1. Algebra 2 Schedule: Class Announcements Homework Check/Questions 1.6 Notes Whiteboard Practice Begin Homework Day 1

2. 1.6 – Solving Linear Inequalities Objectives: 1. Graph one-variable inequalities 2. Solve simple inequalities 3. Solve compound inequalities Vocabulary: inequality, compound inequality Algebra 2

3. Graph one-variable inequalities. x = 5 x > 5 x < 5 1.6 – Solving Linear Inequalities Graph the single point on a number line. Graph the point with an open circle and shade the part of the number line that makes the inequality true. Graph the point with a colored circle and shade the part of the number line that makes the inequality true. What do open circles and colored circles signify?

4. 1.6 – Solving Linear Inequalities Graph and solve the one-variable inequalities. 2x + 6 < 12 -5x – 25 < -18 2x + 5 > 8x - 17

5. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met I want to buy a car that is fast and has a great sound system. 1.6 – Solving Linear Inequalities

6. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met I want to get a dog that is cool-looking and knows tricks. 1.6 – Solving Linear Inequalities

7. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met I want to purchase a blue or green coat. 1.6 – Solving Linear Inequalities

8. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met I want a calculator that is a TI-Nspire CX CAS and black. 1.6 – Solving Linear Inequalities

9. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met The most popular/fresh/cool/gnarly guys like math and have a best friend who is a dog. 1.6 – Solving Linear Inequalities

10. Compound inequalities – “and” and “or” and – both conditions must be met or – one or both conditions must be met I want a job that is fun to do, and pays really well. 1.6 – Solving Linear Inequalities

11. Solve & graph the one-variable compound inequalities. x > 2 and x < 6 -2x < 8 and.25x < 3 -2 < x < 5 -12 < 3x – 3 < 15 1.6 – Solving Linear Inequalities What do you notice about the shading for “and” inequalities?

12. Solve & graph the one-variable compound inequalities. x 7 -2x + 7 < 3 or 3x + 5 < 2 3x > 5 or -5x > 50 1.6 – Solving Linear Inequalities What do you notice about the shading for “or” inequalities?

13. Mr. V has to buy milk regularly because Nike leaves it out and it goes bad. Milk requires a minimum temperature of –1 °C and maximum temperature of 5 °C. Write the inequality that describes this situation. -1 < t < 5 Real-Life Example

14. #CaughtWithTheMilkOut

15. Rules for solving inequalities: Switch signs: 1._______________________________ 2._______________________________ Colored Circles (filled in): Checking: 1.6 – Solving Linear Inequalities Divide by a negative number. Multiply by a negative reciprocal. Used to include numbers when graphing ( ). Plug values back into the inequality.

16. Algebra 2 Homework: pgs. 45-46 #13-15, 19-21, 25, 37, 43 Chapter 1 Review on Friday, September 7 th Chapter 1 Test on Monday, September 10 th

17. Algebra 2 Schedule: Class Announcements Wednesday Warm-Up Homework Check/Questions Matching Game Exit Slip Begin Homework Day 2

18. Wednesday Warm-Up 12 15 16 6 5 9 3 5 8 1)What is the area of the figure below? 2)Given the parallelogram below, what is the area of the shaded region? A) 180 B) 220 C) 240 D) 260 E) 300 A) 24 B) 26 C) 32 D) 38 E) 40

19. Matching Game (Part 1  Making the Cards) Instructions (Part 1  Making the Cards): Students will work in pairs There will be two stacks of cards Inequalities Solve the inequalities on a separate sheet of paper Put your final answer at the bottom of the “inequality” card Graphs Once an inequality is solved, draw its graph on a “graph” card Alternate roles after each problem First time: you solve, your partner graphs Next time: your partner solves, you graph

20. Matching Game (Part 2  Matching the Cards) Instructions (Part 2  Matching the Cards): When you have written solutions on each “inequality” card and graphed the solution on each “graph” card, mix the two sets of cards up separately Place the cards face down on your desk Take turns trying to match the inequalities to their correct graphs The person with the most pairs of cards wins

21. Exit Slip Solve and graph each inequality. 3) On a scale 1-5, rate your understanding of this lesson. (1 = “I’m lost”, 3 = “I need practice”, 5 = “This is easy”) 1) 2)

22. Algebra 2 Homework: pgs. 45-46 #22, 23, 28, 40-42, 44 Chapter 1 Review on Friday, September 7 th Chapter 1 Test on Monday, September 10 th