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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

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Secondary Mathematics Resources.

A year 11 unit of work covering the following topics:
(1) 3βD Trigonometry: 2βD Trigonometry (Revision). 3βD 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.

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 π₯ = π. Horizontal lines of the form π¦ = π. General lines of the form π¦ = ππ₯ + π. 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 π₯ = π and π¦ = π. Reflecting shapes in lines of the form π¦ = ππ₯ + π.

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.

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 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 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) 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.

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 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) Pythagorasβ Theorem (2-D): The hypotenuse of a right-angled triangle. Pythagorasβ Theorem. Pythagorean Triples. Proving whether or not a triangle is right-angled.
(6) Scale Drawings: Creating a scale drawing. Interpreting a scale drawing.

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.

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 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.

A year 8 unit containing the following topics.
(1) Directed Numbers: Ordering Directed Numbers. βLess thanβ and βMore thanβ. 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 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.

A year 9 unit of work covering the following topics:
(1) Linear Nth Term: Terms of a sequence. Finding the πth 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) 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 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 π₯ β₯ 1 in standard form. Writing numbers 0 < π₯ < 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 π¦ = ππ₯Β² + π. Graphical method of solving equations of the form π₯Β² + ππ₯ + π = 0. Other graphs.

A set of revision cards for the WJEC Numeracy and Mathematics specifications.
The cards correspond to the 30 workbooks available for free in the authorβs 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.

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.

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 π₯ = π and π¦ = π. Revising plotting graphs of the form π¦ = ππ₯ + π. Plotting graphs of the form ππ₯ + ππ¦ + π = 0. Shading Regions.