Day 56 of 180Week 12 of 36, MondaySecond quarter

Up 20%, down 20%

๐Ÿ”ข Math๐Ÿ” Practiseโฑ๏ธ about 35 minutes

Calculate what actually happens and explain why it is not back to the start.

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

Today is rung 5 of 13 on this topic

Percent in the real world โ€” tax, tip, interest, markup

Can do: Solves multi-step percent problems including successive changes and finding the original amount.

Why it matters

This is the maths of adult life. It's also where the deepest intuition failures live โ€” most adults get successive percentages wrong.

What it looks like when it's wobbly

Adds percentages that shouldn't be added, and can't reverse a percentage change.

โฑ๏ธ Two-minute check

"A $80 item, 25% off, then 8% tax. Final price? A jacket cost $60 after 25% off โ€” what was it before?"

Solid looks like: $64.80 and $80.

The full activity for this topic ยท 25 minutes

Real Receipts

Actual receiptsA calculatorPaper
  1. 1Take a real receipt and verify the tax line yourself.
  2. 2Work out what a 20% tip would be, mentally first.
  3. 3Do a two-step problem: sale price then tax, and note the order matters less than people think โ€” check why.
  4. 4Reverse one: given the final price and the discount, find the original.
  5. 5Try simple interest on a real savings rate over three years.

If it's too hard

One-step problems with mental 10% anchoring.

If it's too easy

Compound interest over five years, and comparing two loan offers.

Say this

"25% off means you pay 75%. Multiply by 0.75 โ€” one step instead of two."

Grade 7 money lessons

Week 12 at a glance

  1. Monday ยท Day 56

    ๐Ÿ”ข Math

    Up 20%, down 20%

  2. Tuesday ยท Day 57

    ๐Ÿ“– Reading

    Structure of a whole book

  3. Wednesday ยท Day 58

    ๐Ÿ”ข Math

    Order of operations with negatives

  4. Thursday ยท Day 59

    โœ๏ธ Writing

    Read it aloud for confidence

  5. Friday ยท Day 60

    ๐Ÿ”ข Math

    Cylinder versus box

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