Chapter 7 Inequalities

1. Chapter 7Inequalities

2. Day….. • CRA s All Day • Writing Inequalities • Solving One-Step Inequalities (+ and - ) • Solving One-Step Inequalities (x and ÷ ) • No School

3. Day 1

4. Bell Work Justify your Response

5. Vocabulary • A mathematical sentence indicating two quantities are not equal. Inequality - • The distance between a number and 0 on a number line. Absolute Value- Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0. Positive Integer- Negative Integer - Any number less than 0. They are written with a – sign and appear to the left or below 0 Any number that can be written as a fraction. Rational Number - Aline on which numbers are marked at intervals, used to illustrate simple numerical operations. Number Line - • Variable - A letter or symbol used to represent an unknown number.

6. I Can…. Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.

7. Interpreting and Writing Inequalities Essential Understanding: An inequality is a mathematical sentence that compares quantities using the symbols >, <, ≥, and ≤. Example:

8. Group Work Please take out your maker boards

9. Wrap it Up • Review • Questions • Exit Tickets

10. Day 2

11. Bell Work Justify your response.

12. Homework Check

13. Vocabulary • A mathematical sentence indicating two quantities are not equal. Inequality - • _________ • ___________ • ___________ • ____________ • _____________ • ___________ • ___________ Absolute Value- • The distance between a number and 0 on a number line. Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0. Positive Integer- Negative Integer- • Any number less than 0. They are written with a – sign and appear to the left or below 0. a number that can be written as a fraction Rational Number - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. Number Line -

14. I Can…. Write inequalities for a given number line representation.

15. Writing and Graphing Inequalities Essential Understanding: • Inequalities can be graphed on a number line using an open or a closed dot and a ray ( ) • An open dot means the number is not included (used with < and > symbols) • A closed dot means the number is included (used with ≤ and ≥) • The direction of the ray or shaded area indicates the solution set _________________ -3 -2 -1 0 1 2 3 x > -1

16. Watch This • http://learnzillion.com/lessons/1507-write-inequalities-given-a-number-line-representation ( 3 mins)

17. Group Work Please take out your maker boards

18. Wrap it Up • Review • Questions • Exit Tickets

19. Day 3

20. Bell Work Justify Your Response

21. Homework Check

22. Vocabulary • A mathematical sentence indicating two quantities are not equal. Inequality - • _________ • ___________ • ___________ • ____________ • _____________ • ___________ • ___________ Absolute Value- • The distance between a number and 0 on a number line. Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0. Positive Integer- Negative Integer- • Any number less than 0. They are written with a – sign and appear to the left or below 0. a number that can be written as a fraction Rational Number - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. Number Line -

23. I Can…. Solve one-step inequalities involving addition and subtraction

24. Solving One-Step Inequalities Essential Understanding: Addition and subtraction and multiplication and division properties can be used to solve inequalities. • If the same number is added or subtracted from each side of an inequality, the inequality remains true. • If the same positive number is multiplied or divided from each side of an inequality, the inequality remains true. Examples: 3 < 6 3 < 6 x > 6 x > 6

25. Solving Inequalities Essential Understanding: Inequalities can be solved by finding values for the variable that make the inequality true. Examples: X +2 < 8 = x < 6 8-2 = 6 or 6 + 2 = 8 X must be a number less than 6 to make this sentence true. Therefore, any number less than 6 (5,4,3,2,1,0,-1,-2, etc… would make the sentence true So…… x < 6 or x ≤ 5

26. Your Turn…. • Clear your desk of everything but a calculator and a pencil.

27. Wrap it Up • Review • Questions • Exit Tickets

28. Day 4

29. pOp Quiz • Take out a pencil and a calculator • Clear everything else from your desk

30. Homework Check

31. Vocabulary • A mathematical sentence indicating two quantities are not equal. Inequality - • _________ • ___________ • ___________ • ____________ • _____________ • ___________ • ___________ Absolute Value- • The distance between a number and 0 on a number line. Any number greater than 0. They can be written with or without the + sign and appear to the right or above the 0. Positive Integer- Negative Integer- • Any number less than 0. They are written with a – sign and appear to the left or below 0. a number that can be written as a fraction Rational Number - a line on which numbers are marked at intervals, used to illustrate simple numerical operations. Number Line -

32. I Can…. Solve one-step inequalities involving multiplication and division.

33. Solving One-Step Inequalities Essential Understanding: Inequalities can be solved by finding values for the variable that make the inequality true. Examples: 2x < 16 = x < 8 16 ÷ 2 = 8 or 8 x 2 = 16 X must be a number less than 8 to make this sentence true. Therefore, any number less than 8 (7.2, 8, 9 ½, 44, etc… ) would make the sentence true . So…… x < 8 or x ≤ 7

34. Practice Please take out your maker boards

35. Wrap it Up • Review • Questions • Exit Tickets

36. Day 5

37. Enjoy your Fall Break No School 

38. Not Used this Week

39. Computer Station • www.learnzillion.com (6 minutes per video) • www.tenmarks.com (10 questions per assignment)

40. Station Rotations • Write your exit ticket. • Pack up everything but a pencil. • You will have 15 minutes to complete each rotation

41. 1st Rotation

42. 2nd Rotation

43. 3rd Rotation

44. 4th Rotation

45. Group Work Before we begin……. • Complete an exit ticket. • Pack up everything except for your pencil and calculator. • Sit quietly unit everyone is ready.