Run sheet

Factors and Multiples — Multiples

Grade 7 · Lesson 2 · 23 slides · blocked practice

The big idea

A multiple is what you get by multiplying a number by a whole number. A number has finitely many factors and infinitely many multiples.

Slide by slide

#	On the screen	What you say
1	Today — WARM-UP	Point at the five parts. Name where we are.
2	List all the factors of 12.	Boards up on three. This is yesterday's work — Factors. Do not help each other; I need to see what each of you kept.
3	1, 2, 3, 4, 6, 12 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 multiple is what you get by multiplying a number by a whole number. A number has finitely many factors and infinitely many multiples.	Read this out. Do not explain it yet — the example explains it.
6	1, 2, 3, 6 build 1 of 5	Factors of 6 — a list that ends.
7	1, 2, 3, 6 6 × 1 = 6 build 2 of 5	Multiples of 6 — start multiplying.
8	1, 2, 3, 6 6 × 1 = 6 6, 12, 18 build 3 of 5	6 × 2, 6 × 3.
9	1, 2, 3, 6 6 × 1 = 6 6, 12, 18 6, 12, 18, 24, 30, … build 4 of 5	It never stops.
10	1, 2, 3, 6 6 × 1 = 6 6, 12, 18 6, 12, 18, 24, 30, … factors: finite · multiples: infinite build 5 of 5	Factors divide INTO it. Multiples come OUT of it.
11	Write the first five multiples of 7.	Now the same thing on a new one. Watch — nothing on your boards.
12	7 × 1, 7 × 2, 7 × 3, 7 × 4, 7 × 5. 7, 14, 21, 28, 35 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	Write the first five multiples of 9.	Multiply, do not keep adding — adding is where errors creep in. Boards up.
15	9, 18, 27, 36, 45 answer — own slide	Boards up. Everyone at once — check yours against this.
16	Is 48 a multiple of 6? Is 6 a factor of 48?	Two questions that are really one question.
17	6 × 8 = 48, so yes to both. If 6 is a factor of 48, then 48 is a multiple of 6. 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	“Is this number going IN, or coming OUT?”	This is the question to ask yourself every time, not just today.
23	Write the first four multiples of 8.	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
The second WE DO is the whole point of the pair of lessons: factor and multiple are the same relationship named from opposite ends. Do not let the class answer it as two separate questions.