# Review + Quiz: Solving Equations

Lesson 6 of 14

## Objective: SWBAT use their strategies to solve equations

*85 minutes*

#### DO NOW

*15 min*

Students will be solving a percent problem. I chose this problem to continually keep their prior learning in mind. To solve this problem, students can use a double number line, tape diagram, or ratio table(**SMP 5) **This problem requires them to find the percent of a number and then add the result to find the solution.

Students may have difficulty remembering what tool to use, so remind them of their options. Students may have difficulty understanding that their solution is the result of adding on what they have found. If this happens, ask the students if there answer makes sense. (**SMP6**: making sense of our solutions)

Tools: Do NOW problem

#### Resources

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#### Numbered Heads Together

*25 min*

The students will be using a NHT Review for Expressions and Equations to practice for their quiz. The problems used will help prepare them for problems they will see on the quiz. I’ve allotted 25 minutes, but if your students take a bit longer on quizzes, you may want to cut this time shorter.

Question 1: Students will be reviewing how to substitute for a variable. This is important to know because they use it to check their solutions. Students will need to use orders of operations.

Question 2: Students will be writing an expression which is helpful when writing equations. Remind students to use their notes if they are stuck on the word “product”.

Question 3: Students should write the equation and solve. Make this clear to them. Many students can solve this mentally, but our goal is for students to understand how to write the equation and then to show work to support their solution. When students write the equation, watch to see if they represent the equation correctly because they use the words “more than”.

Question 4: Students should be writing the equation and then solving it. Students should be able to support their solution by showing their work.

Question 5: This question is multiple choice. The problem will be that students will not read the problem correctly. The problem has them looking for the “non-solution”.

Question 6 and 7: This is a straight forward solving an equation problem. Students will need to understand the operation being used and then use the inverse operation to solve. All work, including the check should be shown to support their answer.

Question 8: Allow students to find their solution on their own, however, students will need to support their answer. This will require students to use writing or equations to prove their solution is correct.

Numbered Heads together supports:

**SMP 1: students will need to make sense of the problem**

**SMP2: Students will need to understand what the numbers mean.**

**SMP 3: Students will need to prove their solutions are correct. **

**SMP4: Students will model the math by writing expressions and equations.**

**SMP6: Students will need to make sense of their solutions. **

**Tools: NHT power point, white board and markers**

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#### Closure = Quiz

*45 min*

Students will be finishing this lesson with a quiz on expressions and equations.

The quiz has a similar design as their review. The students typically struggle with equations that look like this: 8 + x = 12. If you notice that students are struggling with this type of equation, ask them if they are able to switch the variable and the number around? What property allows them to do this?

The quiz has a variety of word problems and mathematical problems to solve. Students will also be reviewing writing and solving expressions which goes hand in hand with equations.

Tools: Expressions and Equations Quiz

#### Resources

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- LESSON 1: What's My Solution?
- LESSON 2: To Add me is to Subtract Me
- LESSON 3: To Subtract Me is to Add Me
- LESSON 4: To Multiply Me is to Divide Me
- LESSON 5: To Divide Me is to Multiply Me
- LESSON 6: Review + Quiz: Solving Equations
- LESSON 7: Deciphering Word Problems to Write Equations
- LESSON 8: Tables and Equations.....They're related!
- LESSON 9: Writing Equations from Tables - Stations
- LESSON 10: Writing Inequalites...The solutions are endless!
- LESSON 11: Graphing Inequalites on a Number Line
- LESSON 12: Working out the Solutions
- LESSON 13: Review Day for Equations and Inequalities
- LESSON 14: Final Assessment Day