Unit

Functions and Graphing - Chapter 7

Local Objective

At the end of this unit the students will be able to:

1. Determine whether relations are functions. 

2. Use functions to describe relationships between two quantities. 

3.  Solve linear equations with two variables. 

4.  Graph linear equations using ordered pairs. 

5.  Find the rates of change. 

6.  Solve problems involving direct variation. 

7.  Identify proportional and nonproportional relationships by finding a constant rate of change. 

8.  Solve problems involving direct variation. 

Objective used to evaluate students


Yes

Assessment Activity

Students will be assessed:

1. Using the Functions worksheet  to show students can determine whether relations are functions and use functions to describe relationships between two quantities. 

2. Using the Representing Linear Functions worksheet  to show students can solve linear equations with two variables and graph linear equations using ordered pairs. 

3.  Using the Rate of Change workhseet  to show students can find the rates of change and solve problems involving rates of change. 

4.  Using the Constant Rate of Change and Direct Variation worksheet  to show students can identify proportional and nonproportional relationships by findng a constant rate of change and solve problems involving direct variation. 

Level of Expectation

80%

List of concepts and Evaluation Types


ConceptEvaluation Type
Independent ActivitiesCR
Unit ExamCR
Real Life ApplicationsPE

Learning Activity

During whole group instruction, students will:

1.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on determining whether relations are functions. 

2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using functions to describe relationships between two quantities. 

3.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving linear equations with two variables. 

4.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on graphing linear equations using ordered pairs. 

5.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the rates of change. 

6.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving problems involving direct variation. 

7.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying proportional and nonproportional relationships by finding a constant rate of change. 

8.  Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving problems involving direct variation. 

During independent work time, student will complete the:

1.  Functions worksheet 
2.  Representing Linear Functions worksheet 
3.  Rate of Change workhseet 
4.  Constant Rate of Change and Direct Variation worksheet 

Instructional Method

During whole group instruction, the teacher will:

1.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on determining whether relations are functions. 

2. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using functions to describe relationships between two quantities. 

3.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving linear equations with two variables. 

4.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on graphing linear equations using ordered pairs. 

5.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding the rates of change. 

6.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving problems involving direct variation. 

7.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on identifying proportional and nonproportional relationships by finding a constant rate of change. 

8.  Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving problems involving direct variation. 

While students are working on independent problems, teacher will observe and assist those student having difficulties. 

Content Standards

MA 4, MA 2

Process Standards

1.6, 3.6, 4.1

Resources

Glencoe Pre-Algebra

 

Correction Exercise

Assignment Corrections

Tutoring

Peer Coaching

Special Needs

Peer Coaching

Tutoring

Modified Assignments

GLEs v1.0


GLE CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/2/1/C/07/aMathAlgebraic RelationshipsUnderstand patterns, relations and functionsClassify objects and representationsGrade 7compare and contrast various forms of representations of patterns
MA/2/1/D/07/aMathAlgebraic RelationshipsUnderstand patterns, relations and functionsIdentify and compare functionsGrade 7identify functions as linear or nonlinear from tables, graphs or equations
MA/2/3/A/07/aMathAlgebraic RelationshipsUse mathematical models to represent and understand quantitative relationshipsUse mathematical modelsGrade 7model and solve problems, using multiple representations such as graphs, tables, expressions, equations or inequalities
MA/2/4/A/07/aMathAlgebraic RelationshipsAnalyze change in various contextsAnalyze changeGrade 7compare situations with constant or varying rates of change

GLEs v2.0 and CLEs


GLE CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/A/1/C/7/a.MathematicsAlgebraic RelationshipsUnderstand patterns, relations and functionsClassify objects and representations7th Gradecompare and contrast various forms of representations of patterns
MA/A/1/D/7/a.MathematicsAlgebraic RelationshipsUnderstand patterns, relations and functionsIdentify and compare functions7th Gradeidentify functions as linear or nonlinear from tables, graphs or equations
MA/A/3/A/7/a.MathematicsAlgebraic RelationshipsUse mathematical models to represent and understand quantitative relationshipsUse mathematical models7th Grademodel and solve problems, using multiple representations such as graphs, tables, expressions and linear equations
MA/A/4/A/7/a.MathematicsAlgebraic RelationshipsAnalyze change in various contextsAnalyze change7th Gradecompare situations with constant or varying rates of change