Math: AGES 15-16
Month 1
Aim:
interpret and compare numbers in standard form A x 10n 1≤A<10, where n is a positive or negative integer or zero
Use the resources below to explore these concepts:
Resources:
https://www.khanacademy.org/math/pre-algebra/exponents-radicals/scientific-notation/v/scientific-notation-old
Geometry and Measures
Aim:
understand and use the relationship between parallel lines and alternate and corresponding angles
Aim:
derive and use the sum of angles in a triangle and use it to deduce the angle sum in any polygon, and to derive properties of regular polygons
Use the resources to explore these concepts:
Resources:
http://www.bbc.co.uk/education/topics/z93rkqt
http://www.bbc.co.uk/education/guides/zrck7ty/revision
http://www.bbc.co.uk/education/guides/zk8j6sg/revision
https://www.khanacademy.org/math/basic-geo/basic-geo-angles/basic-geo-angle-relationships/v/complementary-and-supplementary-angles
Month 2
Aim:
use inequality notation a<x≤b
https://www.khanacademy.org/math/algebra-basics/alg-basics-linear-equations-and-inequalities/alg-basics-multi-step-inequalities/v/multi-step-inequalities
http://www.bbc.co.uk/schools/gcsebitesize/maths/algebra/inequalitiesrev2.shtml
Use the resource below to explore this concept:
Resources:
Probability
Aim:
generate theoretical sample spaces for single and combined events with equally likely, mutually exclusive outcomes and use these to calculate theoretical probabilities.
Use the resource below to explore this concept:
Resources:
https://www.khanacademy.org/math/probability/independent-dependent-probability/basic_probability/a/probability-the-basics
Month 3
Aim:
appreciate the infinite nature of the sets of integers, real and rational numbers.
Use the resources below to explore these concepts:
Resources:
https://www.khanacademy.org/math/pre-algebra/fractions-pre-alg/number-sets-pre-alg/v/number-sets
(not 1 month)
Statistics
Aim:
describe simple mathematical relationships between two variables (bivariate data) in observational and experimental contexts and illustrate using scatter graphs.
Use the resources below to explore these concepts:
Resources:
https://www.khanacademy.org/math/probability/regression
Month 4
Aim:
use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
Use the resource below to explore these concepts:
https://www.youtube.com/watch?v=80l4_VTkyO0
Geometry and Measures
Aim:
apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
Aim:
Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
Use the resource below to explore these concepts:
Resources:
http://www.bbc.co.uk/education/topics/zkbc87h
http://www.bbc.co.uk/education/topics/zvtnvcw
use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations
Use the resource below to explore these concepts:
https://www.youtube.com/watch?v=80l4_VTkyO0
Geometry and Measures
Aim:
apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs
Aim:
Use Pythagoras’ Theorem and trigonometric ratios in similar triangles to solve problems involving right-angled triangles
Use the resource below to explore these concepts:
Resources:
http://www.bbc.co.uk/education/topics/zkbc87h
http://www.bbc.co.uk/education/topics/zvtnvcw
Month 5
Aim:
find approximate solutions to contextual problems from given graphs of a variety of functions, including piecewise linear, exponential and reciprocal graphs
Use the resource below to explore these concepts:
https://www.khanacademy.org/math/algebra/introduction-to-exponential-functions/exponential-growth-and-decay/v/exponential-growth-functions
Problem Solving
Aim: Systems of equations
Use the resource below to explore these concepts:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview/v/trolls-tolls-and-systems-of-equations
Month 6
Aim:
generate terms of a sequence from either a term-to-term or a position-to-term rule recognize arithmetic sequences and find the nth term
Use the resource below to explore sequences:
https://www.khanacademy.org/math/algebra/sequences/introduction-to-arithmetic-squences/v/finding-the-100th-term-in-a-sequence
Problem Solving
Aim: Systems Elimination
Use the resource below to explore systems elimination:
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-overview/v/king-s-cupcakes-solving-systems-by-elimination
Month 7
Aim:
recognize geometric sequences and appreciate other sequences that arise.
Use the resource below to explore this concept:
https://www.youtube.com/watch?v=pXo0bG4iAyg
Geometry and Measures
Aim:
use the properties of faces, surfaces, edges and vertices of cubes, cuboids, prisms, cylinders, pyramids, cones and spheres to solve problems in 3-D
Use the resource below to explore this concept:
https://www.youtube.com/watch?v=9yU_Q3qtGKo
Month 8
Aim:
solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics
Use the resource below to explore this concept:
Resources:
http://www.bbc.co.uk/education/topics/zq7ncdm
Handling Data
Aim:
Investigating types of data and its purposes.
Aim:
Qualitative and quantitative data
Use the resource below to explore this concept:
Resources:
https://vimeo.com/153644992
Write down a few situations in which a researcher would use quantitative data. Write down a few situations in which a researcher would use qualitative data. Write down a few situations in which a researcher would use both.
Month 9
Aim:
solve problems involving direct and inverse proportion, including graphical and algebraic representations
Use the resource below to explore these concepts:
https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/direct-and-inverse-variation/v/direct-and-inverse-variation
Problem Solving
Aim:
Investigating Shapes in real-life contexts
Use the resource below to explore this concept:
Resources:
http://www.bbc.co.uk/education/topics/zbpfb9q
solve problems involving direct and inverse proportion, including graphical and algebraic representations
Use the resource below to explore these concepts:
https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/direct-and-inverse-variation/v/direct-and-inverse-variation
Problem Solving
Aim:
Investigating Shapes in real-life contexts
Use the resource below to explore this concept:
Resources:
http://www.bbc.co.uk/education/topics/zbpfb9q
Month 10
Aim:
use compound units such as speed, unit pricing and density to solve problems.
Use the resources below to explore these concepts:
Resources:
http://www.bbc.co.uk/education/topics/z28jmp3
http://www.bbc.co.uk/education/topics/zcf3cdm
Geometry and Measures
Aim:
Interpret mathematical relationships both algebraically and geometrically.
Use the resource below to explore these relationships:
https://www.youtube.com/watch?v=Muba9-W2FOQ
Month 11
Aim:
Pythagorean Theory
Use the resource below to review and explore this concept:
Pythagorean Theory Review
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem
Pythagorean Proof Review
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs/v/garfield-s-proof-of-the-pythagorean-theorem
Pythagorean Theory
Use the resource below to review and explore this concept:
Pythagorean Theory Review
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem
Pythagorean Proof Review
https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-proofs/v/garfield-s-proof-of-the-pythagorean-theorem
Month 12
Aim:
Review all number targets
Go back through any lessons you have trouble with and review.
Or, look on this website for more to try
http://www.analyzemath.com/middle_school_math/grade_8/problems.html
Review all number targets
Go back through any lessons you have trouble with and review.
Or, look on this website for more to try
http://www.analyzemath.com/middle_school_math/grade_8/problems.html