AUSD Grade 3 Unit 3 Study Guide

AUSD Grade 3
1
Unit 3 Study Guide
Parallel Line Segments
Parallel
Not Parallel
What is the same about the groups of parallel line segments?
Why aren’t these line segments parallel?
They are always the same distance apart. They do not
intersect each other. If you extend the line segments, they
will not intersect.
Some intersect each other. Some don’t
touch, but they are slanted toward each
other.
Please note: Students need to identify parallel sides within two dimensional shapes, particularly quadrilaterals. However, as
an extension, teachers may choose to include parallel lines and rays in instruction.
3.G.1
1´
You Try: Draw examples of line segments that are parallel. Then draw examples that are not parallel.
Parallel
Not Parallel
Does a group of parallel line segments need to be the same length? ___________
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MCC@WCCUSD (AUSD) 05/3015
AUSD Grade 3
2
Unit 3 Study Guide
Angles can have big openings or small openings. We can test the size of an angle by using the corner of
a piece of paper. The corner of the paper is the same size as a right angle.
Less than a Right Angle
(smaller opening)
Right Angle
Greater than a Right Angle
(bigger opening)
We often mark a right
angle with a square.
Please note: Students are not required to use the words acute or obtuse, but teachers may choose to use those terms. Please
note that obtuse angles are greater than a right angle (90 degrees) and less than a straight angle (180 degrees). Reflex angles
are greater than 180 degrees and less than 360 degrees.
3.G.1
2´
Test each angle below. Label the size of each angle using the phrases from the answer box.
less than a right angle
right angle
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greater than a right angle
MCC@WCCUSD (AUSD) 05/3015
AUSD Grade 3
Unit 3 Study Guide
A polygon is a closed, flat, shape with all straight sides.
3
Some Types of Polygons:
Not Polygons:
This is not a polygon because it has a curved side.
triangle
quadrilateral
This is not a polygon because it is not closed.
pentagon
septagon or
heptagon
hexagon
This is not a polygon because it is not flat. It is a
3 dimensional object.
octagon
Please note that students name the different polygons in second grade. Third grade focuses mainly on quadrilaterals,but
teachers can include other polygons when looking for attributes.
3.G.1
3´
You Try: Determine if each shape is a polygon.
If it is a polygon, write its exact name. If it is not a polygon, explain how you know.
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Unit 3 Study Guide
Look at the Attributes of a Polygon.
Label the Attributes of a Polygon
What are the attributes of this polygon?
number of sides
You can mark
the polygon to
show its
attributes.
4
sides the same length
2
The arrows show where the parallel
sides are. The tic marks show which
sides are the same length.
parallel sides 1 pair
right angles
0
angles less than a right angle (acute)
2
angles greater than a right angle (obtuse)
2
Please note: Students should be able to mark
a right angle. They are not required to use
the other markings, or to read them.
Experience marking the shapes can be
beneficial. Some teachers use color to help
students mark the shapes instead of the
standard mathematical markings.
Name it. quadrilateral, trapezoid
3.G.1
4´
You Try: What are the attributes of this polygon? Label the attributes you can.
number of sides
sides the same length
parallel sides
right angles
angles less than a right angle (acute)
angles greater than a right angle (obtuse)
Name it. _________________________
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Unit 3 Study Guide
Parallelograms are quadrilaterals with 2 pairs of parallel sides. Some people say 2 sets of parallel sides.
Is this a parallelogram?
Is this a parallelogram?
Quadrilateral? Yes!
Quadrilateral? Yes!
2 pairs of parallel sides? No!
It only has 1 pair.
2 pairs of parallel sides? Yes!
This is not a parallelogram because it
 This is a parallelogram because it is a
only has 1 set of parallel sides. It has a
different name, trapezoid.
quadrilateral with 2 sets of parallel sides.
*Please note: Students also need to identify rectangles (quadrilaterals with 4 right angles), rhombuses (quadrilaterals with 4
sides the same length), and squares (quadrilaterals with 4 right angles and 4 sides the same length). Teacher definitions may
vary slightly.
3.G.1
5´
You Try:
Is this a parallelogram? Justify your answer.
Is this a parallelogram? Justify your answer.
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Unit 3 Study Guide
Directions:
For Part A and Part B, you may:
*use a ruler to help you measure the sides
*use the corner of a piece of paper to help you measure the angles
Part A:
What are the attributes for Shape A?
4 sides
Shape A
2 pairs of parallel sides
4 sides the same length
no right angles
2 angles that are less than a right angle (acute)
2 angles greater than a right angle (obtuse)
Part B:
How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes.
Use complete sentences.
Shape B
1) They both have 4 sides.
2) They both have 2 pairs of parallel sides.
3) They both have 4 sides the same length.
You try for #6 is on the next page.
3.G.1
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AUSD Grade 3
6´
Unit 3 Study Guide
You Try:
For Part A and Part B, you may:
*use a ruler to help you measure the sides
*use the corner of a piece of paper to help you measure the angles
Part A:
Answer the questions about the attributes for Shape A.
How many sides? _______
Shape A
How many pairs of parallel sides? ________
How many sides are the same length? _________
How many right angles are there? _________
How many angles are less than a right angle (acute)?_______
How many angles are greater than a right angle (obtuse)? ________
Part B:
How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes.
Use complete sentences.
Shape B
1) ____________________________________________________________________________
2) ____________________________________________________________________________
3) ____________________________________________________________________________
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AUSD Grade 3
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Unit 3 Study Guide
Which polygon does not belong in this group? Justify your answer.
Possible Answers:
This polygon does not belong
because it is the only triangle.
The other two are quadrilaterals.
This polygon does not belong
because it is the only one that
does not have a right angle.
This polygon does not belong
because it is the only one that
has only right angles.
3.G.1
7´
You try: Which quadrilateral does not belong in this group? Justify your answer.
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Unit 3 Study Guide
Selected Response
How could you name this shape?
A. quadrilateral
Yes
No
B. parallelogram
Yes
C. rectangle
Yes
No
No
D. square
Yes
No
3.G.1
9
Selected Response:
Match the shape with the description from the answer box. You may use the corner of a piece of paper to
test the angles if you need to.
no right angles
only 1 right angle
only 2 right angles
4 right angles
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
3.G.1
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End of Study Guide
MCC@WCCUSD (AUSD) 05/3015
AUSD Grade 3
1´
Unit 3 Study Guide
You Try Solutions
You Try: Draw examples of line segments that are parallel. Then draw examples that are not parallel.
Student samples will vary. Use the examples from #1 as a guide.
2´
Test each angle below. Label the size of each angle using the phrases from the answer box.
less than a right angle
greater than a right angle
3´
right angle
less than a right angle
greater than a right angle
right angle
right angle
You Try: Determine if each shape is a polygon.
If it is a polygon, name it. If it is not a polygon, explain how you know.
This is not a polygon because it has curved sides.
pentagon
This is not a polygon because it has curved sides.
This is not a polygon because it is not closed.
octagon
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AUSD Grade 3
4´
Unit 3 Study Guide
You Try: What are the attributes of this polygon? Label the attributes you can.
number of sides
4
sides the same length
0
parallel sides 1 pair
right angles
2
angles less than a right angle (acute) 1
angles greater than a right angle (obtuse)
1
Name it. quadrilateral, trapezoid
5´
You Try:
Is this a parallelogram? Justify your answer.
Is this a parallelogram? Justify your answer.
Quadrilateral? No!
2 pairs of parallel sides? Yes!
Actually, there are 3 pairs.
Quadrilateral? Yes!
2 pairs of parallel sides? Yes!
This is a parallelogram because it is a
quadrilateral with 2 pairs of parallel sides.
This is not a parallelogram because it is
not a quadrilateral.
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MCC@WCCUSD (AUSD) 05/3015
AUSD Grade 3
6´
Unit 3 Study Guide
You Try:
Part A:
Answer the questions about the attributes for Shape A.
How many sides? 4
How many pairs of parallel sides? 2 pairs
How many sides are the same length? 2 pairs of sides
How many right angles are there? 4 right angles
How many angles are less than a right angle (acute)? none
How many angles are greater than a right angle (obtuse)? none
Shape A
Part B:
How is Shape B like Shape A? Describe 3 attributes that are the same for both shapes.
Use complete sentences.
Shape B
1) They both have right angles.
2) They both have parallel sides.
3) They both have some sides the same length.
7´
You try: Which quadrilateral does not belong in this group? Justify your answer.
Possible Answers:
This quadrilateral does not belong
because it only has 1 pair of
parallel sides. It’s the only
trapezoid.
This quadrilateral does not
belong because it is the only one
that has right angles.
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This quadrilateral does not
belong because it is the only one
that has 4 sides the same length.
MCC@WCCUSD (AUSD) 05/3015
AUSD Grade 3
8´
Unit 3 Study Guide
Selected Response:
How could you name this shape?
A. quadrilateral
Yes
9´
No
B. parallelogram
Yes
C. rectangle
Yes
No
No
D. square
Yes
No
Selected Response:
Match the shape with the description from the answer box. You may use the corner of a piece of paper to
test the angles if you need to.
no right angles
only 1 right angle
only 2 right angles
4 right angles
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
Ⓐ
Ⓑ
Ⓒ
Ⓓ
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MCC@WCCUSD (AUSD) 05/3015