# Gareth Evans's Shop

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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

#### Introducing Angles

(17)
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.

#### 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.

#### Movement with Sphero

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A year 9 unit of work on the following topics. (1) Programming Sphero: Working Systematically. Thinking Logically. (2) Travel Graphs: Distance, Time and Speed. Distance-Time Graphs. Speed-Time Graphs. (3) Bearings: Directions of the Compass. Moving on a Plane. Finding Bearings. Locating a Point. (4) Loci: Distance from a Point. Distance from a Line. Perpendicular Bisector. Angle Bisector. Drawing the Perpendicular from a Point to a Line.

#### 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.

#### Year 7 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.

#### 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.

#### 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.

#### Revision Cards for WJEC Mathematics

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A set of revision cards for the WJEC Numeracy and Mathematics specifications. The cards correspond to the 30 workbooks available for free in the author’s TES shop. Instructions for creating the cards: (1) Print the sheets back-to-back (there should be 6 pieces of A4 paper in total). (2) Laminate the sheets (optional). (3) Cut out the individual cards (6 to each piece of A4 paper). (4) Punch a single hole in each corner. (This is easier to do if you have a single hole punch.) (5) Feed a key-ring through the holes.

#### Year 9 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.

#### 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.

#### Powers and Roots

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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 &lt; 𝑥 &lt; 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.

#### Fractions, Percentages and Decimals

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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.

#### 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.

#### 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.

#### 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 Percentages

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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.

#### Data Handling and Statistics 1

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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

#### Candy Crush Equations and Inequalities

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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.