22

Foundation

Find the mean, median, mode and range from a list of numbers

Stem and leaf diagrams


Higher

Fractions
Adding and subtracting fractions < 1

Adding mixed numbers

Subtracting mixed numbers

Mixed fraction addition and subtraction problems

Multiplying a fraction by an integer

Multiplying a fraction by a fraction

Dividing a fraction by an integer

Dividing a fraction by a fraction


23

Foundation

Mean from a frequency table

Mean from a grouped frequency table

Interpret timetables and distance tables


Higher

Ratios
Simplifying ratios

Divide a quantity in a given ratio

Find a part given a part

Find the total or difference given a part

Ratio and fractions


24

Foundation

Design and interpret twoway tables

Plot and interpret timeseries graphs

Draw and interpret pie charts


Higher

Ratio and proportion
Compare the cost of two items using the unitary method

Using direct proportion graphs

Proportion problems


25

Foundation

Plot a scatter graph and describe correlation

Identify and explain outliers from a scatter diagram

Use a line of best fit on a scatter graph

Draw and interpret a frequency tree


Higher

Percentages
Increase and decrease an amount by a percentage

Calculate percentage change

Reverse percentages

Simple interest


26

Foundation

Equivalent Fractions

Simplifying Fractions


Higher

FDP and recurring decimals
Write a fraction as a recurring decimal using division

Recurring decimals where one number repeats

Recurring decimals where 2 or more numbers repeat

Recurring decimals where one number after the decimal point is fixed and the others repeat


27

Foundation

Comparing two fractions

Ordering three or more fractions

Adding and subtracting fractions < 1


Higher

Angles properties of triangles and quadrilaterals
Find missing angles in a triangle

Find missing angles in a quadrilateral

Find missing angles in a special quadrilateral


28

Foundation

Adding mixed numbers

Subtracting mixed numbers

Mixed fraction addition and subtraction problems


Higher

Angles of a polygon
Finding the sum of interior angles in a polygon

Find the number of sides when given the sum of interior angles

Find missing angles when two or more polygons are joined

Find missing exterior angles

Solve problems involving exterior angles

Find missing exterior angles of polygons


29

Foundation

Multiplying a fraction by an integer

Multiplying a fraction by a fraction

Dividing a fraction by an integer

Dividing a fraction by a fraction


Higher

Pythagoras’ theorem
Know and Understand Pythagoras' theorem

Find the length of the hypotenuse

Find the length of the shorter side

Mixture of Finding a Missing Length

Use Pythagoras' theorem to show that a triangle is rightangled


30

Foundation

Fraction of an amount

Increasing and decreasing by a fraction of an amount


Higher

Trigonometry
Know tangent, sine and cosine

Use tangent to find a length

Use sine and cosine to find a length

Applying Trigonometry

Solve basic trigonometry equations

Use inverse functions to find an angle

Solve problems mixing angles and sides

Know the trigonometry ratios for 0°, 30°, 45°, 60° and 90°

Substitute the exact values to find a missing length


31

Foundation

Find the whole when given a fraction of an amount

Application of fraction of an amount skills

Simple percentages without a calculator


Higher

Linear graphs
Find the gradient of a line

Find the equation of a straight line using y=mx+c

Find the intercept and gradient from a line given in any form

Using gradient to solve problems with parallel lines


32

Foundation

Decimal multiplier method to find percentages of an amount

Fractions greater than 1 and percentages above 100%

Express one number as a fraction or percentage of another without a calculator


Higher

Distancetime and velocitytime graphs
Distancetime graphs

Calculate speed from distance timegraphs

Velocitytime graphs

Acceleration from a velocitytime graph


33

Foundation

Increase and Decrease an Amount by a Percentage

Calculate Percentage Change

Reverse Percentages

Simple Interest


Higher

Real life graphs and proportion
Interpret gradient and intercept on real life graphs


34

Foundation

Repeated percentage increase

Repeated percentage decrease


Higher

Line segments and parallel/perpendicular lines
Write the equation of a straight line if parallel to a line and passing through (0,n)

Write the equation of a straight line if parallel to a line and passing through any point

Find the equation of a straight line through two given points

Use Pythagoras’ theorem to find the length of a line segment


35

Foundation

Repeated percentage increase and decrease

Solve problems with repeated percentage change

Change percentages to fractions and decimals


Higher

Quadratic, cubic and reciprocal graphs
Plot simple quadratic equations

Plot other quadratic equations

Solving Quadratic Equations Graphically

Draw graphs of simple cubic functions using a table of values

Interpret graphs of simple cubic functions, including finding solutions to cubic equations

Recognise, draw, sketch and interpret graphs of the reciprocal function y = 1/x

