Riveting Reversals

KS3 Numeracy Year 7
This unit is part of Around ARE Algebra Through Numeracy Problem Solving and Above ARE Algebra Through Numeracy Problem Solving

Objectives

KS3 Programme of Study Statements
-- Use and interpret algebraic notation.

-- Model situations or procedures by translating them into algebraic expressions.

-- Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms.

-- Substitute numerical values into expressions.

-- Solve problems.

-- Use the four operations, including formal written methods.

-- Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships.

Lesson Planning

Algebra
Write consecutive numbers, expressed algebraically; simplify algebraic expressions involving adding and subtracting positive and negative integers; substitute into algebraic expressions.

Numeracy and problem solving
Investigation: Riveting reversals (involving revision of long multiplication of 3-digit and 4-digit numbers by 2-digit numbers; and finding the difference between 4-, 5- and 6-digit numbers.)

Algebra and problem solving
Continuation of investigation: Riveting reversals (including generalisation, using algebra learnt in Unit 4 and Lesson 1)