Teacher Notes This method does not have students memorize the rule “reverse signs when multiply or divide by a negative”. We are starting with reading.

Slides:



Advertisements
Similar presentations
©Evergreen Public Schools /31/2011 Systems of Inequalities Teacher Notes Supplies: Notes: Vocabulary:
Advertisements

Word Problems with Inequalities
10/13/2011 ©Evergreen Public Schools Standard Form. Vocabulary: standard form x -intercept.
Solving Linear Equations and Inequalites
2.1 Solving Equations and Inequalities. The local phone company charges $12.95 a month for the first 200 of air time, plus $0.07 for each additional minute.
Linear Inequalities Honors Math – Grade 8. Graphing Linear Inequalities in Two Variables The solution set for an inequality in two variables contains.
Lesson 3.6 – 3.7 Solve One-Step Inequalities Essential Question: How do you solve an inequality?
2.4 – Linear Inequalities in One Variable
2-2 & 2-3 Solving Inequalities using addition, subtraction, multiplication and division.
California Standards Preview of Algebra Students solve multistep problems, including word problems, involving linear equations and linear.
Learn to solve and graph inequalities by using multiplication or division. Course Solving Inequalities by Multiplying and Dividing.
4.1 Solving Linear Inequalities 11/2/2012. You have learned how to solve equations with 1 variable. Ex. x + 3 = x = 4 Ex. x - 5 = x =
Chapter 1.5 Solving Inequalities
2.6 Linear Inequalities in Two Variables
10-4 Solving Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
11-4 Solving Inequalities by Multiplying or Dividing Course 3 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.
Regents Review #4 Inequalities and Systems Roslyn Middle School Research Honors Integrated Algebra.
Regents Review #4 Inequalities and Systems. Simple Inequalities 1)Solve inequalities like you would solve an equation (use inverse operations to isolate.
Unit 3 Solving Equations. Learning Goals I can solve simple one and two step equations Unit 3: Solving Equations Solving Polynomial Equations (1)
Linear Equations in One variable Nonlinear Equations 4x = 8 3x – = –9 2x – 5 = 0.1x +2 Notice that the variable in a linear equation is not under a radical.
Solving Systems of Linear Inequalities
Learning Targets Solve linear equations using a variety of methods.
3/17/2011 ©Evergreen Public Schools System with Exponential Equations.
Solving Compound inequalities with OR. Equation 2k-5>7 OR -3k-1>8.
Evaluating Algebraic Expressions 3-7 Solving Inequalities by Multiplying and Dividing AF4.0 Students solve simple linear equations and inequalities over.
Evaluating Algebraic Expressions 3-7 Solving Inequalities by Multiplying and Dividing Warm Up Warm Up California Standards California Standards Lesson.
Solve Inequalities 1 © Evergreen Public Schools 11/1/2010.
©Evergreen Public Schools Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from.
3-1 Graphing and Writing Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview.
2-1 Solving Linear Equations and Inequalities Warm Up
Warm Up Put your HW and tracking sheet on the corner of your desk. Solve and graph. 1.r - (-5) < m < < 0.5h Write an inequality: 4. Twelve.
Holt CA Course Solving Equations with Variables on Both Sides Preview of Algebra Students solve multistep problems, including word problems,
Introduction Constraint equations are used to model real-life situations that involve limits. Unlike other types of equations used for modeling, constraint.
Warm Up Compare. Write, or =. 1. − < > > = Tell whether the inequality x < 5 is true or false for the following values of x. 5.
Do Now 12/16/09  Take out HW from Monday and Tuesday. Text p. 366, #16-32 even, 36 & 40 Text p. 366, #16-32 even, 36 & 40 Text p.368, #1-10 Text p.368,
Solving Linear Inequalities Included in this presentation:  Solving Linear Inequalities  Solving Compound Inequalities  Linear Inequalities Applications.
Holt Algebra Solving Linear Equations and Inequalities Section 2.1 Solving Linear Equations and Inequalities.
Solve Inequalities 1 © Evergreen Public Schools 7/28/10.
Using Systems to Solve Problems (day 3 of 3) MCC9-12.A.REI.5 & MCC9-12.A.REI6 Learning Target: I am learning to write and solve a system of equations to.
Review Advanced Algebra 1.
3-1 & 3-2 Vocabulary 1.) Solution of an inequality 2.) Equivalent inequalities.
Holt CA Course Solving Equations with Variables on Both Sides Warm Up Warm Up California Standards Lesson Presentation Preview.
Warm Up Compare. Write <, >, or =. 1. − <
Regents Review #4 Inequalities and Systems. Simple Inequalities 1)Solve inequalities like you would solve an equation (use inverse operations and properties.
Additional Example 1: Using Inverse Operations to Group Terms with Variables Group the terms with variables on one side of the equal sign, and simplify.
Solve Absolute Value Equations © Evergreen Public Schools 2010.
Thinking Mathematically Algebra: Equations and Inequalities 6.4 Linear Inequalities in One Variable.
7th Grade Pre-Algebra Ms. Beaty
1 ©Evergreen Public Schools /15/10 Teacher Notes This lesson is an alternative to section 5-6 Reciprocals Methodology: Multiply by common denominator.
3/17/2011 ©Evergreen Public Schools Systems with Quadratic Inequalities.
Holt CA Course Solving Equations with Variables on Both Sides Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson.
Solving and Graphing Inequalities CHAPTER 6 REVIEW.
2-1 Solving Linear Equations and Inequalities Warm Up
Chapter Notes: Solving Inequalities Using Addition, Subtraction, Multiplication and Division Goal: You will solve inequalities using addition,
OPENING: EXPLAIN HOW TO SOLVE A ONE- STEP EQUATION. Two-Step Equations 3.1 LESSON.
10-4 Solving Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.
Before: September 21, During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction,
Holt Algebra Graphing and Writing Inequalities Warm Up Compare. Write, or =. 1. − < > > = Tell whether the inequality x
Preview Warm Up California Standards Lesson Presentation.
6-7 Solving inequalities by Multiplication or division
Algebra: Equations and Inequalities
Solve a system of linear equation in two variables
Essential Question: How do you solve and graph one step inequality?
Graphing and Writing Inequalities
0.4 Solving Linear Inequalities
Systems of Inequalities Teacher Notes
1. > < ≥ ≤ Signs of Inequality Term Definition Example
Solvig Inequalities.
Presentation transcript:

Teacher Notes This method does not have students memorize the rule “reverse signs when multiply or divide by a negative”. We are starting with reading a math problem. Method: Solve the inequality like an equation. Then substitute the solution into the inequality and check a point on either side of the point to find the direction of the inequality sign. The launch: The Text Messaging Plan Give students index cards with numbers of cell phone minutes. The first question has one solution– this is an equation. The last two questions are inequalities with ≤ ≥, respectively. Good day for the mini whiteboards (one for each student)

Linear Inequalities Target 2 I can solve inequalities in one variable. What do you think is a solution to 3 x + 1 ≥ 9 What do you think is a solution to 3 x + 1 ≥ 9 Learning Target

Your teacher will give you a card with a number of text messages. LaunchLaunch

The Text Messaging Plan John’s mom gave him a cell phone. She said she would pay up to $50 each month for text messages. The plan charges $10 a month for 1,000 texts plus $0.10 per each texts over the included 1,000 texts. The card you have is the number of texts John sent last month. Whose card has John’s mom paying the full $50, but John paying nothing?

John’s mom gave him a cell phone. She said she would pay up to $50 each month for text messages. The plan charges $10 a month for 1,000 texts plus $0.10 per each text over the included 1,000 texts. The card you have is the number of texts John sent last month. Whose card has John’s mom paying less than $50? The Text Messaging Plan

John’s mom gave him a cell phone. She said she would pay up to $50 each month for text messages. The plan charges $10 a month for 1,000 texts plus $0.10 per each text over the included 1,000 texts. The card you have is the number of texts John sent last month. Whose card has John paying his mom? The Text Messaging Plan

People Number Line Find your place along the number line. Tape your card along the number line.

Inequalities Write an inequality that describes the number of texts which would satisfy each statement: 1. John’s mom pays less than $ John’s mom pays $ John pays his mom some money. 4. John’s mom pays $50 or less.

©Evergreen Public Schools ExploreExplore

Work with a Partner Be prepared to share.

Edgar’s gift card Read the problem. What is the story? Edgar has an itunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Edgar’s gift card Read it again. What do you want to know? Edgar has an etunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Edgar’s gift card Read it again. What do you know now that can help you solve the problem? Edgar has an etunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Edgar’s gift card Write an equation that can be used to solve the problem. Define the variable you used. Edgar has an etunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Edgar’s gift card Write an inequality that can be used to solve the problem. Define the variable you used. Edgar has an etunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Edgar’s gift card Find all solutions. Graph the solutions on a number line. Edgar has an etunes gift card for $50. Songs cost $0.99 Music videos cost $1.99 CDs cost $14.99 How many CDs can Edgar buy and not spend more than his gift card?

Time to share.

Work with a Partner Be prepared to share.

High School Musical Read the problem. What is the story? Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

High School Musical Read it again. What do you want to know? Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

High School Musical Read it again. What do you know now that can help you solve the problem? Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

High School Musical Write an equation that can be used to solve the problem. Define the variable you used. Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

High School Musical Write an inequality that can be used to solve the problem. Define the variable you used. Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

High School Musical Find all solutions. Graph the solutions on a number line. Tickets to the musical are $9 for adults, $5 for students without ASB, and free to students with ASB, and children. The 124 students bought their tickets in advance. If only adults buy the rest of the tickets, how many adults would have to buy tickets for the school to sell more than $1,000 in tickets?

Time to share.

©Evergreen Public Schools Team Practice

©Evergreen Public Schools Debrief What are the steps for solving a story problem?

©Evergreen Public Schools Learning Target Did you hit the target? I can solve inequalities in one variable. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

©Evergreen Public Schools Practice Practice 2.2 Write and Solve Inequalities

©Evergreen Public Schools Ann earns $5.95 per hour working after school. He needs at least $215 for his holiday shopping. How many hours must he work to reach his goal? [A] at least 37 hours [B] at least 35 hours [C] at least 36 hours [D] at least 38 hours How did you make your choice?