STUDENT SHEET

Order of Operations — with Parentheses

Grade 6 · Lesson 5 · Dimensions 6A p.8
Math Book 6 · sheet 5
Warm-up — yesterday: Order of Operations without Parentheses
Evaluate 7 + 3 × 2.

What we are learning

Parentheses override the order. They are how a writer says 'do this part first' when the agreed order would do something else.

How it is done — keep this beside you

These steps stay on your page while you work. If you get stuck, find the step you are on and read it again before you put your hand up.

1
Without parentheses, multiplication goes first.
2 + 3 × 4 = 14
2
But suppose I MEANT the addition first.
2 + 3 × 4 = 14 I need to say so
3
Parentheses say it.
2 + 3 × 4 = 14 I need to say so (2 + 3) × 4
4
Inside first.
2 + 3 × 4 = 14 I need to say so (2 + 3) × 4 5 × 4
5
A different answer, from the same digits.
2 + 3 × 4 = 14 I need to say so (2 + 3) × 4 5 × 4 (2+3)×4 = 20 vs 2+3×4 = 14

Practice

I DOteacher builds it, nothing erased
Evaluate (8 − 3) × 5.
  1. Inside the parentheses first: 8 − 3 = 5.
  2. 5 × 5
  3. 25
WE DO 1together, on whiteboards
Evaluate 24 ÷ (4 + 2).
Inside first — even though the division is written first. Boards up.
WE DO 2together, on whiteboards
Evaluate (3 + 1)² − 5.
Parentheses, then the exponent, then the subtraction.
YOU DOindependent, from the book
Book 6A p.8 — the Do section, clipped onto the slide
the book page
Ask yourself: “Is there a bracket? Then that part goes first, whatever else is there.”