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Explore how to find the length of horizontal line segments as the difference of x-coordinates through ordered pair plotting and guided practice in this geometry lesson for 4th grade.
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Learning ObjectiveName ____________________ Today, we will find the length1 of a horizontal line segment. 1 how long something is CFU What are we going to do today? What does length mean? Activate (or provide) Prior Knowledge y y y x x x Ordered Pair Plot the following ordered pairs: • (3, 6) • (7, 6) • (2, 1) • (8, 1) A B Draw a line from A to B. Draw a line from C to D. D C CFU Teacher plots points A and C; students plot points B and D. Students, you already know how to plot points on graph paper. Today, we will find the length of line segments like those we’ve drawn above. 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Concept Development Example: Non-example: Arrows mean the line keeps going. Horizontal Line Segment: Not Horizontal Line Segments: B D A C A line segment is a line that has two endpoints (●). • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. Example: Length of horizontal line segment. CFU Which of the following is a horizontal line segment? How do you know? Why are the others not horizontal line segments? 4 (3, 4) (8, 4) 3 C B A 2 2 1 3 2 Which horizontal line segment length can be found using 6 – 2? How do you know? (4, 2) (1, 2) 1 4 – 1=3 2 6 9 10 0 3 4 5 1 7 8 11 “The length of the horizontal line segment AB is ___ unit(s).” 3 B A 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Concept Clarification and CFU D B C A Example: Length of horizontal line segment. Which subtraction problem would you use to find the length of line segment CD? a.3 – 4 b.3 – 8 c.4 – 4d.8 – 3 4 (3, 4) (8, 4) 3 2 2 1 3 2 (3, 2) (4, 2) (2, 2) (1, 2) 1 4 – 1=3 2 – 1=1 3 – 1=2 2 6 9 10 0 3 4 5 1 7 8 11 3 1 2 “The length of the horizontal line segment AB is ___ unit(s).” 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Skill Development/Guided Practice Find the length of a horizontal line segment. y y x x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. Coordinate Pair Coordinate Pair Ordered Pair y y y y y y x x x x x x CFU (#1) How did I/you identify the x-coordinate in each ordered pair? (#2) How did I/you find the length of the horizontal line segment? (#3) How did I/you interpret the solution? 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Importance 1. Finding the length of a horizontal line segment can help you solve geometry problems. 2. Finding the length of a horizontal line segment will help you do well on tests. What is the perimeter of the rectangle with corners:(2, 3), (8, 3), (8, 7), (2, 7) 4 units ? units 6 • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. Coordinate Pair Coordinate Pair Ordered Pair y y y y y y x x x x x x CFU Does anyone else have another reason why it is important to find the length of a horizontal line segment? (pair-share) Why is it important to find the length of a horizontal line segment? You may give me one of my reasons or one of your own. Which reason is more important to you? Why? 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Ordered Pair y y y y y y x x x x x x A B C y x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. Concept Closure Kai is trying to find the lengths of the line segments on the right. Which length could be found by computing the difference of the x-coordinates? How do you know? __________________________________________________________ Skill Closure Find the length of a horizontal line segment. Summary Closure What did you learn today about finding the length of a horizontal line segment? Day 1 ___________________________________________________________________________________ Day 2 ___________________________________________________________________________________ 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Independent Practice Name _________________________ Find the length of a horizontal line segment. Ordered Pair y x y x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. y x 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Periodic Review 1 Name _________________________ Find the length of a horizontal line segment. Ordered Pair y x y y x x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Periodic Review 2 Name _________________________ Find the length of a horizontal line segment. Ordered Pair y x y y x x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.
Periodic Review 3 Name _________________________ Find the length of a horizontal line segment. Ordered Pair y x y y x x • A horizontal line segment is a line segment that is flat from left to right. • The length of a horizontal line segment equals the difference of the x-coordinates. 4th Grade Measurement & Geometry 2.2 (2Q) Understand that the length of a horizontal line segment equals the difference of the x-coordinates. Lesson to be used by EDI-trained teachers only.