ALEX Learning Activity

  

Solving Multistep Word Problems Assessment

A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.

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  This learning activity provided by:  
Author: Hannah Bradley
System:Dothan City
School:Carver Magnet School
  General Activity Information  
Activity ID: 2507
Title:
Solving Multistep Word Problems Assessment
Digital Tool/Resource:
Solving Words Problems (+ - ÷ ×) Common Core Sheets
Web Address – URL:
Overview:

This printable worksheet will assess student mastery of transforming word problems to equations with an unknown quantity and solving the equation correctly. This resource also includes a modified assessment sheet. 

This activity results from the ALEX Resource Development Summit.

  Associated Standards and Objectives  
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
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.
Examples: in all, how much, how many, in each.
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.
    Examples: times, every, at this rate, each, per, equal/equally, in all, total.
  • 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.
    Examples: 3, 6, 9, 12; 4, 8, 12, 16.
  • Recall doubles addition facts.
  • Model written method for composing equations.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.1 Solve one-step word problems involving real-life situations using the four operations within 100 without regrouping and select the appropriate method of computation when problem solving.


Learning Objectives:

Students will solve multistep word problems with whole numbers by representing these problems using equations with a letter standing for the unknown quantity.

  Strategies, Preparations and Variations  
Phase:
After/Explain/Elaborate
Activity:

1. Each student will need a copy of page 1 of the digital resource. The teacher should instruct students to write both the equation and the answer for each word problem. (Note: The worksheet includes an answer line for each problem, so the teacher may wish to have students write their equations on the back of the paper or on a separate sheet of paper.)

2. After completing their work, students should turn in the sheet to the teacher for review.

Assessment Strategies:

The teacher will review each student's work for accuracy and completeness. An answer key is included on page 2 of the digital resource. 


Advanced Preparation:

The teacher will need to make copies of page 1 of the digital resource for each student. 

Students will need a pencil to complete the worksheet. 

Variation Tips (optional):

A modified assessment worksheet is available on page 3 of the digital resource. 

There are 10 worksheet versions available for this standard on this website, Common Core Sheets. The teacher could use other versions for assessment or practice. 

Notes or Recommendations (optional):

ALCOS 2019

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.

  Keywords and Search Tags  
Keywords and Search Tags: addition, division, equations, multiplication, multistep, subtraction, unknown, variables, whole numbers, word problems