Homework Problems
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Quick Look
Today we applied our knowledge of plotting and locating points on a coordinate plane to identify and
create geometric shapes.
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For example, we know these coordinates are three of the vertices of a square: E (4, 3) F ( 4, 3)
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G ( 4, 5).What is the missing coordinate for point H?
First, plot the known points on the coordinate plane. We know a square has four equal sides; therefore,
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the missing point must align with point E and point G making the ordered pair for point H (4, 5).
To double check that we have created a square, we can count the units along each side to make
sure all sides are equal.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
1
1) You have been asked to design a graphic for a t-shirt. The graphic must:
a) be a rhombus and
b) have a point located in each quadrant of the coordinate plane.
Step 1: Determine what shapes you could possibly use.
Step 2: Once you have determined which shape you would like to use, choose points, plot and
label them on the coordinate plane.
Step 3: List the ordered pair for each of the points.
2
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
Directions for questions 2–4: Plot each point on the coordinate plane and connect them in alphabetical
order. What type of polygon did the plotted coordinates make?
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2) A ( 5, 3)
B (5, 2)
3) M (2, 5)
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O (2, 1)
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Q ( 6, 2)
N (4, 2)
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P ( 4, 1)
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R ( 4, 5)
PowerTeaching: i3
© 2012 Success for All Foundation
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C ( 5, 5)
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
3
4) C (6, 6)
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E ( 6, 4)
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D (2, 4)
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F ( 2, 6)
Explain your thinking for question 4:
5) You are designing a rectangular garden bed.
The following points have been plotted:
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D ( 6, 4)
E ( 6, 2)
F (8, 2).
Write the ordered pair for the final point;
use the grid to help you.
4
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
6) Mallory is creating a rectangular poster
for a bake sale. She has plotted the
following points:
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N ( 6, 2)
O (4, 2)
P (4, 0).
Write the ordered pair for the final point;
use the grid to help you.
7) Suri is designing a rectangular quilt.
She has plotted the following points:
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F ( 10, 6)
G (5, 6).
E ( 10, 2)
Write the ordered pair for the final point;
use the grid to help you.
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
5
Mixed Practice
8) A large pizza costs $13.95. What is the cost
of 6 large pizzas?
9) Put the fractions in order from least
to greatest.
1 1 3 99 5
, , ,
,
5 7 4 100 6
10) Subtract.
4,008 – 3,959
11) Write all the factors of 20.
Word Problem
12) Jenny is designing her deck. She wants it
to be square in shape. She has started the
design for the posts that will hold the deck
to the ground:
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P ( 3, 6)
Q ( 3, 6)
R (9, 6).
What is the ordered pair for the missing
deck post, point S?
Explain how you found your answer:
6
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
For the Guide on the Side
Today your student used his or her knowledge of locating and plotting points on a coordinate plane to
identify and create geometric shapes. Students plotted points using given ordered pairs and connected
those points in order. Then they named the shape the points made. Students also deduced the location of
missing points based on their knowledge of two-dimensional shapes (such as squares, triangles, and
rectangles) and their attributes. For example, squares have four equal sides, so the vertices of the square
must be placed to make the four sides the same length.
Your student should be able to answer the following questions:
1) Why is it important to connect the points in the order indicated by the directions?
2) How did knowing the characteristics/attributes of a square/rectangle/triangle help you solve
this problem?
3) How did you know where to plot the last point?
Here are some ideas to explore graphing with your student:
1) Create a shape, such as a house, on a coordinate plane of your own. Write down the
coordinates for each point. Then give your student the coordinates and a blank coordinate
plane to try and duplicate the drawing.
2) Use the following web-sites to practice plotting polygons:
http://www.shodor.org/interactivate/activities/GeneralCoordinates/
http://www.shodor.org/interactivate/activities/OrderedSimplePlot/
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems
7
Homework Answers
1) Answers will vary.
2) triangle
3) hexagon
4) parallelogram
Possible explanation: First, I plotted each point on
the coordinate plane. Then, I connected the points
in alphabetical order as well as point F to point C.
I know this shape is a parallelogram because
the opposite sides are the same length and
are parallel.
5) (8, 4)
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6) ( 6, 0)
7) (5, 2)
Mixed Practice
8) $83.70
10) 49
9)
1 1 3 5 99
, , , ,
7 5 4 6 100
11) 1, 2, 4, 5, 10, 20
Word Problem
12) (9, 6)
Possible explanation: First I plotted the known points P, Q, and R. I know this shape is a square and
that squares are equilateral rectangles; therefore, it has two pairs of opposite parallel sides that are
the same length. The ordered pair for point S that best completes the figure is (9, 6).
8
PowerTeaching: i3
© 2012 Success for All Foundation
Level F Unit 4 Cycle 1 Lesson 3
Homework Problems