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.
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
Aim: Percentage 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 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
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
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
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
