The standards for units 8 and 9 are:

 Chapter 18

Measurement and Geometry: Measure, identify and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (straightedge, ruler, compass, protractor)
Mathematical reasoning: Apply strategies and results from simpler problems to more complex problems.
Mathematical reasoning: Use a variety of methods such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to explain mathematical reasoning.

 Chapter 19

Measurement and Geometry: Know that the sum of the angles of any triangle is 180 and the sum of the angles of any quadrilateral is 360 and use this information to solve problems.
Measurement and Geometry: Measure, identify and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (straightedge, ruler, compass, protractor)

Measurement and Geometry: Students identify, describe, and classify the properties of, and the relationships between plane and solid geometric figures.

Mathematical reasoning: Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models to explain mathematical reasoning.

Chapter 20

Measurement and Geometry: Measure, identify and draw angles, perpendicular and parallel lines, rectangles, and triangles by using appropriate tools (straightedge, ruler, compass, protractor)
Measurement and Geometry: Students identify, describe, and classify the properties of, and the relationships between plane and solid geometric figures.
Measurement and Geometry: Students understand and compute the volumes and areas of simple objects.
Number Sense: Add, subtract, multiply and divide with decimals and verify the reasonableness of the results.
Number Sense: Determine when and how to break a problem into simpler parts.

Unit 9

Chapter 21

Measurement and Geometry: Derive and use the formula for the area of a triangle and of a parallelogram by comparing them with the formula for the area of a rectangle.
Measurement and Geometry: Students understand and compute the volumes and areas of simple objects.

Chapter 21

Measurement and Geometry: Construct a cube and rectangular box from two-dimensional patterns and use those patterns to compute the surface area for these objects.
Measurement and Geometry: Visualize and draw two-dimensional views of three-dimensional objects made from rectangular solids
Measurement and Geometry: Students identify, describe, and classify the properties of, and the relationships between plane and solid geometric figures.
Measurement and Geometry: Students understand and compute the volumes and areas of simple objects.
Measurement and Geometry: Understand the concept of volume and use appropriate units in common measuring systems to compute the volume of rectangular solids.
Measurement and Geometry: Differentiate between, and use appropriate units of measures for, two- and three-dimensional objects.
Mathematical reasoning: Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

 

 

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:

= 64

= 1,000

= 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

Area
Lines
Volume
Perimeter
Symmetry
Polygons Defined
Three dimensional figures

 

Angles
Angle Overview
What is an Angle?
Types of Angles-Interactive
Acute Angles
Obtuse Angles
Right Angles
Measuring Angles
Measuring Angles-Interactive
Estimate the Number of Degrees in an Angle-Interactive
 
 Triangles
Types of Triangles
Types of Triangles-Interactive
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

 Polyominoes
Angle Matching
Angle Flashcards
Angle Wordsearch
Angle Concentration
Basic Geometry Terms
Basketball Math-Perimeter
Geometry Terms Flashcards
Geometry Concentration Game
Geometry Surveyor Game-Fun!

 

 

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
 Perimeter-Interactive  Area of a Triangle
Area of Complex Figures-Interactive Area of Triangles-Interactive
Area and Perimeter of Irregular Figures-Interactive Area of Squares and Rectangles-Interactive
Area and Perimeter Word Problems-Interactive Area of Parallelograms and Trapezoids-Interactive

 

 

Volume Practice

 Volume of a
Rectangular Prism
Volume of
a Cube
Computing
Volume
Volume-
Interactive
Volume of Cubes
and Rectangular Prisms-Interactive

 

 

Surface Area Practice

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

 

 

Miscellaneous Geometry Links

What figure is it? Relationships of Lines
Classify Quadrilaterals Lines, Line Segments and Rays
Similar and Congruent Figures Viewed from Different Perspectives
Find the Measure of the Missing Angle Fifth Grade Geometry Lessons-all topics