Learning Resource Type

Learning Activity

Solving Real World Measurement Problems

Subject Area

Mathematics

Grade(s)

2

Overview

In this elaborate activity, students will independently solve metric measurement word problems involving length. The students will combine the same length (10 cm.) multiple times. Students will use strategies based on place value and the properties of operation to add within 1,000. The students will use drawings or equations to explain their strategy.

This activity was created as a result of the ALEX Resource Development Summit.

    Mathematics (2019) Grade(s): 2

    MA19.2.12

    Add and subtract within 1000 using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method.

    Unpacked Content

    UP:MA19.2.12

    Vocabulary

    • Compose
    • Decompose

    Knowledge

    Students know:
    • how to count to 1,000.
    • how to identify hundreds, tens, and ones.
    • how to compose numbers.
    • how to decompose two digit numbers.
    • how to record strategies for solving addition and subtraction problems.

    Skills

    Students are able to:
    • add and subtract within 1000.
    • model addition problems using visual models.
    • record strategies for solving addition problems.
    • communicate the relationship between models and symbolic (numeric) representations.

    Understanding

    Students understand that:
    • relationships between models of addition/subtraction problems and written strategies of those models can be used to justify solutions.
    Mathematics (2019) Grade(s): 2

    MA19.2.21

    Use addition and subtraction within 100 to solve word problems involving same units of length, representing the problem with drawings (such as drawings of rulers) and/or equations with a symbol for the unknown number.

    Unpacked Content

    UP:MA19.2.21

    Vocabulary

    • Units of length
    • Drawings
    • Equations
    • Symbol

    Knowledge

    Students know:
    • Students know strategies for solving addition and subtraction word problems involving length.

    Skills

    Students are able to:
    • represent quantities and operations physically, pictorially, or symbolically.
    • strategically use a variety of representations to solve problems with all addition and subtraction contexts.
    • use symbols to represent unknown quantities in equations.

    Understanding

    Students understand that:
    • that they can apply the concept of length to solve addition and subtraction word problems for numbers within 100.

    Phase

    After/Explain/Elaborate
    Learning Objectives

    Learning Objectives

    The students will make sense of a problem and persevere in solving it.

    The students will solve real-world metric measurement word problems involving length.

    The students will use strategies based on place value and the properties of operation to add.

    Activity Details

    1.  Open and download Google Slides Presentation: Real-World Measurement Problems
    2. The teacher will tell the students they are going to explore measurement a little further (Slide 2).
    3. The teacher and the students will read the learning targets together (Slide 3).

    4. The teacher and students will read the problem together. The students should estimate the number of centimeters needed prior to beginning their computation. The teacher can leave the slide posted and allow the students to solve the problem independently in their journal or the teacher will distribute a task activity sheet. The task activity sheet scaffolds students to organize the information from the problem before they attempt to solve the problem. Some students will be able to do this mentally. Other students will need to record the information from the text of the problem and the picture part of the problem. This allows the students to synthesize all of the information prior to beginning the computation part of the problem (Slide 4).

    5. Choose three students to share. The lowest level shares first. The highest level shares last. The complexity of strategy may vary due to skill level or the time of the school year, so each teacher will have to look at their individual class to rank strategy complexity to determine what is the lowest level and what is the highest level. Typically, the lowest level strategy involves counting on 10 each time. The middle-level strategy will involve using strategies based on place value. The students will use a base-ten model or a number line to keep track of their count (counting strategy). The highest level strategy will involve using strategies based on place value without the use of a base-ten model or number line to keep track of the count (additive strategy). Use the student work sort organizer to evaluate student work and determine the next steps. The additive framework may be helpful when evaluating work (Slide 5).

    Assessment Strategies

    Assessment Strategies

    The teacher will use the student work sort organizer to evaluate student work and determine the next steps.

    The additive framework may be helpful when evaluating work.

    Variation Tips

    To differentiate the task, allow students to solve for only one shelf. 

    Allowing students to work work with a partner to provide scaffolding, if needed.

    Background and Preparation

    Background / Preparation

    1. Open and download Google Slides Presentation: Elaborate: Real-World Measurement Problems.
    2. If the students are not solving the problem in a math journal, print copies of the task activity sheet for each student.
    3. Print student work sort organizer.

    Digital Tools / Resources

    ALSDE LOGO