# Gareth Evans's Shop

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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

#### 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.

#### Introducing Angles

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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 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.

#### 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.

#### 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.

#### 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.

#### 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.

#### Straight Line Graphs

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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.

#### 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 4

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A year 10 unit of work covering the following topics: (1) Questionnaires: Designing questionnaires. Criticising questions. Hypotheses. (2) Sampling: Simple random sampling. Systematic sampling. Stratified sampling. (3) Frequency Polygons: Drawing frequency polygons. Interpreting frequency polygons. (4) Box and Whisker Diagrams: Drawing box and whisker diagrams. The connection between box and whisker diagrams and cumulative frequency diagrams. (5) Comparing Averages: Revising averages. Choosing the most appropriate average. Comparing averages.

#### Measuring Shapes 5

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A year 11 unit of work covering the following topics: (1) 3–D Trigonometry: 2–D Trigonometry (Revision). 3–D Trigonometry. (2) The Sine Rule, The Cosine Rule: The Sine Rule. The Cosine Rule. Sine Rule or Cosine Rule? (3) Area of a Triangle: Calculating the area of a triangle. (4) Trigonometric Graphs: The unit circle. Trigonometric graphs. Solving trigonometric equations. Function transformations.

#### Data Handling and Statistics 3

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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.

#### 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

#### Accuracy of Measurements

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A year 10 unit of work covering the following topics. (1) Upper and Lower Bounds: Revision of how to round off. Upper and lower bounds. Problem solving (intermediate tier). Problem solving (higher tier). (2) Appropriate Degree of Accuracy: Calculating answers to an appropriate degree of accuracy. (3) Compound Measures: Distance, time and speed. Population, area and population density. Mass, volume and density. Other compound measures.

#### Measuring Solids

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A year 10 unit of work covering the following topics. (1) Solids: Volume and surface area of a cuboid. Volume of a prism. Volume and surface area of a cylinder. Volume of a pyramid. Surface area of a cone. Volume and surface area of a sphere. (2) Dimensions: Length, area and volume. Nonsensical formulae. (3) Composite Solids: Volume of composite solids. Frustum of a cone. Hemisphere. (4) Similar Shapes: Calculating the scale factor. Calculating missing lengths. Similar or not? Similar triangles. Scale factor for length, area and volume. Using similar triangles to calculate the volume of a frustum of a cone. (5) Pythagoras’ Theorem (3-D): Calculating lengths in three-dimensional shapes.

#### Measuring Shapes 2

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A year 9 unit of work covering the following topics. (1) Circle Terminology: Parts of a circle. (2) Circumference and Area of a Circle: Finding 𝜋. Calculating the circumference of a circle. Calculating the area of a circle. Finding the radius from the area. (3) Shapes on Isometric Paper: Drawing shapes on isometric paper. (4) Plans and Elevations: Drawing solids from different plans and elevations. (5) Pythagoras’ Theorem (2-D): The hypotenuse of a right-angled triangle. Pythagoras’ Theorem. Pythagorean Triples. Proving whether or not a triangle is right-angled. (6) Scale Drawings: Creating a scale drawing. Interpreting a scale drawing.

#### 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 4

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A year 11 unit of work covering the following topics: (1) Transformations of Functions: Function notation. Translation. Stretching. Reflection. (2) Pre-Calculus: Tangent to a function. Travel graphs. Displacement, Velocity and Acceleration. The area between a graph and the 𝒙–axis. The Trapezium Rule. (3) Further Changing the Subject: Revision of previous work. Changing the subject where the subject appears more than once. (4) The Quadratic Formula: Solving quadratic equations. Solving problems. (5) Algebraic Fractions: Numerical fractions. Algebraic fractions. Solving equations involving algebraic fractions.

#### 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.