Unit 3: Multiplication & Division 0, 1, 6-10, and Multiples of 10

This unit's main focus is multiplication and division and solving problems with units 0,1,6-9, and multiples of 10. The students will know the relationship between multiplication and division. They will be able to use manipulatives and pictures to solve a variety of problems. Knowing their facts fluently is an ongoing skill. Story problems are used for multiplication and division throughout the unit.

Essential Questions:

  • What tools and models can I use to solve and represent multiplication and division problems?
  • How can I use multiplication and division strategies to solve the known and unknown?
  • How do I determine which operations to use to solve a problem?

Essential Understandings:

  • Students will understand there is an inverse relationship between multiplication and division.
  • Students will understand there are multitudes of strategies to solve and represent multiplication/division problems.
  • Students will understand there are patterns when using the four operations.
  • Students will use place value understanding to perform multi-digit arithmetic.

Skills students will learn:

  • Interpreting products of whole numbers as a total number of objects in a number of groups.
  • Explaining what division means and how it relates to equal shares.
  • Interpreting quotients as the number of shares or the number of groups when a set of objects is divided equally.
  • Solving word problems in situations involving equal groups, arrays, and measurement quantities.
  • Representing a word problem using a picture, and equation with a symbol for the unknown number, or in other ways.
  • Determining which operation (multiplication or division) is needed to determine the unknown number.
  • Solving to find the unknown whole number in a multiplication or division equation.
  • Explaining how the properties of operations work.
  • Applying properties of operations work.
  • Applying properties of operations as strategies to multiply and divide.
  • Using multiplication to solve division problems.
  • Explaining how multiplication and division as related operations.

Vocabulary/Concepts:

  • Vocabulary - Array, Associative Property, Commutative Property, Distributive Property, Dividend, Divisor, Factor, Product, Quotient
  • From memory - Products of two one-digit numbers (0,1,2,3,4,5,6,7,8,9 facts)
  • Symbols to represent an unknown number
  • Multiplication & division are relayed operations.
  • Arithmetic patterns (even & odd numbers, patterns in the multiplication table, patterns regarding multiplication and division)
  • Strategies for multiplication and division

Websites:

Parent Helpers:


Homework_Helper-Grade_3_Module_3.pdf
eureka_math_grade_3_module_3_parent_tip_sheet.pdf