Lesson Plan: Solutions to Inequalities with Two Variables
AA Math
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Description
This is a comprehensive coverage of Inequalities in two variables. The lesson can be used as a ready hand out, or its content can be copied and pasted if you are developing your own lesson plan.
Objectives:
Students will constitute the concept of inequality in two variables based on the notion of equation in two variables.
Students will discover how and when the relationship between two variables resumes an inequality form instead of an equation form.
Students recognize and identify solutions to two-variable inequalities. They learn to solve inequalities in two variables algebraically and graphically.
Topics in the lesson includes:
Lesson Notes
Classwork
Basic Difference between an Equation and an Inequality
In-Class Practice
Solving Two-Variable Inequalities A
Difference between Solving Methods of Equations and Inequalities
Hand out the following page to students and have them work the problems independently.
Solving Two-Variable Inequalities Algebraically
Guided Instruction
Graphing Manually
Graphing by a Scientific Calculator
Guided Instruction
Reaching All Learners
Avoid Common Misconceptions and Errors.
Exit Tick
In-Class Practice
Students learn how the graph of an equation in two variables (a line) differs from the graph of an inequality in two variables (a region).
They use point test to identify the solution region of any inequality.
Students learn how to translate the real life scenarios to algebraic inequalities and solve them.
Objectives:
Students will constitute the concept of inequality in two variables based on the notion of equation in two variables.
Students will discover how and when the relationship between two variables resumes an inequality form instead of an equation form.
Students recognize and identify solutions to two-variable inequalities. They learn to solve inequalities in two variables algebraically and graphically.
Topics in the lesson includes:
Lesson Notes
Classwork
Basic Difference between an Equation and an Inequality
In-Class Practice
Solving Two-Variable Inequalities A
Difference between Solving Methods of Equations and Inequalities
Hand out the following page to students and have them work the problems independently.
Solving Two-Variable Inequalities Algebraically
Guided Instruction
Graphing Manually
Graphing by a Scientific Calculator
Guided Instruction
Reaching All Learners
Avoid Common Misconceptions and Errors.
Exit Tick
In-Class Practice
Students learn how the graph of an equation in two variables (a line) differs from the graph of an inequality in two variables (a region).
They use point test to identify the solution region of any inequality.
Students learn how to translate the real life scenarios to algebraic inequalities and solve them.
Total Pages
12 pages
Answer Key
N/A
Teaching Duration
90 minutes
Last updated Aug 21st, 2018
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Standards
to see state-specific standards (only available in the US).
CCSS7.EE.B.4b
Solve word problems leading to inequalities of the form ๐ฑ๐น + ๐ฒ > ๐ณ or ๐ฑ๐น + ๐ฒ < ๐ณ, where ๐ฑ, ๐ฒ, and ๐ณ are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
CCSSHSA-REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
CCSSHSA-REI.A.2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
CCSSHSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
CCSSHSA-REI.B.4
Solve quadratic equations in one variable.
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