Fall 2010
Math 2023
Angle Sum Project
Student_
Grade Sheet
Grade_/10
Does the student have at least two triangles (or quadrilaterals) with torn corners? _/2
Did the student rearrange the corners to show the correct angle sum? _/3
Did the student describe
The Metric System
The metric system is a system of _ units. The metric system or _
_ (SI) is the measurement system used by most of the world _
the _. It is based on a decimal (_ _) system.
The basic unit of length in the metric system is the _ (
is the _
Other Measurements and Conversions
Temperature
There are two commonly used measurements of temperature: Celsius and Fahrenheit.
If you have a temperature in Celsius and you want Fahrenheit, use the formula: F = 1.8C + 32.
If you have a temperature in Fahr
Pattern Blocks
Pattern blocks come in six shapes:
Using Pattern Blocks, determine which of the following polygons can be used to tessellate the
plane without using the other polygons.
Pattern Block Polygon
Equilateral Triangle (green)
Square (orange)
Rhom
Perimeter Handout
Perimeter is a measurement of length. Perimeter is the measurement of the distance around a figure.
Many times the perimeter of a figure can be found by simply summing the lengths of each side.
Squares and Rectangles
1. Find the perimete
Surface Areas of Prisms and Pyramids
The surface area of a three-dimensional solid is the _ of all the _
_ of the solid. Usually we unfold the solid into a two-dimensional picture
called a _.
example:
10 in.
8 in.
The surface area of the square pyramid wh
Surface Area Practice Problems
Prisms and Pyramids
Find the surface area of each solid. If necessary, round to two decimal places.
a)
Cube
b)
8 ft
6 ft
20 ft
14 in.
15 in.
c)
d)
9 in.
8 cm
4 cm
3 cm
e)
4 mm
15 m
5 mm
f)
12 m
2m
9m
3 mm
13 ft
g)
h)
8 ft
6
Surface Areas of Cones and Cylinders
The surface area of a three-dimensional solid is the _ of all the _
_ of the solid. Generally, we unfold the solid into a two-dimensional
picture called a _. For the cone and cylinder, knowing the formula is usually ea
Tessellations
Definition: A tessellation is an _ of _ or
_ shapes which completely _ the plane (_
_), without any _, _, or _.
Examples:
Using Pattern Blocks, determine which of the following polygons can be used to tessellate the
plane without using the o
onstandard Units of Measurement
Informal methods of measure, such as _, _, and _-_
are sometimes used for measuring. These units are usually imprecise since each can vary from
person to person.
Activity 1
a) Use the following nonstandard measurement units
Surface Area and Volume Practice Problems
Cones and Cylinders
Find the surface area of each solid. Find the surface area of each solid. Round your answers to
two decimal places.
a)
b)
5 in.
13 ft
12 ft
7 in.
5 ft
c)
d)
9 yd
6 mm
12 yd
20 mm
15 yd
e)
5 yd
MATH 2023
Foundations of Geometry and Measurement
Fall 2010 Syllabus
Instructor: Mrs. Jennifer Stone
Office: Math and Computer Science 120
Telephone: (405) 974 5436
Email: [email protected]
Course Time(s): MWF 9:00am 9:50am in the Center for Transformative
Area and Perimeter Formulas
Area Formulas
Triangle
Rectangle
Square
Parallelogram Trapezoid
Circle
Shape
Area
Perimeter Formulas
Rectangle
Square
Circle
Shape
Perimeter
Pythagorean Theorem
Only true for _
_.
Math 2023
1
Area Handout
Squares and Rectangles
1. Find the area of each figure.
a)
b)
1 cm
c)
d)
2 ft
9m
6 ft
7 in
5m
Write a formula to use when finding the area of a square. _
Write a formula to use when finding the area of a rectangle. _
Parallelograms
2. Find th
Foundations of Geometry
Math 2023
Border Project
Due: Friday, December 10
Project:
You are to create your own set of examples of border patterns. If you are a soonto-be elementary teacher, this border pattern gallery could be useful to illustrate
possible
Area and Perimeter of Circles and Sectors
Circles
Area
Write a formula to use when finding the area of a circle. _
1. Find the area of each circle. Give your answer in terms of and also as a decimal rounded to two
decimal places.
a)
b)
c)
d)
10 ft
3 in
14
Classifying Semi-Regular and Demi-Regular Tessellations
List the vertex arrangements of the following tessellations. Then, classify them as either semiregular or demi-regular.
a)
b)
c)
d)
e)
f)
g)
h)
Math 2023
1
i)
j)
k)
l)
m)
n)
o)
Math 2023
2
p)
q)
Note
The English System
The English System is another system of _ units. The English System is also
known as the _ _ _.
A) Length
B) Area
Unit
Unit
Abbreviation
C) Volume
Abbreviation
D) Weight
Unit
Abbreviation
Unit
Abbreviation
E) Capacity _ _ the solid with
Exam 1 Review
Chapters 1, 2, 3, 5
Fall 2010
Chapter 1 Polygons and Angle Relationships
Names of polygons
Angle sums of polygons
Missing angles in polygons
Individual angle measurements of regular polygons
Four kinds of related angles corresponding, AIA, v
Exam 2 Review
Chapters 4, 7, 10, Measurement
Fall 2010
Chapter 4 Explorations in Three-Dimensional Geometry
Name prisms and pyramids given a picture of the solid
Name prism and pyramid given a picture of its net
Find the number of edges, vertices, or face
Exam 3 Review
Chapters 8, 9, 14, 15, 16
Fall 2010
Chapter 8 Pythagorean Theorem and Perimeter
Find slant lengths on a geoboard
Find perimeters of geoboard shapes as sums of square roots and
as decimals
Given a perimeter, create a geoboard shape
Solve word