comparing ratios, dividing in a given ratio and working with ratio in real-life problems.

Real-life graphs 27 slides 8 Flash activities 1 worksheet Understanding real-life graphs, distance-time graphs, speed-time graphs and problems involving real-life graphs.

Rounding 24 slides 6 Flash activities 1 worksheet Understanding rounding, upper and lower bounds and problems in context.

Simple inequalities 41 slides 10 Flash activities 1 worksheet Understanding inequalities, inequalities on a number line, integer solution, solving linear inequalities, combined linear inequalities and inequalities and regions. 9

Boardworks KS4 Maths Contents Guide

Simultaneous equations 1 29 slides 6 Flash activities 1 worksheet An introduction to simultaneous equations, the elimination method, the substitution method and problems in context.

Unit 2: Number and Algebra

Simultaneous equations 2 16 slides 6 Flash activities 1 worksheet Linear and quadratic equations and more simultaneous equation problems in context.

Solving quadratics 31 slides 8 Flash activities 1 worksheet Solving by factorization, completing the square and using the quadratic formula.

Standard form 30 slides 6 Flash activities 1 worksheet Using large and small numbers, standard form, ordering numbers and standard form calculations.

Surds 23 slides 7 Flash activities 1 worksheet Multiplying, dividing, simplifying, adding and subtracting surds, including surd problems in context. 10

Boardworks KS4 Maths Contents Guide

Working with brackets 27 slides 8 Flash activities 1 worksheet Card tricks, expanding and simplifying expressions with brackets, rectangle areas, expanding two brackets, matching quadratic expressions, and squaring expressions.

Unit 2: Number and Algebra

Working with fractions 40 slides 12 Flash activities 1 worksheet Adding, subtracting, multiplying and dividing fractions, including fraction problems in context.

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Boardworks KS4 Maths Contents Guide

Unit 3: Geometry and Measures 3-D shapes 27 slides 4 Flash activities 1 worksheet

Unit 3: Geometry and Measures

Calculating the surface area and volume of 3-D shapes, including prisms, pyramids, cylinders, cones and spheres.

Applying Pythagoras’ Theorem 27 slides 5 Flash activities 1 worksheet Using Pythagoras’ Theorem to find lengths of diagonals, heights of triangles, the distance between two points and the longest diagonal in a cuboid, including problems in context.

Applying trigonometry 18 slides 5 Flash activities 1 worksheet Using trigonometry to find side lengths, angles and inverses in 2-D and 3-D shapes.

Area 20 slides 9 Flash activities 1 worksheet Understanding dimensions, area formulae and calculations, including problems in context.

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Boardworks KS4 Maths Contents Guide

Circle calculations 28 slides 6 Flash activities 1 worksheet Using pi, finding the radius, circumference and area of a circle, and calculating the length of an arc and the area of a sector.

Circles

Unit 3: Geometry and Measures

32 slides 15 Flash activities 1 worksheet Naming the parts of a circle, calculating angles in a semicircle, in the centre, in the same segment and in a cyclic quadrilateral and problems in context – the skater’s dance.

Congruence and similarity 22 slides 6 Flash activities 1 worksheet Congruent shapes, similar shapes, scale factors and problems in context.

Construction 22 slides 8 Flash activities 1 worksheet Constructing triangles, bisecting lines and angles and using construction to solve real-life problems.

Cubes and cuboids 21 slides 4 Flash activities 1 worksheet Calculating surface area, volume and lengths around the edges of cubes and cuboids.

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Boardworks KS4 Maths Contents Guide

Enlargement 27 slides 4 Flash activities 1 worksheet Enlargement, including finding the scale factor and the centre of enlargement.

Further trigonometry

Unit 3: Geometry and Measures

30 slides 11 Flash activities 1 worksheet Opposite and adjacent sides, calculating the sine, cosine and tangent of any angle, CAST and sine, cosine and tangent of 30°, 45° and 60°.

Lines and angles 27 slides 6 Flash activities 1 worksheet Understanding lines and angles, including problems in context.

Loci 21 slides 4 Flash activities 1 worksheet Describing loci, combining loci and imagining paths and regions using real-life situations.

Measures 23 slides 7 Flash activities 1 worksheet Converting units, using imperial units and continuous measurements.

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Boardworks KS4 Maths Contents Guide

More measures 34 slides 4 Flash activities 1 worksheet Calculations involving bounds, compound measures, converting compound units and using bearings.

Polygons

Unit 3: Geometry and Measures

21 slides 10 Flash activities 1 worksheet Characteristics of polygons and investigating the interior and exterior angles of a polygon.

Pythagoras’ Theorem 36 slides 9 Flash activities 1 worksheet Understanding Pythagoras’ Theorem, identifying right-angled triangles, Pythagorean triples, similar right-angled triangles, calculating the hypotenuse and calculating the shorter sides.

Symmetry and reflection 32 slides 12 Flash activities 1 worksheet Reflection and rotational symmetry in 2-D and 3-D shapes.

Translation and rotation 23 slides 8 Flash activities 1 worksheet Using translation, rotation, and combining transformations.

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Boardworks KS4 Maths Contents Guide

Triangles and quadrilaterals 16 slides 9 Flash activities 1 worksheet Investigating types of triangle, angles in a triangle and quadrilaterals.

Trigonometry

Unit 3: Geometry and Measures

30 slides 3 Flash activities 1 worksheet Right-angled triangles, the sine ratio, the cosine ratio, the tangent ratio and summary activities.

Trigonometry graphs and rules 31 slides 8 Flash activities 1 worksheet Graphs and transforming graphs, the area of a triangle, the sine rule, the cosine rule and using these rules.

Using vectors 18 slides 4 Flash activities 1 worksheet Vector calculations, the magnitude of a vector and using vectors to solve problems.

Vectors 38 slides 7 Flash activities 1 worksheet Understanding vectors, related vectors, zero and unit vectors, multiplying vectors by scalars, adding vectors, subtracting vectors and vector calculations.

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Boardworks KS4 Maths Contents Guide

Unit 4: Problem-solving Skills Statistics and Probability 1 24 slides 6 Flash activities 1 worksheet

Unit 4: Problem-solving Skills

Problems involving dot patterns, the ‘meanies’, and data from newspaper articles, includes exam practice.

Statistics and Probability 2 27 slides 7 Flash activities 1 worksheet Problems involving Who Wants To Be A Millionaire?, the Boardworks lottery, and the chances of being late for school, includes exam practice.

Number and Algebra 1 25 slides 11 Flash activities 1 worksheet Problems involving rising fuel costs, whether to rent or buy, the 2010 General Election and wages, includes exam practice.

Number and Algebra 2 26 slides 6 Flash activities 1 worksheet Problems involving mind reading tricks, consecutive numbers, number relationships and patio perimeters, includes exam practice.

Number and Algebra 3 33 slides 10 Flash activities 1 worksheet

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Boardworks KS4 Maths Contents Guide Problems involving powers, prime numbers, squaring and negatives in context, includes exam practice.

Number and Algebra 4 23 slides 4 Flash activities 1 worksheet

Unit 4: Problem-solving Skills

Problems involving interpreting real-life graphs, matching equations and graphs, currency and drawing graphs from equations, includes exam practice.

Geometry and Measures 1 23 slides 3 Flash activities 1 worksheet Problems involving soft play blocks, tessellation, boxes and garden design, includes exam practice.

Geometry and Measures 2 22 slides 3 Flash activities 1 worksheet Problems involving true and false questions, bagels and baps, Pythagoras patterns and pyramids, includes exam practice.

Geometry and Measures 3 17 slides 3 Flash activities 1 worksheet Problems involving related shapes and naming vectors, includes exam practice.

Geometry and Measures 4 23 slides 3 Flash activities 1 worksheet Problems involving units and designing a house, includes exam practice.

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