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Multiply and Divide Fluently Within 100: Facts for 2, 5, and 10

Students build fluency with multiplication and division facts for 2, 5, and 10. They connect these facts to skip-counting patterns and use the relationship between multiplication and division to answer both operations quickly and accurately.

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Multiply and Divide Fluently Within 100: Facts for 2, 5, and 10

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

0 of 12

12 rungs. A star at the top.

× 2 = 2

How it is taught

0:00 of 4:07

Tens facts match skip-counting by 10.

10 times a number makes that many tens.

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.

2 × 2 = ___ — 4. 2 trays with 2 apples in each: skip-count the trays — 2, 4.

5 × 6 = 30 ↔ 30 ÷ 5 = 6

Let's get fluent with our fives — one of the friendly fact families along with twos and tens.

Here's a number line from zero to thirty, with a tick at every five.

Start at zero and hop five. We land on five.

Hop another five. Now we're at ten.

Another hop… fifteen.

Twenty.

Twenty-five.

And one more brings us all the way to thirty.

Look what we did — six hops, and each one was worth five.

Six groups of five is thirty. So five times six equals thirty.

Flip it around. If we have thirty and split it into fives, we get back to six hops. Thirty divided by five is six.

Multiplication and division are partners. Knowing five times six is thirty means you already know thirty divided by five is six!

Counting by 5s5, 10, 15, 20, 25, 30…Skip-count, then you can multiply AND divide!030510152025306 hops × 5 each5 × 6 = 3030 ÷ 5 = 6FACT FAMILY5 × 6= 30so 30 ÷ 5 = 6
Grade 3 · Skip-counting by fives to find a fact family

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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