Multiplication & division:
Learning Objectives:
3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
3.OA.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.
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.5 Apply properties of operations as strategies to multiply and divide. (Note: Students need not use formal terms for these properties.)
3.OA.6 Understand division as an unknown-factor problem.
3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
Essential Concepts & Vocabulary:
multiple, multiplication, skip counting, repeated addition, repeated equal groups, times, factor, product, fair shares, partition, repeated subtraction, divide, division, equal groups drawings, properties of multiplication (zero property, identity property, associative property, commutative property, distributive property),
3.OA.1 Interpret products of whole numbers, e.g., interpret 5 × 7 as the total number of objects in 5 groups of 7 objects each.
3.OA.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.
3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
3.OA.5 Apply properties of operations as strategies to multiply and divide. (Note: Students need not use formal terms for these properties.)
3.OA.6 Understand division as an unknown-factor problem.
3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
3.NBT.3 Multiply one-digit whole numbers by multiples of 10 in the range 10-90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.
Essential Concepts & Vocabulary:
multiple, multiplication, skip counting, repeated addition, repeated equal groups, times, factor, product, fair shares, partition, repeated subtraction, divide, division, equal groups drawings, properties of multiplication (zero property, identity property, associative property, commutative property, distributive property),
Multiplication strategies:
Equal Groups Drawings, Skip Counting, Repeated Addition, Number Lines, Draw an Array
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Division strategies:
Partitioning Models, Equal Groups Models, Repeated Subtraction, Draw an Array, Fact Families (Multiplication), Number Lines,
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Properties of multiplication videos:
Associative Property, Commutative Property, Distributive Property,
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