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Secondary Mathematics Resources.
Developing Algebra 4
GarethEvansGarethEvans

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 ๐’™โ€“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.
The Unknown
GarethEvansGarethEvans

The Unknown

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A numeracy workbook designed to revise algebraic concepts with Year 10. Contains 20 worksheets each containing 6 algebra questions and 6 questions on another topic. A UFO theme runs throughout the workbook. Answers are available as part of the download.
Straight Line Graphs
GarethEvansGarethEvans

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 ๐‘ฅ = ๐‘Ž. Horizontal lines of the form ๐‘ฆ = ๐‘. General lines of the form ๐‘ฆ = ๐‘š๐‘ฅ + ๐‘. 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 ๐‘ฅ = ๐‘Ž and ๐‘ฆ = ๐‘. Reflecting shapes in lines of the form ๐‘ฆ = ๐‘š๐‘ฅ + ๐‘.
Introducing Percentages
GarethEvansGarethEvans

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
GarethEvansGarethEvans

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.
Candy Crush Equations and Inequalities
GarethEvansGarethEvans

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.
Data Handling and Statistics 3
GarethEvansGarethEvans

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
GarethEvansGarethEvans

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
GarethEvansGarethEvans

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.
Times Tables Practice
GarethEvansGarethEvans

Times Tables Practice

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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.
Measuring Shapes 2
GarethEvansGarethEvans

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 ๐œ‹. 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) Pythagorasโ€™ Theorem (2-D): The hypotenuse of a right-angled triangle. Pythagorasโ€™ 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
GarethEvansGarethEvans

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.
Measuring Shapes 5
GarethEvansGarethEvans

Measuring Shapes 5

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A year 11 unit of work covering the following topics: (1) 3โ€“D Trigonometry: 2โ€“D Trigonometry (Revision). 3โ€“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.
Measuring Shapes 4
GarethEvansGarethEvans

Measuring Shapes 4

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A year 11 unit of work covering the following topics. (1) Congruent Shapes: Recognising congruent shapes. Congruent triangles proofs. (2) Angles in Polygons: The interior angles of a polygon. The exterior angles of a polygon. Tessellations. (3) Circle Theorems: Intermediate tier circle theorems. Higher tier circle theorems. (4) Transformations: Translation. Rotation. Reflection. Enlargement. Combinations.
The End of Year 8
GarethEvansGarethEvans

The End of Year 8

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A year 8 unit containing the following topics. (1) Directed Numbers: Ordering Directed Numbers. โ€˜Less thanโ€™ and โ€˜More thanโ€™. 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.
Measuring Shapes 1
GarethEvansGarethEvans

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.
Developing Algbera 1
GarethEvansGarethEvans

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 ๐‘›th 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.
Working with Money
GarethEvansGarethEvans

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.
Powers and Roots
GarethEvansGarethEvans

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 ๐‘ฅ โ‰ฅ 1 in standard form. Writing numbers 0 < ๐‘ฅ < 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 ๐‘ฆ = ๐‘Ž๐‘ฅยฒ + ๐‘. Graphical method of solving equations of the form ๐‘ฅยฒ + ๐‘Ž๐‘ฅ + ๐‘ = 0. Other graphs.
Revision Cards for WJEC Mathematics
GarethEvansGarethEvans

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 authorโ€™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.