Fraction Unit Schematic
Instruction Manual for Fractions Unit
A. Overview of Technology Product
1. Instructional goal, intended audience, length, delivery approach, instructional sequence, and materials needed.
Goal of Instruction:
Given a variety of equations dealing with fractions, 8th grade students at Frontier Middle School will correctly use their basic math skills, with and without a calculator, to solve with 80% accuracy.
Target Population Overview:
This fraction unit is made as a resource for math teachers in grades 3-9. The unit will be used for students in the Special Education program in an 8th grade Math Basic Skills class.
Length: Approximately 10-13 hours
Delivery Approach: This is an instructor led unit
Materials List:
· ActivBoard and ActivBoard Lessons
· Computer
· Elmo (document camera)
· Whiteboards and markers
· Student binders
· Student Math Toolkit
· Student entry level tests, pre-tests, post-tests
· Student worksheets, guided notes, and paper for foldables
· Scissors, glue, tape, colored pencils/markers
· Student cell phones/iPads
· Internet for Mastery Connect
· Internet for Class Blog
· Photoshop
· Clickers
(Instructional Sequence) Task or Goal Analysis with Supporting Performance Objectives
Task 1.0 Entry Level Skills
1.1. Addition Review
1.2. Subtraction Review
1.3. Multiplication Review
1.4. Division Review
Task 2.0: Introduction to Fractions
2.1 Vocabulary
2.2 Labeling fractions
Task 3.0 Proper Fractions
3.1. What is a proper fraction
3.2 Proper fraction with common denominators
3.3 Comparing proper fractions
3.4 How to add and subtract proper fractions with common denominators
Task 4.0 Improper Fractions
4.1 What is an improper fraction
Performance Objective 1: When given a math worksheet of 10 improper and proper fractions, students will correctly circle with 90% accuracy.
4.2 What is a mixed number
4.21 Improper fraction to mixed fraction form
4.22 Mixed fraction to improper fraction form
Performance Objective 2: When given a math worksheet of 10 fractions, students will correctly write fractions from mixed fraction to improper fraction form with 80% accuracy.
4.3 How to add and subtraction improper fractions with common denominators
Performance Objective 3: When given a math worksheet of 10 addition and subtraction fraction equations with the same denominator, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 4: When given a math worksheet of 10 addition and subtraction fraction equations with the same denominator, students will correctly solve, with a calculator, with 80% accuracy
Task 5.0 Proper and Improper Fractions with different denominators
5.1 Greatest Common Factor (GFM)
5.2 Least Common Multiple (LCM)
Task 6.0 Comparing Fractions
6. 1 Comparing fractions with common denominators
6.2 Comparing fractions with different denominators
Performance Objective 5: When given a math worksheet of 10 fractions, including proper, improper, and mixed fractions, students will correctly compare two fractions with 80% accuracy.
Task 7.0 Multiplying Fractions
7.1 Multiplying with proper fractions
7.2. Multiplying with improper and mixed fractions
Performance Objective 6: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving multiplication, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 7: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions involving multiplication, students will correctly solve, with a calculator, with 80% accuracy.
Task 8.0 Dividing Fractions
8.1 Dividing with proper fractions
8.2 Dividing with improper and mixed fractions
Performance Objective 8: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving division, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 9: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving division, students will correctly solve, with a calculator, with 80% accuracy.
Performance Objective 10: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving a combination of addition, subtraction, multiplication, and division, without a calculator, students will correctly solve with 80% accuracy.
Performance Objective 11: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving a combination of addition, subtraction, multiplication, and division, with a calculator, students will correctly solve with 80% accuracy.
2. Brief overview of each lesson in the instruction
Lesson 1: Entry Level Skills
Students will do a basic math review (Order of Operations). They will also be taking their entry level test and pre-test for fractions.
Lesson 2: Introduction to Fractions
Students will be introduced to what a fraction is and looks like. They will learn the parts of a fraction.
Lesson 3: Proper Fractions & Adding and Subtracting Proper Fractions
Students will learn what a proper fraction is. They will learn how to compare fractions with common denominators, and how to add and subtract proper fractions with common denominators.
Lesson 4: Improper Fractions & Adding and Subtracting Improper Fractions
Students will learn what improper fractions and mixed fractions are. They will learn how to write a fraction in different ways. They will learn how to add and subtract improper fractions with common denominators. Students will take performance objectives 1-4.
Lesson 5: Proper and Improper Fractions with Different Denominators
Students will learn about proper and improper fractions with different denominators. They will learn how to find the Greatest Common Factor (GCF) and Least Common Multiple (LCM).
Lesson 6: Comparing Fractions
Students will learn how to compare fractions with common denominators and fractions with different denominators. Students will take performance objective 5.
Lesson 7: Multiplying Fractions
Students will learn how to multiply proper, improper, and mixed fractions. Students will take performance objectives 6-7.
Lesson 8: Dividing Fractions
Students will learn how to divide proper, improper, and mixed fractions. Students will take performance objectives 8-11. They will also take the fractions post-test.
3. Provide a brief overview of how learner performance is assessed.
Learners are assessed through their performance objective goals. These goals are usually worksheets students finish in class to show mastery of the skill or concept. At the beginning of the unit, student(s) will take an entry-level test and then a pre-test on their knowledge of fractions. They will be given 11 Performance Objectives to accomplish throughout the unit. At the very end of the unit the students will take a post-test. There is a class rubric (found in Appendix B) that will be used to keep track of student scores and data.
B. Instructional Strategies
Each lesson in this instructional unit includes a hands-on activity to get the students involved in the lesson. During the pre-instructional activity, students are actively involved in the learning. Each student will have a math toolkit to hold their foldables from the lesson. During the content presentation, each student will be given guided notes that will follow along with the presented lesson. Students will be able to follow along every step of the way. After the content presentation there is an assessment, which is usually in the form of a worksheet. The assessments are small, usually no more than 10 questions, as to not overwhelm the intended audience. Following the assessments there is a follow through activity. In this unit, the activity is generally a game of some sort. In this way, the teacher wants to reinforce what the students have just learned but to also have fun in the process. This is also a time to introduce part of the next lesson so students have an idea of what is coming next.
C. Instructional Materials needed for instructional event
· ActivBoard Lessons
· Student binders
· Student Math Toolkit
· Student entry level tests, pre-tests, post-tests
· Student assessments (Performance Objectives)
· Student worksheets, guided notes, and paper for foldables
· Math Videos (YouTube)
· Math Manipulatives (for Math ToolKit)
D. Physical Resources needed for the instructional event
· ActivBoard
· Computer
· Elmo (document camera)
· Whiteboards and markers
· Student binders
· Student Math Toolkit
· Scissors, glue, tape, colored pencils/markers
· Student cell phones/iPads
· Internet for Mastery Connect
· Internet for Class Blog
· Photoshop
· Clickers
E. All lesson plans, assessments and handouts that could be reproduced by those who use this plan of instruction can be found in the Lesson Plans Tab.
The Instructor's Manual and Lesson Plans can be downloaded from the file below.
1. Instructional goal, intended audience, length, delivery approach, instructional sequence, and materials needed.
Goal of Instruction:
Given a variety of equations dealing with fractions, 8th grade students at Frontier Middle School will correctly use their basic math skills, with and without a calculator, to solve with 80% accuracy.
Target Population Overview:
This fraction unit is made as a resource for math teachers in grades 3-9. The unit will be used for students in the Special Education program in an 8th grade Math Basic Skills class.
Length: Approximately 10-13 hours
Delivery Approach: This is an instructor led unit
Materials List:
· ActivBoard and ActivBoard Lessons
· Computer
· Elmo (document camera)
· Whiteboards and markers
· Student binders
· Student Math Toolkit
· Student entry level tests, pre-tests, post-tests
· Student worksheets, guided notes, and paper for foldables
· Scissors, glue, tape, colored pencils/markers
· Student cell phones/iPads
· Internet for Mastery Connect
· Internet for Class Blog
· Photoshop
· Clickers
(Instructional Sequence) Task or Goal Analysis with Supporting Performance Objectives
Task 1.0 Entry Level Skills
1.1. Addition Review
1.2. Subtraction Review
1.3. Multiplication Review
1.4. Division Review
Task 2.0: Introduction to Fractions
2.1 Vocabulary
2.2 Labeling fractions
Task 3.0 Proper Fractions
3.1. What is a proper fraction
3.2 Proper fraction with common denominators
3.3 Comparing proper fractions
3.4 How to add and subtract proper fractions with common denominators
Task 4.0 Improper Fractions
4.1 What is an improper fraction
Performance Objective 1: When given a math worksheet of 10 improper and proper fractions, students will correctly circle with 90% accuracy.
4.2 What is a mixed number
4.21 Improper fraction to mixed fraction form
4.22 Mixed fraction to improper fraction form
Performance Objective 2: When given a math worksheet of 10 fractions, students will correctly write fractions from mixed fraction to improper fraction form with 80% accuracy.
4.3 How to add and subtraction improper fractions with common denominators
Performance Objective 3: When given a math worksheet of 10 addition and subtraction fraction equations with the same denominator, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 4: When given a math worksheet of 10 addition and subtraction fraction equations with the same denominator, students will correctly solve, with a calculator, with 80% accuracy
Task 5.0 Proper and Improper Fractions with different denominators
5.1 Greatest Common Factor (GFM)
5.2 Least Common Multiple (LCM)
Task 6.0 Comparing Fractions
6. 1 Comparing fractions with common denominators
6.2 Comparing fractions with different denominators
Performance Objective 5: When given a math worksheet of 10 fractions, including proper, improper, and mixed fractions, students will correctly compare two fractions with 80% accuracy.
Task 7.0 Multiplying Fractions
7.1 Multiplying with proper fractions
7.2. Multiplying with improper and mixed fractions
Performance Objective 6: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving multiplication, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 7: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions involving multiplication, students will correctly solve, with a calculator, with 80% accuracy.
Task 8.0 Dividing Fractions
8.1 Dividing with proper fractions
8.2 Dividing with improper and mixed fractions
Performance Objective 8: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving division, students will correctly solve, without a calculator, with 80% accuracy.
Performance Objective 9: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving division, students will correctly solve, with a calculator, with 80% accuracy.
Performance Objective 10: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving a combination of addition, subtraction, multiplication, and division, without a calculator, students will correctly solve with 80% accuracy.
Performance Objective 11: When given a math worksheet of 10 fraction equations, including proper, improper, and mixed fractions, involving a combination of addition, subtraction, multiplication, and division, with a calculator, students will correctly solve with 80% accuracy.
2. Brief overview of each lesson in the instruction
Lesson 1: Entry Level Skills
Students will do a basic math review (Order of Operations). They will also be taking their entry level test and pre-test for fractions.
Lesson 2: Introduction to Fractions
Students will be introduced to what a fraction is and looks like. They will learn the parts of a fraction.
Lesson 3: Proper Fractions & Adding and Subtracting Proper Fractions
Students will learn what a proper fraction is. They will learn how to compare fractions with common denominators, and how to add and subtract proper fractions with common denominators.
Lesson 4: Improper Fractions & Adding and Subtracting Improper Fractions
Students will learn what improper fractions and mixed fractions are. They will learn how to write a fraction in different ways. They will learn how to add and subtract improper fractions with common denominators. Students will take performance objectives 1-4.
Lesson 5: Proper and Improper Fractions with Different Denominators
Students will learn about proper and improper fractions with different denominators. They will learn how to find the Greatest Common Factor (GCF) and Least Common Multiple (LCM).
Lesson 6: Comparing Fractions
Students will learn how to compare fractions with common denominators and fractions with different denominators. Students will take performance objective 5.
Lesson 7: Multiplying Fractions
Students will learn how to multiply proper, improper, and mixed fractions. Students will take performance objectives 6-7.
Lesson 8: Dividing Fractions
Students will learn how to divide proper, improper, and mixed fractions. Students will take performance objectives 8-11. They will also take the fractions post-test.
3. Provide a brief overview of how learner performance is assessed.
Learners are assessed through their performance objective goals. These goals are usually worksheets students finish in class to show mastery of the skill or concept. At the beginning of the unit, student(s) will take an entry-level test and then a pre-test on their knowledge of fractions. They will be given 11 Performance Objectives to accomplish throughout the unit. At the very end of the unit the students will take a post-test. There is a class rubric (found in Appendix B) that will be used to keep track of student scores and data.
B. Instructional Strategies
Each lesson in this instructional unit includes a hands-on activity to get the students involved in the lesson. During the pre-instructional activity, students are actively involved in the learning. Each student will have a math toolkit to hold their foldables from the lesson. During the content presentation, each student will be given guided notes that will follow along with the presented lesson. Students will be able to follow along every step of the way. After the content presentation there is an assessment, which is usually in the form of a worksheet. The assessments are small, usually no more than 10 questions, as to not overwhelm the intended audience. Following the assessments there is a follow through activity. In this unit, the activity is generally a game of some sort. In this way, the teacher wants to reinforce what the students have just learned but to also have fun in the process. This is also a time to introduce part of the next lesson so students have an idea of what is coming next.
C. Instructional Materials needed for instructional event
· ActivBoard Lessons
· Student binders
· Student Math Toolkit
· Student entry level tests, pre-tests, post-tests
· Student assessments (Performance Objectives)
· Student worksheets, guided notes, and paper for foldables
· Math Videos (YouTube)
· Math Manipulatives (for Math ToolKit)
D. Physical Resources needed for the instructional event
· ActivBoard
· Computer
· Elmo (document camera)
· Whiteboards and markers
· Student binders
· Student Math Toolkit
· Scissors, glue, tape, colored pencils/markers
· Student cell phones/iPads
· Internet for Mastery Connect
· Internet for Class Blog
· Photoshop
· Clickers
E. All lesson plans, assessments and handouts that could be reproduced by those who use this plan of instruction can be found in the Lesson Plans Tab.
The Instructor's Manual and Lesson Plans can be downloaded from the file below.
Fractions Unit Instructor's Manual | |
File Size: | 1304 kb |
File Type: |