Mathematics Module 1 - (weeks 1 8) Year 9 Set 1. Number, Accuracy and Loci

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1 Mathematics Module 1 - (weeks 1 8) Year 9 Set 1 Number, Accuracy and Loci To revise converting between percentages, fractions and decimals. To learn how to calculate percentage increases and decreases without the use of a calculator and find percentages and fractions of a quantity. To apply fractions in calculations of ratios and speed, distance, time calculations. To approximate numbers and measurements to an appropriate degree of accuracy through the use of rounding and significant figures and understand that approximating causes errors in measurement and therefore work out the accuracy of results. To understand standard form notation, and be able to use in calculations and learn the rules of multiplying and dividing numbers written to a power. To learn and be able to construct the locus of a point, a line and combinations of the two. To construct the bisection of angles and lines. homework and tests. This will be based on Chapters 7, 5 and 12. To be able to make and justify estimates and approximations of calculations. Recognise limitations on the accuracy of data and measurements. Know and use the index laws for multiplication and division of positive integer powers. Use measures of speed and other compound measures to solve problems. Find the locus of a point that moves according to a simple rule and know how to construct a perpendicular bisector and angle bisector using a pair of compasses. significant, upper and lower limits, minimum, maximum, standard form, index number, powers, locus, perpendicular bisector, equidistant, circumscribed One homework per week, which will either be a completion of tasks based on the continuation of the You will be marked By Beyond, Ac Achieving or T Working Towards based on your chapter test marks.

2 Mathematics Module 2 - (weeks 9 16) Year 9 Set 1 Pythagoras, Circles and Volume To introduce Pythagorean triples, finding the hypotenuse and finding any side of a right angled triangle. To be able to calculate the length around the outside of a circle and the area of a circle. To learn about prisms and how to calculate their volume. To be able to convert units of capacity into those of volume and vice versa. To use dimension theory to deduce whether a formula is for length, area or volume. homework and tests. This will be based on Chapters 1, 3 and 6. GCSE Skills (Level 5 pupils are expected to fully understand the majority of the following) Understand and apply Pythagoras theorem. Know and use the formulae for the circumference and area of a circle. Understand and use formulae for the volume of basic 3D shapes. Hypotenuse, adjacent, circumference, π, prism, cross-section, dimension. One homework per week, which will either be a completion of tasks based on the continuation of the The ability to meet to deadlines You will be marked By Beyond, Ac Achieving or T Working Towards based on your chapter test marks.

3 Mathematics Module 3 - (weeks 17 24) Year 9 Set 1 Formulas and Algebra To revise using formulae to simplify real life problems. To consolidate knowledge of order of operations within an equation. To revise finding the rule for linear sequences and those containing a squared term. To use trial and improvement to find an unknown. To be able to simplify algebraic expressions through collecting like terms and factorising. To multiply out factorisations involving 2 brackets and simplify. To solve linear equations and learn how to manipulate formulae. To revise plotting straight line graphs. To learn how to solve simultaneous equations graphically, and algebraically. To learn how to show inequalities on a Cartesian plane. homework and tests. This will be based on Chapters 2, 8 and 13. Construct and solve linear equations with integer coefficients, using an appropriate method. Generate terms of a sequence using term-to-term and position to-term definitions of the sequence, and write an expression to describe the nth term of an arithmetic sequence. Given values for m and c, find the gradient of lines given by equations of the form y = mx + c. Construct functions arising from real-life problems and plot their corresponding graphs; interpreting graphs arising from real situations. Square a linear expression and expand the product of two linear expressions of the form x±n; establish identities. Solve a pair of simultaneous linear equations by eliminating one variable; link a graphical representation of an equation or a pair of equations to the algebraic solution. Change the subject of a formula. Sequence, square root, nth term, collecting terms, power, simplify, factorise, subject, gradient, point of intersection, simultaneous, inequality, region. You will be marked By Beyond, Ac Achieving or T Working Towards based on your chapter test marks.

4 Mathematics Module 4 - (weeks 25 32) Year 9 Set 1 Statistics, Probability and Trigonometry To learn how to use a variety of statistical techniques to calculate averages and range and how to construct and use cumulative frequency diagrams. To learn how to construct and interpret scatter diagrams, pie charts and misleading diagrams. To learn basic probability theory, how to calculate relative frequency, how to list outcomes, how to construct and use probability tree diagrams. To learn the basic concepts of trigonometry. homework and tests. This will be based on Chapters 4, 9 11 and 10. To be able to calculate averages and range for sets of data, including grouped data. To be able to complete cumulative frequency tables and diagrams and to use these to determine medians, quartiles and inter quartile ranges. To be able to construct and use scatter graphs, pie charts, misleading diagrams and sample space diagrams. To be able to find the probability of an event happening and to calculate relative frequencies. To be able to construct probability tree diagrams and to use these to fine the probabilities of combined events. To be able to use the trigonometric functions sine, cosine, tangent to find unknown lengths and angles in right angled triangles. Discrete data, continuous data, bar chart, mean, mode, median, range, grouped data, cumulative frequency, lower quartile, upper quartile, inter- quartile range, scatter diagrams, correlation (positive, negative, none), line of best fit, pie charts, misleading diagrams, sample space diagrams, probability scale, probability of something happening/not happening, frequency, relative frequency, tally chart, sample space diagram, independent events, tree diagrams, trigonometry sine, cosine, tangent, (and inverse sine, cosine or tangent), opposite, adjacent, hypotenuse. You will be marked By Beyond, Ac Achieving or T Working Towards based on your chapter test marks.

5 Mathematics Module 5- (Weeks 33 40) Year 9 Set 1 Plotting and Sketching Graphs, Transformations, SATS revision and Coursework To learn how to draw and sketch curves. To learn how to apply transformations to shapes and how to calculate lengths of sides for similar triangles. To revise thoroughly for SATS using past SATS papers. To prepare for the Year 10 GCSE Statistics coursework homework and tests. This will be based on Chapters 14, 15, and past SATS papers. After SATS mathematical methods and techniques are covered which will be required for the Year 10 GCSE statistics coursework in September/October, and a small project is undertaken using these techniques. To be able to plot points and draw the curves for graphs from their algebraic equations. To be able to sketch graphs and to find the gradients of curves at different points. To be able to transform shapes by reflection, translation, rotation or enlargement. To be able to identify whether two triangles are similar and to be able to calculate the lengths of an unknown side of either triangle. To be able to use statistical techniques required for the Year 10 GCSE Statistics coursework, i.e. calculation of mean, mode, median range for lists of discrete data, from frequency tables, and for grouped data, production of cumulative frequency tables and graphs, & calculation of median, lower quartile, upper quartile, inter-quartile range, and calculation of standard deviation. Graph, gradient of a curve, sketch graph, transformation, object, image, congruent, line of reflection, translation, rotation, centre of rotation, combined transformations, enlargement, centre of enlargement, similar, similar triangles. Ensuring all books and equipment are brought to lessons. You will be marked By Beyond, Ac Achieving or WT Working towards, based on your chapter test marks.

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