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Description

Overview:
This problem involves solving a system of algebraic equations from a context: depending how the problem is interpreted, there may be one equation or two.
Subject:
Mathematics, Algebra
Level:
High School
Grades:
Grade 9, Grade 10, Grade 11, Grade 12
Material Type:
Activity/Lab
Author:
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Date Added:
08/15/2012
License:
Creative Commons Attribution Creative Commons Attribution
Language:
English
Media Format:
Downloadable docs, Text/HTML

Comments

Patricia Helmuth on Nov 16, 11:31am

I really love the heart of this problem but would not recommend presenting all three tasks to students at the same time. You might even start out the activity with a "notice/wonder" with no question attached, and then bridge to Task a, offering support to struggling students and giving Task b to students who get finished early. I agree with the commentary in this resource in that Task c should be tackled as a whole group lesson/discussion.

Patricia Helmuth
on Nov 16, 09:50am Evaluation

CCSS.Math.Content.HSA-REI.C.6: Superior (3)

While this task does not specifically recommend graphing the equations to come to a solution, it does present the task in a modeling context which asks for exact and approximate values.

Patricia Helmuth
on Nov 16, 09:50am Evaluation

Quality of Explanation of the Subject Matter: Limited (1)

The explanation offered for Task a is procedural and does not attempt to explain why the procedure works.

Patricia Helmuth
on Nov 16, 09:50am Evaluation

Utility of Materials Designed to Support Teaching: Limited (1)

While the explanation does include guess & check as a viable solution strategy, it would be improved by including other problem solving strategies that could be used to make the problem accessible to students at varying skill levels (e.g. tables).

Patricia Helmuth
on Nov 16, 09:50am Evaluation

Quality of Instructional and Practice Exercises: Strong (2)

As the task is presenting in a modeling context and there is more than one task, some students will be able to gain conceptual understanding of systems of equations and be able to apply this knowledge to new mathematical situations.

Patricia Helmuth
on Nov 16, 09:50am Evaluation

Opportunities for Deeper Learning: Limited (1)

While opportunity for deeper learning with these tasks is strong, the explanation lacks direction on how to implement the tasks in the classroom so that students are engaged in productive struggle, problem solving, and collaboration.

Kathleen Mack
on Mar 27, 03:06am Evaluation

CCSS.Math.Content.HSA-REI.C.6: Strong (2)

The content aligns with portions of the standard. This could be improved with graphing to also show how to solve with systems of linear equations.

Kathleen Mack
on Mar 27, 03:06am Evaluation

Quality of Explanation of the Subject Matter: Limited (1)

This subject matter is limited in explanation of solving linear equations. It is explained correctly but there is a lack of connection to other associated concepts. Most learners would benefit with this material as a review.

Kathleen Mack
on Mar 27, 03:06am Evaluation

Utility of Materials Designed to Support Teaching: Strong (2)

There are no suggestions for teaching with this material for a variety of learners.

Kathleen Mack
on Mar 27, 03:06am Evaluation

Quality of Assessments: Not Applicable (N/A)

Although the material states it could be used for instructional or assessment purposes, it appears to serve as an instructional tool.

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Average Score (3 Points Possible)
Degree of Alignment2.5 (2 users)
Quality of Explanation of the Subject Matter1 (2 users)
Utility of Materials Designed to Support Teaching1.5 (2 users)
Quality of AssessmentsN/A
Quality of Technological InteractivityN/A
Quality of Instructional and Practice Exercises2 (1 user)
Opportunities for Deeper Learning2 (2 users)

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