Number, Number
Sense and Operations 
(Based on State of Ohio
Curriculum Standards) 
1. Use models and visual
representation to develop the concept of ratio as parttopart and
parttowhole, and the concept of percent as parttowhole


Teachers Tool box

Math Dictionary animation for kids This is an outstanding
website allowing you to explore a comprehensive view of math with many
examples 4 Star
 Math Game
sheet 4 Stars

Talking
Calculator
Students will have fun entering number for all areas.

Math Glossary
Click on this link to illustrate and teach. This link will present
a Visual
illustration. 4 star

Virtual
Manipulate
for determining percents. You will find this
extremelty helpful for students.
4 Star

Fractions  Parts of a Whole
Relates parts of a whole unit to written description and fraction. Virtual Manipulate

ReviseWise  Percents
This
web site uses colorful animation and great explanations to teach about
percents, visualizing percents, and percent of a number. After the
instruction, the students can take an online quiz to assess their
understanding. The only drawback is the use of English pounds instead of
American dollars. 4 Star

You want to be a Math Millionaire.
All students will enjoy this site as well as teachers. It is fun
to do and see if you can make it to the Millionaire spot.
This
is an
outstanding website. GET YOUR NAME OR CLASS POSTED AS WINNERS!
4 star

Math
Jeopardy Here is a jeopardy game that the
student can play right on the screen by themselves. The highest
score will be posted on the Internet for a few days.
GET YOUR NAME OR CLASS POSTED AS WINNERS!

APLUS MATH
You
may get yourself or your class ranked in the state when playing this game.
4
Star

Mixed Numbers
Improper fractions this smart board will allow students to view how mixed
numbers came about.
SB

Gizmos are fun, easy to use, and flexible enough to support many
different teaching styles and contexts.
You will present to your students a visual animated manipulative
allowing for an easier and faster teaching pedagogy.
You will discover this tool strategically located throughout the
website.



2. Use various forms of
one to demonstrate the equivalence of fractions; e.g., 18/24 = 9/12
x 2/2 = 3/4 x 6/6.

This
tool explores several representations for fractions using adjustable
numerators and denominators. Very easy to work with and visual for
students. Great for
LCD
projectors
4 STAR


Fractions Percents and decimals
Great Smart Board
example in
real life. SB 4 Star

Fractions and Equivalent Fractions This
interactive mathematics lesson reviews concepts such as numerators,
denominators, common fractions, mixed numbers, equivalent fractions, and
improper fractions. The lesson also includes several math problems that
are based on reallife applications of fractions.
This interactive mathematics lesson reviews concepts such as numerators,
denominators, common fractions, mixed numbers, equivalent fractions.

Fractions  Add and Subtract
This interactive mathematics lesson shows students how to add and
subtract common fractions, improper fractions, and mixed numbers. The
concepts of equivalent fractions and lowest common denominator are
explained. This lesson also includes math problems and a math game.

Power Point
on Multiplying fractions.
Download for quicker
presentation.

Fraction Bars Learn about fractions using fraction bars.
Virtual Manipulate

Fraction Pieces
Work with parts and wholes to learn about
fractions. Virtual Manipulate

Fractions  Adding
Illustrates what it means to find a common
denominator and combine. Virtual
Manipulate

Fractions  Comparing
Judge the size of fractions and plot them on
a number line. Virtual
Manipulate

Fractions  Equivalent
Illustrates relationships between
equivalent fractions.
Virtual Manipulate

Fractions  Naming
Write the fraction corresponding to the
highlighted portion of a shape. Virtual Manipulate

Fractions  Visualizing
Illustrate a fraction by dividing a shape
and highlighting the appropriate parts.
Virtual Manipulate

3. Identify and generate
equivalent forms of fractions, decimals and percents.


Comparing and Ordering Fractions
This
lesson teaches students how to compare and order proper fractions. It
also examines the relationship between various fractions. The lesson
includes parent notes, teacher notes, an assessment task, an activity
sheet, and a glossary.
This lesson teaches students how to compare and order
proper fractions. It also examines the relationship between various
fractions.

Fractions Lesson
In this lesson, students work with fractions (halves, thirds, fourths,
fifths and tenths) as part of a region and part of a set. They must
identify the fraction shown by a diagram of a region or a set, and
create a region or a set to illustrate a given fraction. They must also
be able to distinguish between the numerator and the denominator of a
fraction.
In this lesson, students work with fractions (halves,
thirds, fourths, fifths and tenths) as part of a region and part of a
set.

Proper Fractions
This lesson teaches students about the elements of a
proper fraction and the relationship between numerator and denominator.

Equivalent Fractions
This lesson teaches students about equivalent fractions
through a comparison of pictorial and symbolic representations.

Fishy Fractions  Equivalent Fractions
In this game you help Ulani the
pelican catch fish by matching equivalent fractions in their numeric
forms.

Fishy Fractions  Improper Fractions
In this game you help Ulani the
pelican catch fish by matching improper fractions to their equivalent
mixed number form, and vice versa.

Fishy Fractions  Simplest Form
In
this game you help Ulani the pelican catch fish by matching fractions to
their simplest form.

Fishy Fractions  Fraction and Decimal Match
In this game you help Ulani the
pelican catch fish by matching fractions to their decimal equivalent,
and vice versa.

Rename in
Lowest Terms Circle
This
activity allows the user to practice simplifying, converting,
multiplying decimals, percentages and fractions.
The activity is similar to Connect Four, and is designed for two
players. The goal is to have four pieces of the same color connected
either horizontally, vertically, or diagonally. One player uses red
pieces, while the other player uses blue pieces. To earn a piece, you
need to answer a fractionrelated question.

The Decifractator
This
online tool allows the user to easily manipulate the numerator and
denominator in a fraction, and then generates the corresponding decimal.
The ease of manipulation allows students to discover patterns and
relationships.

Equivalent Fractions by Harcourt School Publishers
This
online game is a concentrationstyle game where the student tries to
match pairs of cards that represent equivalent fractions by numbers and
pictures. The cards are randomly generated so each game is new.

4. Round decimals to a given place value
and round fractions (including mixed numbers) to the nearest half.


Decimal Order  Put the sequence of decimal numbers into ascending
order

Spy Guys Interactive  Decimals  Click
Skip Intro,
then select Lessons, and then click on Lesson 1

There Must Be Thousands  Students read, write and identify numerals
to the hundred thousands. (Author  Sandi King)

What's Your Name?  Students know the value of numbers when written
in standard form or expanded notation. (Author 
Sandi King)

Spy Guys Interactive  Ratio

Click Skip Intro, then select
Lessons, and then click on Lesson

Rounding Rap Video
by: Mrs. Kozak and Mrs. Kothera 5th Grade students at Royalview
Elementary

5. Recognize and identify perfect
squares and their roots 

Beat the
calculator Teaches some awesome
shortcuts for squaring numbers.

6. Represent and compare
numbers less than 0 by extending the number line and using familiar
applications; e.g., temperature, owing money 
 Volt
Meter
Use the voltage of batteries to
explore positive and negative numbers.

7. Use commutative,
associative, distributive, identity and inverse properties to simplify
and perform computations. 

Commutative Property This resource from the Mathematics Glossary defines the term
"Commutative Property".
This resource from the Mathematics Glossary defines the term
"Commutative Property".

Associative Property
This resource from the Mathematics Glossary
defines the term "Associative Property".

Distributive Property
This resource from the Mathematics Glossary defines the term
"Distributive Property".

8. Identify and use relationships
between operations to solve problems. 

9. Use order of operations,
including use of parentheses, to simplify numerical expressions. 

Order of Operations
This web site teaches about
simplifying expressions using order of operations, and then has an
interactive quiz to test what was learned.

Lesson on Order of Operations
This is a collection of
online lesson that students can read through with good examples and
explanations of order of operations. Each finishes with an interactive
quiz the student can take right on the web page to see if they
understand the material.

10. Justify why fractions need
common denominators to be added or subtracted. 

Spy Guys Interactive  Ratio

Click Skip Intro, then select
Lessons, and then click on Lesson

11. Explain how place value is
related to addition and subtraction of decimals; e.g., 0.2 + 0.14; the
two tenths is added to the one tenth because they are both tenths 

Virtual Base Blocks  Adding and Subtracting Decimals
This
online manipulative allows students to add and subtract decimals using
base ten blocks that can be combined and split. You can do random
problems or create your own.

12. Use physical models, points of
reference, and equivalent forms to add and subtract commonly used
fractions with like and unlike denominators and decimals. 

Fishy Fractions  Adding and
Subtracting Fractions
In this collection of games you
help Ulani the pelican catch fish by adding and subtracting fractions
and mixed numbers, with common and unlike denominators. Simply choose
the game you want to play.

AAA Math  Fractions
This
site has lessons and exercises on many topics concerning fractions.

AAA Math  Decimals This site has lessons and
exercises for many decimal topics.

Virtual Base Blocks  Adding and Subtracting Decimals This online virtual manipulative
lets the student use base blocks to add and subtract decimals, by
splitting and combining blocks. This is also a great way to visualize
the concepts of decimal place value

Virtual Manipulative  Adding
Fractions
This
interactive web site helps students learn to add fractions. Two randomly
generated fractions are shown along with a visual representation, which
can be manipulated by the student. They have to rename the fractions to
have the same denominator and then add them.

13. Estimate the results of
computations involving whole numbers, fractions and decimals, using a
variety of strategies. 

Rounding and
Estimating games
This site has seven rounding
and/or estimating games that provide good practice and keep track of
progress

Estimation of Quotients
Students
will use base ten blocks to solve division problems while they are
simultaneously using the division algorithm. Students will achieve a
greater understanding of the algorithm and the concept of division of
whole numbers.
4 Star

Space Station Repair
students will use base ten blocks
to solve division problems while they are simultaneously using the
division algorithm. Students will achieve a greater understanding of the
algorithm and the concept of division of whole numbers.
4 Star

Measurement 
1. Identify and select
appropriate units to measure angles; i.e., degrees 

Star Gazing
Help Digit find planets in the night sky using angles, measurement and
estimation via a telescope with this online interactive activity from
PBS Kids.

National Library of Virtual Manipulatives Geoboard
Use
this online circular geoboard to illustrate angles and degrees.

ReviseWise Science  Measure Angles
From the BBC. This website
contains and interactive activity, worksheet and quize pertaining to the
subject "Shape, Space &
Measure: Angles"

2. Identify paths between points on a
grid or coordinate plane and compare the lengths of the paths; e.g.,
shortest path, paths of equal length. 

Plotting to find the area
This is a smart board
lesson
SB

3. Demonstrate and describe the
differences between covering the faces (surface area) and filling the
interior (volume) of threedimensional objects 

Surface Area and Volume
In this online activity students
manipulate dimensions of rectangular or triangular prisms, and watch how
the surface area and volume change.

3D
Boxes
Calculate
how many cubes you need to make the different 3D shapes shown with this
Flash activity

Making Measurements
Finalist in the
2000 STEM Project awards. Four interactive mathematical challenges
inspired by the Weighing and Measuring Gallery at the Science Museum of
London.

Smart Board Lesson Created
by Amy RobertsWilson SB

4. Demonstrate understanding of the
differences among linear units, square units and cubic units. 

5. Make conversions within the same
measurement system while performing computations. 

Jeopardy game This game should
be downloaded in power point. It will cover the following areas:
Polygons, Parameter, Area, Volume.

6. Use strategies to develop formulas
for determining perimeter and area of triangles, rectangles and
parallelograms, and volume of rectangular prisms 

Perimeter and
Area of Polygons
This is a collection of online lesson that students can read through
with good examples and explanations of perimeter and area of many
figures. Each finishes with an interactive quiz the student can take
right on the web page to see if they understand the material.

Measuring
the Area and Perimeter of Rectangles
Amy and her brother, Ben,
explain how to find the area and perimeter of rectangles and show you
how changing the perimeter of a rectangle affects its area. After the
lesson, you have an opportunity to measure the length and width of a
variety of rectangles and calculate the area and perimeter of each.
4
Star

Triangle Explorer
In
this online activity students learn about areas of triangles and about
the Cartesian coordinate system through experimenting with triangles
drawn on a grid.

Interactive Area and Perimeter Activity Students find perimeter and area
for various rectangles and discover there can be more than one correct
answer

Area of a Triangle
This interactive web site shows how the area
formula for a triangle is only dependant upon the base and height. You
can alter the vertex, height, and width to see the effect on the area.

Tables
and Chairs Explore
rectangular and straightline arrangements of tables, calculating the
number of chairs needed to surround different arrangements. This models
the concept of finding the perimeter. Be sure to click the "Help" tab to
get instructions.
(Requires Java)

7. Use benchmark angles (e.g.; 45Ί, 90Ί,
120Ί) to estimate the measure of angles, and use a tool to measure and
draw angles. 

What's My Angle?
This is a great
collection of interactive angle activities including estimating angles,
measuring angles, and creating angles. These are great for individual
student use or a whole class activity. Be sure to click the "Skip Intro"
button to begin using the tools.

Comets game at Funschool
In this online game the
students save the Earth from comets by estimating and measuring angles.

Virtual
Protractor
This interactive website gives the student a randomly generated angle.
The student then needs to move a virtual protractor to measure the angle
to the nearest 5 degrees. Finally the student needs to type in the
measurement (correct spelling required).

Geometry and
Spatial Sense 
1. Draw circles, and
identify and determine relationships among the radius, diameter, center
and circumference; e.g., radius is half the diameter, the ratio of the
circumference of a circle to its diameter is an approximation of pi. 

Mrs. Glosser's Math Goodies  Lesson on Circumference of a Circle
This online lesson
explains the different parts of a circle and how to find the
circumference. Several examples are given and exercises are provided for
the students to do online and get immediate feedback.

2. . Use standard language to
describe line, segment, ray, angle, skew, parallel and perpendicular. 

Addicting Puzzles Great way to relax within the geometry
unit. All these puzzles are very addicting to students, parents, and
teachers.

3. Label vertex, rays, interior and
exterior for an angle. 

4. Describe and use properties of
congruent figures to solve problems. 

5. Use physical models to determine the
sum of the interior angles of triangles and quadrilaterals. 

ReviseWise  Angles
This web site uses colorful
animation and great explanations to teach about types of angles, and the
sum of the angles in triangles and quadrilaterals. After the
instruction, the students can take an online quiz to assess their
understanding.

20 Angle Activates
This is an online collection of
virtual interactive angle activities covering such topics as the sum of
interior and exterior angles in polygons, supplementary angles, angles
created by a transversal, vertical angles, and more

6. Extend understanding of coordinate
system to include points whose x or y values may be negative numbers 

Plot Negative and positive numbers
We will use smart
board software to present this lesson. You will also find a video
to assist with this lesson. SB
Michelle Yee is the author of this this Tutorial
4 Star
a.
Video Excellent Lesson
4 Star

General Coordinates Game
Students
investigate the Cartesian coordinate system through identifying the
coordinates of points, or requesting that a particular point be plotted

Maze Game
Students investigate the
Cartesian coordinate system by directing a robot through a mine field
laid out on the plane

What's the Point?
In
this online activity students identify points on a grid. There are three
difficulty levels being identifying points in the first quadrant,
identifying points on the entire grid, and clicking on the grid to
locate coordinates.

7. Understand that the measure of an
angle is determined by the degree of rotation of an angle side rather
than the length of either side. 

What's My Angle?
This is a great collection of
interactive angle activities including estimating angles, measuring
angles, and creating angles. These are great for individual student use
or a whole class activity. Be sure to click the "Skip Intro" button to
begin using the tools.

8. Predict what
threedimensional object will result from folding a twodimensional net,
then confirm the prediction by folding the net. 

Angles  Students practice their knowledge of acute, obtuse and
alternate angles.

Patterns for Solid Figures  Complete to make a cube figure

Triangle Explorer  Students learn about areas of triangles and
about the Cartesian coordinate system through experimenting with
triangles drawn on a grid.

Cube
 Find out which colors will be on opposite faces of a cube whose faces
are shown unfolded.

Fruity Flip Flop  students must move fruit to form rows of three,
or more, of the same fruit. (Caution:
limit their time on this activity, it can be truly addictive!)

Wrapping Paper Patterns  Students decide which figures would result
from a flip, a slide, or a turn. (Author  Paulette
Boggs)

Patterns,
Functions and Algebra 
1. Justify a general rule for a pattern
or a function by using physical materials, visual representations,
words, tables or graphs 

Super
Maths World This is a highly visual game. Students
will be totally engaged. 4 Star

Fundamentals of Algebra
You will use this Smart Board assignment to illustrate the basic
steps in Algebra. SB
Created: by Dan
Hoffman

Algebraic
Reasoning
Learn how to think algebraically with these clever weighing scales. Levels
1 and 2 contain two scales. Level 3 is more difficult and has three
scales. Your goal is to determine the weight of one or more of the objects
4 Star

Algebra
Puzzle
Find the value of each of the
three objects presented in the puzzle. The numbers given represent the
sum of the objects in each row or column. Sometimes, only one object
will appear in a row or column. That makes the puzzle easier to solve.
Other times, you will have to look for relationships among the objects.
4
Star

Weigh the
Wangdoodles
Your
job is to find the weight of each Wangdoodle using the information
provided
by the scales. To be successful, you will have to make sure
that the weight you assign to each Wangdoodle works on each scale. This
activity is a fun but challenging introduction to multiple algebraic
equations.
4
Star

Decoder Badge
Badge 
Dial
(Christmas
Story) We have provided a version of the printable 1936 decoder badge LITTLE ORPHAN ANNIE.
This version is for those who want to start decoding quickly. Just
cut out the number disc, pin it to the front of the badge and away you go.
I have provided the two parts. Great way to have you're kids learn
patterns.

Power Numbers 1
This site will allow the student to use mathematical
reasoning
4 star

Power Numbers 2
This site will allow the student to use mathematical
reasoning. This site requires password obtained from site 1
4 star

Power Numbers 3
This site will allow the student to use mathematical
reasoning. This site requires password obtained from site 2 4 star

Whole Number Cruncher Similar to the original "Function
Machine" but lists input and output in a table and will not let the user
attempt to guess the rule on without at least having two data points.

Find the Rule Game
This
Cyberchase game has the player create the rule for each set of numbers.


Odd One Out
Find the
odd one out from the very sweet honey bears, it's
more difficult than you think!

2. Use calculators or computers to
develop patterns, and generalize them using tables and graphs. 

Function Machine
This
online tool has you put in a number, and then it spits out a result.
Your goal is to determine what the function machine is doing to the
number. You can choose the type of function it uses or let it be random.

Calculator
You may download
a freeware calculator listed on the left and install for learning this standard and
indicator. ( Right click
on the word Calculator and save as) This should take a maximum of
2 minutes if
you are using a T1 line, Cable or DSL. This calculator will
allow you to learn and understand how you use a calculator and be able to
printout a hard copy of your results. This is a very useful.
technique illustrated at this grade standard and also 5th grade. You have two worksheets you may use.
I will create more if time permits.

Work sheet 1

Work sheet 2

3. Use variables as unknown
quantities in general rules when describing patterns and other
relationships. 

Function Machine
Students investigate very simple
functions by trying to guess the algebraic form from inputs and outputs

4. Create and interpret the
meaning of equations and inequalities representing problem situations. 

ReviseWise  Problem Solving
This web site uses
colorful animation and great explanations to teach about problem solving
strategies. After the instruction, the students can take an online quiz
to assess their understanding. The only drawback is the use of English
pounds instead of American dollars.

5. Model problems with
physical materials and visual representations, and use models, graphs
and tables to draw conclusions and make predictions. 

Data Analysis
and Probability 
1. Read, construct and
interpret frequency tables, circle graphs and line graphs. 

Pie Chart  Virtual Manipulatives This online manipulative allows
the user to create a colorful pie chart with up to eight different
categories. Suggested activities are included on the site.

2. Select and use a graph
that is appropriate for the type of data to be displayed; e.g.,
numerical vs. categorical data, discrete vs. continuous data. 

3. Read and interpret increasingly
complex displays of data, such as double bar graphs. 

Weighing coins
Virtual
Manipulate

4. Determine appropriate data to be
collected to answer questions posed by students or teacher, collect and
display data, and clearly communicate findings. 

5. Modify initial conclusions, propose
and justify new interpretations and predictions as additional data are
collected. 

6. Determine and use the range, mean,
median and mode, and explain what each does and does not indicate about
the set of data. 

Mean  Mode  Median Great website to show the
student the difference. Just click on start.

ReviseWise  Mode, median, mean This web site uses colorful
animation and great explanations to teach about mean, median, and mode.
After the instruction, the students can take an online quiz to assess
their understanding.

Smart
board
Play a game that will allow you to focus on many different areas of math
SB

7. List and explain all possible
outcomes in a given situation. 

Disguise Combos game
In this online interactive game
the student determines by experiment how many possible disguise
combinations there are, given several pieces to work with. After each
round, the mathematical formula for combinations is used for the
problem.

8. Identify the probability of events
within a simple experiment, such as three chances out of eight.


Spinners
Work with spinners to learn about numbers and probabilities.

9. Use 0, 1 and ratios
between 0 and 1 to represent the probability of outcomes for an event, and
associate the ratio with the likelihood of the outcome. 

10. Compare what should happen
(theoretical/expected results) with what did happen (experimental/actual
results) in a simple experiment. 

Box Model  Virtual Manipulative
This
online activity models a probability experiment of pulling numbers from
a box. First, the user decides which numbers, and how many of each, are
in a box. Then the computer begins randomly drawing numbers and keeping
totals. Superimposed can be a graph of the expected theoretical
probabilities. This is excellent to show real v. theoretical
probability, and the effect of the number of trials on the results.

11. Make predictions based on experimental
and theoretical probabilities. 

Mathprobability This interactive web site
introduces the concept of probability and covers such terms as
experiment, outcome, and event. At the end, students can take a quiz
online to test what they learned.
