UNIT PLAN TEMPLATE
Grade Level: 7th
Unit Name: Introduction Linear Relationships
Unit Description: Use properties of operations to generate equivalent expressions. (Cluster 1)
Length: 4-5 weeks
Enduring
Understandings
MP2 - Reason abstractly and quantitatively
MP4 – Model with Mathematics
MP7 – Look for and make use of structure
Scaffolding
Maintain vocabulary in notebook and word wall in class.
Essential
Questions
When and how are expressions, equations, inequalities and graphs applied to real
world situations?
How can the order of operations be applied to evaluating expressions, and solving
from one-step to multi-step equations?
Common Core
Standards
Primary
Secondary
Primary:
7.EE.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear
expressions with rational coefficients.
7.EE.2 Understand 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.
7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and
construct simple equations to solve problems
Secondary:
7.NS.1 Apply and extend previous understandings of addition and subtraction to add and
subtract rational numbers;
7.NS.2 Apply and extend previous understandings of multiplication and division and of
fractions to multiply and divide rational numbers.
Cognitive Skills
Create algebraic expressions from context
Create algebraic expressions from word expressions
Recognize equivalent expressions
Apply the distributive property to generate equivalent expressions
Simplify algebraic expressions
Content
Connected Mathematics 2
McDougal Littell Middle School Math Resource Books
Prepdog.org (pre-assessment)
Knowledge Center (pre-assessment)
EDC Ramp-up pages
Mathops.com
Houghton-Mifflin Middle School Math
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UNIT PLAN TEMPLATE
Assessments
(D) Diagnostic
(F) Formative
(S) Summative
Pre-assessment: Prepdog.org Grade 7 Basic Math test (D)
MARS Task (D)
CM2 Checkup Quiz (F)
CM2 Unit Test (S)
Linear algebra w/ one variable Benchmark test (S)
Texts/
Resources
CM2: Accentuate the Negative – Investigation 4: Order of Operations
CM2: Moving Straight Ahead – Investigation 1: Walking Rates
McDougal Littell Math Resource Book – Chapter 1
CM2: Special Needs Handbook
Learning
Activities
Week 1:
Use variables to create and solve linear equations:
Day 1 Take Mid-unit Test (Summative Test)
CM2: Moving Straight Ahead –Walking Rates
Day 2: Introduce new terms and concepts p. 5
Day 3-4: Problem 1.1 pp. 5-6; ACE#1-2, 15-18 pp. 12-17
Day 4: Problem 1.2 pp. 6-7; ACE#3-5, 19-22, 30 pp. 12-21
Day 5: Problem 1.3 pp. 8-9; ACE#6-9, 23-26, 31, 32 pp. 14-22
Week 2:
Day 1: Problem 1.4 pp. 10-11; ACE#10-14, 27-29, 33 pp. 15-22
Day 2: Math Reflections p. 23 and review for quiz
Day 3: Take MARS Assessment or CM2 Checkup Quiz
Recognize equivalent expressions:
Day 4: McDougal-Littell Math – Lesson 1.4 – Evaluate expressions inside grouping symbols
pp. 35-40
Day 5: Introduce Thinking Through Mathematics website to class and take placement test
Week 3:
How can we find and analyze the relationship among numerical patterns?
Apply the distributive property to generate equivalent expressions:
CM2: Accentuate the Negative – Properties of Operation
Day 1: CM2: Accentuate the Negative – Problem 4.1 Order of Operations pp. 60-63 w/ ACE#
1-2,8-29, 36-43 pp. 69-74
Day 2: Problem 4.2 pp. 64-65; ACE# 3-4, 30-32, 44 pp. 69-74
Day 3: Problem 4.3 pp. 66-67 w/ ACE#5-7, 33-35, 45, 46 pp. 69-74
Day 4: Math Reflections p. 78
Day 5: Individual Work on Thinking Through Mathematics website for students’ intervention
Week 4:
Simplify algebraic expressions:
Day 1: Mathops.com - Section 5 – Lessons 1,2,8
Day 2: Final Assessment: Algebra w/ one variable Benchmark Test
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UNIT PLAN TEMPLATE
Differentiation
Descartes by RIT Band 201-220:
Evaluate numerical expressions using grouping symbols w/whole numbers only
Demonstrate an understanding of the distributive property of multiplication by decomposing a
term
Calculates the value of a power
Uses powers to represent exponent of 10s
Descartes by RIT Band 221-240:
Uses the distributive property
Uses expressions to represent situations that involve variable quantities with exponents
Recognizes commutative, associative, distributive, symmetric, transitive and reflexive
properties.
Evaluate numerical expressions using the order of operations
ELL
DLS
Technology
Interventions
CM2: Special Needs Handbook pp. 68-72, 96, 98-100
Use CM2 Special Needs Unit Test Question #1, 4, 5 pp. 74-77
For Math Anxiety: Five minutes before an assessment, have students to write down all of their
thoughts about taking a math quiz or test. This journaling remains with the student
Introduce students to online resources: khanacademy.org, and mathops.com
Also refer to online resource that accompanies this CM2 curriculum, phschool.com
Use Thinking Through Mathematics once a week to continue personal intervention of math
skills.
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