CCSS.Math.Content.3.OA.C.7
The Standard
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 × 5 = 40, one knows 40 ÷ 5 = 8) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
Common Core State Standards for Mathematics · Operations and Algebraic Thinking
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students recall products of one-digit factors and solve related division facts within 100. They use known facts, fact families, and operation properties to answer accurately and efficiently.
What Mastery Looks Like
- Students recall one-digit multiplication facts accurately without making arrays or skip-counting. They solve related division facts quickly and use fact families or operation properties when needed.
Common Misconceptions
- Students may reverse the divisor and dividend or treat division as commutative. They may also know multiplication facts but fail to connect them to related division facts.
How to Assess It
- Give students these six problems: 7 × 8, 9 × 6, 42 ÷ 7, 63 ÷ 9, 8 × 4, and 32 ÷ 4. Ask them to solve each without tools and write one related fact.
Lesson moves
Ways to Teach It
Give pairs 36 counters and ask them to build every equal-row array, then record the matching multiplication and division equations.
Ask students to explain in writing how knowing 6 × 8 helps them solve 48 ÷ 6 and 48 ÷ 8.
Play Fact Family Match with cards showing factors, products, and division equations, and have students collect complete matching sets.
Present 56 pencils packed equally into 7 boxes, then ask students to find the amount per box and write related equations.
Free download
Printable 3.OA.C.7 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.3.OA.C.7, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Operations & Algebraic Thinking progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.3.OA.A.2
Interpreting quotients gives division meaning that supports division facts and using multiplication as the inverse within 100.
- CCSS.Math.Content.3.OA.A.1
Understanding multiplication as equal groups supports fact strategies and connects products to division facts within 100.
- CCSS.Math.Content.3.OA.B.6
Seeing division as a missing factor lets students use known multiplication facts to find related quotients fluently.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.5.NBT.B.5
Multi-digit multiplication fluency depends on knowing one-digit products and using place-value partial products accurately.
- CCSS.Math.Content.4.NBT.B.5
Multi-digit multiplication relies on accurate one-digit products when forming and adding partial products in arrays and place-value strategies.
- CCSS.Math.Content.4.OA.B.4
Multiplication and division fact fluency helps students test factor pairs, identify multiples, and distinguish prime from composite numbers within 100.
- CCSS.Math.Content.4.NBT.B.6
Multi-digit division requires choosing partial quotients and remainders using one-digit multiplication facts and the multiplication-division relationship.
- CCSS.Math.Content.4.OA.A.3
Multiplication and division fact fluency supports efficient computation, interpreting division, and checking answers in multistep whole-number problems.
- CCSS.Math.Content.5.OA.A.1
Multiplication and division fluency reduces calculation load when evaluating grouped expressions that include those operations.
Keep exploring
Related Standards
- CCSS.Math.Content.2.NBT.B.5
Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
- CCSS.Math.Content.6.NS.B.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
- CCSS.Math.Content.2.OA.B.2
Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
- CCSS.Math.Content.3.NBT.A.2
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition a...
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