Third Grade Operations and Algebraic Thinking

Essential Skills and Knowledge	Teacher Resources	Student Resources
3.OA.A.1 Represent and solve problems involving multiplication and division.
Interpret products of whole numbers, e.g., interpret 5x7 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 5x7. "I Can" Statements: I can multiply to find the product. I can show products using equal groups, arrays, and repeated addition.	Creepy Creature Groups Arrays: An Eerily Easy Way to Multiply Multiplication Meanings 4 as a Factor Multiply by 4 Halloween Math Fun with Multiplication Multiplication Basic Facts 8 as a Factor Cityscape Project Introduction - AI Introduction to Multiplication (Two video introductions from Khan Academy) Interpret Products of Whole Numbers by Using Pictures Arrays and Number Lines *(Log In to LearnZillion before going to the link)* Interpret Products of Whole Numbers and Model Multiplication Using Array, Pictures, and Equations *(Log In to LearnZillion before going to the link)* Interpret Products of Whole Numbers *(Log In to LearnZillion before going to the link)* Solve Real World Multiplication Problems *(Log In to LearnZillion before going to the link)*	Multiplication and Division (Practice Sets) (Student Center) Picnic (Student Center) Ambleweb Multiplication Table Tester (Student Center) Balloon Pop Match (Student Center) Math Cats (Student Center) Ghost Blasters (Student Center) Groups of Dogs (Student Center) Lemonade Larry (Student Center)
3.0A.A.2 Represent and solve problems involving multiplication and division.
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. "I Can" Statements: I can find the quotient of whole numbers using equal groups. I can tell what the numbers in a division problem mean. I can explain what division means. I can show division as equal sharing.	Division as Sharing Dividing by 3, 4, and 5 Division with Pictures Division as Repeated Subtraction Division Practice Interpret Whole-Number Quotients of Whole Numbers *(Log In to LearnZillion before going to the link)* Solve Real World Division Problems *(Log In to LearnZillion before going to the link)*	Grouping Objects (Student Center) Cameron's Trip (Student Center) Aplus Math (Student Center)
3.0A.A.3 Represent and solve problems involving multiplication and division.
Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. "I Can" Statements: I can multiply to solve word problems. I can divide to solve word problems. I can decide when to multiply or divide to solve word problems.	Use Multiplication to Compare Introduction to Factor Trees - Unknown Number Swamp Monkey Word Problems Solve Multiplication and Division Problems *(Log In to LearnZillion before going to the link)* Solve Real World Division Problems *(Log In to LearnZillion before going to the link)* Solve Real World Multiplication Problems (Log In to LearnZillion before going to the link) Understand Area and Arrays (Log In to LearnZillion before going to the link)	Allen's Swamp Monkey Research Project (Student Center) Illustrate a Word Problem
3.0A.A.4 Represent and solve problems involving multiplication and division.
Determine the unknown whole number in a multiplication or division equation relating three whole numbers. "I Can" Statements: I can find the missing number in a multiplication problem. I can find the missing number in a division problem.	Fact Family Missing Numbers Unknowns with Multiplication and Division (Video introduction from Khan Academy) Determine Unknown Whole Numbers in Multiplication or Division Equation *(Log In to LearnZillion before going to the link)* Use Properties of Operations and Fact Families to Solve Word Problems *(Log In to LearnZillion before going to the link)*	Missing Number (Student Center) Fact Families (Student Center)
3.0A.B.5 Understand properties of multiplication and the relationship between multiplication and division.
Apply properties of operations as strategies to multiply and divide. "I Can" Statements: I can use the properties of multiplication and division to solve problems. I can explain the commutative property of multiplication. I can explain the associative property of multiplication. I can explain the distributive property of multiplication.	Distributive Property Apply Properties of Operations and Strategies to Multiply and Divide *(Log In to LearnZillion before going to the link)*	Relate x and ÷ (Student Center) Properties
3.OA.B.6 Understand properties of multiplication and the relationship between multiplication and division.
Understand division as an unknown-factor problem. "I Can" Statements: I can identify the multiplication problem related to the division problem. I can use multiplication to solve division problems. I can recognize and explain the relationship between multiplication and division.	Division Stories Understand Division as Unknown Factor Problems (Log In to LearnZillion before going to the link)	Division Models (Student Center) Hotel Six (Student Center)
3.OA.C.7 Multiply and divide within 100.
Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 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. "I Can" Statements: I can memorize all products within 100. I can use strategies to solve a multiplication problem. I can use strategies to solve a division problem.	Multiplication Targets 0-10 Factors of Nine Factors of Three Concentration Game Factors of Two and Five Concentration Game Factors of Two, Three, and Four Factors of Six Concentration Game Multiplication and Division within 100 (Log In to LearnZillion before going to the link) Use properties of Operations and Fact Families to Solve Word Problems *(Log In to LearnZillion before going to the link)* Solve Real World Multiplication Problem (Log In to LearnZillion before going to the link)	Multiply/Divide With Factors 1-10 (Practice Set) (Student Center) Sum Sense (Student Center) Fluency for Multiplication (Student Center) Nine Pattern (Student Center)
3.OA.D.8 Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. "I Can" Statements: I can identify the order of operations of a problem. I can identify different strategies for estimating. I can construct an equation with a letter standing for the unknown quantity. I can solve two-step word problems using the four operations. I can justify my answer using estimation strategies and mental computation.	Problem Solving Two-step Problems - Bar Model Strategy Two-step Problems with 3-Digit Numbers - Bar Model Strategy Two-Step Problem Solving Introduction Video Set (Video introductions from Khan Academy) Solving Two Step Word Problems Including Those with Unknown Quantities *(Log In to LearnZillion before going to the link)*	Two-Step Word Problems (Student Center) Word Problem Data Base (Student Center) The Bananas Problem (Student Center) Divide Larger Numbers Word Problems (Student Center) Grand Slam Math (Student Center) Math Hoops (Student Center) The Parade of Legs (Student Center)
3.OA.D.9 Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. "I Can" Statements: I can identify patterns. I can explain rules for a pattern using properties of operations. I can explain relationships between the numbers in a pattern.	Multiplying with 0 and 1 Threes Patterns with 2 and 5 Whole Number Patterns Identify Patterns on a Function Table Identify Patterns using a Function Table Patterns using a Table Number Patterns Identify and Explain Arithmetic Patterns Using Properties of Operations *(Log In to LearnZillion before going to the link)*	Choose Your Own Function! (Student Center) 100 Chart
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Teacher Notes

Operations and Algebraic Thinking Activities	Website/Activity	Content Standards/Technology Standards
Represent and solve problems involving multiplication and division.	Interpret Products of Whole Numbers Using Pictures, Arrays, and Number lines Interpret Products of Whole numbers Interpret products of Whole Numbers Solve Real Wold Multiplication Problems Creepy Creature Group Arrays: An Eerily Easy Way to Multiply Multiplication Meanings 4 as a Factor Multiply by 4 Halloween Math Fun with Multiplication Multiplication Basic Facts 8 as a factor Cityscape Project - AI Introduction to Multiplication Picnic Multiplication and Division (Practice Sets) Amble Web Multiplication Table Tester Baloon Pop Match Math Cats Ghost Blasters Groups of Dogs Lemonade Larry	Common Core: 3.OA.1 Interpret products of whole numbers, e.g., interpret 5 x 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 x 7.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Represent and solve problems involving multiplication and division.	Interpret Whole-Number Quotients of Whole Numbers Solve Real World Division Problems Division as Sharing Dividing by 3, 4, 5 Division with Pictures Division as Repeated Subtraction Division Practice Grouping Objects Cameron's Trip Aplus Math	Common Core: 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. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷8.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Represent and solve problems involving multiplication and division.	Introduction to Factor Trees - Unknown Number Swamp Monkey Word Problems Allen's Swamp Monkey Research Project Solve Multiplication and Division Word Problems Solve Real World Division Problems Solve Real World Multiplication Problems Understand Area and Arrays Use Multiplication to Compare Illustrate a Word Problem	Common Core: 3.OA.3 Use multiplication and division within 100 to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Represent and solve problems involving multiplication and division.	Determine unknown whole numbers in Multiplication or Division Equations Use Properties of Operations and Fact Families to Solve Word Problems Unknowns with Multiplication and Division Fact Family Missing Numbers Missing Number Fact Families	Common Core: 3.OA.4 Determine the unknown whole number in a multiplication or division equation relating three whole numbers.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Understand properties of multiplication and the relationship between multiplication and division.	Apply Properties of Operations and Strategies to Multiplication and Division Distributive Property Relating x and ÷ Properties	Common Core: 3.OA.5 Apply properties of operations as strategies to multiply and divide.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Understand properties of multiplication and the relationship between multiplication and division.	Understand Division as Unknow Factor Problems Division Stories Division Models Hotel Six	Common Core: 3.OA.6 Understand division as an unknown-factor problem.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Multiply and divide within 100.	Multiplication Targets 0-10 Multiply and Divide within 100 Use Properties of Operations and Fact Families to Solve Word Problems Solve Real World Multiplication Problems Factors of Nine Factors of Three Concentration Game Factors of Two and Five Concentration Game Factors of Two, Three, and Four Factors of Six Concentration Game Multiply/DIvide With Factors 1-10 (Practice Set) Sum Sense Multiplication Table Trees Fluency for Multiplication Nine Pattern	Common Core: 3.OA.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that 8 x 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.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Solve problems involving the four operations, and identify and explain patterns in arithmetic.	Two Step Problems - Bar Model Strategy Two Step Problems with 3-digit Numbers - Bar Model Strategy Two-Step Problem Solving Introduction Video Set Problem Solving Word Problem Data Base Two-Step Word Problems The Bananas Problem Divide Larger Numbers Word Problems Grand Slam Math Math Hoops The Parade of Legs	Common Core: 3.OA.8 Solve two-step word problems using the four operations. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.
Solve problems involving the four operations, and identify and explain patterns in arithmetic.	Multiplying with 0 and 1 Threes Patterns with 2 and 5 Whole Number Patterns Identify Patterns on a function Table Identify Patterns using a Function Table Patterns Using a Table Number Patterns 100 Chart	Common Core: 3.OA.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.
		Technology Standard: 3.0-Technology for Learning and Collaboration: Students will use a variety of technologies for learning and collaboration.

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