Embedded Files
Unit 8 Overview:
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)
Home Activities
Home Activities
Resources
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
Other Resources
- Strategies for Basic Multiplication Facts - Explore this website to find different strategies for multiplication facts.
- Multiplication as Repeated Addition Video - A fun video for students and parents that explains how multiplication can be represented as repeated addition.
- Using Arrays to Solve for Multiplication and Division This website provides visual examples, as well as explanations, about how to represent and interpret arrays.
- Commutative Property of Multiplication - This video shows how to use the commutative property of multiplication.
- Associative Property of Multiplication Video - This video shows how to use the associative property of multiplication.
- Distributive Property of Multiplication Video - This video shows how to use the distributive property of multiplication.
- Unlocking a Word Problem Video - Watch this video to see different strategies students use when solving multiplication and division word problems.
- Division Using Equal Groups Video - This video shows how to think of division as the inverse of multiplication by using equal groups.
Websites/Videos/Games
Websites/Videos/Games
- "Pop Up" Online Multiplication Game - Students need to hit the correct product in order for the frog to go back into the hole before time runs out.
- "Deep Dive" Online Multiplication Game - Help the scuba diver correctly answer various multiplication equations to dive deeper into the ocean.
- Missing Factor Online Game - Use the relationship between multiplication and division to find the missing factor in the equation.
- "Math Mahjong" Online Game - Try to get rid of all the tiles by matching two factors to their product.
- Math Properties Basketball Game - Play this online game by making as many baskets as you can and correctly answering questions related to the properties of multiplication.
- "Bubble Fun - Division" Online Game - Catch the fish with the quotient that matches the given equation.
- ¨Fruit Splat - Division¨ This online game allows players to practice their division facts.
- ¨Number Eaters¨ Online Game - Find the correct products before your player is eaten by a monster.
- ¨Word Problems with Katie¨ Online Activity - Practice solving multiplication and division word problems.
- Online Multi-Step Word Problem Practice - Practice solving word problems with this online activity.
- "Grand Slam" Word Problem Game - Practice solving multi-step word problems with this online game.
- "Bubble Fun" Word Problems Game - Practice identifying the correct operation to use for one-step word problems with this online game.
Math Words
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
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