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
Concept | Evaluation Type |
Independent Activities | CR |
Unit Exam | CR |
Real Life Applications | PE |
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
Correction Exercise
Assignment Corrections
Tutoring
Peer Coaching
Special Needs
Peer Coaching
Tutoring
Modified Assignments
GLEs v1.0
GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
MA/2/1/C/07/a | Math | Algebraic Relationships | Understand patterns, relations and functions | Classify objects and representations | Grade 7 | compare and contrast various forms of representations of patterns |
MA/2/1/D/07/a | Math | Algebraic Relationships | Understand patterns, relations and functions | Identify and compare functions | Grade 7 | identify functions as linear or nonlinear from tables, graphs or equations |
MA/2/3/A/07/a | Math | Algebraic Relationships | Use mathematical models to represent and understand quantitative relationships | Use mathematical models | Grade 7 | model and solve problems, using multiple representations such as graphs, tables, expressions, equations or inequalities |
MA/2/4/A/07/a | Math | Algebraic Relationships | Analyze change in various contexts | Analyze change | Grade 7 | compare situations with constant or varying rates of change |
GLEs v2.0 and CLEs
GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
MA/A/1/C/7/a. | Mathematics | Algebraic Relationships | Understand patterns, relations and functions | Classify objects and representations | 7th Grade | compare and contrast various forms of representations of patterns |
MA/A/1/D/7/a. | Mathematics | Algebraic Relationships | Understand patterns, relations and functions | Identify and compare functions | 7th Grade | identify functions as linear or nonlinear from tables, graphs or equations |
MA/A/3/A/7/a. | Mathematics | Algebraic Relationships | Use mathematical models to represent and understand quantitative relationships | Use mathematical models | 7th Grade | model and solve problems, using multiple representations such as graphs, tables, expressions and linear equations |
MA/A/4/A/7/a. | Mathematics | Algebraic Relationships | Analyze change in various contexts | Analyze change | 7th Grade | compare situations with constant or varying rates of change |