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:
- Illustrative Mathematics
- Provider:
- Illustrative Mathematics
- Provider Set:
- Illustrative Mathematics
- Date Added:
- 08/15/2012
- License:
-
Creative Commons Attribution
- Language:
- English
- Media Format:
- Downloadable docs, Text/HTML
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.