Download Year 8 - Crawshaw Academy

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Law of large numbers wikipedia , lookup

Approximations of π wikipedia , lookup

Large numbers wikipedia , lookup

History of mathematical notation wikipedia , lookup

Mathematics of radio engineering wikipedia , lookup

History of statistics wikipedia , lookup

Algebra wikipedia , lookup

List of important publications in mathematics wikipedia , lookup

History of algebra wikipedia , lookup

Elementary mathematics wikipedia , lookup

Transcript
YEAR 9: AUTUMN TERM
This is only a guide to when the different topics will be taught and also the length of time given to each topic.
TOPIC
W EEKS
CONTENT
Algebra 1/2
2
Create and describe number patterns.
th
Write a sequence when the rule (n term) has been given.
Find the rule for a sequence.
Draw graphs from equations.
Read from real life graphs.
Draw conversion graphs from the information given.
Number 1
3
Add and subtract fractions by writing them with a common denominator.
Put fractions in order.
Calculate fractions and percentages of quantities.
Divide a whole number by a fraction.
Convert fractions to decimals and percentages.
Write one number as a percentage of another.
Calculate percentage increase and decrease.
Simplify ratios.
Divide a quantity in a given ratio.
Solve problems involving ratio and direct proportion.
Use BIDMAS correctly.
Algebra 3
2
Understand the meaning of the words expression, equation, formula and function.
Substitute numbers into simple expressions and expressions involving small powers.
Solve equations.
Simplify expressions by collecting like terms.
Solve problems involving direct proportion.
Geometry and Measures 1
3
Use the correct vocabulary, notation and labelling with lines, three and four sided shapes.
Identify parallel and perpendicular lines, and, alternate and corresponding angles.
Recognise vertically opposite angles.
Understand congruence.
Calculate the interior and exterior angles of polygons.
Use and understand proof in geometry.
Classify quadrilaterals using their geometric properties.
Constructions using a ruler and compass.
Learn about Loci.
Handling Data 1
2
Decide which data to collect to answer a question, and the degree of accuracy needed.
Identify possible sources and collect data using a suitable method.
Calculate the mean, median, mode and range, including the mean and mode for grouped data.
Construct pie charts, scatter graphs, simple line graphs and frequency diagrams.
Interpret tables and compare distributions.
YEAR 9: SPRING TERM
TOPIC
W EEKS
CONTENT
Geometry and Measure 2
2
Use coordinates in all four quadrants.
Find the middle point of a line.
Use the formula for the area of a triangle, parallelogram and trapezium.
Calculate areas of compound shapes.
Know and use the formula for the volume of a cuboid.
Calculate surface areas of cuboids.
Understand metric and imperial measurement.
Number 2
3
Multiply and divide by 0.1 and 0.01
Put decimal numbers in order.
Round whole numbers and round to 2 decimal places
Use squares, square roots, cubes, cube roots and index notation for small whole number powers.
Use the order of operations and laws of arithmetic and inverse operations.
Use written methods for multiplication and division.
Check results by working backwards.
Use calculators effectively, using brackets and memory and interpret the display correctly.
Algebra 4
3
Recognise and use multiples, factors, highest common factors, lowest common multiples and primes.
Find and use the prime factor decomposition of a number.
Use squares, positive and negative square roots, cubes and cube roots.
Use index notation for small positive whole numbers.
Learn about linear graphs, recognising that equations of the form y = mx + c correspond to straight line graphs.
Read information from distance - time graphs.
Handling Data 2
2
Use the vocabulary of probability when interpreting the results of an experiment
Know that is the probability of an event occurring is p, then the probability of it not occurring is 1 – p..
Estimate probabilities from experimental data.
Compare experimental and theoretical probability.
Geometry and Measure 3
2
Use bearings to specify direction
Transform shapes by rotation, translation, reflection and enlargement.
Identify all the symmetries of 2-D shapes.
Enlarge 2-D shapes given a centre of enlargement and a positive whole number scale factor.
Understand and use the language and notation associated with enlargement.
Make simple scale drawings.
YEAR 9: SUMMER TERM
TOPIC
W EEKS
CONTENT
Algebra 5
2
Simplify expressions by collecting like terms
Multiply a single term over a bracket.
Solve equations including by trial and improvement.
Construct equations and solve them.
Use formulae from mathematics and other subjects.
Substitute whole numbers into simple formulae and expressions involving small powers.
Check results using appropriate methods.
Plot straight line graphs.
Rearrange formulae.
Solving Problems
2
Investigate and solve more demanding problems.
Identify the necessary information to solve a problem.
Represent problems and interpret solutions in algebraic, graphical or geometric form.
Solve more complex problems by breaking them down into smaller steps or tasks, choosing efficient techniques.
Give solutions to an appropriate degree of accuracy and check results using appropriate methods.
Handling Data 3
2
Decide which data to collect to answer a question, and the degree of accuracy needed.
Identify possible sources and collect data using a suitable method.
Plan how to collect the data.
Calculate the mean, median, mode and range, including the mean and mode for grouped data.
Construct pie charts, scatter graphs, simple line graphs and frequency diagrams.
Interpret tables and compare distributions.
Construct stem and leaf diagrams.
Represent problems and interpret solutions in algebraic, geometric or graphical form.
Suggest extensions to problems.
Geometry and Measures 4
2
Solve geometrical problems using side and angle properties of triangles and quadrilaterals.
Classify quadrilaterals by their geometric properties.
Know and use geometric properties of cuboids and shapes made from cuboids
Construct nets of solid shapes.
Calculate volumes and surface areas of cuboids and shapes made from cuboids.
Draw plans elevations and scale drawings.
Solve problems using coordinates.
Use map scales and bearings.
Handling Data 4
2
Record probability outcomes in lists, tables and diagrams
Understand experiments in probability
Compare experimental theoretical probabilities