my homework lesson 5 measure angles answers

Curriculum  /  Math  /  4th Grade  /  Unit 8: Shapes and Angles  /  Lesson 5

Shapes and Angles

Lesson 5 of 18

Criteria for Success

Tips for teachers, anchor tasks.

Problem Set

Target Task

Additional practice.

Use iteration with one physical nonstandard unit to measure benchmark angles.

Common Core Standards

Core standards.

The core standards covered in this lesson

Measurement and Data

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.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

• Directly compare the size of two angles.
• Understand angle measure as the spread of an angle’s rays.
• Use the understanding that the size of an angle is determined by how far apart its rays are spread to create a nonstandard unit, a wedge, to measure them (MP.7).
• Measure angles with a nonstandard unit (a “wedge”) by iterating a single unit with no gaps or overlaps.

Suggestions for teachers to help them teach this lesson

• For the paper circles, you can use parchment paper baking circles. They are easy to find online or at restaurant supply stores in large quantities. 
• Students will create a wedge tool using a paper circle in this lesson. Have students save this tool for future lessons.
• Make sure students hold on to Problem Sets for the next day, since they will come back to them in Lesson 6.
• For the Extra Practice Problems, students will need their wedges to measure angles. 
• John A. Van de Walle notes, "angle measurement can be a challenge for two reasons: the attribute of angle size is often misunderstood, and protractors are commonly introduced and used without understanding how they work" ( Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 3-5 (Volume II). Pearson, 2nd edition, 2013. Page 335). Thus, this lesson serves to help students understand angle measure as the spread of an angle’s rays, which can be measured with smaller angles.

Lesson Materials

• Paper circle (1 per student)
• Optional : Template: Angle Comparison (1 per student) — See Anchor Task 1 for more information.

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Tasks designed to teach criteria for success of the lesson, and guidance to help draw out student understanding

25-30 minutes

Which angle is larger, $$\angle A$$  or  $$\angle B$$ ? How do you know?

Guiding Questions

a.   Fold a circular piece of paper in half, then in half again. How big is the angle that you created?

b.   How could you create a smaller angle to use as a unit to measure angle size?

c.   Make more folds in your paper circle so that it each part is 1 twelfth of a whole circle.

d.   We will call the angle measure unit you created inn Part (c) a “wedge”. Measure the angles in Anchor Task #1 in wedges.

15-20 minutes

Unlock the answer keys for this lesson's problem set and extra practice problems to save time and support student learning.

Discussion of Problem Set

• If someone asked you to define what an angle is, what would you say? If someone asked you how they could measure one, what would you say?
• Look at #2(e). What made this difficult to measure? What did you get? 
• Look at #2(f). What made this difficult to measure? What did you get? 
• Look at #4. If you used an even smaller wedge, would it give you a more or less accurate way to measure the size of an angle?

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

5-10 minutes

Use your wedge to measure the angles below.

Student Response

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

Answer keys for Problem Sets and Extra Practice Problems are available with a Fishtank Plus subscription.

Word Problems and Fluency Activities

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

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. 

Identify and draw perpendicular lines.

Identify and draw parallel lines.

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Topic B: Measures of 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.

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. 

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Angle Worksheets: Add Insight to Your Preparation

This far-from-exhaustive list of angle worksheets is pivotal in math curriculum. Whether it is basic concepts like naming angles, identifying the parts of an angle, classifying angles, measuring angles using a protractor, or be it advanced like complementary and supplementary angles, angles formed between intersecting lines, or angles formed in 2D shapes we have them all covered for students in grade 4 through high school. Application seals concepts in the minds of children, and hence adding a little challenge into the routine in the form of free worksheets is definitely not a bad idea.

List of Angle Worksheets

Parts of an Angle

Naming Angles

Acute, Right, and Obtuse Angles

Classifying Angles

Reading Protractors

Measuring Angles

Drawing Angles

Estimating Angles

Angles on a Straight Line

Angles Around a Point

• Complementary & Supplementary Angles

Adjacent Angles

Vertical Angles

Linear Pairs of Angles

Pairs of Angles

Angles Formed by a Transversal

Angles in Shapes

Explore the angle worksheets in detail.

How about some practice in identifying the vertex and arms of an angle? Get ahead of the pack with these parts of an angle pdfs and practice identifying and naming the vertex and arms of an angle.

Are you aware of the four ways of naming angles? Buckle up with these printable worksheets, and watch how accurately and effortlessly children name angles using the three points.

Spark interest and encourage children to identify acute, right, and obtuse angles with a bunch of fun-filled exercises like recognizing angles in a clock, angle types in real-life objects, and a lot more!

Become twice as conversant with identifying, classifying, and drawing all six types of angles: acute, right, obtuse, straight, reflex, and complete angles with this collection of pdfs.

Use the protractor tool like a pro to measure and draw angles. Printable protractor templates, a chart illustrating the parts and use of the tool, and protractor reading exercises await students in elementary school.

Reading the correct scale of the protractor to measure angles: the inner or outer scale, measuring and classifying angles, and solving linear equations are the skills grade 4 and grade 5 students acquire with these exercises.

Show your students how to construct angles using a protractor with these drawing angle pdfs. The exercises include constructing angles with 1° increments or 5°, drawing reflex angles, and more.

Expert-level skills aren’t built in a day, to acquire superior skills in estimating angles 4th grade and 5th grade children need to bolster practice with our printable estimating angles worksheets.

Work your way through this compilation of worksheets and examine the angles on a straight line that add up to 180°. Grade 4 and grade 5 students find the measures of the unknown angles by subtracting the given angles from 180°.

Did you know that the angles around a point add up to 360°? Keep this fact in mind as you figure out the measures of the unknown angles by adding the given angles and subtracting the sum from 360°.

Complementary and Supplementary Angles

If it's a pair of angles you see and are trying to figure out if they make a complementary or supplementary pair, the trick is just adding them up and if their sum is 90° they are complementary and if it is 180° they are supplementary. These worksheets are a sure-shot hit with 6th grade and 7th grade learners.

Explore this bunch of printable adjacent angles worksheets to get a vivid picture of the angle addition property exhibited by angles that share the same vertex and are next to each other.

Linked here are exercises on angles formed by intersecting lines! Know the congruent properties of vertical angles or vertically opposite angles and apply them to determine unknown angle measures.

Two angles that are both adjacent and supplementary are a linear pair. The measure of such a pair sum up to 180°. Get to the heart of such angle pairs with these pdf worksheets and solve equations for the unknown angle measures.

Tap your grade 7, and grade 8 student’s potential in identifying the different pairs of angles such as complementary and supplementary angles, linear pair, vertical angles and much more with our engaging set of worksheets.

Construct additional and experiential knowledge with these 8th grade and high school handouts to comprehend the seven types of angle pairs formed by a transversal that include corresponding angles, alternate angles, and consecutive angles.

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Measure and classify angles

Angle measurement and classification worksheets.

Students measure angles with a protractor and classify them as acute, obtuse and right angle. All worksheets are printable pdf files.

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Fifth Grade Angles

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Praxis Core Math

Course: praxis core math   >   unit 1.

• Properties of shapes | Lesson
• Properties of shapes | Worked example

Angles | Lesson

• Angles | Worked example
• Congruence and similarity | Lesson
• Congruence and similarity | Worked example
• Circles | Lesson
• Circles | Worked example
• Perimeter, area, and volume | Lesson
• Perimeter, area, and volume | Worked example

What are angles?

What skills are tested.

• Recognizing supplementary and vertical angles
• Recognizing identical angles formed by two parallel lines and a transversal
• Calculating angle measures using our knowledge of angle relationships
• Calculating the measures of interior angles of polygons

What are supplementary and vertical angles?

How are angles formed by parallel lines and transversals related, how are the interior angles of polygons related.

• Your answer should be
• an integer, like 6 ‍  
• a simplified proper fraction, like 3 / 5 ‍  
• a simplified improper fraction, like 7 / 4 ‍  
• a mixed number, like 1   3 / 4 ‍  
• an exact decimal, like 0.75 ‍  
• a multiple of pi, like 12   pi ‍   or 2 / 3   pi ‍  
• (Choice A)   30 ‍   A 30 ‍  
• (Choice B)   45 ‍   B 45 ‍  
• (Choice C)   75 ‍   C 75 ‍  
• (Choice D)   90 ‍   D 90 ‍  
• (Choice E)   105 ‍   E 105 ‍  
• (Choice A)   p = v ‍   A p = v ‍  
• (Choice B)   r + w = 180 ‍   B r + w = 180 ‍  
• (Choice C)   p + q = v + w ‍   C p + q = v + w ‍  

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McGraw Hill My Math Grade 5 Chapter 12 Lesson 2 Answer Key Sides and Angles of Triangles

All the solutions provided in  McGraw Hill My Math Grade 5 Answer Key PDF Chapter 12 Lesson 2 Sides and Angles of Triangles will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 5 Answer Key Chapter 12 Lesson 2 Sides and Angles of Triangles

A triangle is a polygon with three sides and three angles.

Talk About It

Question 1. Compare the side lengths of each pair of triangles above. What do you notice? Answer: Now we have to compare the above diagram and its measurements: Pair A: In pair A, the two triangles have equal sides. So it is said to be all sides are congruent. In pair B, two sides are congruent. In pair C, no sides are congruent.

Question 2. Compare the angle measures of each pair of triangles above. What do you notice? Answer: From the above diagram and the angles measured we noticed that: In pair A: Each has one right angle In pair B: Each has one obtuse angle. Obtuse triangle: An obtuse-angled triangle or obtuse triangle is a type of triangle whose one of the vertex angles is bigger than 90°. An obtuse-angled triangle has one of its vertex angles as obtuse and other angles as acute angles i.e. if one of the angles measures more than 90°, then the sum of the other two angles is less than 90°. The side opposite to the obtuse angle is considered the longest. In pair C: All are acute angles. Acute triangle: An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.

Practice It

Measure the sides of each triangle to the nearest tenth of a centimetre. Then describe the number of congruent sides.

Measure the angles of each triangle to the nearest degree. Then describe the number of acute, right, or obtuse angles.

Write About It

Question 16. How are all triangles the same and how can they be different? Answer: Two triangles will be similar if the angles are equal (corresponding angles) and the sides are in the same ratio or proportion (corresponding sides). Similar triangles may have different individual lengths of the sides of triangles but their angles must be equal and their corresponding ratio of the length of the sides must be the same. They can differ in the number of congruent sides and angles measures.

McGraw Hill My Math Grade 5 Chapter 12 Lesson 2 My Homework Answer Key

Problem Solving

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