Run sheet

Factors and Multiples — Factors

Grade 7 · Lesson 1 · 23 slides · blocked practice

The big idea

A factor of a number divides it exactly, leaving no remainder. Factors come in PAIRS, which is what makes them findable systematically.

Slide by slide

#	On the screen	What you say
1	Today — WARM-UP	Point at the five parts. Name where we are.
2	Evaluate 4 + 3 × 2².	Boards up on three. This is yesterday's work — Grade 6 — order of operations. Do not help each other; I need to see what each of you kept.
3	16 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	A factor of a number divides it exactly, leaving no remainder. Factors come in PAIRS, which is what makes them findable systematically.	Read this out. Do not explain it yet — the example explains it.
6	24 build 1 of 5	Find every factor of 24. I will not guess — I will work in pairs.
7	24 1, 24 build 2 of 5	1 × 24. Both are factors.
8	24 1, 24 1, 2, 12, 24 build 3 of 5	2 × 12.
9	24 1, 24 1, 2, 12, 24 1, 2, 3, 4, 6, 8, 12, 24 build 4 of 5	3 × 8. Then 4 × 6.
10	24 1, 24 1, 2, 12, 24 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 3, 4, 6, 8, 12, 24 build 5 of 5	5 does not divide 24, and after 4 × 6 the pairs start repeating. Done.
11	List all the factors of 18.	Now the same thing on a new one. Watch — nothing on your boards.
12	1 × 18, 2 × 9, 3 × 6. 4 and 5 do not divide 18. After 3 × 6 the pairs repeat. 1, 2, 3, 6, 9, 18 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	List all the factors of 30.	Work in pairs, starting at 1. Boards up when the pairs meet.
15	1×30, 2×15, 3×10, 5×6 1, 2, 3, 5, 6, 10, 15, 30 answer — own slide	Boards up. Everyone at once — check yours against this.
16	List all the factors of 36.	This one has a pair that meets itself. Watch for it.
17	1×36, 2×18, 3×12, 4×9, 6×6 1, 2, 3, 4, 6, 9, 12, 18, 36 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 7A — page 2	Open your books to this page. Wait — do not start yet.
20	Do — page 2	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	“Have the pairs met yet? If they have, I am finished.”	This is the question to ask yourself every time, not just today.
23	List all the factors of 20.	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
36 = 6 × 6 is a square, so 6 is written ONCE. Children list it twice or stop before reaching it. The pairs-meeting test is what tells them when the list is complete — without it they simply stop when they run out of ideas.