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TODAY IN CALCULUS…  Warm Up: Factoring Polynomials  Learning Targets :  You will find the absolute values of real numbers and understand the properties.

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Presentation on theme: "TODAY IN CALCULUS…  Warm Up: Factoring Polynomials  Learning Targets :  You will find the absolute values of real numbers and understand the properties."— Presentation transcript:

1 TODAY IN CALCULUS…  Warm Up: Factoring Polynomials  Learning Targets :  You will find the absolute values of real numbers and understand the properties of absolute value.  You will find the distance between two numbers on the real number line.  You will define intervals on the real number line.  You will find the midpoint of an interval and use intervals to model and solve real-life problems.  Independent practice

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3 0.2 DISTANCE ON A REAL NUMBER LINE THREE TYPES OF DISTANCE PROBLEMS: 1.The directed distance from a to b 2.The directed distance from b to a 3.The distance between a and b EXAMPLE: Find (a) the directed distance from -3 to 4, (b) the directed distance from 4 to -3, and (c) the distance between -3 and 4.

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5 0.2 INTERVALS DEFINED BY ABSOLUTE VALUE TWO TYPES OF INEQUALITIES INVOLVING ABSOLUTE VALUE: Less th’AND’ -Graph will connect Great’OR’ -Graph will go in opposite directions

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8 EXAMPLE 2: Use absolute values to describe the given interval (or pair of intervals) on the real number line. 1. All numbers more than five units from 2. PRACTICE: y is less than h units from c

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13 HOMEWORK #2: Pg.12: 3-31odd, 35-43odd, 44, 45 If finished, work on other assignments: HW #1: Pg. 7: 5-35odd


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