The Geometry Standards for Fifth Grade~

Students will derive and use the formula for the area of triangles and parallelograms by comparing them with the formula for the area of a rectangle.

Students will construct a cube and rectangular box from two-dimensional patterns and use those patterns to compute the surface area for these objects.

Students will understand the concept of volume and use appropriate units in common measuring systems to compute the volume of rectangular solids.

Students will differentiate between, and use appropriate units of measure for, two and three-dimensional objects.

Students will measure, identify and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools.

Students will know that the sum of the angles of any triangle is 180º and the sum of the angles of any quadrilateral is 360º and use this information to solve problems.

Eight days of geometry fun!

Bob is drawing shapes in the sand. He has drawn a rectangle 16 inches long and 4 inches wide. The sizes of the other shapes he draws are determined from this rectangle. Can you help him find their dimensions?

Day 1:
A square with the same perimeter.

Day 2:
A triangle with the same perimeter.

Day 3:
A rectangle with the same length but twice the perimeter.

Day 4:
A rectangle with double the width but the same perimeter.

Day 5:
A square with the same area.

Day 6:
A rectangle of the same area but a perimeter greater than 100 inches.

Day 7:
A rectangle with the same perimeter but an area less a than 50 square inches.

Day 8:
A triangle with one-half the area.

Students will need to know the following terms:

ray	part of a line that has one endpoint and goes on forever in one direction.
angle	a geometric figure formed by two rays with a common endpoint
acute angle	an angle whose measure is less than 90 degrees
obtuse angle	an angle whose measure is more than 90 degrees
right angle	an angle whose measure is 90 degrees
triangle	a polygon that has three sides
scalene triangle	a triangle that has no equal sides
isoceles triangle	a triangle with two equal sides
equilateral triangle	a triangle with all three sides equal
obtuse triangle	a triangle whose largest angle is obtuse
acute triangle	a triangle whose angles are all acute
right triangle	a triangle with a right angle
intersecting lines	lines that meet or cross each other
parallel lines	lines which will never intersect
perpendicular lines	lines which intersect for form right angles

Check your geometry vocabulary-

An exact location in space is known as a _ _ _ _ _ .

A straight path made up of points in a plane that goes forever in both directions is a _ _ _ _ .

A part of a line that is straight and has two endpoints is a _ _ _ _ /_ _ _ _ _ _ _ .

Lines that meet or cross each other at one point are called _ _ _ _ _ _ _ _ _ _ _ _ lines.

Lines that meet or cross each other and form square corners are called _ _ _ _ _ _ _ _ _ _ _ _ _ lines.

Lines that will never intersect each other and are the same distance apart are called _ _ _ _ _ _ _ _ lines.

A part of a line that has one endpoint and goes on forever in one direction is called a _ _ _ .

When two rays have the same endpoint the form an _ _ _ _ _ .

The common endpoint of an angle is the _ _ _ _ _ _ .

Angles that form square corners are called _ _ _ _ _ angles.

Angles that fit inside a right angle and have a measure less than 90 degrees are called _ _ _ _ _ angles.

Angles that fit between a right angle and a straight line with measures of more than 90 degrees are called _ _ _ _ _ _ angles.

The unit of measure for angles is called a _ _ _ _ _ _ .

A _ _ _ _ _ _ _ _ _ _ is a tool used for measuring the size of the opening of an angle.

A triangle that has at least two sides of equal length is called an _ _ _ _ _ _ _ _ _ triangle.

A triangle in which all sides are of different lengths is called a _ _ _ _ _ _ _ _ triangle.

A triangle that has all three sides of equal length is called an _ _ _ _ _ _ _ _ _ _ _ triangle.

Area Practice!

Find the missing measurement for each area sentence:

Length	Width	Area
7 centimeters	6 centimeters	square centimeters
8 centimeters	centimeters	64 square centimeters
centimeters	9 centimeters	54 square centimeters
13 centimeters	8 centimeters	square centimeters
centimeters	3 centimeters	81 square centimeters
5 centimeters	centimeters	75 square centimeters
4 centimeters	21 centimeters	square centimeters
centimeters	10 centimeters	100 square centimeters

Find the areas to complete this table:

Base	Height	Area of Parallelogram	Area of Triangle
4 centimeters	2 centimeters	square centimeters	square centimeters
6 centimeters	5 centimeters	square centimeters	square centimeters
8 centimeters	3 centimeters	square centimeters	square centimeters
7 centimeters	8 centimeters	square centimeters	square centimeters
5 centimeters	7 centimeters	square centimeters	square centimeters
9 centimeters	9 centimeters	square centimeters	square centimeters

Find the volumes to complete the following table:

Dimensions	Volume
4 by 2 by 2 centimeters	cubic centimeters
8 by 2 by 1 centimeters	cubic centimeters
3 by 2 by 4 centimeters	cubic centimeters
2 by 2 by 6 centimeters	cubic centimeters
2 by 3 by 2 centimeters	cubic centimeters
4 by 3 by 1 centimeters	cubic centimeters

Keep your skills sharp~

Take your pick!

Use mental math, pencil and paper or a calculator to solve each of the following in the most efficient way.

$32, 498 + $17, 120 = n

10 X $28.32 = x

$48.50 divided by 2 = a

$50 - ( $18.25 + $1.75) = s

$195.62 - $147.69 = p

$25 + ($37 - $12) = b

Estimation Practice~

Estimate the following products by rounding each factor to the nearest whole number:

15.3 X 2.8 ~ n

24.8 X 3.2 ~ p

7.2 X 19.7 ~ m

3.6 X 25.4 ~ b

39.6 X 5.9 ~ z

12.2 X 4.1 ~ x

Estimate and then decide which is the correct product:

2.68 X 42.7 = n	Is n = 114.36 or 1,114.36 ?
0.5 X 14.8 = n	Is n = 0.740 or 7.4 ?
0.92 X 4.5 = n	Is n = 4.140 or 41.4 ?
5.3 X 12.07 = n	Is n = 63.971 or 639.71 ?
4.87 X 72.1 = n	Is n = 35.1127 or 351.127 ?
76.2 X 41.4 = n	Is n = 315.468 or 3, 154.68 ?
176.5 X 4.1 = n	Is n = 72.365 or 723.65 ?

Time to be challenged!

The product of two numbers is 90. One number is 2.5 times as great as the other. What are the two numbers?

Ms. Sanchez fills the vending machines at Heights Motel. Every Monday she fills the soft drink machine. She fills the snack machine every third day. She fills the coffee machine every fifth day. She fills all three machines on Monday, August 3. What is the next date on which she will fill all three machines?

Have an old calendar around?

These are zoinks:

242; 143; 132; 484; 561;

These are not zoinks:

450; 144; 133; 494; 566

What makes a zoink a zoink?

What two digit number are all zoinks a multiple of?

At Bev's birthday party, 10 of her friends wore party hats and 8 of her friends used noisemakers. There were 12 guests. How many of her friends wore a hat and used a noisemaker?

Want some more challenge?

Complete each pattern:

0, 1, 1, 2, 3, 5, 8, ,,

0, 1, 4, 9, 16, ,,

0, 1, 8, 27, 64, ,,

If 5 spiders can build 5 webs in 5 minutes, how many webs can 2 spiders spin in 20 minutes?

Find the values of the numbers below:

x x = 64

x x = 1,000

x x = 1,728

The Chungs have four children. Pam is half as old as Kobo. Dan is one third as old as Kobo. Kobo is one year older than Nan. Nan's age is equal to the sum of Dan's and Pam's ages .

How old is each of the four children?

Dan =

Pam =

Nan =

Kobo =

New Math Links!

Geometry Links

The Basics

Three dimensional figures

Angles

Triangles

Identifying Triangles by Angles

Identifying Triangles by Sides

Finding the Third Angle's Measure

Figures and Polygons

This link includes information about quadrilaterals, triangles, and several other less common shapes.

Games/Activities

Basketball Math-Perimeter

Geometry Terms Flashcards

Geometry Concentration Game

Challenge Yourself with These!

Geometry Surveyor Game-Fun!

Everything you want to know about angles!

Area and Perimeter Links

Perimeter of a Square Area of a Square

Perimeter of a Rectangle Area of a Rectangle

Perimeter of a Parallelogram Area of a Parallelogram

Area of a Triangle

Volume Practice

Volume of a Rectangular Prism

Volume of a Cube

Computing Volume

Surface Area Practice

How to Compute Surface Area Practice Computing Surface Area of a Cube Practice Computing Surface Area of a Rectangular Prism

Day 1:	A square with the same perimeter.
Day 2:	A triangle with the same perimeter.
Day 3:	A rectangle with the same length but twice the perimeter.
Day 4:	A rectangle with double the width but the same perimeter.
Day 5:	A square with the same area.
Day 6:	A rectangle of the same area but a perimeter greater than 100 inches.
Day 7:	A rectangle with the same perimeter but an area less a than 50 square inches.
Day 8:	A triangle with one-half the area.

Perimeter of a Square	Area of a Square
Perimeter of a Rectangle	Area of a Rectangle
Perimeter of a Parallelogram	Area of a Parallelogram
	Area of a Triangle

Eight days of geometry fun!

Bob is drawing shapes in the sand. He has drawn a rectangle 16 inches long and 4 inches wide. The sizes of the other shapes he draws are determined from this rectangle. Can you help him find their dimensions?

Students will need to know the following terms:

scalene triangle

a triangle that has no equal sides

isoceles triangle

a triangle with two equal sides

equilateral triangle

a triangle with all three sides equal

obtuse triangle

a triangle whose largest angle is obtuse

acute triangle

a triangle whose angles are all acute

right triangle

a triangle with a right angle

intersecting lines

lines that meet or cross each other

lines which intersect for form right angles