Expressions and Equations HOW can you use bar diagrams to solve equations with rational coefficients? Course 2, Inquiry Lab before Lesson 6-3

Mathematical Practices Expressions and Equations 7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. 7.EE.4a 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. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. Course 2, Inquiry Lab before Lesson 6-3 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

You can represent the situation above with an equation. Expressions and Equations Two-thirds of Chen’s homeroom class plan to participate in the school talent show. If 16 students from the class plan to participate, how many students are in the homeroom class? You can represent the situation above with an equation. Draw a bar diagram that represent the total number of students in the class an how many plan to participate. Activity Continued  Course 2, Inquiry Lab before Lesson 6-3

You can represent the situation above with an equation. Expressions and Equations Two-thirds of Chen’s homeroom class plan to participate in the school talent show. If 16 students from the class plan to participate, how many students are in the homeroom class? You can represent the situation above with an equation. Write an equation from the bar diagram. Let c represent the total number of students in the class. ___________________________ Activity Continued  Course 2, Inquiry Lab before Lesson 6-3

You can represent the situation above with an equation. Expressions and Equations Two-thirds of Chen’s homeroom class plan to participate in the school talent show. If 16 students from the class plan to participate, how many students are in the homeroom class? You can represent the situation above with an equation. Find the number of students represented by the sections of the bar. Write that number in each section of the bar in Step 1. Since each section represents 8 students, there are 8 x 3 or students in the class. Check or 16 ✓ Course 2, Inquiry Lab before Lesson 6-3

Expressions and Equations HOW can you use bar diagrams to solve equations with rational coefficients? Course 2, Inquiry Lab before Lesson 6-3