Curriculum  /  Math  /  4th Grade  /  Unit 8: Shapes and Angles  /  Lesson 17

Shapes and Angles

Lesson 17

Math

Unit 8

4th Grade

Lesson 17 of 18

Objective

Draw quadrilaterals from given criteria.

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.
  • 4.G.A.2 — Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

Foundational Standards

  • 3.G.A.1

Criteria for Success

  1. Draw quadrilaterals using a protractor and ruler on grid paper (MP.1, MP.2, MP.5, MP.6).
  2. Draw quadrilaterals using a protractor and ruler on blank paper (MP.1, MP.2, MP.5, MP.6).
  3. Analyze statements regarding the classification of quadrilaterals (e.g., a square is always a rectangle but a rectangle isn’t always a square) (optional) (MP.3).

Tips for Teachers

Lesson Materials

  • Ruler (1 per student) — This can be any tool used to verify equal lengths, e.g., the edge of a piece of paper, etc.
  • 180° Protractor (1 per student)
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Anchor Tasks

25-30 minutes

Problem 1

Draw four points on the grid below so that when connected they form a quadrilateral. Use your straightedge to connect the four points to form a quadrilateral.

a.   How can you classify your quadrilateral?

b.   What attributes does your quadrilateral have that led you to that classification?

c.   What tools did you use to help draw your quadrilateral and classify it?

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 16 — Concept Development Problem 3

Grade 4 Mathematics > Module 4 > Topic D > Lesson 16 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 2

Draw an example of each of the following shapes or explain why it’s not possible to draw one.

a.   Quadrilateral with just one pair of parallel sides

b.   Quadrilateral with four equal sides

c.   Quadrilateral with 3 obtuse angles

Guiding Questions

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Student Response

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References

EngageNY Mathematics Grade 4 Mathematics > Module 4 > Topic D > Lesson 15 — Concept Development

Grade 4 Mathematics > Module 4 > Topic D > Lesson 15 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

  • Did anyone draw the same figure for #1(b) and #1(c)? Why is that possible? What about with #1(c) and #1(d)? 
  • What shape did you draw in #2(b)? How is it possible for that shape to be a parallelogram, rectangle, and rhombus all at the same time? 
  • What figure did you draw in #3(a)? Why are there so many different shapes that can be drawn?
  • How did the grid lines in #3(b) help you to draw the right angles?
  • How are the attributes of a rhombus and a rectangle similar? What two attributes distinguish a rhombus from a rectangle in #4?

Target Task

5-10 minutes

Problem 1

Draw a trapezoid that has no right angles on the following grid. 

Student Response

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Problem 2

Draw a shape that has four right angles and four equal sides on the following grid.

Student Response

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Problem 3

What is the mathematical name for the shape you drew in Problem 2? Be as specific as possible. 

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 lines of symmetry in two-dimensional figures.

Lesson 18
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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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