Objective Content

Unit

Solving and Writing Equations, Inequalities and Graphs

Local Objective

At the completion of this unit, the students will be able to:

Solve one-step equations involving addition or subtraction.
Solve one-step equations involving multiplication or division.
Use a number line to graph solutions of an inequality.
complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table.
Draw diagrams or pictures and write equations to solve problems.
Read and write integers and represent them on a number line.
Identify and graph points on a coordinate plane.
Use number lines and the coordinate plane to find distances involving positive and negative numbers.
Make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation.

Objective used to evaluate students

Yes

Assessment Activity

Students will be assessed:

Using the 15-1 Solving Addition and Subtraction Check and Practice worksheets to show the student can solve one-step equations involving addition or subtraction.
Using the 15-2 Solving Multiplication and Division Equations Quick Check and Practice worksheets to show the student can solve one-step equations involving multiplication or division.
Using the 15-3 Inequalities and the Number Line Quick Check and Practice worksheets to show that the student can Use a number line to graph solutions of an inequality.
Using the 15-4 Patterns and Equations Quick Check and Practice worksheets to show the student can complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table. .
Using the 15-5 Problem Solving: Draw a Picture and Write an Equation Quick Check and Practice worksheets to show the student can draw diagrams or pictures and write equations to solve problems.
Using the 17-1 Understanding Integers Quick Check and Practice worksheets to show the student can read and write integers and represent them on a number line.
Using the 17-2 Ordered Pairs Quick Check and Practice worksheets to show the student can identify and graph points on a coordinate plane.
Using the 17-3 Distances on Number Lines and the Coordinate Plane Quick Check and Practice worksheets to show the student can use number lines and the coordinate plane to find distances involving positive and negative numbers.
Using the 17-4 Graphing Equations Quick Check and Practice worksheets to show the student can make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation.
After completing practice on objectives 1-5, using the Topic15 Solving and Writing Equations and Inequalities Multiple Choice Exam to show students can:

Solve one-step equations involving addition or subtraction.( Questions 1,8 )
Solve one-step equations involving multiplication or division. ( Questions 3,9 )
Use a number line to graph solutions of an inequality. ( Questions 5,7,10 )
complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table.( Questions 2,4,6,12 )
Draw diagrams or pictures and write equations to solve problems. ( Question 11 )

Using the Topic Topic15 Solving and Writing Equations and Inequalities Free Response Exam:

Solve one-step equations involving addition or subtraction.( Questions3,5,7,8,11,15,17,19,20 )
Solve one-step equations involving multiplication or division .( Questions 4,6,9,10,12,13,14,16,18 )
Use a number line to graph solutions of an inequality .( Questions 23,24 )
complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table. ( Questions 21,22 )
Draw diagrams or pictures and write equations to solve problems. ( Question 25)

16. After completing practice on objectives 6-9, using the Topic17 Equations and Graphs Multiple Choice Exam to show students can:

Read and write integers and represent them on a number line .( Questions 3,6,9 )
Identify and graph points on a coordinate plane. ( Questions 1,11 )
Use number lines and the coordinate plane to find distances involving positive and negative numbers.( Questions 5,10 )
Make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation. ( Questions 2,7,8 )

After completing practice on objectives 6-9, using the Topic16 Equations and Graphs Multiple Choice Exam to show students can:

Read and write integers and represent them on a number line. ( Questions 4,5 )
Identify and graph points on a coordinate plane.( Questions7-15 )
Use number lines and the coordinate plane to find distances involving positive and negative numbers. ( Question 6)
Make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation .( Questions 1-3,16)

Level of Expectation

80%

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 solve one-step equations involving addition or 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 solve one-step equations involving multiplication or division.
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 a number line to graph solutions of an inequality.
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 complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table.
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 draw diagrams or pictures and write equations to solve problems.
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 read and write integers and represent them on a number line.
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 identify and graph points on a coordinate plane.
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 number lines and the coordinate plane to find distances involving positive and negative numbers.
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 make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation.

During independent work time, students will complete the:

15-1 Solving Addition and Subtraction Quick Check and Practice worksheet.
15-2 Solving Multiplication and Division Equations Quick Check and Practice worksheet.
15-3 Inequalities and the Number Line Quick Check and Practice worksheet.
15-4 Patterns and Equations Quick Check and Practice worksheet
15-5 Problem Solving: Draw a Picture and Write an Equation Quick Check and Practice worksheet.
17-1 Understanding Integers Check and Practice worksheet
17-2 Ordered Pairs Quick Check and Practice worksheet
17-3 Distances on Number Lines and the Coordinate Plane Quick Check and Practice worksheet.
17-4 Graphing Equations 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 solve one-step equations involving addition or 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 to solve one-step equations involving multiplication or division.
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 a number line to graph solutions of an inequality.
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 complete a table of values for an equation or write an equation to describe the relationship between pairs of numbers in a table.
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 draw diagrams or pictures and write equations to solve problems.
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 read and write integers and represent them on a number line.
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 identify and graph points on a coordinate plane.
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 number lines and the coordinate plane to find distances involving positive and negative numbers.
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 make a table of x- and y- values for an equation, then use the ordered pairs to graph an equation.

Content Standards

MA 1, MA 3, MA 4

Process Standards

1.1, 1.2, 1.4, 1.5, 1.8, 2.1, 2.3, 3.2, 3.4, 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/A/4/A/5/a.	Mathematics	Algebraic Relationships	Analyze change in various contexts	Analyze change	5th Grade	identify, model and describe situations with constant or varying rates of change
MA/D/1/A/5/a.	Mathematics	Data and Probability	Formulate questions that can be dressed with data and collect, organize, and display relevant data to answer them	Formulate questions	5th Grade	evaluate data collection methods
MA/D/1/C/5/a.	Mathematics	Data and Probability	Formulate questions that can be dressed with data and collect, organize, and display relevant data to answer them	Represent and interpret data	5th Grade	describe methods to collect, organize and represent categorical and numerical data
MA/D/2/A/5/a.	Mathematics	Data and Probability	Select and use appropriate statistical methods to analyze data	Describe and analyze data	5th Grade	compare related data sets
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