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


ConceptEvaluation Type
Unit ExamCR
Independent ActivitiesCR
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 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 CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/3/4/B/07/aMathGeometric and spatial relationshipsUse visualization, spatial reasoning and geometric modeling to solve problemsDraw and use visual modelsGrade 7draw or use visual models to represent and solve problem
MA/1/1/C/07/aMathNumber and OperationsUnderstand numbers, ways of representing numbers, relationships among numbers and number systemsCompare and decompose numbersGrade 7recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation
MA/1/1/D/07/aMathNumber and OperationsUnderstand numbers, ways of representing numbers, relationships among numbers and number systemsClassify and describe numeric relationshipsGrade 7use whole number factors and multiples to describe relationships between and among numbers
CA/1/1/E/07/aCommunication ArtsReadingDevelop and apply skills and strategies to the reading processVocabularyGrade 7Develop vocabulary through text, using - roots and affixes - context clues - glossary, dictionary and thesaurus
CA/2/3/B/07/aCommunication ArtsWritingWrite effectively in various forms and types of writingNote-TakingGrade 7 Use a variety of note-taking methods to organize information

GLEs v2.0 and CLEs


GLE CodeDisciplineStrandBig IdeaConceptGrade Level/CourseGLE
MA/G/4/B/7/a.MathematicsGeometric and Spatial RelationshipsUse visualizatio, spatial reasoning and geometric modeling to solve problemsDraw and use visual models7th Gradedraw or use visual models to represent and solve problems
MA/N/1/C/7/a.MathematicsNumbers and OperationsUnderstand numbers, ways of representing numbers, relationships among numbers and number systemsCompose and decompose numbers7th Graderecognize equivalent representations for the same number and generate them by decomposing and composing numbers, including exponential notation