Curriculum / Math / 4th Grade / Unit 8: Shapes and Angles / Lesson 11
Math
Unit 8
4th Grade
Lesson 11 of 18
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Solve problems involving the measure of two adjacent angles.
The core standards covered in this lesson
4.MD.C.7 — Recognize angle measure as additive. When an angle is decomposed into non-overlapping parts, the angle measure of the whole is the sum of the angle measures of the parts. Solve addition and subtraction problems to find unknown angles on a diagram in real world and mathematical problems, e.g., by using an equation with a symbol for the unknown angle measure.
The foundational standards covered in this lesson
1.OA.D.8 — Determine the unknown whole number in an addition or subtraction equation relating three whole numbers. For example, determine the unknown number that makes the equation true in each of the equations 8 + ? = 11, 5 = _ – 3, 6 + 6 = _.
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
a. Take a square piece of paper and fold it along the diagonal. What is the measure of each of the angles created by the fold at each corner? What is the measure of the angle of the whole corner?
b. Take another square piece of paper and fold it so that there is a crease from one corner to another point on an opposite side that is not the diagonal corner.
Grade 4 Mathematics > Module 4 > Topic C > Lesson 10 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..
a. In the figure below, $$\angle ABC$$ measures 60°.
In the figure above, draw an angle that measures 25°. It should have the same vertex and share side $$\overrightarrow{AB}$$.
b. How many angles are there in the figure you drew in Part (a)? What are their measures?
c. Below is a copy of $$\angle ABC$$. Draw a different angle that measures 25° and has the same vertex and also shares side $$\overrightarrow{AB}$$.
d. How many angles are there in the figure you drew in Part (c)? What are their measures?
Measuring Angles, accessed on March 7, 2018, 1:52 p.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.
In the figure, $$ABCD $$ is a rectangle and $$B$$, $$E$$, and $$C$$ lie on a line.
a. $$\angle BAE=37^{\circ}$$ Find $$\angle EAD$$.
b. $$\angle BEA=53^\circ$$. Find $$\angle AEC$$.
Finding an Unknown Angle, accessed on Feb. 20, 2019, 12:40 p.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.
Problem Set
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$${\angle ADC}$$ is a right angle.
a. Which of the following equations can be used to find the measure of $$\angle ADB$$?
a. $${34+z=90}$$
b. $${z-34=90}$$
c. $${34\times z=90}$$
d. $${90\div34=z}$$
b. What is the measure, in degrees, of $${{\angle ADB}}$$?
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Lesson 10
Lesson 12
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
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.
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 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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