-
TCV.6.EE.3 Apply the properties of operations to
generate equivalent expressions.
-
TCV.6.EE.4 Demonstrate how expressions are
equivalent (i.e., when the two expressions name the same number
regardless of which value is substituted into them).
-
TCV.6.EE.6 Use variables to represent numbers and
write expressions when solving a real-world or mathematical problem;
-
CC.6.EE.8a. Write an inequality of the form x > c
or x < c to represent a constraint or condition in a real-world or
mathematical problem.
-
CC.6.EE.8b. Represent inequalities of the form X >
C or X < C on a number line to show that these inequalities have
infinitely many solutions.
-
TCV.7.EE.1 (1) Apply properties of operations to
add and subtract linear expressions with rational coefficients.
-
TCV.7.EE.1 (2) Apply the distributive property to
factor and expand linear expression and rational coefficients.
-
CC.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. For example, a + 0.05 a =
1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
-
TCV.7.EE.3 (1) Solve multi-step real-life and
mathematical problems posed with positive and negative rational
numbers in any form.
-
TCV.7.EE.3 (2) Convert between forms of rational
numbers as appropriate when solving multi-step equations.
-
TCV.7.EE.3 (3) Assess the reasonableness of answers
to problems with positive and negative numbers using mental
computation and estimation strategies.
-
TCV.7.EE.4 Use variables to construct simple
equations or inequalities to solve real-world or mathematical
problems.
-
TCV.7.EE.4a (1) Solve equations of the form px + q
= r and p(x + q) = r fluently, where p, q, and r are specific rational
numbers.
-
TCV.7.EE.4a (2) Solve word problems of the form px
+ q = r and p(x + q) = r fluently, where p, q, and r are specific
rational numbers
-
TCV.7.EE.4b (1) Solve word problems leading to
inequalities of the form px + q > r or px + q < r, where p, q, and r
are specific rational numbers.
-
TCV.7.EE.4b (2) Graph the solution set of the
inequality and interpret it in the context of the problem it solves.
|
Concept 1:
Properties to Evaluate Expressions [CC.6.EE.3; CC.6.EE.4] |
| Essential Questions: |
- 1. How do I simplify expressions?
- 2. What properties and conventions do I
need to understand in order to simplify and evaluate algebraic
expressions?
- 3.What properties and conventions do I
need to understand in order to simplify and evaluate algebraic
expressions?
|
| Key Vocabulary:
Note per DOE - Vocabulary is not to be
memorized by students |
| algebraic
expressions |
variable |
| numeric expressions |
term |
| Associative
Properties |
coefficient |
Commutative
Property
Distributive Property |
constant |
|
| Resources: |
- CC.6.EE.3 (transition standard):
- Algebraic Thinking Lesson pages 60,
61, 66, 67
- McDougal Littell Textbook Lesson 1.2
- CC.6.EE.4 (transitional standard):
- 6th Grade CCGPS Framework - Are We
Equal?
Student |
Teacher
- 7th Station pages 91 - 97 (Omit page
95)
- McDougal Littell Textbook Lesson 1.2
- McDougal Littell Textbook Lesson 2.7
(examples 3 and 4)
|
| Back to Concepts |
Back to Top |
|
Concept 2: Writing
Variable Expressions [CC.6.EE.2 & CC.6.EE.6] |
| Essential Questions: |
- 1. What strategies can I use to help me
understand and represent real situations using algebraic
expressions and equations?
- 2. How can we represent values using
variables?
|
| Key Vocabulary:
|
|
|
| Resources: |
- CC.6.EE.6 (transitional standard)
- 6th Grade CCGPS Framework: Set
It Up
Student
| Teacher
- 6th Grade CCGPS Framework:
Building With Toothpicks
Student |
Teacher
- McDougal Littell Textbook Lesson 1.3
- CC.7.EE.2
Back to Concepts |
Back to Top
|
|
Concept 3:
Equations & Word Problems
[CC.7.3(1,2,3) ; CC.7.EE.4a(1,2) |
| Essential Questions: |
- 1. How is an equation like a balance? How
can the idea of balance help me solve an equation?
- What is the difference in an expression
and an equation?
- How can we use variables to solve
equations?
|
| Key Vocabulary:
Note per DOE - Vocabulary is not to be
memorized by students |
|
equation |
| Resources: |
- CC.7.EE.3(1)(2)(3):
- 7th Grade CCGPS Frameworks:
Algebra Magic
Student |
Teacher
- 7th Grade CCGPS Frameworks: The Drop
Student |
Teacher
- McDougal Littell Text Lessons 3.3,
3.4,
- McDougal Littell Text Lesson 6.1, 6.2,
6.3
- 7 Algebraic Thinking page 371
- CC.7.EE.4a(1)(2)
- CCGPS Frameworks: Calendar
Equations
Student |
Teacher
- 7th Grade CCGPS Frameworks: The Drop
Student |
Teacher
- 7 Station Activity Book pages 98-104
- McDougal Littell Text Lessons 3.3;
3.4; 6.3
|
| Back to Concepts |
Back to Top |
|
Concept 4: Inequalities
& Word Problems (CC.6.EE.8a; CC.7.EE.4 and 4b(1) |
| Essential Questions: |
- 1. How can I tell the difference between
an expression, equation and an inequality?
- 2. How do I solve inequalities?
|
| Key Vocabulary: Note per DOE - Vocabulary is not to be
memorized by students |
|
inequalities |
| Resources: |
- CC.6.EE.8a
- McDougal Littell Text Lesson 3.6 (Omit
Solving)
- CC.7.EE.4
- CCGPS Frameworks Calendar Equations
Student |
Teacher
Student |
Teacher
- McDougal Littell Text Lesson 3.3, 3.4,
6.1
- CC.7.EE.4b(1)
- McDougal Littell Text Lessons 3.6 &
3.7
- 8th Grade Station Activity Book pages
103-111
|
| Back to Concepts |
Back to Top |
|
Concept 5: Graphing Inequalities
in 1 Variable (CC.6.EE.8b; CC.7.EE.4b(2) |
| Essential Questions: |
- 1. How do I graph inequalities?
|
| Key Vocabulary: Note per DOE - Vocabulary is not to be
memorized by students |
|
|
| Resources: |
- CC.6.EE.8b
- CCGPS Frameworks:
When Is It Not Equal?
Student |
Teacher
- McDougal Littell Text Lesson 3.6 (Omit
solving portions)
- CC.7.EE.4b(2)
- 8th Grade Station Activity Book pages
103-111
- McDougal Littell Text Lesson 3.6 & 3.7
|
| Back to Concepts |
Back to Top |
