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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

#### Developing Algebra 3

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A year 11 unit of work covering the following topics. (1) Direct and Inverse Proportion: Direct Proportion. Inverse Proportion. More than one Proportion. Proportion Graphs. (2) Proportion Equations: Direct Proportion. Inverse Proportion. Finding Proportion Equations. (3) Quadratic Nth Term Linear Nth Term. The First Difference. Simple Quadratic Sequences. More Complex Quadratic Sequences. (4) Inequalities: Inequality Symbols. Inequalities on a Number Line. Solving Equations. Solving Inequalities. (5) Regions of Graphs: Revising plotting graphs of the form 𝑥 = 𝑎 and 𝑦 = 𝑏. Revising plotting graphs of the form 𝑦 = 𝑚𝑥 + 𝑐. Plotting graphs of the form 𝑎𝑥 + 𝑏𝑦 + 𝑐 = 0. Shading Regions.

#### The End of Year 8

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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.

#### Developing Algbera 1

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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.

#### The End of Year 11

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A year 11 unit of work covering the following topics: (1) Surds: Rational and irrational numbers. Surds. Simplifying surds. Expanding with surds. (2) AER, APR. Annual Equivalent Rate (AER). Alternative method of calculating AER. Annual Percentage Rate (APR). (3) Histograms: Frequency density. Drawing a histogram. Interpreting a histogram. Estimating the median from a histogram. Estimating the quartiles from a histogram. Comparing histograms.

#### Working with Money

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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.

#### Measuring Shapes 3

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A year 10 unit of work covering the following topics. (1) Trigonometry of Right-Angled Triangles. Labelling triangles. Calculating the length of a side. Calculating the size of an angle. (2) Transformations: Enlargement. Positive scale factor. Fractional scale factor. Centre of enlargement. Finding the centre of enlargement. Negative scale factor. (3) Tessellations: Tessellating with triangles. Tessellating with quadrilaterals. (4) Perimeter and Area of Composite Shapes. Composite shapes. Length of an arc and the area of a sector.

#### Developing Probability

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A year 11 unit of work covering the following topics. (1) Relative Frequency: Revision. Relative Frequency. (2) Combined Events: Independent events. Dependent events. Mutually exclusive events. Venn diagrams. Sample space diagrams and dependent events. (3) Tree Diagrams: Displaying combinations of two or more events. Independent events. Dependent events.

#### Measuring Shapes 1

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A year 8 unit of work containing the following topics. (1) Measures: Measures of Length, Mass and Volume. Reading scales. Conversion graphs. (2) Quadrilaterals: Square; Rectangle; Parallelogram; Rhombus; Trapezium; Kite; Arrowhead. Angles in a quadrilateral. (3) Perimeter and Area: Perimeter of shapes. Area of triangles. Area of quadrilaterals. Estimating the area of irregular shapes. (4) Solids: Names of solids. Nets of solids. Volume of a cuboid.

#### Factors and Multiples

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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.

#### Data Handling and Statistics 2

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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.

#### Parts of a Number

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A year 9 unit of work covering the following topics. (1) Introducing Bar Modelling: Addition and subtraction. Problem solving. (2) Ratios: Sharing in a given ratio. Equivalent ratios. Simplifying a ratio. Comparing ratios 1. The unitary method. Comparing ratios 2. Map work. (3) Fractions: Fraction of a shape. Calculating a fraction of a number. Fractions as numbers. Comparing fractions 1. Mixed numbers and improper fractions. Addition and subtraction of fractions with equal denominators. Equivalent fractions. Comparing fractions 2. Simplifying fractions. Addition and subtraction of fractions with different denominators. Multiplying fractions. Dividing fractions. Calculations with mixed numbers. Fractions on a calculator. (4) Reciprocals: Reciprocal of a whole number. Reciprocal of a fraction. Reciprocal of a mixed number.

#### Year 8 Numeracy Homework Pack

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A weekly numeracy homework pack, covering two six-week periods. Each week contains 9 “bread &amp; butter” questions and a reasoning question. Questions and Answers are included. English and Welsh versions are included. Updated for 2021.

#### Co-ordinates in the Four Quadrants

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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.

#### Introducing Algebra

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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.

#### Developing Algebra 2

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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.