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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

A weekly numeracy homework pack, covering two six-week periods.
Each week contains 9 “bread & butter” questions and a reasoning question.
Questions and Answers are included.
English and Welsh versions are included.
Updated for 2019.

A weekly numeracy homework pack, covering two six-week periods.
Each week contains 9 “bread & butter” questions and a reasoning question.
Questions and Answers are included.
English and Welsh versions are included.
Updated for 2019.

A year 7 unit of work on angles.
(1) Types of Angles: Turns. Acute, obtuse and reflex angles. Naming angles.
(2) Measuring Angles: Estimating angles. Using a protractor to measure angles.
(3) Drawing Angles: Using a protractor to draw angles. Drawing special angles without a protractor.
(4) Calculating Angles Angles around a point. Angles on a straight line. Vertically opposite angles.
(5) Angles in Triangles Angles in a triangle. Types of triangles. The exterior angle of a triangle. Constructing triangles.

A weekly numeracy homework pack, covering two six-week periods.
Each week contains 9 “bread & butter” questions and a reasoning question.
Questions and Answers are included.
English and Welsh versions are included.
Updated for 2019.

A year 8 unit of work covering the following topics:
(1) Sequences: Number patterns. Function machines.
(2) Forming Expressions Rules of algebra. Writing algebraic expressions.
(3) Substitution: Substituting into algebraic expressions. Substituting into formulae.
(4) Collecting Like Terms: Collecting like terms using one variable. Collecting like terms using more than one variable.
(5) Solving Equations Solving one step equations. Solving more complex equations. Solving problems with equations.

A year 8 unit containing the following topics.
(1) Directed Numbers: Ordering Directed Numbers. ‘Less than’ and ‘More than’. Calculating with Directed Numbers (Addition; Subtraction; Multiplication; Division).
(2) Decimals: Adding and Subtracting Decimals. Multiplying and Dividing Decimals by a Whole Number Less Than 10. Ordering Decimals. Converting between Percentages and Decimals. Rounding Off to a Specified Number of Decimal Places.
(3) Angles 2: Revision of Year 7 work. Angles with Parallel Lines.
(4) Transformations: Rotation: Rotating a Shape Around a Specific Point.

A year 7 unit of work covering the following topics.
(1) The First Quadrant: Plotting co-ordinates in the first quadrant.
(2) The Four Quadrants: The four quadrants. Plotting co-ordinates in the four quadrants.
(3) Mid-point of a Line: The first quadrant. Adding negative numbers. The four quadrants.
(4) Using Co-ordinates: Missing co-ordinates. Translations using a column vector.

A year 7 unit of work covering the following topics.
(1) The Mean: Calculating the mean; Calculating the mean from a table;
Comparing two distributions.
(2) The Range: Calculating the range; Comparing two distributions.
(3) Bar Charts: Types of data; Bar charts; Frequency diagrams; Interpreting charts.
(4) Mean of Grouped Data: Estimating the mean from a table.
(5) Pie Charts: Drawing pie charts; Interpreting pie charts

A year 10 unit of work covering the following topics.
(1) Rules of Indices: The index form. Evaluating the index form. The multiplication rule. The division rule. The zeroth index rule. Raising a power to another index. The negative index rule. The reciprocal as a negative index. Unitary fraction index rule. Algebra and rules of indices. The general fraction index rule.
(2) Standard Form: Writing numbers 𝑥 ≥ 1 in standard form. Writing numbers 0 < 𝑥 < 1 in standard form. Changing from standard form to an ordinary number. Adding and subtracting in standard form. Almost in standard form. Multiplying and dividing in standard form.
(3) Efficient Percentage Changes: Repeated percentage changes. Calculating compound interest efficiently. Fractional changes. Reverse percentages.
(4) Graph Plotting: Quadratic graphs. Recognising and sketching graphs of the form 𝑦 = 𝑎𝑥² + 𝑏. Graphical method of solving equations of the form 𝑥² + 𝑎𝑥 + 𝑏 = 0. Other graphs.

A year 9 unit of work containing the following topics.
(1) Rounding Off: Significant Figures: Rounding a number off to a specified number of significant figures. Labelling the significant figures of a number.
(2) Estimation: Estimating the answer to calculations.
(3) Compound Interest: Revising simple interest. The compound interest method of borrowing and investing money.
(4) Foreign Money: Exchange rates. Exchanging money.
(5) Household Bills: Electricity; gas; water; sewerage and mobile phone bills.

A year 9 unit of work on the following topics:
(1) Gradient of a Line: Measuring and finding the gradient of straight lines.
(2) Straight Line Graphs: Vertical lines of the form 𝑥 = 𝑎. Horizontal lines of the form 𝑦 = 𝑏. General lines of the form 𝑦 = 𝑚𝑥 + 𝑐. Solving simultaneous equations graphically.
(3) The Gradient of Parallel and Perpendicular Lines: The gradient of parallel lines. The gradient of perpendicular lines.
(4) Transformations: Reflection: Reflecting shapes in lines of the form 𝑥 = 𝑎 and 𝑦 = 𝑏. Reflecting shapes in lines of the form 𝑦 = 𝑚𝑥 + 𝑐.

A year 7 unit of work on percentages.
(1) Preparation: Place value; Writing numbers in words and in figures;
Multiplying and dividing by a power of 10; Multiplying a decimal by a whole number less than ten; Adding and subtracting decimals.
(2) Calculating Percentages: Percentages of shapes; Simple percentages; Calculating a percentage without a calculator; Calculating a percentage
with a calculator.
(3) Using Percentages: Profit and loss; Simple interest; Salaries; Percentage in a test.

A year 10 unit of work covering the following topics.
(1) Simple Factorising: Reversing Expansion. Simple Factorising.More than one Variable.
(2) Factorising Quadratic Expressions: Preparation. Factorising Quadratic Expressions of the form 𝑥² + 𝑎𝑥 + 𝑏. Solving Quadratic Equations through Factorising. Factorising Quadratic Expressions of the form 𝒂𝒙² + 𝒃𝒙 + 𝒄. The Difference of Two Squares.
(3) Simultaneous Equations: Multiplying Equations. Subtracting Equations. Multiplying Equations to obtain Equal Coefficients. Solving Linear Equations. Solving Simultaneous Equations.
(4) Changing the Subject: Re-arranging formulae.
(5) Expression, Equation, Formula, Identity: Recognising expressions, equations, formulae and identities. Proving identities.

This resource is designed to be printed onto A4 paper to produce an A5 booklet.
The workbook contains an assortment of exercises designed to practice recall of the 2-12 times tables.

A year 8 unit of work containing the following topics.
(1) The Mode: Calculating the mode. Calculating the mode from a table. The modal class. Comparing two distributions.
(2) Pictograms: Drawing pictograms. Interpreting pictograms.
(3) Vertical Line Diagrams Revising types of data. Drawing vertical line diagrams. Interpreting vertical line diagrams.
(4) Line Graphs: Drawing line graphs. Interpreting line graphs. Revising displaying data.
(5) Probability in Words: Vocabulary of probability. Probability scale. Probability as a number.

Solving an equation or inequality is similar to completing a level in Candy Crush. In order to make progress, the next move must be chosen carefully.
This is a worksheet containing equations and inequalities, sorted into five levels of difficulty.

A year 9 unit of work covering the following topics:
(1) Linear Nth Term: Terms of a sequence. Finding the 𝑛th term. Finding the position of a term.
(2) Expanding Brackets: Expanding numerical sums. Multiplying algebraic terms. Expanding algebraic expressions. Expanding and simplifying.
(3) FOIL: Expanding a double bracket. Expanding and simplifying a double bracket. FOIL with more than one variable. Brackets containing more than two terms.
(4) Solving Equations 2: Revision of year 8 work on solving equations. Solving equations containing brackets. Solving equations where a double bracket is equal to zero. Equations containing fractions. Equations containing more than one fraction.
(5) Trial and Improvement: Solving equations using trial and improvement (to the nearest unit; to one decimal place; to two decimal places). Using the table mode on a calculator.

A year 9 unit of work containing the following topics.
(1) The Median: Calculating the median. Calculating the median from a table. Comparing two distributions.
(2) The Median Class: Finding the median class or the estimate for the median.
(3) The Interquartile Range: Calculating the interquartile range of a set of data.
(4) Cumulative Frequency Diagrams: Cumulative frequency tables. Drawing a cumulative frequency diagram. Estimating the median and the interquartile range.
(5) Scatter Diagrams: Drawing a scatter diagram. Types of correlation. Line of best fit.
(6) Probability as a Fraction Writing the probability of an event as a fraction. The probability that an event will not happen. Sample space diagrams. Expected frequency.

A year 8 unit of work covering the following topics.
(1) Square Root and Cube Root: Revision of Square Numbers and Cube Numbers from Year 7 work. Square Root, Cube Root.
(2) Factors and Prime Numbers: Listing common factors. Defining a prime number. Recognising a prime number.
(3) Venn Diagrams: Two circle Venn diagrams. Three circle Venn diagrams. Set notation.
(4) Index Form: Writing a number as a product of its prime factors. Writing numbers in index form. Square numbers in index form.
(5) Highest Common Factor, Lowest Common Multiple: Finding the Highest Common Factor of two numbers. Finding the Lowest Common Multiple of two numbers.

A year 10 unit of work covering the following topics:
(1) Calculating: Mastering the techniques. Problem solving.
(2) Recurring Decimals: Changing fractions to decimals. Terminating and recurring decimals. Changing recurring decimals to fractions.
(3) Converting: Converting between fractions, decimals and percentages. Starting with a percentage. Starting with a fraction. Starting with a terminating decimal. Starting with a recurring decimal.
(4) Exam Technique: Summary. Assessing written communication. Mark schemes. Timing.