Portions of Friday’s lesson plans carried over from last week due to students’ need for more practice with solving one-step equations before advancing to two-step equations. There are many links on this website (type “solving equation” in the search box on any page of this website to find them) and in the “basic equations and inequalities” folder of our Schoology course. Use these links to practice and improve your skills. Solving equations is an essential skill that we will build on all year in eighth grade math.

An equation is like a math sentence that tells us that 2 expressions are equal. A variable is a letter used to represent an unknown value. In the equation *x*+2=3, *x* is the variable. A constant is a known value. In the equation x+2=3, two is a constant. A coefficient is a number multiplied by a variable. In the equation 3x=18, 3 is the coefficient. To solve an equation or inequality, you must isolate the variable (get it all by itself) and figure out its value. You “undo” operations by applying opposite (inverse) operations. The = sign tells us that both sides of an equation are equal. Therefore, both sides must remain balanced. If I add 6 to one side, I must add 6 to the other side. If I divide one side by 2, I must divide the other side by 2 as well.

### Monday, October 23

Common Core Standards and Extended Standards

EE.68.6a Solve a 1-step linear equation (e.g., y + 3 = 5).

EE.68.6b Identify the operation needed to solve a given 1-step linear equation (the inverse operation).

EE.68.6c Solve for an unknown number within a number sentence (e.g., 5 + x = 8).

EE.68.3a Solve an algebraic expression or inequality involving variables.

Student Objectives

I can solve one- and two-step equations algebraically.

Bellwork

Students will complete *Math Minute 29*.

Lesson (Solving 2-Step Equations)

1. One-step equations review in Schoology

2. One-step equations “early bird”-drill & practice solving one-step equations

3. Journal entry: solving 2-step equations, opening a present analogy, color code first step and second step with different colors of highlighter

4. Guided practice with dry erase boards and markers: two-step equations

5. Cooperative practice: finish one-step equations task cards & move on to two-step equations task cards

6. Independent practice: finish two-step equations worksheet, homework if not completed in class

7. Online independent practice: two-step equations links in “basic equations & inequalities” folder in Schoology, XtraMath, math vocabulary practice on Flashcard Machine, IXL module 7 to-do list

Closing

Exit ticket:

Homework

Finish two-step equations worksheet if not finished in class. On Friday, there will be a quiz over solving basic equations. Math journals will be graded on Thursday. There will be an organization quiz on Thursday. Make sure that you have all of your math papers in your math binder.

### Tuesday, October 24

Common Core Standards and Extended Standards

EE.68.6a Solve a 1-step linear equation (e.g., y + 3 = 5).

EE.68.6b Identify the operation needed to solve a given 1-step linear equation (the inverse operation).

EE.68.6c Solve for an unknown number within a number sentence (e.g., 5 + x = 8).

EE.68.3a Solve an algebraic expression or inequality involving variables.

Student Objectives

I can solve one- and two-step equations algebraically.

Bellwork

Students will complete *Math Minute 30.*

Lesson (Two-Step Equations continued)

1. Go over homework.

2. Flashcard Machine math vocabulary challenge

3. Guided practice and review with dry erase boards and markers: 1 and 2-step equations

4. Finish two-step equations task cards independently or with a partner.

5. Independent practice: FACEing math one-step or two-step equations activity (postponed until Wednesday)

Closing

math survey

Homework

Finish the FACEing math paper (postponed). Journals and binders will be graded on Thursday. On Friday, there will be a quiz over solving basic equations. Work on IXL module 7 to-do list.

### Wednesday, October 25

Common Core Standards and Extended Standards

8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form × = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

EE.68.6a Solve a 1-step linear equation (e.g., y + 3 = 5).

EE.68.6b Identify the operation needed to solve a given 1-step linear equation (the inverse operation).

EE.68.6c Solve for an unknown number within a number sentence (e.g., 5 + x = 8).

Student Objectives

I can solve one- and two-step equations algebraically.

Bellwork

Students will complete *Math Minute 31.*

Lesson (More Solving Equations Practice)

1. Learning styles inventory

2. Demonstration: how to use algebra tiles to solve a 2-step equation

3. Finish two-step equations task cards.

4. Guided practice and review

5. Team practice and competition:

Closing

Exit ticket: two-step equations

Homework

Finish solving basic equations worksheet if not finished in class. On Friday, there will be a quiz over solving equations. Tomorrow, journals will be graded. There will also be an organization quiz.

### Thursday, October 26

Common Core Standards and Extended Standards

8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form × = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

EE.68.6a Solve a 1-step linear equation (e.g., y + 3 = 5).

EE.68.6b Identify the operation needed to solve a given 1-step linear equation (the inverse operation).

EE.68.6c Solve for an unknown number within a number sentence (e.g., 5 + x = 8).

Student Objectives

I can solve one- and two-step equations algebraically.

I can apply the distributive property.

Bellwork

Students will complete *Math Minute 32*.

Lesson (Distributive Property)

1. Go over homework.

2. Quick review: solving equations partner play from www.MATHandCHEESE.com

3. Journal check & organization quiz

4. Guided practice and review with “solving equations practice” worksheet

Closing

Exit ticket:

Homework

Tomorrow, we will have a quiz over solving equations. Work on the IXL module 7 to-do list. Finish the basic equations worksheet.

### Friday, October 27

Common Core Standards and Extended Standards

8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form × = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

EE.68.6a Solve a 1-step linear equation (e.g., y + 3 = 5).

EE.68.6b Identify the operation needed to solve a given 1-step linear equation (the inverse operation).

EE.68.6c Solve for an unknown number within a number sentence (e.g., 5 + x = 8).

Bellwork

Students will complete *Math Minute 33*.

Lesson (Basic Equations Quiz)

1. Go over homework.

2. Review with examples: distributive property, one-step, and two-step equations

3. Quiz over distributive property, one-step, and two-step equations

4. Independent work: IXL module 7 to-do list

Closing

1st quarter reflection/round robin discussion: Name and explain 1 thing you learned this quarter.

Homework

Work on the IXL module 7 to-do list.