Unit
Factors and Fractions - Chapter 4
Local Objective
At the end of this unit the students will be able to:
1. Write and evaluate expressions containing exponents.
2. Write the prime factorizations of composite numbers.
3. Factor monomials.
4. Find the greatest common factor of two or more numbers or monomials.
5. Use the Distributive Property to factor algebraic expressions.
6. Simplify fractions using the GCF.
7. Simplify algebraic fractions.
8. Multiply monomials.
9. Divide monomials.
10. Write expressions using negative exponents.
11. Evaluate numerical expressions containing negative exponents.
12. Express numbers in standard form and in scientific notation.
13. Compare and order numbers written in scientific notation.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Powers and Exponent worksheet to show the students can write and evaluate expressions containing exponents.
2. Using the Prime Factorization worksheet to show the students can rrite the prime factorizations of composite numbers and factor monomials.
3. Using the Greatest Common Factor worksheet to show the students can find the greatest common factor of two or more numbers or monomials and use the Distributive Property to factor algebraic expressions.
4. Using the Simplifying Algebraic Fractions worksheet to show students can simplify fractions using the GCF and simplify algebraic fractions.
5. Using the Multiplying and Dividing Monomials worksheet to show students can multiply and divide monomials.
6. Using the Negative Exponents worksheet to show students can write expressions using negative exponents and evaluate numerical expressions containing negative exponents.
7. Using the Scientific Notation worksheet to show students can express numbers in standard form and in scientific notation and compare and order numbers written in scientific notation.
Level of Expectation
80%
List of concepts and Evaluation Types
Concept | Evaluation Type |
Unit Exam | CR |
Independent Activities | 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 writing and evaluating expressions containing exponents.
2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on writing the prime factorizations of composite numbers.
3. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on factoring monomials.
4. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on find the greatest common factor of two or more numbers or monomials.
5. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using the Distributive Property to factor algebraic expressions.
6. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on simplifying fractions using the GCF.
7. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on simplifying algebraic fractions.
8. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on multiplying monomials.
9. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on dividing monomials.
10. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on writing expressions using negative exponents.
11. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on evaluating numerical expressions containing negative exponents.
12. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on expressing numbers in standard form and in scientific notation.
13. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on comparing and ordering numbers written in scientific notation.
During independent work time, students will complete the:
1. Powers and Exponent worksheet
2. Prime Factorization worksheet
3. Greatest Common Factor worksheet
4. Simplifying Algebraic Fractions worksheet
5. Multiplying and Dividing Monomials worksheet
6. Negative Exponents worksheet
7. Scientific Notation worksheet
Instructional Method
During whole group instruction, the teacher will:
1. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on writing and evaluating expressions containing exponents.
2. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on writing the prime factorizations of composite numbers.
3. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on factoring monomials.
4. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on find the greatest common factor of two or more numbers or monomials.
5. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on using the Distributive Property to factor algebraic expressions.
6. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on simplifying fractions using the GCF.
7. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on simplifying algebraic fractions.
8. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on multiplying monomials.
9. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on dividing monomials.
10. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on writing expressions using negative exponents.
11. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on evaluating numerical expressions containing negative exponents.
12. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on expressing numbers in standard form and in scientific notation.
13. Use prepared notes to discuss, model examples, and provide practice problems, and correct as neccessary, on comparing and ordering numbers written in scientific notation.
While students are working on independent problems, teacher will observe and assist those students having difficulties.
Content Standards
CA 4, MA 1, MA 5, MA 2
Process Standards
1.8, 1.5, 3.1, 1.10
Resources
Glencoe Pre-Algebra
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/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/1/1/C/07/a | Math | Number and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Compare and decompose numbers | Grade 7 | recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation
|
MA/1/1/D/07/a | Math | Number and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Classify and describe numeric relationships | Grade 7 | use whole number factors and multiples to describe relationships between and among numbers |
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
|
GLEs v2.0 and CLEs
GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
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 |
MA/N/1/C/7/a. | Mathematics | Numbers and Operations | Understand numbers, ways of representing numbers, relationships among numbers and number systems | Compose and decompose numbers | 7th Grade | recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation |