Y8 Remote Learning - Maths


Armfield Academy – Department - Mathematics

Year 8 Curriculum Overview

**Note: Objectives in blue are additional higher content for extension**

Home Learning is completed using Hegarty Maths. A Home Support guide can be found HERE.

 

Half Term 1

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 02/09

Four Operations with Directed Number

  • Addition and subtraction involving negative numbers
  • Addition and subtraction of directed numbers

(+- and --)

  • Multiplication and Division of directed numbers
  • Using a calculator for directed number calculations
  • Understand and evaluate squared and cubed numbers
  • Understand that positive numbers have more than one square root
  • Use the order of operations including directed number, squared, cubed and roots

37 - Comparing negative numbers

39 - Adding negative numbers

40 – Subtracting negative numbers

41 – Adding and subtracting positive and negative numbers

 

WC 07/09

42 – Multiplying positive and negative numbers

43 – Dividing positive and negative numbers

100 – Cube numbers

101 – Square and cube roots

 

WC 14/09

Addition and Subtraction of Fractions

  • Represent mixed numbers and improper fractions in different ways
  • Convert a mixed number to an improper fraction
  • Convert an improper fraction to a mixed number
  • Add and subtract fractions where denominators share a simple common multiple
  • Add and subtract fractions with any denominator
  • Add and subtract improper fractions and mixed numbers (H)
  • Add and subtract fractions and decimals (H)

63 – Improper fractions to mixed numbers

64 – Mixed numbers to improper fractions

65  - Add and subtract fractions (same denominator)

66 – Add and subtract fractions (different denominators)

 

WC 21/09

Geometry

  • Solve problems using the area of rectangles and parallelograms
  • Solve problems using the area of triangles
  • Solve problems using the area of trapezia (H)
  • Understand and use letter and labelling conventions including those for geometric figures
  • Draw and measure line segments including geometric figures
  • Understand angles as a measure of turn
  • Measure angles up to 180°
  • Draw angles up to 180°
  • Draw and measure angles between 180°and 360°

 

  • Understand and use the sum of angles at a point
  • Understand and use the sum of angles on a straight line
  • Understand and use the equality of vertically opposite angles
  • Know and apply the sum of angles in a triangle
  • Know and apply the sum of angles in a quadrilateral
  • Solve angle problems using properties of triangles and quadrilaterals
  • Solve complex angle problems

 

554 - Rectangles

556 - Parallelograms

557 - Triangles

559 – Trapezia (H)

 

456 – Naming sides and angles

 

 

WC 28/09

812 – Angles around a point (1)

813 - Angles around a point (2)

477 – Angles on a straight line (1)

478 - Angles on a straight line (2)

480 – Vertically opposite angles

 

 

WC 05/10

Probability and Sets

  • Know and use the vocabulary of probability
  • Understand the probability scale
  • Generating sample spaces for single events
  • Calculate the probability of a single event
  • Know the sum of probabilities of all possible outcomes is 1
  • Identify and represent sets
  • Interpret and create Venn Diagrams
  • Understand and use the union of sets
  • Begin to find the probability using Venn diagrams

349 – Express probability in words

350 – Express probability in numbers

351 – Probability of single events

370 – Listing elements in a set

372 – Displaying sets in a Venn diagram

 

WC 12/10

Prime Number and Proof

  • Identify factors of a number
  • Identify multiples of a number
  • Find the HCF, LCM of two numbers
  • Write a number as a product of its prime factors

27 – Factors of a number

33 – Multiple of a number

31 - HCF

34 - LCM

28 – Prime numbers

29 – Prime factorisation

 

Half Term 2

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 02/11

Ratio and Scale

  • Understand ratio and its link to multiplication
  • Circumference of a circle
  • Use ratio notation
  • Reduce ratios to simplest form
  • Solve ratio problems
  • Ratio in the form 1:n
  • Comparing ratios

329 – Simplify Ratios

331 – Write ratios in the form 1:n or n:1

332 – Share in a given ratio

333 – Share in a given ratio

334 – Share in a given ratio

335 – Harder problems involving ratios

330 – Write ratios as fractions/proportions

 

WC 09/11

 

WC 14/09

 

WC 21/09

Multiplicative Change

  • Use scale factors, linking to ratio, to solve simple directional proportion problems

Scale diagrams and maps

339 to 341 – Direct proportion

739 to 740 – Recipe problems

864 to 868 Scale diagrams

608 to 610 Similar polygons

611 to 613 Similar triangles

712 to 713 Conversion graphs

707 to 708 Converting currency

 

 

WC 28/09

 

WC 05/10

Multiplying and dividing fractions

  • Multiplying and dividing a fraction by an integer
  • Multiplying and dividing a fraction by a fraction

Multiplying and dividing mixed numbers

67 – Multiply whole number by fractions

68, 69 - Multiplying fractions

70 – Dividing fractions

71 – Reciprocal of fractions

172 – Expressions with algebraic fractions

 

Half Term 3

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 04/01

 

 

 

  • Multiplying and dividing a fraction by a fraction

Multiplying and dividing mixed numbers (H)

 

Working in a Cartesian plane

  • Plotting and interpreting straight line graphs
  • Equations of lines parallel to the axes
  • Model situations by translating them into expressions, formulae and graphs
  • Find the equation of a straight line (H)
  • Find the mid-point of a line segment (H)
  • Find the gradient of a line segment (H)
  • Drawing quadratic graphs (H)

70 – Dividing fractions

71 – Reciprocal of fractions

172 – Expressions with algebraic fractions

 

199 – Cartesian axes and coordinates

205 – Drawing line graphs from coordinates

 

206 - 208 – Straight line graphs

 

200 – midpoint of a line segment

201 – Gradient of a line segment

251 – Drawing quadratic graphs from a table

 

WC 11/01

 

WC 18/01

 

WC 25/01

Collecting and Representing data

  • Scatter graphs and correlation (and line of best fit)
  • Listing outcomes

 

  • Read, interpret and collect data in frequency tables

 

 

  • Represent and interpret data in two way tables

 

453 – Scatter Diagrams (1)

454 – Scatter Diagrams (2)

 

401 - Data collection sheets (tally charts)

402 - Grouped frequency tables (discrete)

403 - Grouped frequency tables (continuous)

 

422  - Two way tables

 

WC 01/02

 

WC 08/02

Probability (Further)

  • Sample space diagrams
  • Probabilities from two way tables
  • Probabilities from venn diagrams
  • Product rule for number of outcomes (H)

 

358 - 359 - Probability of more than one event

423 - 424 - Two way tables

383 - 384 - Venn diagrams for probability (1) and (2)

extension: 385 - Venn diagrams for probability (3)

671 - 672 - Product rule for counting

 

 

Half Term 4

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 22/02

Probability (Further)

  • Sample space diagrams
  • Probabilities from two way tables
  • Probabilities from venn diagrams
  • Product rule for number of outcomes (H)

 

358 - 359 - Probability of more than one event

423 - 424 - Two way tables

383 - 384 - Venn diagrams for probability (1) and (2)

extension: 385 - Venn diagrams for probability (3)

671 - 672 - Product rule for counting

 

 

WC 01/03

Brackets, equations and inequalities

  • Forming and using expressions, formulae and identities
  • Multiplying out single brackets
  • Factorise into a single bracket
  • Forming and solving equations and inequalities, with and without brackets

 

 

 

 

 

 

 

  • Solving equations with unknowns on both sides
  • Expanding binomials

 

151 - 153 - Writing algebraic expressions (1) (2) and (3)

154 - Expressions, equations, identities and formulae

160 - Expand a single bracket

161 - Expand two single brackets & simplify

168 - 169 - Factorise simple expressions (1) and (2)

176 - Forming equations

177 - Solve equations using inverse operations

178 - Solve 1 step equations (balance method)

179 - Solve 2 step equations (involving multiplication)

180 - Solve 2 step equations (involving division)

182 - Solve 2 step equations (x negative)

183 - Solve 3 step equations

188 - Set-up & solve equations (in context)

 

184 - Solve equations with x on both sides 1

162 - Expand double brackets 1

 

WC 08/03

 

WC 15/03

 

WC 22/03

Sequences

  • Generating a sequence given a rule in simple algebraic form
  • Finding the rule for nth term of a linear sequence

 

197 - Linear sequences (term-to-term rule)

 

198 - Linear sequences (nth term)

 

Half Term 5

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 12/04

Indices

  • Writing expressions with powers

 

 

WC 19/04

Fractions and Percentages

  • Revisit Fraction, Decimal and Percentage equivalence
  • One number as a percentage of another
  • Finding the original given any percentage

 

 

WC 26/04

 

 

WC 03/05

Standard Index Form

  • Conversion between numbers in ordinary and standard form
  • Comparing numbers in standard form
  • Calculating with standard form
  • Negative and simple fractional indices

 

 

WC 10/05

 

 

WC 17/05

Number Sense

  • Developing mental strategies
  • Measure and units
  • Estimation, including rounding to a given number of decimal places
  • Revisit order of operations
  • Simple surds
  • Converting area units
  • Error interval notation
  • Developing mental strategies
  • Measure and units
  • Estimation, including rounding to a given number of decimal places
  • Revisit order of operations
  • Simple surds
  • Converting area units

Error interval notation

 

 

 

WC 24/05

 

 

Half Term 6

 

Date

Curriculum Overview

Home Learning

Hegarty Maths Video and Quiz Numbers

 

WC 07/06

Angles in parallel lines and polygons

  • Angles in parallel lines
  • Angles in special quadrilaterals
  • Angles in polygons
  • Standard constructions including perpendicular

Diagonal properties of quadrilaterals

 

 

WC 14/06

 

 

WC 21/06

 

 

WC 28/06

Area of trapezia and circles

  • Area of a trapezium
  • Area of a circle and parts of a circle
  • Using significant figures

Area of compound shapes

 

 

WC 05/07

 

 

WC 12/07

Line symmetry and reflection

  • Line symmetry in polygons and other shapes

Reflection of shapes in horizontal, vertical and diagonal lines