What does the course cover? The Programme of Study and curriculum links

The Wolsey Hall Year 9 Maths course follows the National Curriculum for England at Key Stage 3 and the Lower Secondary Maths course as a whole (Years 7-9) meets all the requirements of the Cambridge Lower Secondary Curriculum.

We have ensured that all of the National Curriculum outcomes are covered in the course and the table below provides an overview of how the Wolsey Hall course can be mapped to the Mastering Mathematics Book 3 coursebook and to the National Curriculum for England and the Cambridge Lower Secondary Maths curriculum. 

Note The Lower Secondary Maths course as a whole (Years 7-9) meets all the requirements of the Cambridge Lower Secondary Curriculum.

You may want to print out this overview of the course Download overview of the course and refer to it as you progress through the course. Do also bear in mind that:

  • Before Module One, there is a Welcome call with your tutor.
  • At the end of Module Four, there is a mid-course review.
  • At the end of Module Nine, there is an end-of-course review.
  • After the end-of-course review, there is a final test (printed out and taken like an assignment, to check their progress and see if they are ready to continue their studies).

 

Module One 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 1.1 Rules of Indices 
  • 1.2 Standard Form 
  • 1.3 Prime Factorisation 
  • 1.4 Finding HCF and LCM using Prime Factorisation 
  • 1.5 Significant Figures 
  • 1.6 Approximations 
  • 1.7 Upper and Lower Bounds 
  • 1.8 Terminating and recurring decimals

 

 

  • Use integer powers. 
  • Interpret and compare numbers in standard form. 
  • Use the concepts and vocabulary of highest common factor, lowest common multiple and prime factorisation. 
  • Round numbers and measures to an appropriate degree of accuracy. 
  • Use approximation through rounding to estimate answers. 
  • Apply and interpret limits of accuracy when rounding or truncating, {including upper and lower bounds}. 

8Ni.05 Use positive and zero indices, and the index laws for multiplication and division. 

9Ni.03 Understand the standard form for representing large and small numbers. 

7Ni.04 Understand lowest common multiple and highest common factor (numbers less than 100). 

8Ni.03 Understand factors, multiples, prime factors, highest common factors and lowest common multiples. 

7Np.02 Round numbers to a given number of decimal places. 

8Np.02 Round numbers to a given number of significant figures. 

7Ni.01 Estimate, add and subtract integers, recognising generalisations. 

8Ni.02 Estimate, multiply and divide integers, recognising generalisations. 

9Np.02 Understand that when a number is rounded there are upper and lower limits for the original number.

8Nf.01 Recognise fractions that are equivalent to recurring decimals.

9Nf.01 Deduce whether fractions will have recurring or terminating decimal equivalents.

 

*objectives in brackets are studied at a later stage in Lower Secondary. 

Pages 2-18 

Pages 42-51 

 

ASSIGNMENT ONE  

 

 

 

 

Module Two 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 2.1 Revising Fractions 
  • 2.2 Improper Fractions and Mixed Fractions 
  • 2.3 Multiplying and Dividing Mixed Numbers 
  • 2.4 Speed  
  • 2.5 Density 
  • 2.6 Converting Between Metric Units of Area and Volume  

 

  • Use the four operations applied to proper and improper fractions and mixed numbers. 
  • Use compound units to solve problems. 
  • Use standard units of mass, length, time and other measures. 

9Nf.02 Estimate, add and subtract proper and improper fractions, and mixed numbers, using the order of operations. 

9Nf.03 Estimate, multiply and divide fractions, interpret division as a multiplicative inverse, (and cancel common factors before multiplying or dividing.) 

7Gg.04 Understand the relationships and convert between metric units of area, including (hectares (ha),) square metres (m²), square centimetres (cm²) and square millimetres (mm²). 

Pages 21-37 

Pages 101-119 

 

ASSIGNMENT TWO 

 

 

 

  

Module Three 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 3.1 Revising Equations 
  • 3.2 Using Indices in Algebra 
  • 3.3 Expanding Double Brackets 
  • 3.4 Formulae 
  • 3.5 Gradient 
  • 3.6 The Equation of a Straight Line 
  • 3.7 Plotting Quadratic Graphs 
  • Use algebraic methods to solve linear equations. 
  • Solve linear equations involving all forms that require rearrangement. 
  • Simplify and manipulate algebraic expressions to maintain equivalence by expanding products of 2 binomials 
  • Use integer powers. 
  • Substitute numerical values into formulae and expressions 
  • Interpret gradients. 
  • Apply y = mx + c to interpret linear graphs. 
  • Develop algebraic and graphical fluency, including understanding linear and simple quadratic functions. 

8Ni.05 Use positive and zero indices, and the index laws for multiplication and division. 

8Ae.06 Understand that a situation can be represented either in words or as an equation. Move between the two representations and solve the equation (integer or fractional coefficients, unknown on either or both sides). 

9Ae.03 Understand that a situation can be represented either in words or as an algebraic expression, and move between the two representations (including squares, cubes and roots). 

9Ae.04 Understand that a situation can be represented either in words or as a formula (including squares and cubes) and manipulate using knowledge of inverse operations to change the subject of a formula. 

8As.04 Understand that a situation can be represented either in words or as a linear function in two variables (of the form y = mx + c) and move between the two representations. 

8As.05 Use knowledge of coordinate pairs to construct tables of values and plot the graphs of linear functions, where y is given explicitly in terms of x (y = mx + c). 

8As.06 Recognise that equations of the form y = mx + c correspond to straight-line graphs, where m is the gradient and c is the y-intercept (integer values of m). 

9As.05 Use knowledge of coordinate pairs to construct tables of values and plot the graphs of linear functions, including where y is given implicitly in terms of x (ax + by = c), and quadratic functions of the form y = x^2  ± a. 

Pages 124 - 146 

Pages 155 - 173 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

ASSIGNMENT THREE

 

 

 

 

Module Four 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 4.1 Percentages reminder 
  • 4.2 Using a percentage multiplier 
  • 4.3 Reverse percentages 
  • 4.4 Ratio and proportion reminder 
  • 4.5 Direct proportion using a formula 
  • 4.6 Inverse proportion using a formula 

 

  • Interpret percentages as operators. 
  • Solve problems in financial mathematics. 
  • Use ratio notation. 
  • Divide a given quantity into two parts in a given ‘part:part’ or ‘part:whole’ ratio. 
  • Extend and formalise their knowledge of ratio and proportion. 

7Nf.01 Recognise that fractions, terminating decimals and percentages have equivalent values. 

7Nf.05 Recognise percentages of shapes and whole numbers, including percentages less than 1 or greater than 100. 

8Nf.05 Understand percentage increase and decrease, and absolute change. 

9Nf.05 Understand compound percentages. 

7Nf.10 Use knowledge of equivalence to simplify and compare ratios (same units). 

8Nf.09 Understand and use the relationship between ratio and direct proportion. 

7Nf.11 Understand how ratios are used to compare quantities, to divide an 

amount into a given ratio with two parts. 

8Nf.11 Understand how ratios are used to compare quantities, to divide an amount into a given ratio with two or more parts. 

7Nf.09 Understand and use the unitary method to solve problems involving ratio and direct proportion in a range of contexts. 

Pages 58-96 

 

 

ASSIGNMENT FOUR 

 

 

 

 

Module Five 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 5.1 Reflections and translations reminder 
  • 5.2 Rotations  
  • 5.3 Enlargements 
  • 5.4 Probability spaces 
  • 5.5 Using Venn diagrams in Probability 
  • 5.6 Combined events 

 

 

  • Describe the results of translations, rotations and reflections. 
  • Construct similar shapes by enlargement. 
  • Generate sample spaces for combined events. 

 

7Gg.10 Identify reflective symmetry and order of rotational symmetry of 2D shapes and patterns. 

7Gp.03 Use knowledge of translation of 2D shapes to identify the corresponding points between the original and the translated image, without the use of a grid. 

7Gp.04 Reflect 2D shapes on coordinate grids, in a given mirror line (𝑥- or 𝑦-axis), recognising that the image is congruent to the object after a reflection. 

7Gp.05 Rotate shapes 90º and 180º around a centre of rotation, recognising that the image is congruent to the object after a rotation. 

8Gp.03 Translate points and 2D shapes, recognising that the image is congruent to the object after a translation. 

8Gp.04 Reflect 2D shapes and points in a given mirror line on or parallel to the 𝑥- or 𝑦-axis, or 𝑦= ±𝑥 on coordinate grids. Identify a reflection and its mirror line. 

8Gp.05 Understand that the centre of rotation, direction of rotation and angle are needed to identify and perform rotations. 

9Gp.03 Transform points and 2D shapes by combinations of reflections, translations and rotations. 

9Gp.04 Identify and describe a transformation (reflections, translations, rotations and combinations of these) given an object and its image. 

9Gp.05 Recognise and explain that after any combination of reflections, translations and rotations the image is congruent to the object. 

Pages 199-228 

Pages 338-363

 

 

7Gp.06 Understand that the image is mathematically similar to the object after enlargement. Use positive integer scale factors to perform and identify enlargements. 

7Gg.02 Understand that if two 2D shapes are congruent, corresponding sides and angles are equal. 

9Gp.06 Enlarge 2D shapes, from a centre of enlargement (outside, on or inside the shape) with a positive integer scale factor. Identify an enlargement, centre of enlargement and scale factor. 

7Sp.03 Identify all the possible mutually exclusive outcomes of a single event, and recognise when they are equally likely to happen. 

7Sp.04 Understand how to find the theoretical probabilities of equally likely outcomes. 

8Sp.01 Understand that complementary events are two events that have a total probability of 1. 

8Sp.02 Understand that tables, diagrams and lists can be used to identify all mutually exclusive outcomes of combined events (independent events only). 

8Sp.03 Understand how to find the theoretical probabilities of equally likely combined events. 

9Sp.01 Understand that the probability of multiple mutually exclusive events can be found by summation and all mutually exclusive events have a total probability of 1. 

9Sp.03 Understand how to find the theoretical probabilities of combined events. 

 

ASSIGNMENT FIVE 

 

 

 

 

Module Six 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 6.1 Distance-time graphs 
  • 6.2 Reading from real life graphs 
  • 6.3 Similar triangles  
  • 6.4 Using Trigonometry to find a side  
  • 6.5 Using trigonometry to find an angle  
  • 6.6 Angles of elevation and depression 
  • Model situations graphically. 
  • Use trigonometric ratios in similar triangles to solve problems involving right-angled triangles. 

9As.07 Read, draw and interpret graphs and use compound measures to compare graphs. 

 7Gg.02 Understand that if two 2D shapes are congruent, corresponding sides and angles are equal. 

Pages 177-198 

Pages 277-300 

ASSIGNMENT SIX 

 

 

 

 

Module Seven 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 7.1 Volume of a prism 
  • 7.2 Volume of a cylinder 
  • 7.3 Surface area 
  • 7.4 Constructing triangles 
  • 7.5 Constructing angle bisectors and line bisectors 
  • 7.6 Constructing perpendicular lines 
  • 7.7 Congruent triangles 

 

  • Apply formulae to calculate volume. 
  • Construct triangles using compasses. 
  • Use the standard ruler and compass constructions. 
  • Apply triangle congruence to derive results about angles and sides. 

8Gg.06 Use knowledge of area and volume to derive the formula for the volume of a triangular prism. Use the formula to calculate the volume of triangular prisms. 

9Gg.04 Use knowledge of area and volume to derive the formula for the volume of prisms and cylinders. Use the formula to calculate the volume of prisms and cylinders. 

7Gg.09 Use knowledge of area, and properties of cubes and cuboids to calculate their surface area. 

8Gg.08 Use knowledge of area, and properties of cubes, cuboids, triangular prisms and pyramids to calculate their surface area. 

9Gg.05 Use knowledge of area, and properties of cubes, cuboids, triangular prisms, pyramids and cylinders to calculate their surface area. 

8Gg.12 Construct triangles, midpoint and perpendicular bisector of a line segment, and the bisector of an angle. 

Pages 234-276

ASSIGNMENT SEVEN 

 

 

 

 

Module Eight 

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 8.1 Averages from grouped data  
  • 8.2 Displaying grouped data 
  • 8.3 Scatter diagrams and Correlation  
  • Interpret and compare appropriate measures of central tendency. 
  • Construct and interpret appropriate tables and charts. 
  • Interpret other diagrams for ungrouped and grouped numerical data. 
  • Describe simple mathematical relationship between two variables. 

9Ss.04 Use mode, median, mean and range to compare two distributions, including grouped data. 

9Ss.03 Record, organise and represent categorical, discrete and continuous data. Choose and explain which representation to use in a given situation: 

- Venn and Carroll diagrams 

- tally charts, frequency tables and two-way     tables 

- dual and compound bar charts 

- pie charts 

- line graphs, (time series graphs) and frequency polygons 

- scatter graphs 

(- stem-and-leaf and back-to-back stem-and-leaf diagrams) 

(- infographics.) 

Pages 306-337

ASSIGNMENT EIGHT

 

 

 

 

Module Nine

National Curriculum Link 

Cambridge Curriculum link 

Coursebook Pages 

Topics: 

  • 9.1 Revising Powers and Indices, Fractions and Accuracy
  • 9.2 Revising Percentages, and Ratio and Proportion
  • 9.3 Using Measures and Equations, Expressions and Formulae
  • 9.4 Graphs, Real-life Graphs and Transformations
  • 9.5 Prisms and Cylinders, Constructions and Trigonometry
  • 9.6 Working with Data and Probability
  • 9.7 Revisiting Book 2 topics
  • See Module One, Module Two, Module Three, Module Four, Module Five, Module Six, Module Seven, Module Eight.

See Module One, Module Two, Module Three, Module Four, Module Five, Module Six, Module Seven, Module Eight.

Pages 54-57
Pages 97-100
Pages 150-152
Pages 229-233
Pages 301-305
Pages 364-369

 

 

 

Mastering Mathematics Book 2
Pages 1-8, 42, 53-57, 90-92, 131-133, 139-140, 186-191, 203, 266-278, 283-292, 296-297.

ASSIGNMENT NINE or BIG QUIZ