Unit
The Tools of Algebra - Chapter 1
Local Objective
At the end of this lesson the students will be able to:
1. Use the order of operations to evaluate expressions.
2. Translate verbal phrases into numerical and algebraic expressions.
3. Evaluate expressions containing variables.
4. Use properties of addition and multiplication to simplify algebraic expressions.
5. Solve open sentences.
6. Translate verbal sentences into equations.
7. Use ordered pairs to locate points.
8. Use tables and graphs to represent relations.
9. Construct scatter plots and analyze trends in scatter plots.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Numbers and Expressions worksheet to show the student can use the order of operations to evaluate expressions and translate verbal phrases into numberical expressions.
2. Using the Variables and Expressions worksheet to show the students can evaluate expressions containing variables and translate verbal phrases into algebraic expressions.
3. Using the Properties of Addition and Multiplication worksheet to show the students can use properties of addition and multiplication to simplify algebraic expressions.
4. Using the Variables and Equations Worksheet to show the students can solve open sentences and translate verbal sentenecs into equations.
5. Using the Ordered Pairs and Relations worksheet to show the students can use ordered pairs to locate points and use tables and graphs to represent relations.
6. Using the Scatter Plots worksheet to show the students can construct scatter plots and analyze trends in scatter plots.
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 using the order of operations to evaluate expressions.
2. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on translating verbal phrases into numerical and algebraic expressions.
3. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on evaluating expressions containing variables.
4. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using properties of addition and multiplication to simplify algebraic expressions.
5. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on solving open sentences.
6. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on translating verbal sentences into equations.
7. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using ordered pairs to locate points.
8. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on using tables and graphs to represent relations.
9. Take notes from the Smart board, follow along as teacher works example problems, and then work guided practice problems on constructing scatter plots and analyzing trends in scatter plots.
During independent work time, students will complete the:
1. Numbers and Expressions worksheet
2. Variables and Expressions worksheet
3. Properties of Addition and Multiplication worksheet
4. Variables and Equations Worksheet
5. Ordered Pairs and Relations worksheet
6. Scatter Plots worksheet
Instructional Method
During whole group instruction, the teacher will:
1. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using the order of operations to evaluate expressions.
2. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on translating verbal phrases into numerical and algebraic expressions.
3. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on evaluating expressions containing variables.
4. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using properties of addition and multiplication to simplify algebraic expressions.
5. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving open sentences.
6. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on translating verbal sentences into equations.
7. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using ordered pairs to locate points.
8. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using tables and graphs to represent relations.
9. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on constructing scatter plots and analyzing trends in scatter plots.
While students are working on independent problems, teacher will observe and assist those students having difficulties.
Content Standards
MA 2, MA 4, MA 5
Process Standards
1.8, 1.5, 1.6, 1.10, 3.6
Resources
Glencoe Pre-Algebra Textbook
SMART Board
Enrichment Exercise
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/1/2/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/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/2/2/B/07/a | Math | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Describe and use mathematical manipulation | Grade 7 | generate equivalent forms for simple algebraic expressions |
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| 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/A/2/B/7/a. | Mathematics | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Describe and use mathematical manipulation | 7th Grade | use properties to generate equivalent forms for simple algebraic expressions that include positive rationals 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/2/A/7/a. | Mathematics | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Represent mathematical situations | 7th Grade | use symbolic algebra to represent unknown quantities in expressions or equations and solve linear equations with one variable |
Objective Notes/Essential Questions
| Date | Note/Question |
| 2/8/2007 1:41:39 PM |
|