Framework For Teaching Mathematics -Year 7

Number


Unit 13/N4 FDPRP 2
Part 1 of 2 Ratio and Proportion
Tier: Main
Spring term:Second Half
Lesson 1 (of 5):1hr

Mental Starters

Learning Outcomes

Introductory Ideas

Main Activity

Plenary

Counting Stick or Spider Diagram as in Sparks 3, Sparks 4 or Sparks 5 Fractions, Decimals, %ages review concept that F, D and % are all parts of a total (unlike ratio), and so are all linked.
  • Use equivalence of F, D and % in describing proportions

  • (Proportion compares part with whole and is usually expressed as a F, D or %).


    Proportion and notation 3:2, in addition to:
    Numerator, denominator, mixed number, improper fraction, unit fraction, cancel, simplify, equivalent, convert, decimal fraction, recurring decimal, percentage.
    Introduce language of proportion, eg: with OHS N4/1: School Dinners (focusing on F, D, % and P).

    Eg: 6 in 8 like school stew ... 6 out of 8 like school stew .. 6/8 ...0.75 ...75%
    Learning activities which require a focus on comparing part with total.
    Develop introductory task so that pupils can apply language of proportion interchangeably with that of F, D and %. Eg:
    Pupils could complete a series of statements from OHS N4/1: School Dinners, such as:
    2 in 8 dislike stew ... 1/4 dislike it ... 3/4 like it ... 75% like it ...
    Sparks 3, Sparks 4 or Sparks 5 Fractions, Decimals, %ages - linking F, D, % and Proportion


    NNS P30a 233K download
    Pp16-17 a 135K download.

    Unit 13/N4 FDPRP 2
    Part 1 of 2 Ratio and Proportion
    Tier: Main
    Spring term:Second Half
    Lesson 2 (of 5):1hr


    Mental Starters

    Learning Outcomes

    Introductory Ideas

    Main Activity

    Plenary

    Sparks 1: Equivalent Fractions -
    (as preparation for equivalent ratios)
  • Understand the relationship between ratio and proportion. (Ratio compares part with part)
  • Use ratio and proportion to solve problems



  • Ratio and notation 3:2,
    in addition to:
    proportion, numerator, denominator, mixed number, improper fraction, unit fraction, cancel, simplify, equivalent, convert, decimal fraction, recurring decimal, percentage.
    Introduce language of ratio, eg:
    with OHS N4/1: School Dinners (focusing on F, D, % and R)
    Eg: '6 like it for every 2 that don't';
    OR
    OHS N4/3: Shades of Grey
    RATIO

    Learning activities which require a focus on comparing part with part. Eg:
  • Consolidate language of ratio, eg:
    Pupils could complete a series of statements from OHS N4/1: School Dinners, such as:
    2 in 8 dislike it, but ... 2 dislike it for every 6 who like it
  • Enrich range of ratio and proportion contexts, eg;
    R and P of wool, cotton, polyester etc in fabrics (clothes labels); of pupils in class with brown eyes, long hair, who are 11, R of blue to yellow in green paint, ratio of flour to eggs in cake recipes, ...

  • Use same / new example to highlight similarity in language between:
    '1 to 5' (a ratio)
    '1 in 5' (a proportion); and link Qs:
    'What proportion are red?' 'What ratio? Fraction? Decimal? %?


    NNS P30a 233K download
    Pp16-17 a 135K download.

    Unit 13/N4 FDPRP 2
    Part 1 of 2 Ratio and Proportion
    Tier: Main
    Spring term:Second Half
    Lesson 3 (of 5):1hr


    Mental Starters

    Learning Outcomes

    Introductory Ideas

    Main Activity

    Plenary

    Sparks 2: Ratio & Proportion:
  • Understand the relationship between ratio and proportion. (Ratio compares part with part)
  • Use ratio and proportion to solve problems


  • As for lesson 2
      Equivalent Ratios. Eg: OHS N4/2: Equivalent Ratios If form 7S is 1/3 girls and 2/3 boys, then comparing them as fractions looks like 1/3 v 2/3 or as ratios 1 : 2
    One approach; Ratios can be thought of as the numerators of fractions and we can therefore have equivalent ratios in just the same way as we have equivalent fractions. Link to equivalent fractions.
    Sparks 2: Ratio & Proportion. Using a more demanding figure at centre.


    NNS P30a 233K download
    Pp16-17 a 135K download.