ALEX Classroom Resource

  

Solving Two-Step Word Problems

  Classroom Resource Information  

Title:

Solving Two-Step Word Problems

URL:

https://aptv.pbslearningmedia.org/resource/ea20e285-12cc-4115-9050-e7f1afbf1d58/solving-2-step-word-problems/

Content Source:

PBS
Type: Audio/Video

Overview:

In third grade, students will solve two-step word problems using addition, subtraction, multiplication, and division. For example: There were ten adults and five children at the movies. Each adult ticket costs $8.00 and each child ticket costs $3.00. What is the total cost of all the tickets? The video demonstrates how to solve this problem.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 3
8. Determine and justify solutions for two-step word problems using the four operations and write an equation with a letter standing for the unknown quantity. Determine reasonableness of answers using number sense, context, mental computation, and estimation strategies including rounding.
Unpacked Content
Evidence Of Student Attainment:
Students:
When given a variety of two-step word problems involving all four operations,
  • Apply understanding of operations to find solutions.
  • Use a model to represent the problem situation.
  • Write an equation to represent the problem using a symbol for the unknown quantity.
  • Explain and justify strategies and solutions.
  • Apply understanding of operations and estimation strategies including rounding to evaluate reasonableness of the solution.
Teacher Vocabulary:
  • Unknown quantity
  • Mental computation
  • Estimation
  • Variable
  • Reasonableness
  • Rounding
  • Expression
  • Equation
Knowledge:
Students know:
  • Characteristics of addition, subtraction, multiplication, and division.
  • Strategies for addition, subtraction, multiplication, and division.
  • Strategies for mental computation and estimating sums, differences, products, and quotients.
Skills:
Students are able to:
  • Use a variety of strategies to solve two-step word problems involving all four operations.
  • Write an equation to represent the problem context, and use a symbol for the unknown quantity.
  • Justify strategy and solutions using mathematical vocabulary.
  • Determine and justify reasonableness of solutions using mental computation strategies and estimation strategies.
Understanding:
Students understand that:
  • Mathematical problems can be solved using a variety of strategies, models, and representations.
  • Contextual situations represented by multiplication and division.
  • Reasonableness of solutions can be evaluated by using estimation strategies.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.3.8.1: Define the identity property of addition and multiplication.
M.3.8.2: Estimating sums and differences using multiple methods, including compatible numbers and rounding, to judge the reasonableness of an answer.
M.3.8.3: Apply commutative, associative, and identity properties for all operations to solve problems.
M.3.8.4: Identify a rule when given a pattern.
M.3.8.5: Solve addition and subtraction problems, including word problems, involving one-and two digit numbers with and without regrouping, using multiple strategies. M 3.8.6: 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.3.8.7: Represent multiplication and division with manipulatives.
M.3.8.8: Recall basic addition and subtraction facts.

Prior Knowledge Skills:
  • Explain addition and subtraction problems using concrete objects, pictures.
  • Use multiple strategies to add and subtract including counting on, counting back and using doubles.
  • Create a number pattern.
  • Use multiple strategies to add and subtract including counting on, counting back and using doubles.
  • Recall single-digit subtraction facts.
  • Recall single-digit addition facts.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.3.7 Demonstrate fluency of multiplication using skip counting, multiples of numbers, number charts, arrays, etc.


Tags: four operations, twostep, word problems
License Type: Custom Permission Type
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Partnered Event: ALEX Resource Development Summit
Accessibility
Comments

ALCOS 2019

8. Determine and justify solutions for two-step word problems using the four operations and write an equation with a letter standing for the unknown quantity. Determine reasonableness of answers using number sense, context, mental computation, and estimation strategies including rounding.
The standard is limited to problems posted with whole numbers and having whole number answers; students should know how to perform operations in order in the conventional order when there are no parentheses to specify a particular order.

 

  This resource provided by:  
Author: Michelle Frye
The event this resource created for:ALEX Resource Development Summit
Alabama State Department of Education