Unit 5
Developing Relationships Between Multiplication and Division (20 Days)
Unit 5 Overview:
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)
Home Activities
Home Activities
Resources
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?
- 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.
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.
- "Bubble Fun - Division" Online Game - Catch the fish with the quotient that matches the given equation.
- Math Properties Basketball Game - Play this online game by making as many baskets as you can and answering questions correctly related to the properties of multiplication.
- Fishing for Facts - An online game to practice basic fact acquisition.
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.
- Multiplying on a Number Line - This video demonstrates how to represent a multiplication equation on a number line.
- 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.
Math Words
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