22
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Foundation
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Find the mean, median, mode and range from a list of numbers
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Stem and leaf diagrams
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Higher
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Fractions
Adding and subtracting fractions < 1
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Adding mixed numbers
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Subtracting mixed numbers
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Mixed fraction addition and subtraction problems
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Multiplying a fraction by an integer
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Multiplying a fraction by a fraction
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Dividing a fraction by an integer
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Dividing a fraction by a fraction
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23
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Foundation
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Mean from a frequency table
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Mean from a grouped frequency table
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Interpret timetables and distance tables
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Higher
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Ratios
Simplifying ratios
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Divide a quantity in a given ratio
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Find a part given a part
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Find the total or difference given a part
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Ratio and fractions
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24
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Foundation
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Design and interpret two-way tables
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Plot and interpret time-series graphs
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Draw and interpret pie charts
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Higher
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Ratio and proportion
Compare the cost of two items using the unitary method
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Using direct proportion graphs
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Proportion problems
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25
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Foundation
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Plot a scatter graph and describe correlation
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Identify and explain outliers from a scatter diagram
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Use a line of best fit on a scatter graph
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Draw and interpret a frequency tree
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Higher
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Percentages
Increase and decrease an amount by a percentage
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Calculate percentage change
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Reverse percentages
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Simple interest
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26
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Foundation
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Equivalent Fractions
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Simplifying Fractions
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Higher
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FDP and recurring decimals
Write a fraction as a recurring decimal using division
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Recurring decimals where one number repeats
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Recurring decimals where 2 or more numbers repeat
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Recurring decimals where one number after the decimal point is fixed and the others repeat
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27
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Foundation
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Comparing two fractions
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Ordering three or more fractions
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Adding and subtracting fractions < 1
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Higher
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Angles properties of triangles and quadrilaterals
Find missing angles in a triangle
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Find missing angles in a quadrilateral
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Find missing angles in a special quadrilateral
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28
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Foundation
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Adding mixed numbers
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Subtracting mixed numbers
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Mixed fraction addition and subtraction problems
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Higher
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Angles of a polygon
Finding the sum of interior angles in a polygon
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Find the number of sides when given the sum of interior angles
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Find missing angles when two or more polygons are joined
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Find missing exterior angles
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Solve problems involving exterior angles
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Find missing exterior angles of polygons
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29
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Foundation
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Multiplying a fraction by an integer
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Multiplying a fraction by a fraction
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Dividing a fraction by an integer
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Dividing a fraction by a fraction
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Higher
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Pythagoras’ theorem
Know and Understand Pythagoras' theorem
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Find the length of the hypotenuse
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Find the length of the shorter side
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Mixture of Finding a Missing Length
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Use Pythagoras' theorem to show that a triangle is right-angled
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30
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Foundation
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Fraction of an amount
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Increasing and decreasing by a fraction of an amount
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Higher
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Trigonometry
Know tangent, sine and cosine
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Use tangent to find a length
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Use sine and cosine to find a length
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Applying Trigonometry
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Solve basic trigonometry equations
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Use inverse functions to find an angle
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Solve problems mixing angles and sides
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Know the trigonometry ratios for 0°, 30°, 45°, 60° and 90°
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Substitute the exact values to find a missing length
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31
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Foundation
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Find the whole when given a fraction of an amount
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Application of fraction of an amount skills
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Simple percentages without a calculator
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Higher
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Linear graphs
Find the gradient of a line
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Find the equation of a straight line using y=mx+c
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Find the intercept and gradient from a line given in any form
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Using gradient to solve problems with parallel lines
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32
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Foundation
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Decimal multiplier method to find percentages of an amount
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Fractions greater than 1 and percentages above 100%
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Express one number as a fraction or percentage of another without a calculator
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Higher
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Distance-time and velocity-time graphs
Distance-time graphs
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Calculate speed from distance time-graphs
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Velocity-time graphs
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Acceleration from a velocity-time graph
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33
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Foundation
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Increase and Decrease an Amount by a Percentage
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Calculate Percentage Change
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Reverse Percentages
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Simple Interest
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Higher
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Real life graphs and proportion
Interpret gradient and intercept on real life graphs
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34
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Foundation
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Repeated percentage increase
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Repeated percentage decrease
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Higher
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Line segments and parallel/perpendicular lines
Write the equation of a straight line if parallel to a line and passing through (0,n)
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Write the equation of a straight line if parallel to a line and passing through any point
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Find the equation of a straight line through two given points
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Use Pythagoras’ theorem to find the length of a line segment
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35
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Foundation
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Repeated percentage increase and decrease
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Solve problems with repeated percentage change
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Change percentages to fractions and decimals
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Higher
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Quadratic, cubic and reciprocal graphs
Plot simple quadratic equations
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Plot other quadratic equations
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Solving Quadratic Equations Graphically
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Draw graphs of simple cubic functions using a table of values
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Interpret graphs of simple cubic functions, including finding solutions to cubic equations
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Recognise, draw, sketch and interpret graphs of the reciprocal function y = 1/x
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