ALEX Lesson Plan

     

Equations and Solutions

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  This lesson provided by:  
Author:Morgan Boyd
Organization:Retirement
  General Lesson Information  
Lesson Plan ID: 35677

Title:

Equations and Solutions

Overview/Annotation:

This lesson will use the substitution property to determine solutions to equations and inequalities. The students will be given a replacement set of values. The student will check the values to determine if the result is true or false. The values that are true will be the solution. The student will graph the inequality solutions on the number line.

This lesson results from the ALEX Resource Gap Project.

 Associated Standards and Objectives 
Content Standard(s):
Mathematics
MA2015 (2016)
Grade: 6
16 ) Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true' Use substitution to determine whether a given number in a specified set makes an equation or inequality true. [6-EE5]


NAEP Framework
NAEP Statement::
4NPO2c: Verify solutions or determine the reasonableness of results in meaningful contexts.

NAEP Statement::
8A4a: Solve linear equations or inequalities (e.g., ax + b = c or ax + b = cx + d or ax + b > c).

NAEP Statement::
8A4b: Interpret "=" as an equivalence between two expressions and use this interpretation to solve problems.

NAEP Statement::
8A5a: Make, validate, and justify conclusions and generalizations about linear relationships.

NAEP Statement::
8NPO2c: Verify solutions or determine the reasonableness of results in a variety of situations, including calculator and computer results.


Local/National Standards:

 

Primary Learning Objective(s):

Using the replacement set, the student will be able to determine the solution to a given equation.

The student will be able to graph the solution to an inequality.

Additional Learning Objective(s):

 
 Preparation Information 

Total Duration:

31 to 60 Minutes

Materials and Resources:

Notebook

Pencil

Calculator

Ruler

Textbook (will use for additional examples, if needed)

https://www.youtube.com/watch?v=ArbMdAMYd_s

https://www.youtube.com/watch?v=nif2PKA9bXA

http://www.commoncoresheets.com/Algebra.php (Worksheet from the first box "Using Substitution to Solve Problems" and third box "Expressing Inequalities on a Numberline"--make copies for all students) Same website fourth box "Writing Inequalities from a Numberline" for the accelerated students (make appropriate amount of copies)

Bell Ringer Substitution 6th Grade (located in the attachments)

Exit Slip Substitution 6th Grade (located in the attachments--make copies for all students)

Technology Resources Needed:

Interactive Whiteboard

Calculator

Background/Preparation:

Teacher:

The teacher will need to preview the videos to assess good stopping points for students to ask questions. The teacher will need to select a worksheet from the first, third, and fourth boxes on the website http://www.commoncoresheets.com/Algebra.php and make copies for the students.

Student:

The student will need to know the following terms: replacement set, solution, and substitution. The student will need to be able to use the order of operations adequately.

  Procedures/Activities: 

Before:

The teacher will have the bell ringer (in attachments) on the interactive whiteboard. The students will answer the questions in their notebooks. The teacher will ask selected students to answer the problems. The teacher will do an informal assessment to see if the students are ready to continue. The teacher will write on the interactive whiteboard, “Replacement Set and Solution.”  The teacher will discuss the meanings of these terms. The replacement set will be the numbers used to test the equation.  A true result when substituting the number for the variable means that the number is a solution. A false result when substituting the number for the variable means that the number is a not solution.

During:

  1. The teacher will start the video https://www.youtube.com/watch?v=ArbMdAMYd_s. The teacher will stop the video and solicit questions from the students. As the teacher stops and continues the video, the teacher will make informal assessments.
  2. The teacher can use more examples from the class's textbook as needed.
  3. The teacher will assign students into groups of four. The teacher will hand out the worksheet from common core sheets first box, "Using Substitution to Solve Problems." The teacher will monitor the students and use differentiated instruction. The teacher will allow students to answer the problems on the interactive whiteboard. The teacher will do an informal assessment.
  4. The teacher will start the video https://www.youtube.com/watch?v=nif2PKA9bXA. The teacher will stop the video and solicit questions from the students. As the teacher stops and continues the video, the teacher will make informal assessments.
  5. The teacher can use more examples from the class's textbook as needed.
  6. The teacher will assign students into groups of four. The teacher will hand out the worksheet from common core sheets third box, "Expressing Inequalities on a Numberline."  The teacher will monitor the students and use differentiated instruction. The teacher will allow students to answer the problems on the interactive whiteboard. The teacher will do an informal assessment.

After:

The teacher will hand out the exit slip Substitution 6th Grade from the attachments. The students will answer and turn in as they leave the classroom. The teacher will grade the exit slip for a formal assessment.



Attachments:
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  Assessment  

Assessment Strategies

Informal:

The teacher will do informal assessments during the videos.

The teacher will do informal assessments during group work on independent practice and adjust instruction as needed.

Formal:

The teacher will use the exit slip, "Substitution 6th Grade", as the formal assessment to make sure the standard is mastered.

Acceleration:

The teacher will make copies of the worksheet from the fourth box "Writing Inequalities from a Numberline" on the website http://www.commoncoresheets.com/Algebra.php.  Students will be challenged to write an inequality to express the number line.

Intervention:

The teacher will assign students to groups with a peer tutor. The teacher will use differentiated instruction as needed with students by monitoring their work. The teacher will do one-on-one instruction if needed.


View the Special Education resources for instructional guidance in providing modifications and adaptations for students with significant cognitive disabilities who qualify for the Alabama Alternate Assessment.