Run sheet

Order of Operations — with Parentheses

Grade 6 · Lesson 5 · 23 slides · blocked practice

The big idea

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

Slide by slide

#	On the screen	What you say
1	Today — WARM-UP	Point at the five parts. Name where we are.
2	Evaluate 7 + 3 × 2.	Boards up on three. This is yesterday's work — Order of Operations without Parentheses. Do not help each other; I need to see what each of you kept.
3	13 answer — own slide	Show me. Everyone at once. Check your own board against this.
4	Today — I DO	We are at I DO. Boards down and flat.
5	Parentheses override the order. They are how a writer says 'do this part first' when the agreed order would do something else.	Read this out. Do not explain it yet — the example explains it.
6	2 + 3 × 4 = 14 build 1 of 5	Without parentheses, multiplication goes first.
7	2 + 3 × 4 = 14 I need to say so build 2 of 5	But suppose I MEANT the addition first.
8	2 + 3 × 4 = 14 I need to say so (2 + 3) × 4 build 3 of 5	Parentheses say it.
9	2 + 3 × 4 = 14 I need to say so (2 + 3) × 4 5 × 4 build 4 of 5	Inside first.
10	2 + 3 × 4 = 14 I need to say so (2 + 3) × 4 5 × 4 (2+3)×4 = 20 vs 2+3×4 = 14 build 5 of 5	A different answer, from the same digits.
11	Evaluate (8 − 3) × 5.	Now the same thing on a new one. Watch — nothing on your boards.
12	Inside the parentheses first: 8 − 3 = 5. 5 × 5 25 answer — own slide	I say every step aloud as I write it. The board keeps all of it.
13	Today — WE DO	We are at WE DO. Boards up.
14	Evaluate 24 ÷ (4 + 2).	Inside first — even though the division is written first. Boards up.
15	4 + 2 = 6. 24 ÷ 6 = 4 answer — own slide	Boards up. Everyone at once — check yours against this.
16	Evaluate (3 + 1)² − 5.	Parentheses, then the exponent, then the subtraction.
17	3 + 1 = 4. 4² = 16. 16 − 5 = 11 answer — own slide	Boards up. Everyone at once — check yours against this.
18	Today — YOU DO	We are at YOU DO. Boards down, books open.
19	Dimensions 6A — page 8	Open your books to this page. Wait — do not start yet.
20	Do — page 8	These are the book's own problems, same type as the three we have just done. Work them in the book.
21	Today — CLOSURE	Last part. Answers up.
22	“Is there a bracket? Then that part goes first, whatever else is there.”	This is the question to ask yourself every time, not just today.
23	Evaluate (10 − 4) ÷ 3.	One last board. Then we are finished.

Mini whiteboards, by segment

Segment	MWB	Time	Boards	What to hold
WARM-UP	retrieval	3-5 min	BOARDS UP	Question up, boards up on the count. Everyone shows at once — a child who waits to see a neighbour's board has not retrieved anything.
I DO	none — they watch	3-4 min	boards down	Boards DOWN and flat. This segment is watching, and a child writing is not watching. Say so once at the start of the year and then hold it.
WE DO	primary use	5-6 min	BOARDS UP	One step, then boards up. Do not let them run ahead to the answer — the point is that everybody is on the same step at the same time.
YOU DO	on the sheet	4-5 min	boards down	Boards down. This is the book's problems, worked where the work will be kept.
CLOSURE	answers displayed	2-3 min	boards down	Answers on the board, children check their own. Mark nothing here.

Watch for
(3 + 1)² is the one to watch: children evaluate 3 + 1² = 4. Parentheses come before the exponent, and writing the intermediate step is what prevents it.