Multiply and Divide Fluently Within 100: Facts for 3, 4, and 6

Students build fluency with multiplication and division facts for 3, 4, and 6 using strategies such as doubling (4 = 2 x 2, 6 = 2 x 3), the distributive property, and known facts. They practice relating each division fact to its corresponding multiplication fact.

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Real questions from this skill, graded here. No account, and nothing is saved.

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

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12 rungs. A star at the top.

4 × 1 =

How it is taught

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A 6 fact can split as 5 groups plus 1 group.

Those two products add to the 6 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.

See three trays with five apples on each.
Skip count by fives: five, ten, fifteen.
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.

3 × 2 = ___ — 6. 3 trays with 2 apples in each: skip-count the trays — 2, 4, 6.

4 × 7 = 28 (doubling strategy)

Today we're learning a clever shortcut for our four times tables — doubling!

Let's solve four times seven. We'll use a number line, jumping by seven each time.

We already know two sevens make fourteen — that's from our two times tables.

Here's the trick: four is just double two, so four sevens is double two sevens.

Double fourteen is twenty-eight!

Grade 3 · Doubling our 2s to master our 4s

So four times seven equals twenty-eight.

And every multiplication fact gives us a division fact for free.

If four sevens make twenty-eight, then twenty-eight split into four equal groups is seven.

Twenty-eight! Doubling turns tricky fours into easy twos.

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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Standard

CCSS.3.OA.C.7

Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division

Grade 3

Quoted from the Common Core State Standards.

Where this sits

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What a star here means

A star here is the top of a twelve-rung ladder, in four blocks of equal length — three of facts and one of the skill used in a real question — where a right answer climbs one rung and a wrong one drops back to the start of the block, never below it. The star is kept for good. How we grade

All of Grade 3

This is one rung of 104 in Grade 3 mathematics, in the order they build on each other.

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