Grade 5 GT Expressions and Equations

7.EE.2

About the Math

Full Standard

Understand that rewriting an expression in different forms in a problem context can shed light on the problem of how the quantities are related. For example, a + 0.05a = 1.05a means that "increase by 5% is the same as "multiply by 1.05."

Measurement Topic

This standard is reported on the report card in these quarters as follows:

**5th Grade Students Learning 5 G/T Standards**
Quarter 1	Quarter 2	Quarter 3	Quarter 4
	Report Card Measurement Topic: Demonstrates understanding of algebraic thinking, expressions, and equations.	Report Card Measurement Topic: Demonstrates understanding of algebraic thinking, expressions, and equations.

Learning Targets (I can)

Rewrite expressions in different forms.
Explain how expressions are related with or without real-world context.

About the Math

Students use properties of operations to generate equivalent expressions by applying properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Students understand that rewriting an expression in different forms in a problem context can shed light on the problem of how the quantities are related.

Progression of Standard within Grade 5 GT

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1	Quarter 2	Quarter 3	Quarter 4
		Rewrite expressions in different forms. Explain how expressions are related with or without real-world context.

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map. Information is not the complete standard.

Progression Across Grades
Grade	HS
This concept is not taught prior to grade 7.	Interpret expressions that represent a quantity in terms of its context (HS.A-SSE.A.1) Produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression (HS.A-SSE.B.3) Write a function defined by an expression in different but equivalent forms (HS.F-IF.C.8)

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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction.

Can the distributive property be applied to multiplication 4(3×7) and division 4(6÷3). Justify your answer. Show several examples.
Does the Commutative Property apply to division and subtraction? Justify your answer.
(answer: The Commutative Property does not apply to division and subtraction.)
Does the Associative Property apply to subtraction and division? Justify your answer.
(answer: The Associative Property does not apply to subtraction and division.)
Use a dictionary to find the meanings of "distribute" and "commute" that apply to mathematics. Then write an explanation of why the Distributive Property and Commutative Property are named that way.

SLIDE-BASED TASKS

These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Module 10 • Expressions

Rewrite Expressions in Different Forms to Solve Problems:

Additional TaskS

These links provide instructional ideas connected to this standard.

Lesson 6.12: Solving Problems About Percent Increase of Decrease (Open-Up Resources - Illustrative Math)
Writing Expressions (Illustrative Math)
Ticket to Ride (Illustrative Math)
Black Friday Deals (YummyMath)
Shopping Season Begins! (YummyMath)
Expressions and Equations (Engage NY, Module 3/Topic A-Lessons, 3, 4, 6)
Expressions and Equations (Georgia Curriculum Frameworks, Triangles/Quadrilaterals Lesson and Area/Algebra Lesson)

Tasks From Print Resources

These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.

Print Resources
Book Title	Grade	Pages
Teaching Student-Centered Mathematics	6-8
Groundworks	7	72-79
Lessons for Algebraic Thinking	6-8	41-62

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

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Assessment

Learning Targets

rubric

Rewrite expressions in different forms.
Explain how expressions are related with or without real-world context.

Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.

Rubric for Tasks

Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.

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