Y8 Higher (82)
Topic
Graphs
Conversion Graphs
Graphs and Rules
AT/Level
4/5
4/5
Time
3/5
Travel Graphs
4/5
Arithmetic
Powers and Roots
2/4-6
Mental Maths
2/4
Estimation
2/7
Statistics
Diagrams and
Charts
Pie Charts
Questionnaires
4/5
4/6
4/4-7
Page 1 Chapters 1 to 3
Detail
Use a conversion graph correctly
Complete a table from a rule and draw a graph from the table. Use the
graph to find values.
Convert from mins to hours and mins. Find journey times. Use a calculator
to work out times.
Draw and interpret travel graphs
Round numbers correct to 1 dp. Work out squares and square roots. Use a
calculator for higher powers.
Add and subtract two digit numbers mentally. Know tables to 12 x 12 and
the associated divisions. Be able to do two-stage calculations. E.g. x24 is
the same as x6 then x4.
Round to the nearest power of 10. Round to 1 sig fig. Use rounded
numbers to estimate calculations. Estimate square roots of numbers to 100.
Time(approx)
HW…Sheet 1:1
3 weeks
HW…Sheet 1:2
HW…Sheet 1:3
HW…Sheet 1:4
HW…Sheet 2:1
2 weeks
HW…Sheet 2:3
HW…Sheet 2:4
Interpret and draw bar-charts, pictograms. Interpret a pie chart. Construct a
tally table and group discrete data.
Construct a pie chart
Design a questionnaire with regard to biased, personal or leading questions.
Make sure that the questions can be easily answered and the results easily
read. Carry out their own survey and analyse the results.
Resources
HW…Sheet 3:1
3 weeks
HW…Sheet 3:4
HW…Sheet 3:5
IT… Use of spreadsheet
Y8 Higher (82)
Topic
Algebra
Number Patterns
Inverses
Substitution
Transformations
Reflection
Translation
AT/Level
2/5
2/6
2/7
3/4
3/4
Rotation
3/4
Enlargement
3/6
Negative Numbers
Revision
Rules
Using negative
numbers
Page 2 Chapters 4 to 6
Detail
Find a rule then a formula for a number pattern. Use a formula.
Find the inverse to a formula. Solve simple liear equations
Use index notation and substitute numbers into formulas
Reflect a shape in a given horizontal , vertical or diagonal mirror line.
Reflect 3-D shapes.
Translate a shape a given number of squares vertically and horizontally.
Rotate a shape through ½ or a ¼ turn clockwise or anticlockwise.
Create a shape with a given order of rotational symmetry.
Enlarge a shape from a given centre of enlargement by a given scale factor.
2/5
Use an extended number line. Solve practical problems. Use < and > signs
correctly with negative numbers. Enter negative numbers on a calculator.
Be able to add, subtract, multiply and divide directed numbers
2/<8
Substitute directed numbers into formulas and expressions
2/5
Time(approx)
2 weeks
Resources
HW…Sheet 4:1
HW…Sheet 4:2
HW…Sheet 4:3
HW…Sheet 5:1
HW…Sheet 5:2
2 weeks
HW…Sheet 5:3
HW…Sheet 5:4
HW…Sheet 6:1
2 weeks
HW…Sheet 6:2
HW…Sheets 6:3,4
Y8 Higher (82)
Topic
Angles
AT/Level
Revision
3/5
Parallel Lines
3/6
Polygons
3/6
Bearings
3/6
Probability
Revision
Add to 1
4/5
4/6
Notation
4/5
Sample Spaces
4/6
Percentages and
Fractions
Simple percentages
Calculators
Fractions
2/5
2/6
2/6
Page 3 Chapters 7 to 9
Detail
Acute, obtuse and reflex angles. Estimation and drawing of acute and
obtuse angles. Calculation of angles at a point and on a straight line.
Finding opposite angles. Calculating angles in triangles including isosceles
and equilateral.
Find angles made by an intercept on parallel lines. Know the terms
alternate, corresponding and interior when referring to angles. Calculate
angles in parallelograms, trapeziums and rhombuses.
Identify common polygons and calculate the sum of their interior angles.
Decide whether shapes will tessellate.
Use three figure bearing. Give the bearing of A from B given the bearing of
B from A.
Show probabilities on a scale. Express probabilities as a fraction. Calculate
the expected number of outcomes.
Know that the probabilities of mutually exclusive events add to 1
Use the notation P(A). Calculate the probability of an event not happening
i.e. P(not A) = 1 P(a).
List all possible events in a table
Calculate 10% mentally and use it to calculate 20%, 30%, etc.
Calculate 50% and use it to calculate 25%. Use 10% to calculate 5%
Use 10% and 5% to calculate 15%, 35%, etc.
Use a calculator to find percentages of amounts. Change fractions and
decimals to percentages.
Find a fraction of an amount. Use the fraction key on a calculator. Convert
between fractions, decimals and percentages.
Time(approx)
Resources
HW…Sheet 7:1
3 weeks
HW…Sheet 7:2
HW…Sheet 7:3
HW…Sheet 7:4
HW…Sheet 8:1
2 weeks
HW…Sheet 8:2
HW…Sheet 8:3
HW…Sheet 8:4
HW…Sheet 9:1
2 weeks
HW…Sheet 9:2
HW…Sheet9:3,4.
Y8 Higher (82)
Topic
Graphs
Straight Lines
AT/Level
2/5
Equations
2/6
Ratio
Metric System
Ratio
Proportion
3/5
2/<6
Maps and Scales
2/6
3/6
Area
Revision
Trapezium
Enlargement
3/6
3/6
3/6
Page 4 Chapters 10 to
Detail
Recognise and name vertical and horizontal lines on a grid.
Find points of intersection of lines on the grid.
Draw graphs of the kind, y = mx, y = x + c. Recognise which equation
gives the steepest line. Recognise where the line y = x + c crosses the y
axis. Recognise parallel lines from their equations.
Find the equation of a given straight line and a line parallel to it.
Convert between metric units and from common imperial units to metric.
Write in figures a ratio given in words.
Alter amounts in given proportions. Simplify ratios and divide an amount
into a given ratio.
Convert scales into the form 1 : n. Convert map distances into actual
distances and vice versa.
Find the perimeter of a shape. Find the area of a rectangle, triangle and
parallelogram. Estimate the area of an irregular shape by square counting/
Find the area of a trapezium and compound shapes involving trapeziums.
Appreciate that if a shape is enlarged by a factor x its area is enlarged by a
factor x2. Also use the reverse of this.
Time(approx)
Resources
HW…Sheet 8:1
2 weeks
HW…Sheets 8:3, 4
HW…Sheet 11:1
HW…Sheet 11:2
2 weeks
HW…Sheet11:3
HW…Sheet 11:4
HW…Sheets 12:1
2 weeks
HW…Sheets 12:2
HW…Sheets 12:3
Y8 Higher (82)
Topic
Statistics
Averages and
Range
Groupings
Frequency
Polygons
Volume
Introduction
Prisms
Inequalities
Trial and
Improvement
Inequalities
Linear inequalities
AT/Level
4/5
4/6
4/6
Page 5 Chapters 13 to 16
Detail
Work out the mean, mode and median of simple discrete data.
Work out the range of discrete data.
Group both discrete and continuous data. Draw bar charts of grouped data.
Decide on suitable group sizes.
Read data from a frequency polygon. Compare two distributions using
frequency polygons. Draw a frequency polygon from discrete and grouped
data.
3/4
3/7
Order containers in order of volume. Estimate the volume of containers.
Find the number of boxes in a stack. Find the volume of a simple cuboid.
Use the formula volume = area of cross-section x length
2/6
Solve an equation by trial and improvement.
2/<7
2/7
Graphs
Lines
More Lines
2/6
2/6
Problems
2/7
Time(approx)
Use a number line, list integer solutions to inequalities. Solve double
inequalities using a number line, listing integer solutions.
Solve simple linear inequalities by using inverses.
Generate coordinates from a table and vice versa. Draw straight lines from
the tables and find points of intersection.
Find coordinates on lines with equations like x + y = c and ax + by = c
Generate a pair of equations from given information. Use straight lines to
solve simultaneous equations.
Resources
HW…Sheets 13:1
2 weeks
HW…Sheets 13:2
HW…Sheets 13:3
1 week
HW…Sheets 14:1,2
HW…Sheets 14:3,4
HW…Sheet 15:1
2 weeks
HW…Sheet 15:2
HW…Sheet 15:4
HW…Sheet 16:1
2 weeks
HW…Sheet 16:3
HW…Sheet 16:4