enVision Mathematics Topic 4
7th Grade; November – December (5 weeks); 2nd Quarter
Embedded Files
Topic Title(s):
Generate Equivalent Expressions
Prepared Graduates:
MP7. Look for and make use of structure.
Standard(s):
2. Algebra and Functions
The highlighted evidence outcomes are the priority for all students, serving as the essential concepts and skills. It is recommended that the remaining evidence outcomes listed be addressed as time allows, representing the full breadth of the curriculum.
Students Can (Evidence Outcomes):
7.EE.A. Expressions & Equations: Use properties of operations to generate equivalent expressions.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. (CCSS: 7.EE.A.1)
Demonstrate that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” (CCSS: 7.EE.A.2)
Recognize that the structures of equivalent algebraic expressions provide different ways of seeing the same problem. (MP7)
Inquiry Questions
How is it determined that two algebraic expressions are equivalent?
What is the value of having an algebraic expression in equivalent forms?
Coherence Connections
This expectation represents major work of the grade.
In Grade 6, students apply and extend previous understandings of arithmetic to algebraic expressions.
In Grade 8, students use equivalent expressions to analyze and solve linear equations and pairs of simultaneous linear equations. In high school, students use equivalent expressions within various families of functions to reveal key features of graphs and how those features are related to contextual situations.
Academic Vocabulary & Language Expectations:
Assessments:
Instructional Resources & Notes:
enVision Mathematics Topic 4
Let's Investigate! Tasks
Let's Investigate! Name Game (TE) (relates to Lesson 4-3)
Let's Investigate! Expandable (TE) (relates to Lesson 4-4)
Tier 1 Intervention & Supports (i-Ready Tools for Instruction):
Tier 1 Intervention: Write Equivalent Linear Expressions, Analyze Relationships in Equivalent Expressions
Coherence Map/Concept Progressions: 7.EE.A.1
enVision Mathematics 6-8 & Number Worlds Connections (for SVVSD Special Education teachers only)
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