**8th Grade, CC3, Unit 1**

**Problem Solving**

ObjectivesBy the end of the chapter, you will be able to...- Identify patterns
- Identify and understand the elements of the xy-coordinate system
- Solve proportional relationships
Guiding Questions1. How can I solve a problem that I have never seen before? 2. How can I organize my work? 3. How can I describe my process? 4. What is the relationship? Chapter OutlineSection 1.1 This section includes several problems and activities that use many of the big ideas of algebra. Each problem or activity requires your team to work together to use various problem solving strategies. Section 1.2 In this section, you will use what you know about proportional relationships to solve proportional problems. |
Classroom HandoutsAll Methods & Meanings are available in the textbook and your toolkit. For classroom notes and other handouts, talk to your teacher. Extra Practice ResourcesFraction, decimals, percents: IXL Topics D1-D4, J1, J2 (fractions, decimals, percents) Writing an equation for a word problem: IXL topics V3, W2, Proportional Relationships: H7-H12, I1-I9 VocabularyCheck out the ebook for a glossary5-D process coordinates / ordered pair independent / dependent variable quadrant origin x-axis / y-axis input / output variable proportion / proportional relationship unit rate stem-and-leaf plot / histogram / box plot area / perimeter integer mean / median |

**Standards**

8. EE. 5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.

8. SP. 2 Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

*Preparation for:*

8. EE. 7a 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 x = a, a = a, or a = b results.

8. EE. 7b Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.