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Multiply and Divide Fluently Within 100: Facts for 7, 8, and 9

Students build fluency with the most challenging multiplication and division facts — those for 7, 8, and 9 — using strategies such as the distributive property (e.g., 9 x 6 = 10 x 6 - 6), doubling for 8s, and the commutative property to reduce the number of new facts to learn.

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Multiply and Divide Fluently Within 100: Facts for 7, 8, and 9

Grade 3 · Multiplication and Division Fluency · question 1 of 3

0 of 12

12 rungs. A star at the top.

× 2 = 16

How it is taught

0:00 of 3:57

Area of a rectangle is rows times squares in a row.

7 rows of 5 is a 7 times 5 fact.

Read it: Skip count by fives

You have three trays. Five apples sit on each. Don't count all fifteen — look at the skip: five, ten, fifteen.

  1. See three trays with five apples on each.
  2. Skip count by fives: five, ten, fifteen.
  3. Say three times five is fifteen.

Counting every apple from one works, but fifteen apples take a long time, and you can lose a tray.

Each tray holds the same five apples, so after the first tray you already know the next jump is five more.

Three jumps of five land on fifteen, which is three trays of five without touching every apple.

When trays hold matching amounts, skip count the trays, not every apple.

Adding three and five and saying eight apples in all.

Three trays of five is not three plus five — skip five, ten, fifteen.

7 × 4 = ___ — 28. 7 trays with 4 apples in each: skip-count the trays — 4, 8, 12, 16, 20, 24, 28.

9 × 7

Imagine nine packs of stickers, with seven stickers in each pack. How many stickers in all? That's nine times seven.

Nines facts can feel hard — but here's a secret: nine is just one less than ten. And tens facts are easy!

So first, let's find ten times seven instead.

Ten times seven is seventy. We just put a zero on the end!

But we wanted nine sevens, not ten. So we have one extra seven to take away.

Set it up: seventy minus seven.

Seventy minus seven is sixty-three.

9 × 7 = ?9 = 10 − 1one less than ten10 × 7 = 70easy! just add a zerobut we want 9 sevens, not 10 — take one 7 away70−7639 × 763the 10s trick!
Grade 3 · Using the 10s trick to find a tricky 9s fact

So nine times seven is sixty-three. Use this 10s trick for any nines fact you forget!

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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