Unit 8

Deepening Understanding of Multiplication and Division Relationships (25 Days)

Unit 8 Overview:

In this unit, students will recognize multiplication and division as inverses of one another. They will use this knowledge, as well as a variety of strategies, to solve equations involving multiplication and division with the unknown in various locations. They will also apply their understanding of the commutative, associative, and distributive properties to solve such problems. Students will solve two-step word problems using all four operations.

  • Students will measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters. (MD.A.2)
  • Students will add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units, e.g., by using drawings (such as beaker with a measurement scale) to represent the problem. (MD.A.2)
  • Students will interpret whole-number quotients, 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. (OA.A.2)
  • Students will use multiplication and division within 100 to solve word problems in all 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. (OA.A.3)
  • Students will determine the unknown whole number in a multiplication or division equation relating three whole numbers. (OA.A.4)
  • Students will apply properties of operations (commutative, associative, and distributive) as strategies to multiply and divide. (OA.B.5)
  • Students will demonstrate an understanding of 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.B.6)
  • Students will multiply and divide within 100 by using strategies that are based on properties and patterns of multiplication. (OA.C.7) (OA.D.9)
  • Students will solve two-step word problems using the four operations, represent these problems using equations with a letter standing for the unknown quantity, and assess the reasonableness of answers using mental computation and estimation strategies including rounding.(OA.D.8)
Grade 3 Unit 8 Family Resource

Home Activities

Resources

  • When purchasing soda at the store, discuss the amount of liters bottles hold.
  • When dividing out or sharing items, such as candies or cookies, discuss the total amount (dividend) and how many groups/people you are dividing between (divisor) and the total each group/person will get (quotient).


Other Resources

Websites/Videos/Games

Math Words

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

  • commutative property
  • divisor
  • groups
  • measurement
  • partition
  • represent
  • variable
  • area model
  • distributive property
  • equal groups
  • identity property
  • pattern
  • solve
  • zero property
  • array
  • dividend
  • equation
  • interpret
  • number line
  • product
  • strategy
  • associative property
  • division
  • factor
  • inverse operation
  • number sentence
  • quotient
  • unknown
  • divide
  • mental computation
  • addend
  • assess
  • bar model
  • difference
  • dividend
  • equality model
  • equation
  • estimate
  • evaluate
  • expression
  • factor
  • minuend
  • multiply
  • operation
  • parentheses
  • pattern
  • property
  • quantity
  • quotient
  • reasonable
  • represent
  • round
  • solve
  • subtrahend
  • sum
  • symbol
  • beaker
  • drawings
  • add
  • capacity
  • divide
  • estimate
  • grams (g)
  • kilograms (kg)
  • liters (l)
  • liquid volume
  • mass
  • measure
  • measurement
  • multiply
  • operation
  • represent
  • scale
  • solve
  • standard units
  • subtract
  • variable
  • volume