Curriculum / Math / 4th Grade / Unit 8: Shapes and Angles / Lesson 6
Math
Unit 8
4th Grade
Lesson 6 of 18
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Understand that an angle that turns through $${{1\over360}}$$ of a circle is called a “one-degree angle” and can be used to measure angles. Use a makeshift protractor to measure benchmark angles.
The core standards covered in this lesson
4.MD.C.5 — Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
4.MD.C.6 — Measure angles in whole-number degrees using a protractor. Sketch angles of specified measure.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. What is the measure, in wedges, of the following angle?
b. A ray that turns all the way around its endpoint and back to its starting place has made a full turn. We say that the ray has turned 360 degrees, often written 360°.
How many degrees has the ray turned from where it started?
Grade 4 Unit 7 Lesson 8 Activity 1, accessed on Oct. 13, 2023, 3:24 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
a. Determine how many degrees the wedge created in Lesson 5 measures, and use that to create a makeshift protractor to measure benchmark angles.
b. Use a similar process to create a makeshift protractor that measures in increments of 45°.
Using the makeshift protractors you made in Anchor Task #2, find the measure, in degrees, of each of the following angles. If an angle can’t be measured precisely with either protractor, make an estimate.
a.
b.
c.
d.
Problem Set
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A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
What fraction of a complete turn through a circle is 1°?
What is the measure, in degrees, of a right angle?
List the measurements, in degrees, of three benchmark angles.
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Lesson 5
Lesson 7
Topic A: Lines and Angles
Identify and draw points, lines, line segments, rays, and angles.
4.G.A.1 4.MD.C.5
Identify and draw right, obtuse, and acute angles.
4.G.A.1
Identify and draw perpendicular lines.
Identify and draw parallel lines.
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Topic B: Measures of Angles
Use iteration with one physical nonstandard unit to measure benchmark angles.
4.MD.C.5 4.MD.C.6
Measure angles that are less than 180° using a 180° protractor. Distinguish angle measure from other attributes.
Sketch angles of specified measure using a 180° protractor.
Identify and measure angles as turns and recognize them in various contexts.
Topic C: Measures of Adjacent Angles
Decompose angles using pattern blocks.
4.MD.C.7
Solve problems involving the measure of two adjacent angles.
Solve problems involving the measure of more than two adjacent angles.
Measure and sketch angles that are greater than 180°.
4.MD.C.5 4.MD.C.6 4.MD.C.7
Topic D: Shapes and Lines of Symmetry
Analyze and classify triangles based on side length, angle measure, or both.
4.G.A.1 4.G.A.2
Draw triangles from given criteria.
Analyze and classify quadrilaterals based on parallel and perpendicular lines and the presence or absence of angles of a specified size.
Draw quadrilaterals from given criteria.
Identify and draw lines of symmetry in two-dimensional figures.
4.G.A.3
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