**Math:** **AGES 13-14**

## Month 1

Aim:

use integer powers and associated real roots (square, cube and higher), recognise powers of 2, 3, 4, 5 and distinguish between exact representations of roots and their decimal approximations

Resources:

https://www.khanacademy.org/math/pre-algebra/exponents-radicals

Geometry and Measures

Aim:

describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric

Resources:

https://www.khanacademy.org/math/basic-geo/basic-geo-lines

https://www.khanacademy.org/math/basic-geo/basic-geo-angles

https://www.khanacademy.org/math/basic-geo/basic-geo-shapes

http://www.bbc.co.uk/education/guides/z8w2pv4/revision

## Month 2

Aim:

work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 2 7 or 0.375 and 8 3 )

Resources:

http://www.bbc.co.uk/education/topics/zsxhfg8

http://www.bbc.co.uk/education/topics/zh7xpv4

https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg

Probability

Aim:

enumerate sets and unions/intersections of sets systematically, using tables, grids and Venn diagrams

Use the resources below to explore these concepts:

Resources:

Unions and intersections

https://www.khanacademy.org/math/probability/independent-dependent-probability/addition_rule_probability/v/probability-with-playing-cards-and-venn-diagrams

## Month 3

Aim:

define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100% interpret fractions and percentages as operators

Resources and Activity:

https://www.khanacademy.org/math/pre-algebra/decimals-pre-alg/percent-intro-pre-alg/v/describing-the-meaning-of-percent

http://www.bbc.co.uk/education/topics/zf6pyrd

http://www.bbc.co.uk/education/topics/z79d7ty

Write down three important rules or understandings about percentage and share it with someone.

Statistics

Aim:

construct and interpret appropriate tables, charts, and diagrams, including frequency tables, bar charts, pie charts, and pictograms for categorical data, and vertical line (or bar) charts for ungrouped and grouped numerical data

**Activity:**

Use this link and click on each type of graph or chart. Draw an example of each on a piece of paper and share them with someone.

Use this link and click on each type of graph or chart. Draw an example of each on a piece of paper and share them with someone.

## Month 4

Aim:

model situations or procedures by translating them into algebraic expressions or formulae and by using graphs

Use the resource below to explore this concept:

https://www.khanacademy.org/math/algebra-basics/core-algebra-expressions

Geometry and Measures

Aim:

use the standard conventions for labelling the sides and angles of triangle ABC, and know and use the criteria for congruence of triangles derive and illustrate properties of triangles, quadrilaterals, circles, and other plane figures [for example, equal lengths and angles] using appropriate language and technologies

Use the resource below to explore this concept:

https://www.khanacademy.org/math/basic-geo/basic-geo-shapes/basic-geo-finding-angles/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180

## Month 5

Aim:

use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

Use the resource below to explore this concept:

https://www.khanacademy.org/math/algebra/one-variable-linear-equations

Problem Solving

Use the resource below to explore this concept using word problems:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems/v/solving-percent-problems-2

Aim:

use algebraic methods to solve linear equations in one variable (including all forms that require rearrangement)

Use the resource below to explore this concept:

https://www.khanacademy.org/math/algebra/one-variable-linear-equations

Problem Solving

**Aim:**Percentage Problem SolvingUse the resource below to explore this concept using word problems:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-percent-word-problems/v/solving-percent-problems-2

## Month 6

Aim:

recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane

Use the resource below to explore graphs:

https://www.youtube.com/watch?v=mxBoni8N70Y

Problem Solving

Aim:Word problems with decimals

Use the resource below to explore word problems with decimals:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs/v/multistep-word-problems-example-1

recognise, sketch and produce graphs of linear and quadratic functions of one variable with appropriate scaling, using equations in x and y and the Cartesian plane

Use the resource below to explore graphs:

https://www.youtube.com/watch?v=mxBoni8N70Y

Problem Solving

Aim:Word problems with decimals

Use the resource below to explore word problems with decimals:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-fractions-decimals/cc-7th-multistep-word-probs/v/multistep-word-problems-example-1

## Month 7

Aim:

interpret mathematical relationships both algebraically and graphically

Watch the video below to explore this concept:

https://www.youtube.com/watch?v=qGmJ4F3b5W8

Geometry and Measures

Aim:

identify properties of, and describe the results of, translations, rotations and reflections applied to given figures

Use the resources below to explore these concepts:

Resources:

http://www.bbc.co.uk/education/topics/z3pfb9q

http://www.bbc.co.uk/education/topics/zbnygk7

## Month 8

Aim:

reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Handling Data

Statistical and nonstatistical information

https://www.khanacademy.org/math/in-seventh-grade-math/seventh-data-handling/collecting-data/v/statistical-questions

reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Handling Data

Statistical and nonstatistical information

https://www.khanacademy.org/math/in-seventh-grade-math/seventh-data-handling/collecting-data/v/statistical-questions

## Month 9

Aim:

use scale factors, scale diagrams and maps

Use the resource below to explore these concepts:

https://www.khanacademy.org/math/basic-geo/basic-geo-area-perimeter/basic-geo-scale-drawings/v/scale-drawing-example-2

Problem Solving

Aim:

Real life application of Maths

Use the resources below to explore real life applications of mathematics:

Resources:

http://www.bbc.co.uk/education/topics/zcf3cdm

http://www.bbc.co.uk/education/topics/zjckjxs

## Month 10

Aim:

divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio

Use the resource below to explore these concepts:

https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/introduction-to-ratios-new-hd-version

Geometry and Measures

Aim:

identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids

Aim:

apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles

Use the resource below to explore these concepts:

https://www.youtube.com/watch?v=kYRMXvR6vPM

divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio

Use the resource below to explore these concepts:

https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/introduction-to-ratios-new-hd-version

Geometry and Measures

Aim:

identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids

Aim:

apply the properties of angles at a point, angles at a point on a straight line, vertically opposite angles

Use the resource below to explore these concepts:

https://www.youtube.com/watch?v=kYRMXvR6vPM

## Month 11

Aim:

understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction

use the resources below to explore ratios and fractions:

Resources:

http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8_7.pdf

http://www.bbc.co.uk/education/topics/zxw76sg

Triangle Lines and Angles

Use the resources below to explore geometry:

Resources:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180

understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction

use the resources below to explore ratios and fractions:

Resources:

http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8_7.pdf

http://www.bbc.co.uk/education/topics/zxw76sg

**Aim:**Triangle Lines and Angles

Use the resources below to explore geometry:

Resources:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-triangle-angles/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180

## Month 12

Aim:

Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions

Use the

**resource**below to explore:

https://www.youtube.com/watch?v=UK-_qEDtvYo

Aim:

Lines and Angles

Use the

**resource**below to explore:

https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines