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Chapter 4-Lesson 4 Key

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My Math 4 Volume 2 Common Core, Grade: 4 Publisher: McGraw-Hill

My math 4 volume 2 common core, title : my math 4 volume 2 common core, publisher : mcgraw-hill, isbn : 002116195x, isbn-13 : 9780021161959, use the table below to find videos, mobile apps, worksheets and lessons that supplement my math 4 volume 2 common core., textbook resources.

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Chapter 4, Lesson 2: Greatest Common Factor

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McGraw Hill My Math Grade 4 Chapter 14 Lesson 3 Answer Key Model Angles

All the solutions provided in  McGraw Hill My Math Grade 4 Answer Key PDF Chapter 14 Lesson 3 Model Angles will give you a clear idea of the concepts.

McGraw-Hill My Math Grade 4 Answer Key Chapter 14 Lesson 3 Model Angles

Talk About It

Question 2. Mathematical PRACTICE Explain to a Friend Refer to the angle you drew in the activity above. State whether the angle’s measure is greater than, less than, or equal to \(\frac{1}{2}\) turn. Explain. Answer: Equal to \(\frac{1}{2}\) turn The angle measured here is equal to \(\frac{1}{2}\) turn. Take a point as reference. Take a thread at that reference point and trace the horizontal line and rotate the tread in half turn, which then forms the required angle.

Practice it

Draw lines to match each figure to its description.

Write About It

Question 12. How can I describe an angle’s measure? Answer: An angle is a geometric shape that is formed when two rays have the same endpoint. The rotation of a ray’s beginning point to its endpoint is referred to as an angle. The amount of rotation from a ray’s initial point to its endpoint is measured as an angle. If the rotation is in the clockwise direction, the angle is said to be positive; if in the anticlockwise direction, it is said to be negative. Angles are measured by the amount of rotation, or turning, from one ray to another. Angles are typically expressed in terms of degrees. A complete rotation in either a clockwise or counterclockwise direction, with the beginning and ending points being the same, is referred to as a degree. There are 360 parts in a rotation. It is said to be 1 degree if the rotation from the initial and ending side is \(\frac{1}{360}\)th of the rotation.

McGraw Hill My Math Grade 4 Chapter 14 Lesson 3 My Homework Answer Key

Circle the correct description for the measure of each angle.

Draw an angle with a measure greater than turn.

Problem Solving

Question 8. Mathematical PRACTICE Be Precise Describe the rays of an angle that measures \(\frac{1}{2}\) turn. Answer: A \(\frac{1}{2}\) turn is termed as a straight angle which has a measure of 180 degrees. It is termed as such because it looks like a straight line. A ray is part of a line.

Question 9. Mathematical PRACTICE Model Math Imagine a clock with the hour hand at 12 and the minute hand at 2. Does the angle formed by the two hands have a measure greater than, less than, or equal to \(\frac{1}{4}\) turn? Answer: less than \(\frac{1}{4}\) turn Consider the fact that a clock has 360 degrees and is shaped like a circle.  60 minutes make to an hour, thus 360 degrees divided by that number equals 6. The minute hand therefore rotates six degrees per minute. The hour hand rotates around the clock in 720 minutes. 720 minutes divided by 360 degrees equals 0.5. The hour hand therefore moves 0.5 degrees per minute. At 12:10, the hour hand has moved 10 out of 720 possible times from the top of the clock. 10 times 0.5 degrees is 5 degrees. At 12:10, the minute hand has moved 10 out of 60 possible times from the top of the clock. 10 times 6 degrees is 60 degrees. Therefore, 60 – 5 = 55 degrees. \(\frac{1}{4}\) turn can be considered as 90 degrees as \(\frac{1}{4}\) th part of 360 degrees is 90 degrees. As 55 degrees is less than 90 degrees, the angle formed by a clock with the hour hand at 12 and the minute hand at 2 is less than \(\frac{1}{4}\) turn.

Vocabulary Check

Question 10. In your own words, define angle. Answer: An angle is a geometric shape that is formed when two rays have the same endpoint. The rotation of a ray’s beginning point to its endpoint is referred to as an angle. The amount of rotation from a ray’s initial point to its endpoint is measured as an angle. If the rotation is in the clockwise direction, the angle is said to be positive; if in the anticlockwise direction, it is said to be negative. Angles are measured by the amount of rotation, or turning, from one ray to another. Angles are typically expressed in terms of degrees. A complete rotation in either a clockwise or counterclockwise direction, with the beginning and ending points being the same, is referred to as a degree. There are 360 parts in a rotation. It is said to be 1 degree if the rotation from the initial and ending side is \(\frac{1}{360}\)th of the rotation.

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