Mathematics MA2019 (2019) Grade: 3 3. Solve word situations using multiplication and division within 100 involving equal groups, arrays, and measurement quantities; represent the situation using models, drawings, and equations with a symbol for the unknown number.
Unpacked Content
Evidence Of Student Attainment:
Students:
When given a variety of word problems involving multiplication and division within 100,
Write and evaluate multiplication and division expressions to represent the word situation.
Explain and justify solutions using a variety of representations (equal groups, arrays, area models, number lines, tape diagrams).
Use the relationship between multiplication and division to write equations with an unknown factor. Teacher Vocabulary:
Equal groups
Arrays
Measurement division
Factor
Product
Quotient
Partitive division
Represent
Unknown Knowledge:
Students know:
Multiplication situations can be related to division contexts by identifying the total number of groups and the number of items in a group.
Strategies to solve problems involving multiplication and division. Skills:
Students are able to:
Use models, drawings, and equations to represent a multiplication or division situation.
Use symbols to represent unknown
quantities in equations.
Solve word situations with multiplication and division within 100 involving equal groups, arrays, and measurement quantities. Understanding:
Students understand that:
a word problem with an unknown product is a multiplication problem, and a word problem with an unknown number of groups or an unknown group size can be thought of as a division problem or a multiplication problem with an unknown factor. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.3.3.1: Demonstrate computational understanding of multiplication and division by solving authentic problems with multiple representations using drawings, words, and/or numbers.
M.3.3.2: Identify key vocabulary words to solve multiplication and division word problems.
M.3.3.3: Solve word problems that call for addition of three whole numbers whose sum is less than or equal to 20, e.g., by using objects, drawings, and equations with a symbol for the unknown number to represent the problem.
M.3.3.4: Recall basic multiplication facts.
M.3.3.5: Add and subtract within 20.
M.3.3.6: Represent repeated addition, subtraction, and equal groups using manipulatives.
Prior Knowledge Skills:
Define pair, odd and even.
Recall doubles addition facts with sums to 20.
Apply signs + and = to actions of joining sets.
Model written method for composing equations.
Skip count by 2s.
Represent addition and subtraction with objects, pictures, fingers, or sounds within twenty.
Understand addition as putting together and subtraction as taking from.
Establish one-to-one correspondence between numbers and objects.
Rote count to 20.
Notice same/different and some/all.
Establish one-to-one correspondence between numbers and objects.
Point to matching or similar objects.
Alabama Alternate Achievement Standards
AAS Standard: M.AAS.3.3 Use strategies (arrays, equal groups, manipulatives, etc.) to model multiplication and division equations to find an unknown number.