Day 101 of 180Week 21 of 36, MondayThird quarter

Common factors

๐Ÿ”ข Math๐Ÿ” Practiseโฑ๏ธ about 30 minutes

Find the common factors of 24 and 36, then the greatest one.

Reps on something already met. Short, and worth doing even on a bad evening.

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Today is rung 5 of 9 on this topic

Factors, multiples and prime numbers

Can do: Lists factors of a number, knows what makes a number prime, and finds common multiples.

Why it matters

It's the vocabulary that fractions in Grade 5 and 6 are built from โ€” simplifying and common denominators are both factor problems in disguise.

What it looks like when it's wobbly

Confuses factors with multiples, and calls 1 or 9 prime.

โฑ๏ธ Two-minute check

"List all the factors of 24. Is 9 prime? Why not?"

Solid looks like: 1, 2, 3, 4, 6, 8, 12, 24 โ€” and 9 rejected because 3 ร— 3 works.

The full activity for this topic ยท 15 minutes

Rectangle Factor Hunt

Squared paperCounters
  1. 1Give them 24 counters. Build every rectangle possible: 1ร—24, 2ร—12, 3ร—8, 4ร—6.
  2. 2Each rectangle's sides are a factor pair. Write them down in order.
  3. 3Try 7 counters. Only one rectangle exists โ€” that's what prime means, made visible.
  4. 4Sort the numbers 1 to 20 into prime and composite using rectangles.
  5. 5Play factor bingo, or a fizz-buzz style game with multiples.

If it's too hard

Numbers under 20 with counters.

If it's too easy

Prime factorisation as a factor tree, which sets up simplifying fractions perfectly.

Say this

"How many different rectangles can you build with these? Each one gives you a factor pair."

Math practice

Week 21 at a glance

  1. Monday ยท Day 101

    ๐Ÿ”ข Math

    Common factors

  2. Tuesday ยท Day 102

    ๐Ÿ“– Reading

    Summarise the news

  3. Wednesday ยท Day 103

    ๐Ÿ”ข Math

    How much altogether?

  4. Thursday ยท Day 104

    โœ๏ธ Writing

    Evidence that complicates it

  5. Friday ยท Day 105

    ๐Ÿ”ฌ Science

    Why can't you see round corners?

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