Curriculum / Math / 3rd Grade / Unit 3: Multiplication and Division, Part 2 / Lesson 12
Math
Unit 3
3rd Grade
Lesson 12 of 23
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Build fluency with multiplication and division facts using units of 8 and 9.
The core standards covered in this lesson
3.OA.A.4 — Determine the unknown whole number in a multiplication or division equation relating three whole numbers. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 × ? = 48, 5 = _ ÷ 3, 6 × 6 = ?
3.OA.C.7 — 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.
The foundational standards covered in this lesson
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 and subtraction.
3.OA.A.1 — Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each. For example, describe a context in which a total number of objects can be expressed as 5 × 7.
3.OA.A.2 — Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
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Determine the value of the unknown in each equation below.
a. $$9 \times 8 = a$$
b. $$63 = b\times 9$$
c. $$48 \div c = 8$$
d. $$7 = d\div 8$$
Here is the partially filled-in multiplication table from earlier lessons.
Add the new facts you encountered in this lesson to your multiplication table.
Problem Set
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Wanda says she can count by 9 eight times to solve $$9\times8$$. Leroy says he can count by 8 nine times to solve this problem. Who is correct? Explain your answer. Include the product in your answer.
a. $$a\times 8 = 48$$
b. $$63 \div b =9$$
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The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.
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Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
Lesson 11
Lesson 13
Topic A: Introduction to The Properties of Operations
Study commutativity to find known facts of 6, 7, 8, and 9.
3.OA.B.5 3.OA.D.9
Understand the zero and identity properties of multiplication.
3.OA.A.4 3.OA.B.5 3.OA.C.7 3.OA.D.9
Understand the role of parentheses and apply to solving problems.
3.OA.B.5 3.OA.D.8
Introduce the distributive property of multiplication.
Introduce the associative property of multiplication.
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Topic B: Multiplication and Division by 6 and 7
Build fluency with multiplication and division facts using units of 6.
3.OA.A.4 3.OA.C.7
Build fluency with multiplication and division facts using units of 7.
Use the associative property as a strategy to multiply by units of 6.
3.OA.B.5 3.OA.C.7 3.OA.D.9
Use the distributive property as a strategy to multiply by units of 6.
Use the distributive property as a strategy to multiply by units of 7.
Solve one- and two-step word problems involving units up to 7.
3.OA.A.3 3.OA.D.8
Topic C: Multiplication and Division by 8 and 9
Use the associative property as a strategy to multiply by units of 8 and 9.
Use the distributive property as a strategy to multiply by units of 8 and 9.
Use the distributive property as a strategy to multiply by units of 8 and 9, including the subtractive use of the distributive property.
Solve one- and two-step word problems involving units up to 9.
Topic D: Multiplication and Division by Values Greater than 10
Multiply one-digit whole numbers by multiples of 10.
3.NBT.A.3 3.OA.A.4 3.OA.B.5
Multiply one-digit whole numbers by two-digit whole numbers using the associative and distributive properties.
Topic E: Two-Step Word Problems and Patterns in Arithmetic
Solve two-step word problems involving all four operations.
3.OA.D.8
Solve two-step word problems involving all four operations, including multiplying one-digit whole numbers by multiples of 10.
3.NBT.A.3 3.OA.D.8
Identify patterns in single or multiple rows/columns of the multiplication table.
3.OA.C.7 3.OA.D.9
Identify other patterns in the multiplication table.
3.OA.D.9
Identify arithmetic patterns and explain them using properties of operations.
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