name: reba hekkersubject area: integrated...

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Objectives: At the end of the lesson, students will be able to… Assessments: I will know they can do this because they will… 1. Write a system of linear equations from a word problem 1. Do sample problems and HW Name: Reba Hekker Subject Area: Integrated Algebra Date: 7/1/11 Grade Level: Thinking Skills: Predicting Sorting Explaining Title: Solving Problems by Writing (and Solving) Systems of Equations Description: This lesson is designed to be taught after students are comfortable solving systems of linear equations by both the substitution and elimination methods. The lesson focuses on writing two equations based on information in a word problem. Students will start by working in pairs to complete a Tea Party exercise. Each Tea Party slip contains a word problem that can be solved by a single equation, a system of two equations or a system of three equations. Students will sort the slips and explain how they sorted. The class will then use the handout with nine word problems and practice Text Highlighting. Students will use one color of highlighter for information for the first equation and a second color for the second piece of information. We will write the system of equations and also focus on answering the question being asked in the problem. We will not solve the systems during this class period. Finally, students will complete an Exit Slip Essential Questions: How can we solve problems using a system of equations? Reading Skills: Questioning the text Drawing inferences Determining importance Synthesizing Writing/Speaking Skills: Working with a partner to sort Highlighting Text Writing equations

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Page 1: Name: Reba HekkerSubject Area: Integrated …literacylessons.wikispaces.com/file/view/Reba3writesyst…  · Web viewEach Tea Party slip contains a word problem that can be solved

Objectives:At the end of the lesson, students will be able to…

Assessments:I will know they can do this because they will…

1. Write a system of linear equations from a word problem

1. Do sample problems and HW

Name: Reba Hekker Subject Area: Integrated AlgebraDate: 7/1/11 Grade Level: 8th grade

Time Required: 42 minutes

Thinking Skills: Predicting Sorting Explaining

Title: Solving Problems by Writing (and Solving) Systems of Equations

Description: This lesson is designed to be taught after students are comfortable solving systems of linear equations by both the substitution and elimination methods. The lesson focuses on writing two equations based on information in a word problem. Students will start by working in pairs to complete a Tea Party exercise. Each Tea Party slip contains a word problem that can be solved by a single equation, a system of two equations or a system of three equations. Students will sort the slips and explain how they sorted. The class will then use the handout with nine word problems and practice Text Highlighting. Students will use one color of highlighter for information for the first equation and a second color for the second piece of information. We will write the system of equations and also focus on answering the question being asked in the problem. We will not solve the systems during this class period. Finally, students will complete an Exit Slip

Essential Questions: How can we solve problems using a system of equations?

Standards: (NYS) Math A.A.7 (CCSS) RST 1, 3, 4, 5, 6

Reading Skills: Questioning the text Drawing inferences Determining importance Synthesizing

Writing/Speaking Skills: Working with a partner to sort Highlighting Text Writing equations

Page 2: Name: Reba HekkerSubject Area: Integrated …literacylessons.wikispaces.com/file/view/Reba3writesyst…  · Web viewEach Tea Party slip contains a word problem that can be solved

Pre-Reading

During Reading

Post-Reading

Learning Styles: Visual Auditory

Materials:

Tea Party slips Handout with problems, highlighters Exit slip

*Please attach all student handouts

Tea Party Slips

Procedure before Reading:

1. Students will work in pairs to sort slips in the attached “Tea Party” and explain their sort.

Procedure while Reading:

1. Instruct students to analyze the word problems in the hand out as follows:a. Determine the question being asked in the problem. Write a sentence stem that answers the

question.b. Define variablesc. Use one color of Highlighter to mark first piece of information in problemd. Use second color to mark second piece of information

2. Write system of equations

Procedure after Reading:

1. Students will complete “Exit Slip”

Page 3: Name: Reba HekkerSubject Area: Integrated …literacylessons.wikispaces.com/file/view/Reba3writesyst…  · Web viewEach Tea Party slip contains a word problem that can be solved

Yvonne is thinking of a number. Fifty, decreased by three times the number, is the same as seven times the number, increased by 80. What is Yvonne’s number?

Snorkel and two friends rented three life jackets and sailboat. The life jackets were $3 each and the boat was $12 and hour. The total cost was $81. For how many hours did they rent the sailboat?

Working as a waiter, Michael earns $6.50 per hour plus tips. Last night, he received $38.50 in tips and earned a total of $74.25. How many hours did he work?

Bowl-o-Rama charges $2.50 per game plus $2 for shoe rental, and Bowling Pinz charges $2 per game plus $4 for shoe rental. For how many games will the cost to bowl be the same at both places?

The sum of two numbers is 50. The first number is 43 less than twice the second number. Find the two numbers.

Each family in a neighborhood is contributing $20 worth of food to the neighborhood picnic. The Harlin family is bringing 12 packages of buns. The hamburger buns cost $2.00 per package. The hot-dog buns cost $1.50 per package. How many packages of each type of bun did they buy?

The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Find the two digits.

An inheritance of $16,000 was divided among three investments earning a total of $990 in interest per year. The interest rates were 5%, 6%, and 7%. Find the amount in each investment if the 5% and 6% investments were $3,000 and $2,000 less than the 7% investment, respectively.

Page 4: Name: Reba HekkerSubject Area: Integrated …literacylessons.wikispaces.com/file/view/Reba3writesyst…  · Web viewEach Tea Party slip contains a word problem that can be solved
Page 5: Name: Reba HekkerSubject Area: Integrated …literacylessons.wikispaces.com/file/view/Reba3writesyst…  · Web viewEach Tea Party slip contains a word problem that can be solved

Exit Slip – Writing systems of equations

Read the following word problem:

A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points total. How many 2-point problems and how many 3-point problems are on the test?

What kind of a problem is this - quantity or quality?

Define two variables and write a system of equations that could be used to solve this problem

What method would you use to solve this problem – elimination or substitution?

Exit Slip – Writing systems of equations

Read the following word problem:

A math test has 25 problems. Some are worth 2 points, and some are worth 3 points. The test is worth 60 points total. How many 2-point problems and how many 3-point problems are on the test?

What kind of a problem is this - quantity or quality?

Define two variables and write a system of equations that could be used to solve this problem

What method would you use to solve this problem – elimination or substitution?