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Splash Screen

Splash Screen

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Splash Screen

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  1. Splash Screen

  2. Five-Minute Check (over Lesson 3–2) CCSS Then/Now New Vocabulary Key Concept: Slope of a Line Example 1: Find the Slope of a Line Concept Summary: Classifying Slopes Example 2: Real-World Example: Use Slope as Rate of Change Postulates: Parallel and Perpendicular Lines Example 3: Determine Line Relationships Example 4: Use Slope to Graph a Line Lesson Menu

  3. In the figure, m4 = 146. Find the measure of 2. A. 24 B. 34 C. 146 D. 156 5-Minute Check 1

  4. In the figure, m4 = 146. Find the measure of 7. A. 24 B. 34 C. 146 D. 156 5-Minute Check 2

  5. In the figure, m4 = 146. Find the measure of 10. A. 160 B. 146 C. 56 D. 34 5-Minute Check 3

  6. In the figure, m4 = 146. Find the measure of 11. A. 180 B. 160 C. 52 D. 34 5-Minute Check 4

  7. Find m11 + m6. A. 180 B. 146 C. 68 D. 34 5-Minute Check 5

  8. In the map shown, 5th Street and 7th Street are parallel. At what acute angle do Strait Street and Oak Avenue meet? A. 76 B. 75 C. 53 D. 52 5-Minute Check 6

  9. Content Standards G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). Mathematical Practices 4 Model with mathematics. 7 Look for and make use of structure. 8 Look for and express regularity in repeated reasoning. CCSS

  10. You used the properties of parallel lines to determine congruent angles. • Find slopes of lines. • Use slope to identify parallel and perpendicular lines. Then/Now

  11. slope • rate of change Vocabulary

  12. Concept

  13. A.Find the slope of the line. Find the Slope of a Line Substitute (–3, 7) for (x1, y1) and (–1, –1) for (x2, y2). Example 1

  14. B. Find the slope of the line. Find the Slope of a Line Substitute (0, 4) for (x1, y1) and (0, –3) for (x2, y2). Example 1

  15. C. Find the slope of the line. Find the Slope of a Line Substitute (–2, –5) for (x1, y1) and (6, 2) for (x2, y2). Example 1

  16. D. Find the slope of the line. Find the Slope of a Line Substitute (–2, –1) for (x1, y1) and (6, –1) for (x2, y2). Example 1

  17. A. B. C. D. A. Find the slope of the line. Example 1a

  18. A.0 B.undefined C.7 D. B. Find the slope of the line. Example 1b

  19. A. B. C. –2 D.2 C. Find the slope of the line. Example 1c

  20. A.0 B.undefined C.3 D. D. Find the slope of the line. Example 1d

  21. Concept

  22. RECREATION In 2000, the annual sales for one manufacturer of camping equipment was $48.9 million. In 2005, the annual sales were $85.9 million. If sales increase at the same rate, what will be the total sales in 2015? Use Slope as Rate of Change Example 2

  23. CELLULAR TELEPHONES Between 1994 and 2000, the number of cellular telephone subscribers increased by an average rate of 14.2 million per year. In 2000, the total subscribers were 109.5 million. If the number of subscribers increases at the same rate, how many subscribers will there be in 2010? A. about 251.5 million B. about 166.3 million C. about 180.5 million D. about 194.7 million Example 2

  24. Concept

  25. Determine whether and are parallel,perpendicular, or neither for F(1, –3), G(–2, –1), H(5, 0), and J(6, 3). Graph each line to verify your answer. Determine Line Relationships Example 3

  26. Determine whether AB and CD are parallel,perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2) A. parallel B. perpendicular C. neither Example 3

  27. Graph the line that contains Q(5, 1) and is parallel to MN with M(–2, 4) and N(2, 1). Use Slope to Graph a Line Example 4

  28. Graph the line that contains R(2, –1) and is parallelto OP with O(1, 6) and P(–3, 1). A. B. C.D. none of these Example 4

  29. Assignment: • 192/ 1-25,28-39,41-50,58-68,71-74