SAA Curriculum Overview and Knowledge Audit Year 8

Mathematics-Year 8
2016-17
Learning over the year
Subject Contact Information
Autumn Half Term 1:
 Number and the Number System
 Calculating
 Checking, Approximating and Estimating
Head of Maths: Mr B Tanner
Autumn Half Term 2
 Visualising and Constructing
 Understanding Risk
Spring Half Term 1
 Calculating Space
 Measuring and Presenting Data
Spring Half Term 2
 Exploring and Calculating with Fractions ,
Decimals and Percentages
 Algebraic Proficiency 1
[email protected]
Extra-Curricular Links
Useful websites:
www.mathswatchvle.com -maths videos to
explain all topics.
www.tannermaths.co.uk – lots of practice
at the right levels.
Equipment
All students should have a calculator,
pen, pencil, ruler, rubber and
protractor every lesson.
Enrichment links
Summer Half Term 1
 Algebraic Proficiency 2
 Proportional Reasoning
Students will have the opportunity to
enter the Junior Maths Challenge.
Summer Half Term 2
 Investigating Angles
 Investigating Properties of Shapes
 Sequences
There is also the possibility of
attending board game club where
students will learn strategy and logic
skills by playing various games. Some
have a direct mathematical link.
Details of the content and skills to be studied in year 7 can
be found on the separate Curriculum Knowledge Audit.
Homework and assessment
Homework will be set regularly and will generally be consolidation of key skills learnt in class by
completing mathematical exercises. We would encourage students to check their work carefully for
errors and if they are stuck to see their teacher before submission or use the videos on
www.mathswatchvle.com for support
There will be one assessment point each half term which will be a traditional test or an assessed piece
of work such as an investigation or project.
Curriculum Skills and Knowledge Audit – Year 8
Half
Term
Year 8 Expected
On track for Grades 5-1
Mastery Skills
Key Knowledge
Year 8 Exceeding Expected
On Track for Grade 9-4
Mastery Skills
Key Knowledge
Know the place value headings up to millions
Recall primes to 19
HT1
Use positive integer powers and associated real
roots
Know the first 12 square numbers
Apply the four operations with decimal numbers
Know the first 12 triangular numbers
Know the first 6 cube numbers
Apply the four operations with negative numbers
Convert numbers into standard form and vice versa
Know how to write a number as a product of its prime
factors
Know how to round to significant figures
Know the order of operations including powers
Know how to enter negative numbers into a calculator
Know the symbols =, ≠, <, >, ≤, ≥
Know the order of operations including brackets
Know how to measure and write bearings
Know that circumference = 2πr = πd
HT2
Write a quantity as a fraction or percentage of
another
Know the meaning of faces, edges and vertices
Check calculations using approximation,
estimation or inverse operations
Solve problems involving percentage change,
including original value problems
Apply the formulae for circumference and area of a
circle
Know that area of a circle = πr²
Know that volume of prism = area of cross-section ×
length
Know that probability is measured on a 0-1 scale
Know that the sum of all probabilities for a single event
is 1
HT3
Add, subtract, multiply and divide with fractions
and mixed numbers
Calculate surface area of cubes and cuboids
Know how to calculate the range
Know how to work out measures of central
tendency
Convert between terminating decimals and fractions
Know that area of a rectangle = l × w
Know percentage and decimal equivalents for fractions
with a denominator of 3, 5, 8 and 10
Know to use the midpoints of groups to estimate the
mean of a set of grouped data
Know that area of a trapezium = ((a + b) ÷ 2) × h
Know that volume of a cuboid = l × w × h
HT4
Use multiplicative reasoning to interpret
percentage change
Plot and interpret graphs of linear functions
Find a relevant multiplier when solving problems
involving proportion
Understand and use lines parallel to the axes, y = x
and y = -x
Substitute numbers into formulae
HT5
Simplify and manipulate expressions by collecting
like terms
Apply the multiplication, division and power laws of
indices
Know basic algebraic notation
Solve linear equations in one unknown
HT6
Factorise an expression by taking out common factors
Know that a0 = 1
Change the subject of a formula when two steps are
required
Simplify and manipulate expressions by
multiplying a single term over a bracket
Understand and use geometric notation for
labelling angles, lengths, equal lengths and parallel
lines
Know the characteristic shape of a graph of a quadratic
function
Know the names of special triangles and
quadrilaterals
Calculate theoretical probabilities for single events
Find and use the nth term for a linear sequence
Know how to identify alternate angles
Know how to identify corresponding angles
Know how to find the angle sum of any polygon