##
* *Reflection: Pacing
Quiz + Graphing Proportional Relationships - Section 2: Guided Practice

I’ve written reflections in the previous unit about simplifying quiz days and trying to do too much last year. An extension activity for students who finish the quiz early is a good idea, but a task as complex as graphing on a coordinate plane should only be given if student have already had an opportunity to review the skill in class.

On this note, I also want to add that I reworked my scope and reorganized the lessons I delivered for proportional relationships. I brought up graphing much too early last year and did not take an appropriate amount of time on ratio tables and bar models. This year I spent more time with on division of fractions and ratio tables to give students more time to practice with that strategy. Each time I solved or reviewed a problem, I went back to the ratio table. Once students were familiar with the meaning of the unit rate and could find it using ratio tables, we moved on to graphing where students would need to identify the unit rate as the coordinate (1, r).

Another big idea I made sure to continue to ask about was the calculation of two different unit rates within a relationship, and how each can be useful depending on the question. For example, if you purchase 2 pounds of apples for $6.40 and the question asks “how many pounds can you purchase with $10?”, the unit rate most useful is the one per dollar.

However, if the question asks, “how much will you spend on 1.5 pounds of apples, the unit rate per pound will be more useful.

All of these concepts and strategies must be tackled before discussing graphing and identifying proportional relationships in graphs.

*A Note on Pacing*

*Pacing: A Note on Pacing*

# Quiz + Graphing Proportional Relationships

Lesson 5 of 21

## Objective: Quiz + SWBAT graph points to show proportional relationships.

#### Quiz

*30 min*

Students enter silently. Quizzes are on their desks and they are to begin as soon as possible. They are allowed to spread out and sit at empty tables and are given the option to use cardboard dividers and noise canceling head phones. Instructions on the board notify students that they will only have 30 minutes to complete this quiz (a timer will be displayed). At the end of the quiz, all students will be asked to turn in their quizzes, and the Class Work will be distributed.

** The quiz will assess students’ knowledge of the vocabulary and its application to problem solving.** The first vocabulary section is basic identification of words within ratio examples. This is the first level I want to assess and use for remediation. Knowing whether students can identify a ratio will give me a baseline for a remediation plan for that student. The following parts in the

**. Several questions will also require students to read carefully as the order of the numbers in the ratio could be affected.**

*quiz assess students’ ability to write ratios and use tables to determine proportionality*The data gathered from this quiz will also instruct my lesson planning for the following week. I will need to consider how many students are still not able to use the vocabulary correctly and which students are still** struggling with the application of tables to calculate equivalent ratios. **It is always interesting to note which students use the strategies taught in class and which students do not apply those strategies. These are concrete pieces of feedback students can be given after each assessment.

I also try to make time over the weekend while grading these quizzes to create an Excel spreadsheet listing student scores and comments. Some of the comments such as “showing work through the strategies and models taught in class” may be easily repeated on Excel and it makes mail merging and printing the documents for students easy.

*expand content*

#### Guided Practice

*10 min*

If students finish they quiz early they must start the class work. It instructs students to graph linear points on a coordinate plane. Before I teach graphing and identifying the constant of proportionality, I must ensure that students understand how to graph and read points on a graph. Once all students have completed the Quiz, I review the answers to this first sheet with students.

*expand content*

#### Partnered Practice

*15 min*

Students then receive a second class worksheet which they must complete with partner pairs. A timer with 15 minutes is displayed on the board along with the following guidelines:

*For problems #1 and #2, you must create an x/y chart to check at least 3 point on the graph you believe is the answer.**For problems #3 and #4:**Your lines must have arrows at either end**You will need two points to graph**If you finish before time is up, place your sheet in the blue basket and come seen me for achievement points.*

As students complete this sheet I will be checking their answers and awarding extra points for accurate work. I will be sending students back without points if the quality of the work is poor.

*expand content*

#### Closing

*5 min*

In the last five minutes of class I am checking any remaining class work for extra points and asking a students to distribute the homework as students pack up to leave. Students who do not complete the work will be staying with me at lunch to complete the work.

*expand content*

Good Morning,

FYI: Your table of values for Number 2 on the guided practice does not match the given equation. I think you mixed up the x and y values. :)

| 2 years ago | Reply##### Similar Lessons

###### Writing The Constant of Proportionality Equation

*Favorites(13)*

*Resources(14)*

Environment: Urban

Environment: Rural

###### End of Grade Review: Tables, Graphs, and Equations of Proportional Relationships

*Favorites(22)*

*Resources(15)*

Environment: Suburban

- UNIT 1: Integers
- UNIT 2: Operations with Rational Numbers
- UNIT 3: Expressions and Equations - The Basics
- UNIT 4: Multi-step Equations, Inequalities, and Factoring
- UNIT 5: Ratios and Proportional Relationships
- UNIT 6: Percent Applications
- UNIT 7: Statistics and Probability
- UNIT 8: Test Prep
- UNIT 9: Geometry

- LESSON 1: Mastering Rational Numbers
- LESSON 2: Introducing Ratios and Rates in Word Problems
- LESSON 3: Best Buy
- LESSON 4: Ratio Tables
- LESSON 5: Quiz + Graphing Proportional Relationships
- LESSON 6: Bar Models and Ratios
- LESSON 7: Unit Rates and Ratio Tables
- LESSON 8: The Constant of Proportionality
- LESSON 9: Quiz + The Constant of Proportionality in Equations and Tables
- LESSON 10: Put it Together - Equations y = kx
- LESSON 11: Equations and Bar Models + The Constant of Proportionality
- LESSON 12: Identifying the Constant of Proportionality
- LESSON 13: Determine and Interpret Proportionality through Table and Graphs - Day 95
- LESSON 14: Quiz + Similar Figures
- LESSON 15: Scale Drawings
- LESSON 16: Map Scales
- LESSON 17: Let's Dream About a Different Place...
- LESSON 18: Practice Test
- LESSON 19: Unit 5 Test
- LESSON 20: Unit 5 Test Debrief
- LESSON 21: MAP it Out: Part 2