Mathematics 3. Determine and justify solutions for multi-step word problems, including problems where remainders must be interpreted.
a. Write equations to show solutions for multi-step word problems with a letter standing for the unknown quantity.
b. Determine reasonableness of answers for multi-step word problems, using mental computation and estimation strategies including rounding.
Unpacked Content
Evidence Of Student Attainment:
Students:
When given multi step word problems,
Solve a variety of multistep word problems involving all four operations on whole numbers including problems where remainders must be interpreted.
Explain and justify solutions using connections between the problem and related equations involving a single (letter) unknown.
Evaluate the reasonableness of solutions using estimation strategies.
Note: Multi step problems must have at least 3 steps.
Teacher Vocabulary:
Operation
Multi Step problem
Remainder
Unknown quantity
Equation
Rounding
Mental strategy
Partition
Estimation
Reasonableness Knowledge:
Students know:
Context situations represented by the four operations.
How to calculate sums, differences, products, and quotients.
Estimation strategies to justify solutions as reasonable. Skills:
Students are able to:
Solve multi-step word situations using the four operations.
Represent quantities and operations physically, pictorially, or symbolically.
Write equations to represent the word problem and use symbols to represent unknown quantities.
Use context and reasoning to interpret remainders.
Use estimation strategies to assess reasonableness of answers by comparing actual answers to estimates. Understanding:
Students understand that:
Using problem solving strategies will help them determine which operation to use to solve a problem.
Remainders must be interpreted based on the context, and remainders are sometimes ignored, rounded up, or partitioned. Diverse Learning Needs:
Essential Skills:
Learning Objectives: M.4.3.1: Use multiplication and division within 100 to solve word problems in 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.
M.4.3.2: Solve single-step word problems.
M.4.3.3: Recognize key terms to solve word problems. M.4.3.4: Solve division problems without remainders.
M.4.3.5: Recall basic addition, subtraction, and multiplication facts.
Prior Knowledge Skills:
Demonstrate computational understanding of multiplication and division by solving authentic problems with multiple representations using drawings, words, and/or numbers.
Identify key vocabulary words to solve multiplication and division word problems. 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.
Recall basic multiplication facts.
Add and subtract within 20.
Represent repeated addition, subtraction, and equal groups using manipulatives.
Distinguish between rows and columns.
Use repeated addition to solve problems with multiple addends.
Count forward in multiples from a given number. Recall doubles addition facts.
Model written method for composing equations.
Alabama Alternate Achievement Standards
AAS Standard:
