3.PAR.3Multiplication and Division Within 100

Expectations

• 3.PAR.3.1

  Describe, extend, and create numeric patterns related to multiplication. Make predictions related to the patterns.

• 3.PAR.3.2

  Represent single digit multiplication and division facts using a variety of strategies. Explain the relationship between multiplication and division.

• 3.PAR.3.3

  Apply properties of operations (i.e., commutative property, associative property, distributive property) to multiply and divide within 100.

• 3.PAR.3.4

  Use the meaning of the equal sign to determine whether expressions involving addition, subtraction, and multiplication are equivalent.

• 3.PAR.3.5

  Use place value reasoning and properties of operations to multiply one-digit whole numbers by multiples of 10, in the range 10-90.

• 3.PAR.3.6

  Solve practical, relevant problems involving multiplication and division within 100 using part-whole strategies, visual representations, and/or concrete models.

• 3.PAR.3.7

  Use multiplication and division to solve problems involving whole numbers to 100. Represent these problems using equations with a letter standing for the unknown quantity. Justify solutions.

Georgia Milestones coverage

• Mathematics Grade 3 (EOG) · Patterning & Algebraic Reasoning

  Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.

  about 24% of the test · 14 points

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Recognize and extend numeric patterns related to multiplication within 100. Recognize equivalent multiplication expressions with products within 100 by applying the commutative property. Solve multiplication and division problems within 100 using visual representations. Represent real-life problems involving multiplication and division of whole numbers within 100.

Developing

Describe a rule for numeric patterns related to multiplication within 100. Recognize equivalent multiplication expressions with products within 100 by applying the distributive or associative property. Solve multiplication and division problems within 100 in a variety of ways. Represent real-life problems involving multiplication and division of whole numbers within 100 using equations with a letter standing for the unknown quantity.

Proficient

Create a numeric pattern related to multiplication that matches a given rule, and make predictions related to the pattern. Solve real-life problems by explaining the relationship between multiplication and division. Use place value reasoning to multiply a one-digit number by a multiple of 10 in the range of 10–90. Solve practical, relevant problems involving multiplication and division within 100, including using equations with a letter standing for the unknown quantity.

Distinguished

Solve complex or multi-step real-life problems involving the four operations within 100 using properties of operations and letters standing for the unknown quantities. Justify solutions within the context of real-life problems.

The same standard across grades

1. Grade 1 · 1.PAR.3

   Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations.

2. Grade 3 · 3.PAR.3 (this standard)

   Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.

3. Grade 4 · 4.PAR.3

   Generate and analyze patterns, including those involving shapes, input/output diagrams, factors, multiples, prime numbers, and composite numbers.

4. Grade 7 · 7.PAR.3

   Represent authentic situations using equations and inequalities with variables; solve equations and inequalities symbolically, using the properties of equality.

5. Grade 8 · 8.PAR.3

   Create and interpret expressions within relevant situations. Create, interpret, and solve linear equations and linear inequalities in one variable to model and explain real phenomena.