CRITICAL AREA 3.7
MATHEMATICS
DOMAIN: Expressions and Equations
CLUSTERS:

MAJOR CONTENT CLUSTER: 7.EE.A. Use properties of operations to generate equivalent expressions.

MAJOR CONTENT CLUSTER: 7.EE.B. Solve reallife and mathematical problems using numerical and algebraic expressions and equations.
MAJOR CONTENT STANDARDS

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

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. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
GRADE 7 MATH; EXPRESSIONS AND EQUATIONS
LESSON PLAN IDEAS...

Generates basic quizzes in arithmetic.
Algebra Basics: Solving Basic Equations Part 1  Math Antics
COMPREHENSIVE WEBSITES
ACTIVITIES
Symbaloo Gallery; a Webmix of Secondary Common Core Math
Variety of lessons and interactive games, Illuminations works to serve you by increasing access to quality standardsbased resources for teaching and learning mathematics, including interactive tools for students and instructional support for teachers.
In this interactive game, students will have to identify the correct mathematical expression that models a given word expression.
Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!
PreAlgebra 1  The Dawn of Numbers
A humorous look at early attempts at creating number systems, leading up to our modern base10 decimal number system which uses "positional notation". The story takes place on the fictitious island of Cocoloco.
[7.NS.1d1.0] Apply Properties to Add and Subtract  Common Core Standard by Front Row
Download resources for this lesson at http://learnzillion.com/lessons/1125

Applying properties of operations to linear expressions with rational coefficients 2 of 4 (7.EE.1)

Applying properties of operations to linear expressions with rational coefficients3 of 4 (7.EE.1)

Applying properties of operations to linear expressions with rational coefficients4 of 4 (7.EE.1)
STANDARD 7.EE.A.1.
7.EE.A.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
FRONT ROW:
[7.EE.11.0] Simplify Linear Expressions  Common Core Standard
KHAN ACADEMY:
Introduction to Order of Operations
SKUBES ED: Translating Words to Math: 7.EE.1
LEARNING UPGRADE:
Exponent Rules Math Learning Upgrade through Music
Equivalent forms of expressions  Introduction to algebra  Algebra I  Khan Academy
Download resources for this lesson at http://learnzillion.com/lessons/813
STANDARD 7.EE.A.2.
7.EE.A.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 + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.”
PreAlgebra concepts are presented in this unit, including order of operations, and writing algebraic expressions and equations.
MRSGUTTORMSON:
7.EE.2  Goal 2  C.U.B.E. Method for Word Problems
FRONT ROW:
[7.EE.21.2] Rewriting Expressions in Different Forms  Common Core Standard
SKUBES ED:
Rewriting Expressions
FRONT ROW:
[7.EE.21.0] Rewriting Expressions in Different Forms  Common Core Standard
Multistep word problem with addition, subtraction, and multiplication  PreAlgebra  Khan Academy
Download resources for this lesson at http://learnzillion.com/lessons/1234
Equivalent Fractions
Simplifying Fractions
Comparing Fractions
Ordering Fractions
Converting Fractions to Mixed Numbers
Converting Mixed Numbers to Fractions
Estimating Decimal Sums
Estimating Decimal Differences
Estimating Decimal Products
Estimating Decimal Quotients
Rounding Decimal Quotients
Operations with Integers
Writing Fractions as Percents
Writing Decimals as Percents
Writing Percents as Decimals
Writing Percents as Fractions
Challenge Exercises for Understanding Percent
Percent Goodies Game
Worksheets on Fractions
Worksheets on Decimals
Worksheets on Percent
STANDARD 7.EE.B.3.
7.EE.B.3. Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
ROBERT WIRTZ: CCSS 7.EE.3  video 2  Solve MultiStep Inequalities
ROBERT WIRTZ:
CCSS 7.EE.3  video 1  Solving OneStep Equations (+,,x,/)
VIDEO MATH TUTOR:
How to Solve MultiStep Equations
FRONT ROW:
[7.EE.31.0] Solve MultiStep Problems  Common Core Standard
MRSGUTTORMSON:
7.EE.3  Goal 1  Sec. 4.4  Division Property of Equality
MATHBALLET:
Identify like terms...
FRONT ROW:
[7.EE.32.1] Solve MultiStep Problems  Common Core Standard
FRONT ROW:
[7.EE.32.0] Solve MultiStep Problems  Common Core Standard
Solving Inequalities  Word Problems

LEARNZILLION: Understand real world scenarios by rewriting expressions in equivalent forms Lesson...more lessons
Web Resources:
http://www.rda.aps.edu/mathtaskbank/fi_html/pfactask.htm
The Triangle Train problem can be found on this website. The site includes the teacher instructions for possible student answers and misconceptions.
http://learner.org/workshops/algebra/workshop1/index2.html
This website provides explanations for using manipulatives to solve equations as well as a realworld problem involving twostep equations with and without the distributive property.
http://www.mathplay.com/TwoStepEquationsGame.html
This is a basketball game where students determine the solutions of twostep equations.
STANDARD 7.EE.B.4.
7.EE.B.4. Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.
Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the
operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?

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. Graph
the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
MATHWITHMRALMEIDA:
7.EE.4  Solve TwoStep Equations
COLLEENHUMPHRIS:
7.EE.4b notes vid
MEAGAN BUBULKA:
7.EE.4A Solve Equations