Unit
Ratio, Proportion, and Percent - Chapter 6
Local Objective
At the end of this unit students will be able to:
1. Write ratios as fractions in simplest form.
2. Determine unit rates.
3. Identify proportional and nonproportional relationships.
4. Describe a proportional relationship using an equation.
5. Solve proportions.
6. Use proportions to solve real-world problems.
7. Use and construct scale drawings.
8. Express percents as fractions and vice versa.
9. Express percents as decimals and vice versa.
10. Identify various sampling techniques.
11. Determine the validity of a sample and predict the actions of a larger group.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Ratios and Rates worksheet to show students can write ratios as fractions in simplest form and determine unit rates.
2. Using the Proportional and Nonproportional relationships worksheet
to show students can identify proportional and nonproportional
relationships and describe a proportional relationship using an
equation.
3. Using the Using Proportions worksheet to show students can solve proportions and use proportions to solve real-world problems.
4. Using the Scale Drawings and Models worksheet to show students can use and construct scale drawings.
5. Using the Fractions, Decimals, and Percents worsheet
to show students can express percents as fractions and vice versa
and express percents as decimals and vice versa.
6. Using the Using Sampling to Predict worksheet to
show students can identify various sampling techniques
and determine the validity of a sample and predict the actions of
a larger group.
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 the whole group instruction, students will:
1. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on writing ratios as fractions in simplest form.
2. Take notes from the Smart board, follow along as
teacher works example problems, and then work guided practice practice
problems on determining unit rates.
3. Take notes from the Smart board, follow along as
teacher works example problems, and then work guided practice practice
problems on identifying proportional and nonproportional
relationships.
4. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on describing a proportional relationship using an equation.
5. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on solving proportions.
6. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on using proportions to solve real-world problems.
7. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on using and constructing scale drawings.
8. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on expressing percents as fractions and vice versa.
9. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on expressing percents as decimals and vice versa.
10. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on identifying various sampling techniques.
11. Take notes from the Smart board, follow along as teacher
works example problems, and then work guided practice practice problems
on determining the validity of a sample and predict the actions of a
larger group.
During independent work time, students will complete the:
1. Ratios and Rates worksheet
2. Proportional and Nonproportional relationships worksheet
3. Using Proportions worksheet
4. Scale Drawings and Models worksheet
5. Fractions, Decimals, and Percents worsheet
6. Using Sampling to Predict worksheet
Instructional Method
During the whole group instruction, the teacher will:
1. Use prepared notes to discuss, model examples, and provide
guided practice problems, and correct as neccessary, on writing ratios
as fractions in simplest form.
2. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
determining unit rates.
3. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
identifying proportional and nonproportional relationships.
4. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
describing a proportional relationship using an equation.
5. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on solving
proportions.
6. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on using
proportions to solve real-world problems.
7. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on using
and constructing scale drawings.
8. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
expressing percents as fractions and vice versa.
9. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
expressing percents as decimals and vice versa.
10. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
identifying various sampling techniques.
11. Use prepared notes to discuss, model examples, and
provide guided practice problems, and correct as neccessary, on
determining the validity of a sample and predict the actions of a
larger group.
While students are working on independent problems, teacher will observe and assist those students having difficulties.
Content Standards
MA 1, CA 4, MA 6, MA 4, MA 5, MA 2, MA 3
Process Standards
3.3, 1.6, 3.1, 3.6, 1.5
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/1/1/A/07/a | Math | Number and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Read, write and compare numbers | Grade 7 | compare and order integers, positive rationals and percents, including finding their approximate location on a number line |
| MA/1/3/E/07/a | Math | Number and Operations | Compute fluently and make reasonable estimates | Use proportional reasoning | Grade 7 | solve problems involving proportions, such as scaling and finding equivalent ratios |
| MA/2/2/A/07/a | Math | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Represent mathematical situations | Grade 7 | use variables to represent unknown quantities in equations and inequalities |
| MA/3/3/B/07/a | Math | Geometric and spatial relationships | Apply transformations and use symmetry to analyze mathematical situations | Use transformations on functions | Grade 7 | describe
the relationship between the scale factor and the perimeter of the
image using a dilation (contractions- magnifications)
(stretching/shrin-king) |
| MA/3/4/B/07/a | Math | Geometric and spatial relationships | Use visualization, spatial reasoning and geometric modeling to solve problems | Draw and use visual models | Grade 7 | draw or use visual models to represent and solve problem
|
| MA/5/4/A/07/a | Math | Data and Probability | Understand and apply basic concepts of probability | Apply basic concepts of probability | Grade 7 | use models to compute the probability of an event |
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/N/3/E/7/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Use proportional reasoning | 7th Grade | solve problems involving proportions, such as scalng and finding equivalent ratios |
| MA/N/1/B/7/a. | Mathematics | Numbers and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Represent and use rational numbers | 7th Grade | recognize and generate equivalent forms of fractions, decimals and percents |
| MA/D/3/A/7/a. | Mathematics | Data and Probability | Develop and evaluate inferences and predictions that are based on data | Develop and evaluate inferences | 7th Grade | use observations about differences between samples to make conjectures about the populations from which the samples were taken |