Day 86 of 180Week 18 of 36, MondaySecond quarter

Percent, every direction

๐Ÿ”ข Math๐Ÿง  Reviewโฑ๏ธ about 35 minutes

Twelve problems: of, change, reverse and successive.

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

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

Today is rung 7 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 18 at a glance

  1. Monday ยท Day 86

    ๐Ÿ”ข Math

    Percent, every direction

  2. Tuesday ยท Day 87

    ๐Ÿ“– Reading

    How the idea developed

  3. Wednesday ยท Day 88

    ๐Ÿ”ข Math

    Negatives in real data

  4. Thursday ยท Day 89

    โœ๏ธ Writing

    Half the words

  5. Friday ยท Day 90

    ๐Ÿ”ฌ Science

    Balance an equation

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