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Understanding Parallel and Perpendicular Lines: Lesson Overview

Today in class, we will explore the concepts of parallel and perpendicular lines. You’ll need a pencil, calculator, and notebook. Please ensure you have the Unit 4 standards glued in your notebook. We will work on identifying whether given lines are parallel, perpendicular, or neither through guided practice and real-world examples. We will also review writing linear equations in slope-intercept and point-slope forms. Expect to engage with your classmates and deepen your understanding of these key mathematical principles!

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Understanding Parallel and Perpendicular Lines: Lesson Overview

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  1. 4th period seating chart Front of the Room • Today you will need: • Pencil • Calculator • Notebook • Unit 4 Standards • Supply Box Chris Pack Jordan Brock Faith Q. Cheyenne M. Jacob Kile Jordan Losik Jacob Garrett Colton Hasting Justin Rose Andrew Fiedler Paige Moore Lyndon Steele Sarah Cheshire Brooke Leslie Dylan beyer Sabrina Abell Demarco Broadus Aurora Kara Greenwell Sierra Hughes Rick Vittitow Nick Cottrell Paige Moore Josh Butcher Brooke Leslie Paige Moore Jessica Buxton Shaylee Frankin Hannah Campbell Kenzee Jarboe Lorna Stillwell Carl Beatrizola Jon Lozowicki Karen Carey Clayton Blakenship Kaitlin Baker

  2. 5th period seating chart Front of the Room • Today you will need: • Pencil • Calculator • Notebook • Unit 4 Standards • Supply Box Morgan Gravel Wesley Patterson Cameron Grimes John Singleton Tia Nandram Haley Okeefe Heaven Walls Haley Tesseneer Jeff Merideth Drayden OBryant Paige Moore Lyndon Steele Colton Carney David Carey Dylan beyer Toby Hall Brandon Cisneros Brandon Murphy Cody Davis Meredith Hughes Zeke Thompson Andrew Haley Paige Moore Emalee Close Kayla O Paige Moore Blaine Spaulding Sabrina Traylor Lauren Shufeldt Jordan Mahaffey Dairess Goff Jax Lester Louie Maupin Austin Q Adam Bolin Duncan Strong

  3. Glue Unit 4 Standards in Notebook • Please, get out your notebook and glue Unit 4 Standards in and check off the standards you got correct on your test. • Unit 4 Standard 3 L110. Unit 4 Standard 6 L1 • Unit 4 Standard 3 L211. Unit 4 Standard 6 L2 • Unit 4 Standard 3 L312. Unit 4 Standard 6 L3 • Unit 4 Standard 4 L113. Unit 4 Standard 7 L1 • Unit 4 Standard 4 L214. Unit 4 Standard 7 L2 • Unit 4 Standard 4 L315. Unit 4 Standard 7 L3 • Unit 4 Standard 5 L1 • Unit 4 Standard 5 L2 • Unit 4 Standard 5 L3

  4. Date Page # Parallel and Perpendicular Lines Day 1 Learning Target: I can determine if two lines are parallel, perpendicular or neither.

  5. Flashback: Write a linear equation in slope-intercept form with the given slope and a point. m = 3 and (3,2). Write a linear equation in point-slope form with the given slope and a point. m = 3 and (3,2). Rewrite the equation in standard form.

  6. Two lines that lie in a plane and never intersect are parallel lines. If two lines are parallel, their slopes are equal, but their y-intercepts are different.

  7. Perpendicular lineslie in the same plane and intersect to form four right angles. The slopes of perpendicular lines are opposite reciprocals. Write the opposite reciprocals for the following numbers. -3 -1

  8. Example 1: Determine whether the lines are parallel, perpendicular or neither. Line 1: y = 2x + 7 Line 2: y = 2x – 8

  9. Example 2: Determine whether the lines are parallel, perpendicular or neither. Line 1: y – 5 = -3(x + 2) Line 2: y + 2 = (x – 8)

  10. Example 3: Determine whether the lines are parallel, perpendicular or neither. Line 1: 3x – y = 25 Line 2: y = -3x + 12

  11. Example 4: Determine whether the lines are parallel, perpendicular, or neither. Line 1: x + 2y = -8 Line 2: 2x + 4y = -4

  12. Example 5: Determine whether the lines are parallel, perpendicular or neither. Line 1: (4, -6), (3, -8) Line 2: (-3, 4), (2, -6)

  13. Guided Practice: Determine which sets of lines are parallel, perpendicular, or neither. 1. Line 1: y = -3x + 5 2. Line 1: 4x – 2y = -16 Line 2: 6x + 2y = 24 Line 2: 3x + 6y = 24 3. Line 1: (-8, 3), (-5, -6) 4. Line 1: y = -6 Line 2: (7, 8), (5, -2) Line 2: x = 4

  14. Guided Practice: Determine which sets of lines are parallel, perpendicular, or neither. 1. Line 1: y = -3x + 5 2. Line 1: 4x – 2y = -16 Line 2: 6x + 2y = 24 Line 2: 3x + 6y = 24 3. Line 1: (-8, 3), (-5, -6) 4. Line 1: y = -6 Line 2: (7, 8), (5, -2) Line 2: x = 4 Parallel Perpendicular Neither Perpendicular

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