Curriculum Map

Lesson 4 problem solving practice polygons and angles, lesson overview

Performance Task Make Connections Take notes about your classmates' methods for finding the sum of the angles of any polygon. How did the definitions and characteristics of different figures help you? If the number of sides in a regular polygon keeps increasing, what angle measure are the angles in the polygon getting close to? Performance Task Ways of Thinking:

Contents

Assessment Have students submit their work to you.

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Formative Assessment Summary of the Math: If all of the angles are x degrees, what do you know about the angles? Find Angles in the Figure Interventions Student has difficulty getting started.

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What method can you use research paper about healthy lifestyle pdf find the angle sum of any polygon? Prepare a Presentation Preparing for Ways of Thinking Look for these types of responses to share during the Ways of Thinking discussion.

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Example 2 To find the measure of an interior angle of a regular octagon, which has 8 sides, apply the formula above as follows: Show Answer Substitute 8 an octagon has 8 sides into the formula to find a single interior angle Problem 6 Calculate the measure of 1 interior angle of a regular dodecagon 12 sided polygon?

Task 8: Check to make sure how to write short essay students have a clear understanding, pull a small group of students to provide clarification as needed.

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Check your summary: The results of the Self Check will help you determine which students should work on the Gallery and which students would benefit from review before the assessment. Angles in Polygons A Possible Summary The properties of vertical, supplementary, adjacent, and complementary angles all play a part in describing geometric figures.

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Explain how you determined each angle measure. If other students in the class understand and you don'tallow them to help you. Show Hint Hint: Interventions Check questions that are related to this work.

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Describe the method you used to find the angle sum in any polygon. Student provides adequate solution to all questions Find a different way of solving the problem.

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Show Answer Substitute 12 a dodecagon has 12 sides into the formula to find a single interior angle Problem 7 Calculate the measure of 1 interior angle of a regular hexadecagon 16 sided polygon? Performance Task Make Connections Take notes about your classmates' methods for finding the sum of the angles of any polygon.

An alternate method involves dividing the polygon into as many triangles as there are sides.

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Challenge Problem The figure is a kite, which will be explored further in the Gallery. If the number of sides in a regular polygon keeps increasing, what angle measure are the angles in the polygon getting close to?

4.2: Three Quadrilaterals (Part 2)

Show Answer Substitute 16 a hexadecagon has 16 sides into the formula to find a single interior angle Challenge Problem What is the measure of 1 interior angle of a pentagon? Prepare a presentation about your solutions. Is there another way to solve the problem? The results of the Self Check will help you determine which students should work on the Gallery and which students would benefit from review before the assessment.

However, the quadrilateral is not a rhombus.

Geometry – Angles of Polygons

Performance Task Ways of Thinking: Work Time Prepare a Presentation Describe a method for finding the angle sum of any polygon. Prepare a presentation about your solutions. Task 9: How did you decide what to do first in order to solve the problem?

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What is the angle sum in a triangle? Formative Assessment Summary of the Math: Look for students who: Support your method with examples from your work. Show Hint As your classmates present, ask questions such as: Look for students who see the importance of measuring the angles accurately.

Challenge Problem If a regular polygon has sides, what is the measure of each angle?

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Ask questions such as the following: What is the sum of the angle measures that you know? Students may use the following concepts to find the angle measures: Some of the characteristics that describe triangles and quadrilaterals, including how their angles are related to each other, are based on these types of angles. Make sense of problems and persevere in solving them.

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What do you notice? Exterior Angles of a Polygon Formula for sum of exterior angles: Show Answer This question cannot be answered because the shape is not a regular polygon. Look for research paper about healthy lifestyle pdf express regularity in repeated reasoning.

Show Hint Hint: Make notes on what their work reveals about their current levels of understanding and their different problem-solving approaches. Use different methods to solve for the angle measures. Performance Task Ways of Thinking: Using this information, you can find the measures of missing angles.

Math, Grade 7, Constructions and Angles, Pre-Assessment | OER Commons

A pentagon? So, the only type of triangle we could be talking about is an equilateral one like the one pictured below. Find Angles in a Pentagon Solve for x. Do you explain how you can use the relationships of angles in different types of polygons to find missing angles?

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What is the angle sum for educational goals college essay dodecagon 12 sides? Do you describe some things you know about the angles in different types of polygons? Can you state what [students] said in a different way?

Explain how you determined each angle measure. When critiquing students whose proficiency in English is low, focus on what the student is trying to convey and not the grammar mistakes.

Check your summary: Make Connections Take notes about your classmates' strategies and explanations for finding the missing angle measures.