Unit
Variables and Expressions
Local Objective
At the completion of this unit, the students will be able to:
- Translate words into algebraic expressions.
- Use patterns to show relationships and solve algebraic expressions.
- Write and evaluate expressions involving multiplication, addition, and subtraction.
- Use the Distributive Property to simplify expressions and solve equations.
- Use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.
- Solve problems by showing how to act out and draw conclusions in a given problem.
Objective used to evaluate students
Yes
Assessment Activity
Students will be assessed:
- Using the 6-1 Variables and Expressions Quick Check and Practice worksheets to show the student can translate words into algebraic expressions.
- Using the 6-2 Patterns and Expressions Quick Check and Practice worksheets to show the student can use patterns to show relationships and solve algebraic expressions.
- Using the 6-3 More Patterns and Expressions Quick Check and Practice worksheets to show that the student can write and evaluate expressions involving multiplication, addition, and subtraction.
- Using the 6-4 Distributive Property Quick Check and Practice worksheets to show the student can use the Distributive Property to simplify expressions and solve equations.
- Using the 6-5 Order of Operations Quick Check and Practice worksheets to show the student can use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.
- Using the 6-6 Problem Solving: Act it Out and Use Reasoning Quick Check and Practice worksheets to show the student can solve problems by showing how to act out and draw conclusions in a given problem.
- Using the Topic 6 Variables and Expressions Multiple Choice Exam to show students can:
- Translate words into algebraic expressions.(Questions 1, 4,10)
- Use patterns to show relationships and solve algebraic expressions. (Questions 3,5,16)
- Write and evaluate expressions involving multiplication, addition, and subtraction. (Questions 8,12,13)
- Use the distibutive property to simplify expressions and solve equations (Questions 2,7)
- Use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations. ( Questions 6,11,14,15 )
- Solve problems by showing how to act out and draw conclusions in a given problem. ( Question 9 )
Using the Topic 6 Variables and Expressions Free Response Exam:
- Translate words into algebraic expressions.(Questions 1-8)
- Use patterns to show relationships and solve algebraic expressions. (Questions 9-15)
- Write and evaluate expressions involving multiplication, addition, and subtraction. (Questions 16-19)
- Use the Distributive Property to simplify expressions and solve equations. (Question 20)
- Use given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.( Questions 21-22 )
- Solve problems by showing how to act out and draw conclusions in a given problem. ( Question 23 )
Level of Expectation
80%
List of concepts and Evaluation Types
| Concept | Evaluation Type |
| Solve problems by showing how to act out and draw | CR |
| Solve problems by showing how to act out and draw | SR |
| Use given values for variables to evaluate numeric | CR |
| Use given values for variables to evaluate numeric | SR |
| Use the Distributive Property to simplify expressi | CR |
| Use the Distributive Property to simplify expressi | SR |
| Write and evaluate expressions involving multiplic | CR |
| Write and evaluate expressions involving multiplic | SR |
| Use patterns to show relationships and solve algeb | CR |
| Use patterns to show relationships and solve algeb | SR |
| Translate words into algebraic expressions | CR |
| Translate words into algebraic expressions | SR |
Learning Activity
During whole group instruction, students will:
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to translate words into algebraic expressions.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using patterns to show relationships and solve algebraic expressions. Students will work in pairs to complete the Interactive Learning Recording Sheet 10 and then grade it as the teacher reads off and explains the answers.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to write and evaluate expressions involving multiplication, addition, and subtraction.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to use the Distributive Property to simplify expressions and solve equations.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions on using given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.
- Take notes from the SMART Board, follow along as the teacher works example problems, working out the problems on their slates, and then work guided practice questions to solve problems by showing how to act out and draw conclusions in a given problem.
During independent work time, students will complete the:
- 6-1Variables and Expressions Quick Check and Practice worksheet.
- 6-2 Patterns and Expressions Quick Check and Practice worksheet. Students will use their laptop computers to play a soccer decimal rounding game at the following website: http://www.math-play.com/rounding-decimals-game-1/rounding-decimals-game.html
- 6-3 More Patterns and Expressions Quick Check and Practice worksheet.
- 6-4 Distributive Property Quick Check and Practice worksheet
- 6-5 Order of Operations Quick Check and Practice worksheet.
- 6-6 Problem Solving: Act it Out and Use Reasoning Quick Check and Practice worksheet
At the end of each unit, the students will use their computers to play a review game over that topic by going to the Mind Point Quiz Bowl icon on their computer.
Instructional Method
During whole group instruction, the teacher will:
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to translate words into algebraic expressions.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to use patterns to show relationships and solve algebraic expressions. Put students into pairs and assign the Interactive Learning Recording Sheet 10, allowing 10 minutes to complete, then giving out and explaining the answers for the students to self grade.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to write and evaluate expressions involving multiplication, addition and subtraction.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on using the Distributive Property to simplify expressions and solve equations.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed on using given values for variables to evaluate numerical or algebraic expressions with three or more numbers and two or more operations.
- Display the Visual Learning Animations CD-ROM on the SMART Board, use prepared lesson materials to discuss, model examples and provide guided practice problems, providing assistance and feedback as needed to solve problems by showing how to act out the problem and draw conclusions.
Content Standards
MA 1, MA 4
Process Standards
1.5, 1.8, 3.1, 3.5
Resources
Scott Foresman EnVision Math Series Materials
www.pearsonsuccessnet.com
SMART Board
Student laptop computers with Internet connection
Student slates with dry erase markers
Correction Exercise
Scott Foresman EnVision Math Topic 3 Reteaching Materials
Enrichment Exercise
Scott Foresman EnVision Math Enrichment Materials
Center Activities and/or manipulatives
GLEs v2.0 and CLEs
| GLE Code | Discipline | Strand | Big Idea | Concept | Grade Level/Course | GLE |
| MA/A/1/B/5/a. | Mathematics | Algebraic Relationships | Understand patterns, relations and functions | Create and analyze patterns | 5th Grade | represent and analyze patterns using words, tables and graphs |
| MA/A/2/A/5/a. | Mathematics | Algebraic Relationships | Represent and analyze mathematical situations and structures using algebraic symbols | Represent mathematical situations | 5th Grade | using all operations, represent a mathematical situation as an expression or number sentence using a letter or symbol |
| MA/A/3/A/5/a. | Mathematics | Algebraic Relationships | Use mathematical models to represent and understand quantitative relationships | Use mathematical models | 5th Grade | model problem situations and draw conclusions, using representations such as graphs, tables or number sentence |
| MA/D/3/A/5/a. | Mathematics | Data and Probability | Develop and evaluate inferences and predictions that are based on data | Develop and evaluate inferences | 5th Grade | given a set of data, make and justify predictions |