Pre Algebra
Unit 6
Unit 6 – Coordinate Plane and Geometry
Objective Overview
The following is a small subset of possible problems that could represent each objective. Refer to notes,
homework and reviews for a more complete picture.
Section 1 – Graphing in the Coordinate Plane
By the end of section 1 you should be able to:
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Identify coordinates of point on a Coordinate plane
Find the coordinates for each point below.
A (____, ____)
B (____, ____)
C
C (____, ____)
A
B
-
Plot points on a coordinate plane .
Plot the following points on the coordinate plane.
(3, −4)
(5, 0)
(−2, −6)
American River College
291
Milano
Pre Algebra
-
Unit 6
Evaluate an equation and plot the points on the graph.
F ill out the chart below, then plot each point on the grid.
= 4 − 8
x
y
0
1
2
3
Section 2 – Area and Perimeter
By the end of section 2 you should be able to:
-
Find the Area of different Geometric Shapes.
Find the area of a rectangle whose bas is 10 cm and Height is 3 cm.
3cm
10cm
Find the Area of a square with side length of 5m.
Find the area of the Parallelogram below
2m
1m
6m
American River College
292
Milano
Pre Algebra
Unit 6
Find the Area of a triangle whose base is 8m and whose height is 3m.
Find the area of the circle whose radius is 3m.
Find the area of the composite shape below
5in
10in
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Find the Perimeter or Circumference of different shapes
Find the perimeter of a rectangle whose length is 5cm and width is 10cm.
Find the Perimeter of the square whose side length is 6ft.
6ft
If the length of a Parallelogram is 7 cm, and the width is 5 cm, find the Perimeter.
American River College
293
Milano
Pre Algebra
Unit 6
Find the Perimeter of the triangle below.
5m
2m
7m
If the radius of a circle is 2m, find the circumference.
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Solve for the unknown side given the Area or Perimeter.
If the Area of a square is 81 , what is the side length?
The perimeter of a parallelogram is 32m, and the width is 4m. Find the length.
Section 3 – Volume
By the end of section 3 you should be able to:
-
Find the Volume of different geometric shapes.
Find the Volume of the rectangular prism below.
3m
5m
7m
Find the volume of the cylinder.
3m
4m
American River College
294
Milano
Pre Algebra
Unit 6
Find the Volume of the Pyramid below.
4
3
2
Find the Volume of the cone below
6
2
Find the Volume of the sphere below.
6
American River College
295
Milano
Pre Algebra
Unit 6
Section 4 – Square Roots and the Pythagorean Theorem
By the end of section 4 you should be able to:
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Calculate Square Roots.
√121
-
Determine what whole numbers a square root falls between.
What whole numbers does √17 fall between?
-
Use the Pythagorean Theorem to find the missing side of the triangle.
Find the missing side of the triangle.
12
16
Find the missing side of the triangle.
10
8
American River College
296
Milano