Day 63 of 180Week 13 of 36, WednesdaySecond quarter

Same fence, different floor

๐Ÿ”ข Math๐Ÿ” Practiseโฑ๏ธ about 25 minutes

Draw two rectangles with a perimeter of 12 but different areas. Ask how that is possible and let them explain it back to you.

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

๐Ÿ“‹ Want the whole year planned? $9.99

Today is rung 3 of 7 on this topic

Area and perimeter

Can do: Finds the area of a rectangle by multiplying, and the perimeter by adding โ€” and knows which is which.

Why it matters

Area is where multiplication becomes geometric, and the two ideas are permanently confused unless they're built physically.

What it looks like when it's wobbly

Swaps the two, adds when they should multiply, and forgets the units are different โ€” cm versus cmยฒ.

โฑ๏ธ Two-minute check

Draw a 4 by 6 rectangle. "What's the area? What's the perimeter?"

Solid looks like: 24 square units and 20 units, with the right units named.

The full activity for this topic ยท 15 minutes

Tile It and Fence It

Squared paperA rulerSticky notes or tiles
  1. 1Cover a rectangle with square tiles and count them โ€” that's area, and it's a multiplication.
  2. 2Walk a finger round the edge and count the units โ€” that's perimeter, and it's a fence.
  3. 3Use the words every time: fence for perimeter, floor for area.
  4. 4Measure a real room or a table and calculate both.
  5. 5Show two shapes with the same perimeter and different areas. It surprises them, and it should.

If it's too hard

Count the squares rather than multiplying.

If it's too easy

Find a missing side given the area, or the area of an L-shape split into two rectangles.

Say this

"Fence or floor? The fence goes round the edge. The floor is what you cover with tiles."

Math practice

Week 13 at a glance

  1. Monday ยท Day 61

    ๐Ÿ”ข Math

    The 8s: double, double, double

  2. Tuesday ยท Day 62

    ๐Ÿ“– Reading

    Chunk the longest word

  3. Wednesday ยท Day 63

    ๐Ÿ”ข Math

    Same fence, different floor

  4. Thursday ยท Day 64

    โœ๏ธ Writing

    Four paragraphs, one topic

  5. Friday ยท Day 65

    ๐ŸŒ Social Studies

    Then and now, same street

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