Framework For Teaching Mathematics -Year 7

Number

Unit 10/N3 Calculations 1
Part 2 of 2 Written Methods
Tier: Main
Spring term:First Half
 Lesson 1 (of 2):1hr


Mental Starters

Learning Outcomes

Introductory Ideas

Main Activity

Plenary

'24 Game'
(choose any 4 numbers, use all 4 to make 24, with any 4 arithmetical operations)

(whole class or in pairs using 24 Game Score Sheet)
  • Know and use the order of operations (BODMAS )
  • Plan and carry out operations using brackets, including use of a calculator.
  • Solve problems and puzzles in number, including number.

    Operation
    Add
    Subtract
    Multiply
    Divide
    Sum
    Total
    Product
    Multiple
    •      		Use a string of numbers on board to demonstrate different answers with LTR and scientific calculators.

    Explain rules of BODMAS .     		1). Investigate ways of making different totals using same 3 numbers.
    Eg: Starting with 2,4 and 5 can you make numbers 1-10? Biggest number? Smallest number? Number nearest to 0? 10? ...

    2). Repeat with larger numbers.

    3). Collect results on board using rules of BODMAS.

    4). Use WS N3/2: 24 Game Score Sheet to allow pupils to play on pairs. Winning partner writes down their solution using BODMAS rules.

    Extend by allowing use of square root operation if appropriate.

    		 'I'm thinking of a number and when I..., then ... I get ...What number am I thinking of?'

    Puzzles set by teacher (or individual pupils); pupils to suggest how to write this down. (linking with later unit on equations)


    Choose one finished 24 Game sheet and photocopy (with answers blanked out) for homework
    NNS P19a 182K download
    Unit 10/N3 Calculations 1
    Part 2 of 2 Written Methods
    Tier: Main
    Spring term:First Half
    		 Lesson 2 (of 2):1hr


    Mental Starters

    Learning Outcomes

    Introductory Ideas

    Main Activity

    Plenary

    Give 2 or 3 numerical expressions but with 3 different answers. Pupils to decide where missing brackets should go.
  • Know and use the order of operations (BODMAS)
  • Plan and carry out operations using brackets, including use of a calculator.
  • Solve problems and puzzles in number, including number

    Operation
    Add
    Subtract
    Multiply
    Divide
    Sum
    Total
    Product
    Multiple
    		• Draw BODMAS spider with starting number such as 12 at centre with 8 legs labelled with 4 operations (+2, -3, x4, ¸4) and ask for expressions (12+2,etc). Add a 2nd step to each to prompt answers such as (12+2) x 3; extend as appropriate. Work out answers using bracket key on calculator. 1). Use BODMAS Spider with a different starting numbers at centre; allow extension to decimal, fractional and negative numbers.

    2). Link with problems requiring rules of BODMAS and involving the following keys: +, -, x, ÷, ( ), sign-change, square root and M keys (fractions key and % key could be left until N4 Unit).     		Use BODMAS Spider with a decimal or fractional starting number.


    NNS P19a 182K download