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Warm-up: 9/17

Warm-up: 9/17. The ideal length of a bolt is 13.48 cm. The length can vary from the ideal by at most 0.03cm. A machinist finds one bolt that 13.67 cm long. By how much should the machinist decrease the length so the bolt can be used?. Standard: A.CED: Create equations and inequalities in one

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Warm-up: 9/17

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  1. Warm-up: 9/17 The ideal length of a bolt is 13.48 cm. The length can vary from the ideal by at most 0.03cm. A machinist finds one bolt that 13.67 cm long. By how much should the machinist decrease the length so the bolt can be used?

  2. Standard: A.CED: Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. Objective: To solve absolute value equations and inequalities Absolute value: of a number is its distance from zero on the number line and distance is nonnegative. So x = 5 and x = -5

  3. Problem 1: A machine fills Quaker Oatmeal containers with 32 ounces of oatmeal. After the containers are filled, another machine weighs them. If the container's weight differs from the desired 32 ounce weight by more than 0.5 ounces, the container is rejected. Write an equation that can be used to find the heaviest and lightest acceptable weights for the Quaker Oatmeal container. Solve the equation.

  4. Practice: Extraneous solution: is a solution of an equation derived from an original equation that is not a solution.

  5. Absolute value Inequalities: Discuss with your teams What it means for X is more than 3 units from 0 on the number Line. Which provides the same graph as x < -3 or x > 3 X is less than 3 units from 0 on the number line. Which also provides the same graph as -3 < x < 3

  6. Hint: Great”or” than So…we conclude that Is equivalent to Is equivalent to Or Hint: Less th”and”

  7. Practice with teams:

  8. Problem: Amy is thinking of two numbers a and b. The sum of the two numbers must be within 10 units of zero. If a is between -100 and 100, write a compound inequality that describes The possible values of b

  9. Closure Activity: Absolute value inequalities Give every pair of students a set of Activity 1 Cards. Explain that student pairs will play a game to match an inequality with the graph of its solution set, the statement describing its solution set, and the corresponding compound statement. Have pairs shuffle their cards and deal 8 cards each. In turn, each player places one card on the table. If there is a corresponding card already on the table, the player places his/her card on top of that card to create a stack; if not, the player starts a new stack. At the end of the game, six stacks should have been created. When a student places the fourth card on any stack, that student collects that stack. The player with the most stacks wins. Once the game becomes too repetitive with these cards, have students create their own game cards in the same manner by writing inequalities, accompanying statements describing the solution sets, accompanying graphs, and accompanying compound inequalities. Homework: pages 36-37 #1-64 every 3rd.

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