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Solving One-Step Equations by Adding and Subtracting Fractions

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  Document Type: Lesson Plan
  Lesson Plan Type: Demonstration,Direct Instruction,Drill & Practice,Interactive Instruction,Lecture,Presentation (PowerPoint)
  Subject: Mathematics,Pre-Algebra
  Grade Level: 7
  Time: 53 minutes
  Last Updated: 12-18-2010
     
  Keywords:
     
     
 
Created/Provided by:
Katie Thomas
Ocala Middle School,
Alum Rock Union School District
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CALIFORNIA STATE STANDARDS ADDRESSED

Mathematics/7/Number Sense
1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
2.2 Add and subtract fractions by using factoring to find common denominators.

Mathematics/7/Algebra and Functions
1.3 Simplify numerical expressions by applying properties of rational numbers (e.g., identity, inverse, distributive, associative, commutative) and justify the process used.



 
BRIEF DESCRIPTION
Students learn how to solve a one-step equation be adding and subtracting fractions.  It is expected that students are both able to solve one-step equations with whole numbers and add and subtract fractions with like and unlike denominators. 
 
PROCEDURES
 
Goal(s):
Students will take notes on the objective.  Teacher will demonstrate how to solve 5 example problems.  Teacher guides students in solvng 3 example problems.  Students practice in the form of a whiteboard relay race. 
 
Specific Objectives:
Students will be able to solve one-step equations by adding and subtracting fractions.
 
Required Materials:
Promethean Board, individual whiteboards (one for each group of four), whiteboard markers (one for each group of four), and whiteboard erasers or tissues (one for each group of four). 
 
Anticipatory Set (Lead-in):
Students will complete a warm-up consisting of review problems.  Students will be asked to convert improper fractions to mixed numbers. 
 
Lesson Plan Procedure:
1.  Students will write their answers to warm-up problems on the promethean board as teacher circulates and students complete problems.
2.  Teacher breifly reviews answers to warm-up.
3.  Students take notes.
4.  Teacher demonstrates five problems while making references to notes.
5.  Students work together to complete 3 problems.  While students are working, one student at a time comes to the promethean board to show the answer and steps for one problem.
6.  Teacher breifly reviews answers to example problems, asked students at random to describe the steps taken to solve one or more of the problems.
7.  Students compete in relay races to practice problems. 
 
Closure (Reflect Anticipatory Set):
Students will complete a mini-assessment consisting of four problems on a quarter sheet of paper.  Students will grade the mini-assesment and turn it in before leaving the class.
 
Assessments & notes
 
Plan for Independent Practice:
Independent practice consists of problems completed in a whiteboard relay race.  Each student completes one step of a problem before passing it to the next person in their group of four.  The student starting each problem changes after each problem, so that students practice every step of the problem solving process. 
 
Assessment Based on Objectives:
Students will complete a 4 question mini-quiz at the end of the period.  They will correct the quiz themselves to assess their own understanding.  At the end of the class they will pass the mini-quiz to allow the teacher to assess their understanding. 
 
Possible Connections to Other Subjects:
Students will use these skills in their science class.
 
Adaptations & Extensions:
Some students will be given copies of notes (students who are slow at copying or students for which copying notes is a barrier to their comprehension).  Each example problem that students are expected to do are broken down into two proficiencies to give struggling students a chance to access the objective while at the same time allowing access to more rigorous material for students who can easily access the objective. 
 
 
 
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Title:

Solving One-Step Equations by Adding and Subtracting Fractions

Grade Level:

7

Subject:

Mathematics,Pre-Algebra

Author:

kaitemthom

Time:

53 minutes

Lesson Plan Type:

Demonstration,Direct Instruction,Drill & Practice,Interactive Instruction,Lecture,Presentation (PowerPoint)

Keywords:

one-step equations, adding and subtracting fractions with like and unlike denominators

Brief Description:

Students learn how to solve a one-step equation be adding and subtracting fractions.  It is expected that students are both able to solve one-step equations with whole numbers and add and subtract fractions with like and unlike denominators. 

California State Standards Addressed:

Mathematics/7/Number Sense)1.2,2.2
Mathematics/7/Algebra and Functions)1.3

Goal(s):

Students will take notes on the objective.  Teacher will demonstrate how to solve 5 example problems.  Teacher guides students in solvng 3 example problems.  Students practice in the form of a whiteboard relay race. 

Specific Objectives:

Students will be able to solve one-step equations by adding and subtracting fractions.

Required Materials:

Promethean Board, individual whiteboards (one for each group of four), whiteboard markers (one for each group of four), and whiteboard erasers or tissues (one for each group of four). 

Anticipatory Set (Lead-in):

Students will complete a warm-up consisting of review problems.  Students will be asked to convert improper fractions to mixed numbers. 

Lesson Plan Procedure:

1.  Students will write their answers to warm-up problems on the promethean board as teacher circulates and students complete problems.
2.  Teacher breifly reviews answers to warm-up.
3.  Students take notes.
4.  Teacher demonstrates five problems while making references to notes.
5.  Students work together to complete 3 problems.  While students are working, one student at a time comes to the promethean board to show the answer and steps for one problem.
6.  Teacher breifly reviews answers to example problems, asked students at random to describe the steps taken to solve one or more of the problems.
7.  Students compete in relay races to practice problems. 

Closure (Reflect Anticipatory Set):

Students will complete a mini-assessment consisting of four problems on a quarter sheet of paper.  Students will grade the mini-assesment and turn it in before leaving the class.

Plan for Independent Practice:

Independent practice consists of problems completed in a whiteboard relay race.  Each student completes one step of a problem before passing it to the next person in their group of four.  The student starting each problem changes after each problem, so that students practice every step of the problem solving process. 

Assessment Based on Objectives:

Students will complete a 4 question mini-quiz at the end of the period.  They will correct the quiz themselves to assess their own understanding.  At the end of the class they will pass the mini-quiz to allow the teacher to assess their understanding. 

Possible Connections to Other Subjects:

Students will use these skills in their science class.

Adaptations and Extensions:

Some students will be given copies of notes (students who are slow at copying or students for which copying notes is a barrier to their comprehension).  Each example problem that students are expected to do are broken down into two proficiencies to give struggling students a chance to access the objective while at the same time allowing access to more rigorous material for students who can easily access the objective. 

Additional Notes: