Unit 5

Developing Relationships Between Multiplication and Division (20 Days)

Unit 5 Overview:

In unit 5, students will relate their understanding of multiplication to division. Students will understand division in terms of a missing factor. They will use their understanding of multiplication, division, addition, and subtraction to solve two-step word problems with the unknown in various positions. Students will also understand and apply the associative, commutative, and distributive properties.

  • Students will interpret products of whole numbers by representing a real life situation or a visual context as an equation and/or expression. (OA.A.1)
  • Students will find the area of a rectangle with whole number side lengths by tiling and show that the area is the same as would be found by multiplying side lengths to find areas of rectangles with whole number side lengths in the context of solving real world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning. (MD.C.7ab)
  • Students will identify, describe, and explain the patterns of multiplication and division including within the Multiplication Table. (OA.D.9)
  • Students will multiply one-digit whole numbers by multiples of 10 in the range 10-90 using strategies based on place value and properties of operations. (NBT.A.3)
  • Students will begin to understand division in terms of a missing factor, either the number of groups or the number of items in each group and write an equation that represents the situation. (OA.A.2, OA.A.4, OA.C.7)
  • Students will continue to use their understanding of multiplication within 100 to solve word problems in factor or product unknown situations involving equal groups, arrays and measurement quantities (area) and write an equation to represent the problem with a symbol for the unknown whole number in the problem and begin to use this thinking for division. (OA.A.3)
  • Students will understand and apply properties of multiplication (commutative, associative, and distributive using parenthesis within the Associative and Distributive Properties) and understand the relationship between multiplication and division. (OA.A.4, OA.B.5)
  • Students will solve two-step scaffolded word problems involving addition, subtraction and multiplication in which the unknown is in a variety of positions, using parenthesis to separate the operations. (OA.D.8, OA.B.4, OA.B.5)
Grade 3 Unit 5 Family Resource

Home Activities

Resources

  • Look for ways to connect multiplication to your child's everyday life.
    • Planning for a party? Discuss how many packages of an item you will need based on the amount in the package and your total needed.
      • Ex. We need 25 hamburger rolls and they come in packages of 8. If we buy 3 packages will we have enough?
      • There are 5 cars driving to the game and each car has 4 people in it. How many people are going altogether?

Websites/Videos/Games

Other Resources

Math Words

These are vocabulary words that students will be exposed to throughout the unit.

  • division
  • inverse operation
  • number sentence
  • area
  • area model
  • array
  • associative property
  • commutative property
  • dimension
  • equal groups
  • equation
  • expression
  • factor
  • formula
  • (A= L x W)
  • interpret
  • measurement
  • multiples
  • multiplication
  • number line
  • place value
  • plane figure
  • product
  • rectangle
  • represent
  • side length
  • symbol
  • tiling
  • unknown
  • variable
  • width
  • 2D
  • distributive property
  • divide
  • dividend
  • divisor
  • Multiplication Table
  • quotient
  • apply
  • describe
  • explain
  • identify
  • identity property
  • inverse operation
  • number sentence
  • parenthesis
  • pattern
  • solve
  • symbol
  • unknown
  • reasonable
  • separate
  • addend
  • addition
  • difference
  • estimate
  • factor
  • minuend
  • model
  • multiplication
  • operation
  • parenthesis
  • product
  • represent
  • round
  • solve
  • strategy
  • subtraction
  • subtrahend
  • sum