Curriculum / Math / 4th Grade / Unit 8: Shapes and Angles / Lesson 12
Math
Unit 8
4th Grade
Lesson 12 of 18
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Lesson Notes
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Solve problems involving the measure of more than 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 = _.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
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Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding
25-30 minutes
Use patterns blocks of various types to create a design in which you can see a decomposition of 360°. Which shapes did you use? Write an equation to show how you composed 360°.
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Grade 4 Mathematics > Module 4 > Topic C > Lesson 11 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..
Find the measure of the missing angles in the following figures.
a.
b.
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..
15-20 minutes
Problem Set
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
$${\angle XYZ}$$ is a straight angle.
a. Write an equation that can be used to solve for the measure of $$\angle VYW$$.
b. Find the measure, in degrees, of $$\angle VYW$$.
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.
Extra Practice Problems
Help students strengthen their application and fluency skills with daily word problem practice and content-aligned fluency activities.
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Measure and sketch angles that are greater than 180°.
Topic A: Lines and Angles
Identify and draw points, lines, line segments, rays, and angles.
Standards
4.G.A.14.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.54.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 two adjacent angles.
4.MD.C.54.MD.C.64.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.14.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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