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LESSON PLAN (Linda Bolin) - Granite School District

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<strong>LESSON</strong> <strong>PLAN</strong> (<strong>Linda</strong> <strong>Bolin</strong>)<br />

Lesson Title: Basic Geometry Ideas and Angle Measurement<br />

Course: Math 7 Date: February Lesson 3<br />

Utah State Core Content and Process Standards:<br />

4.1a Draw, label and describe relationships among line segments, rays, lines, parallel and<br />

perpendicular lines, including midpoint of a line segment<br />

4.1c Draw label and describe attributes of angles<br />

a) 4.2b Measure angles<br />

Lesson Objective(s): Students will describe and identify basic geometry ideas including line<br />

segments, rays, lines, parallel lines, perpendicular lines, and midpoint. Students will describe<br />

attribute of angles and measure angles.<br />

Enduring<br />

Understanding (Big<br />

Ideas):<br />

Geometric ideas can be<br />

identified and described.<br />

Skill Focus:<br />

Identify and classify<br />

geometric figures using<br />

information about their<br />

characteristics<br />

Essential Questions:<br />

• Where are examples of lines, segments and rays, parallel and<br />

perpendicular lines and midpoints found in the real-world?<br />

• How does a midpoint compare to other points on a line segment?<br />

• What units of measurement are appropriate for measuring<br />

angles? When is an angle considered to be a right angle? An<br />

acute angle? An obtuse angle?<br />

Vocabulary Focus:<br />

Point, line, line segment, ray, parallel lines, perpendicular lines,<br />

intersecting lines, midpoint, angle, vertex, degree, protractor,<br />

acute, right, obtuse, congruent<br />

Materials:<br />

• Angle Sort paper<br />

• Worksheets: Geometry Words Journal Page, Measuring Angles worksheets<br />

• Measuring angles quiz<br />

• Classifying Angles song overhead<br />

• Scissors, Paper for foldable, Protractors<br />

• Two-Colored Circular manipulative (made with small plastic plates)<br />

• Measuring angles quiz<br />

Assessment (Traditional/Authentic): performance task, assignments, observation,<br />

questions, quiz<br />

Ways to Gain/Maintain Attention (Primacy): contest, sorting, measuring, cooperative<br />

learning, manipulative, music, movement, virtual manipulatives-Geoboard<br />

Written Assignment:<br />

• Geometry Words Journal Page, Measuring Angles worksheets, Angle Measures Foldable<br />

Content Chunks<br />

Post all vocabulary using a mind map to help students connect the words to<br />

their meaning.


Starter: How great is your memory from your past experiences<br />

Contest? Try to match each word to the correct picture.<br />

1. Point a. •<br />

2. Line segment b. • •<br />

3. Line c.<br />

4. Ray d. •<br />

5. Parallel lines e.<br />

6. Perpendicular lines f.<br />

7. Angle g.<br />

8. Midpoint h. ●<br />

Lesson Segment 1: Where are examples of lines, segments and rays, parallel<br />

and perpendicular lines and midpoints found in the real-world? found in the<br />

real-world? How does midpoint differ from other points on a line?<br />

This can be a contest where small groups compete to see how many they can name. As<br />

you discuss the starter with the students, have them begin to fill in the Geometry<br />

Words journal page (attached). Assign each team of students one idea from the starter<br />

except “angle” to consider three real-world examples or situations. Select one person<br />

from each team to share the examples, so the class can choose one of those to write<br />

on their journal page. As you discuss the ideas, have students fill in their own words<br />

and sketches.<br />

Lesson Segment 2: Where are examples of angles found or used in the realworld?<br />

Guessing game: Tell students you are thinking of one of the geometric ideas and<br />

that you will point to some examples of that idea in the room. When they think they<br />

might know what the idea you are thinking of is, they may write the idea down. After<br />

pointing to several examples that suggest where an angle might be formed, ask for<br />

responses. Ask students to describe attributes for some of the angles you pointed to<br />

such as where the vertex point might be, or where the line segments are which form<br />

the angle. Show the math symbol for angle.


Lesson Segment 3: How can I describe attributes of angles?<br />

Without giving information have students sort angles by cutting out the cards on<br />

the Angle Sort paper. Partners cut and sort, writing the rule for their sort. Then have<br />

the partners compare their sorting to another pair. Discuss with class the sort<br />

bringing them to the idea that angles can be described by the wideness or openness of<br />

the angle. This wideness is the measure of an angle. Remind them that they may<br />

have heard words such as acute, right or obtuse when describing angles.<br />

Sing this song with the students:<br />

Classifying Angles Song<br />

(to the tune of Skip To My Lou. Lyrics by <strong>Linda</strong> <strong>Bolin</strong>)<br />

Use arms to show each as the verse is sung.<br />

I’m a little angle. I like me like that.<br />

An ACUTE little angle, and I’m not fat.<br />

I’m an alligators mouth or a witches hat.<br />

I’m ACUTE. I’m less than 90.<br />

I’m a RIGHT angle, and I look square.<br />

Look for a corner, and I’ll be there.<br />

I’m a flag or a present. I’m everywhere.<br />

I’m just RIGHT. I’m exactly 90.<br />

I’m rather large, so I have pride.<br />

I’m an OBTUSE angle. I’m big inside.<br />

I’m a reclining chair or a door open wide.<br />

I’m OBTUSE. I am more than 90.<br />

Have students use Two-color Circular manipulative to show attributes such as acute,<br />

obtuse and right as you ask them to. (A two-color manipulative can easily be made to<br />

allow the students to demonstrate angles. Make a cut in two different colored small<br />

plastic plates from the circumference to the center of the plate. Slide the two plates<br />

together at the cut.)


Have students re-sort the angles into acute, right and obtuse categories (if they did not<br />

originally do so) and write the category on the back of the card.<br />

Lesson Segment 4: What is the measure for a given angle?<br />

Use the “Measuring Angles” investigation worksheet and protractors to become more<br />

familiar with the protractor and to measure angles.<br />

Practice:<br />

Make a three column foldable (as shown below). The back side of the foldable can be<br />

labeled “Measuring and Classifying Angles”. Have students use their protractors to<br />

measure each of the angles from the sort cards. Then have them use the protractor to<br />

sketch the angles in the appropriate column on the Foldable and label the measure of<br />

each angle.<br />

Acute


Geometry Words 1<br />

Word or<br />

phrase<br />

Symbol ( )<br />

Point ( )<br />

Line ( )<br />

Line segment<br />

( )<br />

Ray ( )<br />

Midpoint ( )<br />

Name:__________________<br />

Sketch A real-world example Definition<br />

(in your words)<br />

Parallel lines<br />

( )<br />

Perpendicular<br />

lines ( )<br />

Vertex ( )<br />

Degree<br />

Angle ( )<br />

Acute<br />

Right<br />

Obtuse<br />

Vertical<br />

Adjacent<br />

Complementary<br />

Supplementary


Classifying Angles Song<br />

(to the of Skip To My Lou. Lyrics by <strong>Linda</strong> <strong>Bolin</strong>)<br />

Use arms to show each as the verse is sung.<br />

I’m a little angle. I like me like that.<br />

An ACUTE little angle, and I’m not fat.<br />

I’m an alligators mouth or a witches hat.<br />

I’m ACUTE. I’m less than 90.<br />

I’m a RIGHT angle, and I look square.<br />

Look for a corner, and I’ll be there.<br />

I’m a flag or a present. I’m everywhere.<br />

I’m just RIGHT. I’m exactly 90.<br />

I’m rather large, so I have pride.<br />

I’m an OBTUSE angle. I’m big inside.<br />

I’m a reclining chair or a door open wide.<br />

I’m OBTUSE. I am more than 90.


Angle Sorting:<br />

Cut the angle cards apart. Sort them into three categories and write the rule<br />

for each category. Your categories can’t refer to angle positions such as upside-down,<br />

left or right.<br />

1<br />

2<br />

3<br />

4 5 6<br />

7<br />

8 9<br />

10 11 12


Measuring Angles<br />

Name_____________________<br />

C<br />

A<br />

B<br />

0˚<br />

1) What is an angle? Use the circle drawing to help you understand and explain.<br />

2) How can angles in circle A be the same size as angles in circle B and C when they<br />

look wider?<br />

3) When you turn around in a complete circle, you have traveled 360 degrees.<br />

Degrees are used to label the distance of a turn. Use a colored pencil to trace the<br />

line and label the degrees to show where each of the following turns would stop.<br />

Begin at 0˚ each time. Each line represents a turn of 15 degrees. The degrees are<br />

the measure of the angle.<br />

A. A 15˚ turn<br />

B. A 30˚ turn<br />

C. A 45˚ turn<br />

D. A 90˚ turn<br />

E. A 120˚ turn<br />

F. A 180˚ turn<br />

G. A 210˚ turn<br />

H. A 270˚ turn<br />

I. A 315˚ turn<br />

J. A 360˚ turn


C<br />

A<br />

B<br />

4) Look at a protractor. How is a protractor similar to the circle above? How is it<br />

different?<br />

5) Find the mark on your protractor that would represent the center of the circle.<br />

Where is that mark? This is the vertex point mark.<br />

6) Find the mark on your protractor that would represent 0˚. Where is the 0˚ mark?<br />

7) Find the mark on your protractor that would represent 180˚. Where is the 180˚<br />

mark?<br />

8) Each angle sketched below represents a turn. Place your protractor so the center<br />

mark is on the vertex of an angle. Line one of the segments up pointing to the 0˚<br />

mark. Now find the mark where the other line segment is pointing. How many<br />

degrees is the angle?


Name __________________<br />

Measuring Angles Quiz<br />

1. Label 0° and 180° on this protractor.<br />

2. Label “vertex” where the protractor will be placed on the angle vertex point.<br />

3. Sketch and label where a ray forming a 120° angle might pass through.<br />

4. Sketch a 45° angle in the space below the protractor.<br />

5. Where in this room would you see:<br />

An acute angle?<br />

A right angle?<br />

An obtuse angle?

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