Unit
Equations - Chapter 3
Local Objective
At the end of this unit students will be able to:
1. Use the Distributive Property to write equivalent numerical and algebraic expressions.
2. Use the Distributive Property to simplify algebraic expressions.
3. Solve equations by using the Subtraction and Addition Property of Equality.
4. Solve equations by using the Division and Multiplication Property of Equality.
5. Solve two-step equations.
6. Write verbal sentences as two-step equations and solve.
7. Describe sequences using words and symbols.
8. Find terms of arithmetic sequences.
9. Solve problems by using formulas.
10. Solve problems involving the perimeters and areas of rectangles.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
1. Using the Distributive Property worksheet to show the students can use the distributive property to write equivalent numerical and algebraic expressions.
2. Using the Simplifying Algebraic Expressions worksheet to show that students can use the distributive property to simplify algebraic expressions.
3. Using the Solving Equations by Adding or Subtracting worksheet to show that students can solve equations by the using the Subtraction and Addition Property of Equality.
4. Using the Solving Equations by Multiplying or Dividing worksheet to show that students can solve equations by using the Multiplication and Division Property of Equality.
5. Using the Solving Two-Step Equations worksheet to show that students can solve two-step equations.
6. Using the Writing Two-Step Equations worksheet to show that students can write verbal sentences as two-step equations and solve.
7. Using the Sequences and Equations worksheet to show that students can describe sequences using words and symbols and find terms of arithmetic sequences.
8. Using the Using Formulas worksheet to show that students can solve problems using formulas and involving the perimeters and areas of rectangles.
Level of Expectation
80%
List of concepts and Evaluation Types
| Concept | Evaluation Type |
| Unit Exam | PE |
| 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 examples, and then work guided practice problems on using the distributive Property to write equivalent numerical and algebraic expressions.
2. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on using the distributive Property to simplify algebraic expressions.
3. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on solving equations by using the Subtraction and Addition Property of Equality.
4. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on solving equations by using the Division and Multiplication Property of Equality.
5. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on solving two-step equations.
6. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on writing verbal sentences as two-step equations and solving.
7. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on describing sequences using words and symbols.
8. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on finding terms of arithmetic sequences.
9. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on solving problems by using formulas.
10. Take notes from the Smart board, follow along as teacher works examples, and then work guided practice problems on solving problems involving the perimeters and areas of rectangles.
During independent work time, students will complete the:
1. Distributive Property worksheet
2. Simplifying Algebraic Expressions worksheet
3. Solving Equations by Adding or Subtracting worksheet
4. Solving Equations by Multiplying or Dividing worksheet
5. Solving Two-Step Equations worksheet .
6. Writing Two-Step Equations worksheet
7. Sequences and Equations worksheet
8. Using Formulas 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 Distributive Property to write equivalent numerical and algebraic expressions.
2. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on using the Distributive Property to simplify algebraic expressions.
3. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving equations by using the Subtraction and Addition Property of Equality.
4. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving equations by using the Division and Multiplication Property of Equality.
5. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving two-step equations.
6. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on writing verbal sentences as two-step equations and solving.
7. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on describing sequences using words and symbols.
8. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on finding terms of arithmetic sequences.
9. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving problems by using formulas.
10. Use prepared notes to discuss, model examples, and provide guided practice problems, and correct as neccessary, on solving problems involving the perimeters and areas of rectangles.
While students are working on independent problems, teacher will observe and assist those students having difficulties.
Content Standards
CA 4, MA 4, MA 2
Process Standards
1.8, 1.5, 1.6, 3.1, 3.6
Resources
Glenco 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/2/2/A/07/a | Math | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Represent mathematical situations | Grade 7 | use variables to represent unknown quantities in equations and inequalities |
| 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 |
| 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
|
| 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
|
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| 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/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/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 |
| 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 |