Day 168 of 180Week 34 of 36, WednesdayFourth quarter

Surface area and area

🔢 Math🧠 Review⏱️ about 30 minutes

Ten problems mixing 2-D area and 3-D surface area, with units checked.

A deliberate return to something from weeks ago. Forgetting a bit is the point.

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Today is rung 4 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 — 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.

⏱️ Two-minute check

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

Solid looks like: 20 and 52, with units.

The full activity for this topic · 25 minutes

Cut, Unfold, Measure

PaperScissorsAn empty cereal boxRuler
  1. 1Cut a rectangle diagonally and see the two identical triangles — 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 — not the slanted side. Where's the right angle?"

Math practice

Week 34 at a glance

  1. Monday · Day 166

    🔢 Math

    Fractions in a build

  2. Tuesday · Day 167

    📖 Reading

    Debate at dinner

  3. Wednesday · Day 168

    🔢 Math

    Surface area and area

  4. Thursday · Day 169

    ✏️ Writing

    Your voice, September to June

  5. Friday · Day 170

    🌍 Social Studies

    What would you take from them?

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