Core (from Y8 teaching programme)
• Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket
• Construct & solve linear equations with integer coefficients (unknown on either or both sides ) using appropriate methods (e.g. inverse operations, transforming both sides in the same way)
• Use formulae from mathematics and other subjects; substitute integers into simple formulae , including examples that lead to an equation to solve, and positive integers into expressions involving small powers (e.g. 3x^2 + 4 or 2x^3); derive simple formulae.
• Begin to use graphs and set up equations to solve simple problems involving direct proportion |
Extension (from Y9 teaching programme)
• Simplify or transform algebraic expressions by taking out single term common factors
Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution), using an appropriate method |
MAP
~ Fibonacci sequences
~ Fibonacci biography |
MEDIAN - Linear equations
~ Fibonacci 3 steps, 4 steps; extended tasks
MAP
~ Fibonacci Fun – to generate instant solutions to the questions in the 3 steps / 4 steps activities
|
ATM Mathematical problem solving
~ Fibonacci rectangles
~ Fibonacci sequences
MAP
~ Generate Fibonacci using spreadsheets ; explore ratios between terms. Graph results.
~ Fibonacci Fun – pupils could generate this themselves
|
MAP
~ Generic assessment criteria
|
What happens to the ratio of a Fibonacci number to its previous number, as the size of the numbers increases?
hat happens with starting numbers other than 1, 1, …?
|
MAP – Level Ladders
~ Equations, formulae, identities
|