Day 46 of 180Week 10 of 36, MondaySecond quarter

The zero problem

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

305 ร— 24. The zero in the middle is where the method usually breaks.

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

Today is rung 6 of 16 on this topic

Multi-digit multiplication

Can do: Multiplies 3-digit by 1-digit and 2-digit by 2-digit, and can explain the partial products.

Why it matters

It's where place value and times tables combine. A child who can only follow the steps breaks the moment there's a zero or a carry.

What it looks like when it's wobbly

Forgets to shift the second row, or writes the carried digit and then adds it in the wrong column.

โฑ๏ธ Two-minute check

"Work out 34 ร— 26 and 205 ร— 7." Then: "What does the second row of the first one mean?"

Solid looks like: Both correct, and they know row two is 20 ร— 34 rather than 2 ร— 34.

The full activity for this topic ยท 20 minutes

Area Model First

PaperRuler
  1. 1Draw a rectangle split into four boxes: 30 and 4 along the top, 20 and 6 down the side.
  2. 2Fill each box with its product: 600, 80, 180, 24.
  3. 3Add them up. That's the answer, and every step is visible.
  4. 4Now do the same sum in the column method and match each written step to a box.
  5. 5Estimate first every time โ€” 34 ร— 26 is roughly 30 ร— 25, about 750.

If it's too hard

2-digit by 1-digit with the area model only.

If it's too easy

3-digit by 2-digit, and a problem with a zero in the middle: 305 ร— 24.

Say this

"That row isn't 2 ร— 34 โ€” it's 20 ร— 34. That's why the zero goes there."

Math practice

Week 10 at a glance

  1. Monday ยท Day 46

    ๐Ÿ”ข Math

    The zero problem

  2. Tuesday ยท Day 47

    ๐Ÿ“– Reading

    Three possible themes

  3. Wednesday ยท Day 48

    ๐Ÿ”ข Math

    Related denominators

  4. Thursday ยท Day 49

    โœ๏ธ Writing

    Two sources disagree

  5. Friday ยท Day 50

    ๐Ÿ”ฌ Science

    Conductor or insulator?

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