Number, Number Sense and Operations 
(Based on the State
of Ohio Standards) 
1. Demonstrate an understanding
of place value using powers of 10 and write large numbers in scientific
notation. 

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

Quiz Created by:
Allison
Green

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.

Scientific Notation This is a Smart Board activity that is
very well put together.
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. Explain the meaning of
exponents that are negative or 0. 

Exponents This
web site teaches about simplifying exponents and then has an interactive
quiz to test what was learned

Simplifying Negative Exponents This web site teaches about
simplifying integer expressions with negative exponents, and then has an
interactive quiz to test what was learned.

3. Describe differences between
rational and irrational numbers; e.g., use technology to show that some
numbers (rational) can be expressed as terminating or repeating decimals
and others (irrational) as nonterminating and nonrepeating decimals. 
 One line
explanation This is a valued website
that will explain various concepts of rational, national numbers and
Integers plus more

4. Use order of operations and
properties to simplify numerical expressions involving integers,
fractions and decimals.


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

Effects of Parentheses This
is an Excel spreadsheet activity for a whole class or individual
students.

5. Explain the meaning and effect
of adding, subtracting, multiplying and dividing integers; e.g., how
adding two integers can result in a lesser value. 

6. Simplify numerical expressions
involving integers and use integers to solve reallife problems. 

Mrs.
Glosser's Math Goodies  Lesson on Integers This site provides online lessons
for adding, subtracting, multiplying, and dividing integers. It also
offers exercises for the student to do and get immediate feedback.

Amby's Math
Resources  Integers This
site gives explanations of the rules for integers with sample exercises.

7. Solve problems using the
appropriate form of a rational number (fraction, decimal or percent).


8. Develop and analyze algorithms
for computing with percents and integers, and demonstrate fluency in
their use. 

Lesson on Surface Area and
Volume
This site offers a lesson on
surface area and volume, along with an interactive 3D model that the
students can manipulate to learn more about these concepts

9. Represent and solve problem
situations that can be modeled by and solved using concepts of absolute
value, exponents and square roots (for perfect squares). 

Measurement 
1. Select appropriate units for
measuring derived measurements; e.g., miles per hour, revolutions per
minute. 

Composite Math Site
This site is outstanding as it will offer you and your students many
lessons that normally would be difficult for you to create in class.

2. Convert units of area and
volume within the same measurement system using proportional reasoning
and a reference table when appropriate; e.g., square feet to square
yards, cubic meters to cubic centimeters. 

3. Estimate a measurement to a
greater degree of precision than the tool provides. 

Exploring Pi
This
is an Excel spreadsheet activity for the whole class. As students report
measurements on circumference and diameter of objects, the spreadsheet
calculates their ratio and averages them together to approximate pi.

Estimator This
online activity has the student estimate length, quantity, or area. They
can control how close they need to be to the true answer, how difficult
the problem is, and if a grid is given to help with the estimate.

4. Solve problems involving
proportional relationships and scale factors; e.g., scale models that
require unit conversions within the same measurement system. 

5. Analyze problem situations
involving measurement concepts, select appropriate strategies, and use
an organized approach to solve narrative and increasingly complex
problems.


6. Use strategies to develop
formulas for finding area of trapezoids and volume of cylinders and
prisms. 

Volume
Calculate the volume of various
shapes.
SB

The
area of a trapezoid
Learn the formula for finding the
area of a trapezoid, and practice, using examples created for visual and
kinesthetic learners
SB

Area of a parallelogram
Learn the formula
for finding the area of a parallelogram, and practice, using examples
created for visual and kinesthetic learners.
SB

Area
of a Square Learn the formula for finding
the area of a square, and practice, using examples created for visual
and kinesthetic learners
SB

7. Develop strategies to find the
area of composite shapes using the areas of triangles, parallelograms,
circles and sectors. 

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

8. Understand the difference
between surface area and volume and demonstrate that two objects may
have the same surface area, but different volumes or may have the same
volume, but different surface areas.


Lesson
on Surface Area and Volume
This site offers a lesson on
surface area and volume, along with an interactive 3D model that the
students can manipulate to learn more about these concepts.
 Smart Board

9. Describe what happens to the
surface area and volume of a three dimensional object when the
measurements of the object are changed; e.g., length of sides are
doubled. 

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.

Geometry and Spatial Sense 
1. Use proportional reasoning to
describe and express relationships between parts and attributes of
similar and congruent figures. 

Composite Math Site
This site is outstanding as it will offer you and your students many
lessons that normally would be difficult for you to create in class.
 Mathway
This a step by step math solver for General Math, Geometry, Algebra, Pre
Algebra, Trigonometry, Precalculus, Calculus. A great program to
show students step by step directions and also allow a teacher to create
a presentation to be used on their LSD projector. This is a great
tool for facilitating and allowing at teacher to better present their
instruction. 4 Star

2. Determine sufficient (not
necessarily minimal) properties that define a specific twodimensional
figure or threedimensional object. For example:
a. Determine when one set of figures is a subset of another; e.g., all
squares are rectangles.
b. Develop a set of properties that eliminates all but the desired
figure; e.g., only squares are quadrilaterals with all sides congruent
and all angles congruent. 

Shapes
This website will allow your students to learn all about shapes and have
fun at the same time.

3. Use and demonstrate
understanding of the properties of triangles. For example:
a. Use Pythagorean Theorem to solve problems involving right triangles.
b. Use triangle angle sum relationships to solve problems. 

Pythagorean Theorem  Virtual Manipulative
This
online activity allows you to demonstrate the proof of the Pythagorean
Theorem using area models that can be manipulated.

4. Determine necessary conditions
for congruence of triangles. 

Congruent Triangles  Virtual Manipulative
This online activity allows you
to manipulate virtual angles and segments to learn what does and does
not guarantee congruent triangles. The methods covered include SSS, SAS,
ASA, and SSA

5. Apply properties of congruent
or similar triangles to solve problems involving missing lengths and
angle measures. 

Properties of congruent or similar triangles this is a
worksheet format to allow you step by step to solve a problem

6. Determine and use scale
factors for similar figures to solve problems using proportional
reasoning. 

Mathway This a step by step math
solver for General Math, Geometry, Algebra, Pre Algebra,
Trigonometry, Precalculus, Calculus. A great program to show
students step by step directions and also allow a teacher to create
a presentation to be used on their LSD projector. This is a
great tool for facilitating and allowing at teacher to better
present their instruction.
4 Star

7. Identify the line and rotation
symmetries of twodimensional figures to solve problems. 

8. Perform translations,
reflections, rotations and dilations of twodimensional figures using a
variety of methods (paper folding, tracing, graph paper). 

Math Manipulatives  Flips,
Slides, and Turns
This online activity from
Encyclopedia Britanica allows the user to place geometric figures and
then apply reflections, rotations, and translations to them.

Translation Transformation 
Virtual Manipulative
This online activity allows you
to place pattern blocks on a grid and apply a translation to them. You
can do this on your own, or go through three premade activities.

Rotation Transformation 
Virtual Manipulative
This online activity allows you
to place pattern blocks on a grid and apply a rotation to them. You can
do this on your own, or go through three premade activities

Reflection Transformation 
Virtual Manipulative
This online activity allows you
to place pattern blocks on a grid and apply a reflection to them. You
can do this on your own, or go through three premade activities.

Dilation Transformation 
Virtual Manipulative
This online activity allows you
to place pattern blocks on a grid and apply a dilation to them. You can
do this on your own, or go through two premade activities.

TransmoGrapher
Students explore the world of
translations, reflections, and rotations in the Cartesian coordinate
system by transforming squares, triangles and parallelograms.
Parameters: Shape, x or y translation, x or y reflection, angle of
rotation.

Transformation Game
In this interactive online game
you try to move colored shapes into their matching holes by using
reflections, rotations, and translations. The challenge is to use the
least number of moves. You can even move the line of symmetry and point
of rotation.

9. Draw representations of
threedimensional geometric objects from different views. 

Patterns, Functions and Algebra 
1. Represent and analyze
patterns, rules and functions with words, tables, graphs and simple
variable expressions. 
 Super
Maths World This is a highly visual game. Students
will be totally engaged. 4 Star

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
Mathway
This a step by step math solver for General Math, Geometry, Algebra, Pre
Algebra, Trigonometry, Precalculus, Calculus. A great program to
show students step by step directions and also allow a teacher to create
a presentation to be used on their LSD projector. This is a great
tool for facilitating and allowing at teacher to better present their
instruction. 4 Star

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

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.
 Mystery Functions
This is an Excel spreadsheet
activity for the whole class or individual student use. There are 20
different mystery formulas in this spreadsheet. For each one the student
enters several numbers for the "Input" and examines what comes out for
the "Result", trying to determine each function by looking for patterns.

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.

Mathway
This a step by step math solver for General Math, Geometry, Algebra,
Pre Algebra, Trigonometry, Precalculus, Calculus. A great
program to show students step by step directions and also allow a
teacher to create a presentation to be used on their LSD projector.
This is a great tool for facilitating and allowing at teacher to
better present their instruction.
4 Star

Smart Board Algebra Lesson This
lesson has examples and videos.
Smart board manipulativeSB

Algebra Tiles –
Visualize multiplying and factoring algebraic expressions using
tiles.
Algebra Tile manipulative



2. Generalize patterns by
describing in words how to find the next term. 

Composite Math Site
This site is outstanding as it will offer you and your students many
lessons that normally would be difficult for you to create in class.

3. Recognize and explain when
numerical patterns are linear or nonlinear progressions; e.g., 1, 3, 5,
7... is linear and 1, 3, 4, 8, 16... is nonlinear. 

4. Create visual representations
of equationsolving processes that model the use of inverse operations. 

5. Represent linear equations by
plotting points in the coordinate plane. 
 Simple Plot
http://www.shodor.org/interactivate/activities/simpleplot/index.html
Students can plot ordered pairs
of numbers, either as a scatter plot or with the dots connected.

6. Represent inequalities on a
number line or a coordinate plane. 

7. Justify that two forms of an
algebraic expression are equivalent, and recognize when an expression is
simplified; e.g., 4m = m + m + m + m or a · 5 + 4 = 5a + 4. 

Combining like terms
This web site teaches about
combining like terms to simplify expressions and equations, and then has
an interactive quiz to test what was learned.

Simplifying Multiplication
This web site teaches about
simplifying expressions by multiplying algebraic terms with exponents,
and then has an interactive quiz to test what was learned.

Simplifying Using Distribution
This web site teaches about using
the distributive property to simplify alegraic expressions, and then has
an interactive quiz to test what was learned.

8. Use formulas in
problemsolving situations. 

Mathway This a step by step math
solver for General Math, Geometry, Algebra, Pre Algebra,
Trigonometry, Precalculus, Calculus. A great program to show
students step by step directions and also allow a teacher to create
a presentation to be used on their LSD projector. This is a
great tool for facilitating and allowing at teacher to better
present their instruction.
4 Star

9. Recognize a variety of uses
for variables; e.g., placeholder for an unknown quantity in an equation,
generalization for a pattern, formula. 

Mathway This a step by step math
solver for General Math, Geometry, Algebra, Pre Algebra,
Trigonometry, Precalculus, Calculus. A great program to show
students step by step directions and also allow a teacher to create
a presentation to be used on their LSD projector. This is a
great tool for facilitating and allowing at teacher to better
present their instruction.
4 Star

10. Analyze linear and simple
nonlinear relationships to explain how a change in one variable results
in the change of another. 

11. Use graphing calculators or
computers to analyze change; e.g., distancetime relationships. 

Function Flyer
A more advanced version of Slope
Slider, this activity allows the manipulation of the constants and
coefficients in any function thereby encouraging the user to explore the
effects on the graph of the function by changing those numbers.

Slope Slider
the manipulation of a linear
function of the form f(x)=mx+b and encourages the user to explore the
relationship between slope and intercept in the cartesian coordinate
system.

Data Analysis and Probability 
1. Read, create and interpret
boxandwhisker plots, stemandleaf plots, and other types of graphs,
when appropriate. 

Data Analysis You will find a number
of activates using smart board technology that will allow the student to
better learn this indicator.
SB Created
by Michelle Yee

Data Analysis 2 You should
find activates that will help you with this lesson.
SB
Created by Tracy Rulison

2. Analyze how decisions about
graphing affect the graphical representation; e.g., scale, size of
classes in a histogram, number of categories in a circle graph. 

3. Analyze a set of data by using
and comparing combinations of measures of center (mean, mode, median)
and measures of spread (range, quartile, interquartile range), and
describe how the inclusion or exclusion of outliers affects those
measures. 
 Intro to Stats  Mean,
Median, Mode
http://www.shodor.org/interactivate/lessons/sm1.html
This site has a lesson on
statistical analysis of data and includes an interactive activity where
students can manipulate data to see the effect on mean, media, mode,
range, and such.
 ReviseWise  Mode, median,
mean
http://www.bbc.co.uk/schools/revisewise/maths/data/12_act.shtml
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.
 Comparing Data  Excel Activity
This is an Excel spreadsheet activity in which the
student enters data and then the spreadsheet generates several measures
of that data such as mean, median, mode, quartiles, and range. The
student can then investigate the measures to compare the different sets
of data.

4. Construct opposing arguments
based on analysis of the same data, using different graphical
representations. 

Misleading Graphs
This is an Excel spreadsheet
activity for the whole class or individual student use. Two different
bar graphs are made from the same survey of favorite foods. The students
need to determine which graph is more fair and why, by studying the
graphs and altering the data.

5. Compare data from two or more
samples to determine how sample selection can influence results. 

6. Identify misuses of
statistical data in articles, advertisements, and other media. 

Misleading Graphs
This is an Excel spreadsheet
activity for the whole class or individual student use. Two different
bar graphs are made from the same survey of favorite foods. The students
need to determine which graph is more fair and why, by studying the
graphs and altering the data.

7. Compute probabilities of
compound events; e.g., multiple coin tosses or multiple rolls of number
cubes, using such methods as organized lists, tree diagrams and area
models. 

8.
Make predictions based on theoretical probabilities, design and conduct
an experiment to test the predictions, compare actual results to
predicted results, and explain differences. 
 Box Model  Virtual
Manipulative
http://matti.usu.edu/nlvm/nav/frames_asid_146_g_4_t_5.html?open=instructions
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. thoeretical probability, and the
effect of the number of trials on the results.


