Day 143 of 180Week 29 of 36, WednesdayFourth quarter

Composite shapes

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

Find the area of an L-shape and a triangle-plus-rectangle, splitting each up.

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 4 on this topic

Area, surface area and nets

Can do: Finds the area of triangles, parallelograms and composite shapes, and surface area from a net.

Why it matters

It moves geometry from a memorised formula list to reasoning about shapes โ€” decomposing, rearranging, unfolding.

What it looks like when it's wobbly

Forgets to halve for a triangle, uses a slanted side as the height, and confuses surface area with volume.

โฑ๏ธ Two-minute check

"Area of a triangle with base 8 and height 5? Surface area of a 2ร—3ร—4 box?"

Solid looks like: 20 and 52, with units.

The full activity for this topic ยท 25 minutes

Cut, Unfold, Measure

PaperScissorsAn empty cereal boxRuler
  1. 1Cut a rectangle diagonally and see the two identical triangles โ€” that's why we halve.
  2. 2Cut a parallelogram and rearrange it into a rectangle. Same area, easier shape.
  3. 3Unfold a cereal box completely flat. That's a net.
  4. 4Measure every face and total them for the surface area, then check for the pairs.
  5. 5Split an L-shaped room into rectangles and find its area.

If it's too hard

Rectangles and right triangles only.

If it's too easy

Composite 3-D shapes, and finding a missing dimension from a given area.

Say this

"The height has to be straight up from the base โ€” not the slanted side. Where's the right angle?"

Math practice

Week 29 at a glance

  1. Monday ยท Day 141

    ๐Ÿ”ข Math

    Plan a trip by rate

  2. Tuesday ยท Day 142

    ๐Ÿ“– Reading

    Ten quotes, ten explanations

  3. Wednesday ยท Day 143

    ๐Ÿ”ข Math

    Composite shapes

  4. Thursday ยท Day 144

    โœ๏ธ Writing

    Mark against the rubric

  5. Friday ยท Day 145

    ๐Ÿงญ Study & Life Skills

    Nothing missed this month

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