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This Relationships Between Quantities and Reasoning with Equations and Their Graphs unit plan also includes:
- Student Materials
- Copy Ready Materials
- Lesson Plan
- Teacher Reference
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Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving quadratic equations, systems of linear equations, and systems of inequalities. Throughout the unit, a high importance is placed on describing and interpreting results, not just reporting numerical answers. The level of detail in the daily teaching notes and answer keys makes this extensive unit a nearly turn-key addition to any curriculum.
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CCSS:
Designed
Concepts
Additional Tags
Instructional Ideas
- Consider breaking up the unit and using individual parts as remediation or supplements to existing curriculum
- Have pairs of students time each other traveling a path in different ways then graphing the piecewise function
- Use systems of equations and inequalities to develop a mock business model by accounting for overhead, taxes, supply, and demand of a product, etc.
- Great unit for a long-term substitute situation or homebound learners
Classroom Considerations
- Teaching notes contain remediation and accommodation suggestions for tricky parts throughout the individual lessons
- Student worksheets are attached in the resources section, matching the daily homework answer keys in the teaching references
- Each day's assignments depend highly on the prior days, perhaps requiring out-of-class remediation for absent students to catch back up
Pros
- Detailed plans, remediation, and assignments included for every day of the multi-week unit
- Clear emphasis on analyzing and interpreting results
- Daily lessons gradually build math skills and develop math intuition based on previous work
- Multiple situations and topics covered in the problem sets appeal to a wide variety of interests
Cons
- Work on piece-wise functions, setting up polynomials, and solving quadratics is not spiraled into later work on solving equations/inequalities and systems of equations/inequalities
Common Core
6.NS.C.7.a
6.NS.C.7.b
6.EE.A.3
6.EE.A.4
6.EE.B.5
6.EE.B.6
6.EE.B.7
6.EE.B.8
7.EE.A.1
7.EE.A.2
7.EE.B.3
7.EE.B.4.a
8.EE.A.1
8.EE.A.2
8.EE.C.7.a
8.EE.C.8.a
HSN-Q.A.1
HSN-Q.A.2
HSN-Q.A.3
HSA-SSE.A.1.a
HSA-SSE.A.2
HSA-CED.A.1
HSA-CED.A.2
HSA-CED.A.3
HSA-CED.A.4
HSA-REI.A.1
HSA-REI.B.3
HSA-REI.C.5
HSA-REI.C.6
HSA-REI.D.10
HSA-REI.D.12
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MP6
MP7
MP8