Curriculum  /  Math  /  4th Grade  /  Unit 8: Shapes and Angles  /  Lesson 3

Shapes and Angles

Lesson 3

Math

Unit 8

4th Grade

Lesson 3 of 18

Objective

Identify and draw perpendicular lines.

Common Core Standards

Core Standards

  • 4.G.A.1 — Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

Foundational Standards

  • 3.G.A.1

Criteria for Success

  1. Understand that intersecting lines are lines that have a point in common (i.e., lines that cross).
  2. Understand that perpendicular lines are lines that intersect to form right angles.
  3. Determine whether two lines are perpendicular by using the student-created right-angle tool.
  4. Draw perpendicular lines using a straightedge and the right-angle tool (MP.5, MP.6).
  5. Use correct notation to denote perpendicular lines, e.g., $$\overline{AB}\perp\overline{CD}$$ and draw right angle symbols in a figure.

Tips for Teachers

Lesson Materials

  • Right-angle tool (1 per student) — These were constructed in Lesson 2 using blank pieces of paper
  • Ruler (1 per student) — This can be any tool used to draw a straight line, e.g., a straightedge, a ruler, etc.
  • Template: Shapes (1 per student or small group) — See Anchor Task 1 for how to prepare this material before the lesson
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Anchor Tasks

25-30 minutes

Problem 1

Sort the shapes (cut out from Template: Shapes) into groups. You may sort them any way you want and into as many groups as you want.

Guiding Questions

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Student Response

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Problem 2

Identify perpendicular lines around the classroom and use the right-angle tool to verify.

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic A > Lesson 3 — Concept Development Problem 2

Grade 4 Mathematics > Module 4 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem 3

Using your right-angle tool and a straightedge, draw perpendicular line segments. 

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic A > Lesson 3 — Concept Development, Problem #4

Grade 4 Mathematics > Module 4 > Topic A > Lesson 3 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..

Modified by Fishtank Learning, Inc.

Problem Set

15-20 minutes

Discussion of Problem Set

  • How did your knowledge of right angles prepare you to identify perpendicular lines in the figures for #1? 
  • Look at #2. How can you tell if two lines are perpendicular? 
  • In #4, which figures had no perpendicular lines? Explain.
  • In #6, I only located eight right angles (on the interior of the figure). How many more right angles are there? What did this problem show you about locating angles on figures?
  • How are perpendicular lines related to right angles? Acute angles? Obtuse angles?
  • How might you use your understanding of perpendicular lines to solve a problem in real life? How might you use perpendicular lines when building something, for example?
  • As you search for lines in your environment, notice if you find perpendicular or intersecting lines in nature. Analyze upright perpendicular lines, diagonal perpendicular lines, and intersecting lines as used by human beings.

Target Task

5-10 minutes

Problem 1

Which line segment is perpendicular to $$\overline{AB}$$ in the figure below?

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Student Response

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Problem 2

Fill in the blank below to make the statement true.

$$\overline{YX} \perp$$ _____

Student Response

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Additional Practice

The Extra Practice Problems can be used as additional practice for homework, during an intervention block, etc. Daily Word Problems and Fluency Activities are aligned to the content of the unit but not necessarily to the lesson objective, therefore feel free to use them anytime during your school day.

Word Problems and Fluency Activities

Word Problems and Fluency Activities

Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.

Next

Identify and draw parallel lines.

Lesson 4
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Lesson Map

A7CB09C2-D12F-4F55-80DB-37298FF0A765

Topic A: Lines and Angles

Topic B: Measures of Angles

Topic C: Measures of Adjacent Angles

Topic D: Shapes and Lines of Symmetry

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