Unit: Inequalities / Approximate Class Time: 43 minutes
Lesson: Solving and graphing one & two step inequalities / Date: Tuesday October 11th, 2011
Aim: How do we solve and graph one and two step linear inequalities?
Prior Knowledge: Solving one, two and multi step linear equations, inverse properties.
Common Core Standard: A-REI. 3- Solve linear inequalities in one variable, including equations with coefficients represented by letters.
Objectives: By the end of the lesson, students should be able to:
1. Solve linear one and two step inequalities in one variable
2. Graph linear inequalities
3. Determine what greater than, less than, greater than or equal to and less than or equal to symbols represent
4. Write in interval notation
Materials: worksheets, power point, calculators,
Homework: Page 286 #’s 12-15 and Page 293 #’s 20-22
Do Now:
1. What is the value of p in the equation / Fill out the following chart(open or closed circle):means: means:
means: means:
Motivation:
Only children older than 3 years old may play with Lego?
What does that mean to you?
Development: [* In case of ppt lesson, you can refer to slide #___ during your development]
Steps of the Lesson and Key Questions / Anticipated Student Responses / Teaching NotesHave students present the do now at the white board
Go over the do now questions as a class
Present Motivation
Only children older than 3 years old may play with Lego?
What does that mean to you?
· What is an Inequality?
Let’s review the inequality symbols.
What does < represent?
Does < require an open or closed circle when graphing?
Why?
What does > represent?
Open or closed circle?
Why?
What does ≤ represent?
Open or closed circle?
Why?
What does ≥ represent?
Open or closed Circle?
Why?
As a class we will complete examples on worksheet attached then students will work on some questions individually and volunteers and non volunteers will put work on the white board. / 3 years and above
A mathematical statement in which the equal sign is replaced with <, >, ≥, ≤
Less than
Open circle
Because the number is not included
Greater than
Open circle
Because the number is not included
Less than or equal to
Closed circle
Number is included
Greater than or equal to
Closed
Number is included
What steps do we take to solve a linear inequality?
Have students “TURN AND TALK”
(Have students come up with rules then post my rules)
They should come up with similar rules that I did / 1. All the rules for solving equations apply to inequalities – plus one:
2. When an inequality is multiplied or divided by any negative number, the direction of the inequality sign changes.
Summary: How do we solve and graph linear inequalities?
Exit card activity: Students will work on exit card and hand in at the end of the period so I can assess if the students understood the lesson. The following day they will group based on the results of the exit card:
Exit card #1: Level: 3
Which value of x is in the solution set of the inequality ?1) /
2) / 2
3) / 3
4) /
/ Solve and graph: 3x - 7 2
Exit card #2: Level: 2
Which value of x is in the solution set of the inequality ?1) /
2) / 2
3) / 3
4) /
/ Solve and graph: x + 12 > 8
Name: ______Ms. Barchi, Algebra, pd ______
Date: ______
AIM: How do we solve and graph one and two step linear inequalities?
DO NOW:
2. What is the value of p in the equation / Fill out the following chart(open or closed circle):means: means:
means: means:
What is an Inequality?
How do we graph a linear inequality?
Graph the following inequalities:
1. x > 3/ 2. 8 ≥ x
3. Graph:
Solve for the indicated variable:
4. w + 5 ≤ 8/ 5. –5 > m – 3
6. -3y ≤ 15
/ STOP AND JOT: What happens when we divide an inequality by a negative number?
What steps do we take to solve a linear inequality?
Practice: Solve each inequality, graph and write your answer in interval notation:
7. -2x – 6 < 2/ 8.
9. 11 ≥ 4x + 3
/ 10. Which value of x is in the solution set of the inequality?
1) /
2) /
3) /
4) / 12
11. Which value of x is in the solution set of?
1) / 8
2) / 9
3) / 12
4) / 16