Unit
Rational Numbers - Chaper 5
Local Objective
At the end of this unit the students will be able to:
1. Write fractions as terminating or repeating decimals.
2. Compare fractions and decimals.
3. Write rational numbers as fractions.
4. Identify and classify rational numbers.
5. Multiply postive and negative fractions.
6. Use dimensional analysis to solve problems.
7. Divide positive and negative fractions using multiplicative inverses.
8. Add and subtract like fractions.
9. Find the LCM of two or more numbers.
10. Find the LCD of two or more fractions.
11. Add and subtract unlike fractions.
12. Solve equations containing rational numbers.
13. Use the mean, median, and mode as measures of central tendency.
14. Choose an appropriate measure of central tendency and recognize measures of statistics.
Objective used to evaluate students
Yes
Assessment Activity
Students will assessed:
1. Using the Writing Fractions as Decimals worksheet to show the students can write fractions as terminating or repeating decimals and compare fractions and decimals.
2. Using the Rational Numbers worksheet to show students can write rational numbers as fractions and identify and classify rational numbers.
3. Using the Multiplying Rational Numbers worksheet to show that students can multiply postive and negative fractions and use dimesional analysis to solve problems.
4. Using the Dividing Rational Numbers worksheet to show that students can divide positive and negative fractions using multiplicative inverses.
5. Using the Adding and Subtracting Like Fractions worksheet to show students can add and subtract like fractions.
6. Using the Least Common Multiple worksheet to show students can find the LCM of two or more numbers and find the LCD of two or more fractions.
7. Using the Adding and Subtracting Unlike Fractions worksheet to show students can add and subtract unlike fractions.
8. Using the Solving Equations with Rational Numbers worksheet to show students can solve equations containing rational numbers.
9. Using the Measures of Central Tendency worskheet to show the students can use the mean, median, and mode as measures of central tendency and choose an appropriate measure of central tendency and recognize measures of statistics.
Level of Expectation
80%
List of concepts and Evaluation Types
| Concept | Evaluation Type |
| Real Life Applications | PE |
| Independent Activities | CR |
| Unit Exam | CR |
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 writing fractions as terminating or repeating decimals.
2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on comparing fractions and decimals.
3. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on writing rational numbers as fractions.
4. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying and classifying rational numbers.
5. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on multiplying positive and negative fractions.
6. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using dimensional analysis to solve problems.
7. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on dividing positive and negative fractions using multiplicative inverses.
8. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on adding and subtracting like fractions.
9. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the LCM of two or more numbers.
10. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the LCD of two or more fractions.
11. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on adding and subtracting unlike fractions.
12. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving equations containing rational numbers.
13. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using the mean, median, and mode as measures of central tendency.
14. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on choosing an appropriate measure of central tendency and recognize measures of statistics.
During independent work time, students will:
1. Writing Fractions as Decimals worksheet
2. Rational Numbers worksheet
3. Multiplying Rational Numbers worksheet
4. Dividing Rational Numbers worksheet
5. Adding and Subtracting Like Fractions worksheet
6. Least Common Multiple worksheet
7. Adding and Subtracting Unlike Fractions
8. Solving Equations with Rational Numbers worksheet
9. Measures of Central Tendency worskheet
Instructional Method
During whole group instruction the teacher will:
1. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on writing fractions as terminating or repeating decimals.
2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on comparing fractions and decimals.
3. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on writing rational numbers as fractions.
4. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on identifying and classifying rational numbers.
5. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on multiplying positive and negative fractions.
6. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using dimensional analysis to solve problems.
7. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on dividing positive and negative fractions using multiplicative inverses.
8. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on adding and subtracting like fractions.
9. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the LCM of two or more numbers.
10. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on finding the LCD of two or more fractions.
11. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on adding and subtracting unlike fractions.
12. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving equations containing rational numbers.
13. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using the mean, median, and mode as measures of central tendency.
14. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on choosing an appropriate measure of central tendency and recognize measures of statistics.
While students are working on idependent problems, teacher will observe and assist those students having difficulties.
Content Standards
MA 1, CA 4, MA 5, MA 4, MA 2, MA 3
Process Standards
1.8, 3.3, 1.5, 3.4, 4.1, 1.6, 1.10, 3.6, 3.1
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 |
| CA/1/1/E/07/a | Communication Arts | Reading | Develop and apply skills and strategies to the reading process | Vocabulary | Grade 7 | Develop vocabulary through text, using
- roots and affixes
- context clues
- glossary, dictionary and thesaurus
|
| CA/2/3/B/07/a | Communication Arts | Writing | Write effectively in various forms and types of writing | Note-Taking | Grade 7 |
Use a variety of note-taking methods to organize information
|
| 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/1/1/B/07/a | Math | Number and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Represent and use rational numbers | Grade 7 | use fractions, decimals and percents to solve problems |
| MA/1/2/B/07/a | Math | Number and Operations | Understand meanings of operations and how they relate to one another | Describe effects of operations | Grade 7 | describe the effects of multiplication and division on fractions and addition and subtraction on integers |
| MA/5/2/A/07/a | Math | Data and Probability | Select and use appropriate statistical methods to analyze data | Describe and analyze data | Grade 7 | find, use and interpret measures of center and spread, including ranges and interquartile range |
| MA/1/2/C/07/a | Math | Number and Operations | Understand meanings of operations and how they relate to one another | Apply properties of operations | Grade 7 | apply properties of operations (including order of operations) to positive rational numbers |
| MA/1/3/C/07/a | Math | Number and Operations | Compute fluently and make reasonable estimates | Compute problems | Grade 7 | multiply and divide positive rational numbers |
| MA/1/3/D/07/a | Math | Number and Operations | Compute fluently and make reasonable estimates | Estimate and justify solutions | Grade 7 | estimate and justify the results of multiplication and division of positive rational numbers |
| MA/2/1/B/07/a | Math | Algebraic Relationships | Understand patterns, relations and functions | Create and analyze patterns | Grade 7 | analyze patterns represented graphically or numerically using words or symbolic rules, including recursive notation |
| 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/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
|
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/N/1/A/7/a. | Mathematics | Numbers and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Read, write and compare numbers | 7th Grade | compare and order all positive rational numbers and find their approximate location on a number line |
| 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/N/2/B/7/a. | Mathematics | Numbers and Operations | Understand meanings of operations and hwo they relate to one another | Describe effects of operations | 7th Grade | describe the effects of all operations on rational numbers including integers |
| MA/D/2/A/7/a. | Mathematics | Data and Probability | Select and use appropriate statistical methods to analyze data | Describe and analyze data | 7th Grade | find, use and interpret measures of center and spread, including ranges |
| MA/N/2/C/7/a. | Mathematics | Numbers and Operations | Understand meanings of operations and hwo they relate to one another | Apply properties of operations | 7th Grade | apply properties of operations (including order of operations) to positive rational numbers and integers |
| MA/N/3/C/7/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Compute problems | 7th Grade | apply all operations on rational numbers including integers |
| MA/N/3/D/7/a. | Mathematics | Numbers and Operations | Compute fluently and make reasonable estimates | Estimate and justify solutions | 7th Grade | estimate and justify the results of all operations on rational numbers |
| MA/A/1/B/7/a. | Mathematics | Algebraic Relationships | Understand patterns, relations and functions | Create and analyze patterns | 7th Grade | analyze patterns represented graphically or numerically with words or symbolic rules, including recursive notation |
| 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/G/4/B/7/a. | Mathematics | Geometric and Spatial Relationships | Use visualizatio, spatial reasoning and geometric modeling to solve problems | Draw and use visual models | 7th Grade | draw or use visual models to represent and solve problems |