Number, Number
Sense and Operations Standard 
(Based on
Ohio State
Curriculum Standards) 
1. Use
scientific notation to express large numbers and small numbers between
0 and 1.


Mathematics in
the Movies  This is a collection of
movie clips in which Mathematics appears in movies.
Interesting idea!!

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

Prime
Numbers  Prime Number Sieve: "Remove all proper multiples of the
next remaining number." Start with the number 2.When all proper
multiples of all numbers in the first row are deleted, the table will
contain only primes.
 Kids Port. Great site to
assist in all areas

Scientific Notation This is a Smart Board activity that is
very well put together.
SB

Origin of Zero
How would math be different without zero? You may
download a quite detailed power point illustrating this point. The
author for this presentation is Michelle Yee.
SB

Scientific
Notation Smart board Assignment.
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. Recognize that natural numbers, whole numbers, integers,
rational numbers and irrational numbers are subsets of the real number
system.


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.

The
Learning Equation Math
Explanation of the Real Number System &
Number Munchers Game (scroll down to Number System Descriptions)

All the rational and irrational numbers
Examples of the subsets of the Real Number System

The
Math forum
Explanation of
Integers, Rational, & Irrational

The
Number System
Explanation of Natural
Numbers, Integers, Rational, & Real

3. Apply order
of operations to simplify expressions and perform computations
involving integer exponents and radicals.


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.

Polynomial Exponents This
web site teaches about simplifying polynomial expressions involving
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.

Simplifying Fractions With Negative Exponents This
web site teaches about simplifying algebraic fractions involving
exponents, and then has a 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.
 Order
of operations Lesson on Order
of Operations with exponents and practice

Smart Board Lesson Created by:
Elaine Tsoumas SB

4. Explain and use the inverse and identity properties and
use inverse relationships (addition/subtraction,
multiplication/division, squaring/square roots) in problem solving
situations.


5. Determine
when an estimate is sufficient and when an exact answer is needed in
problem situations, and evaluate estimates in relation to actual
answers; e.g., very close, less than, greater than.


Math Continuum This web page
will take you and your students to new heights in learning about math.
You only need to click on the hyperlink to explore another dimension.

6. Estimate, compute and solve problems involving rational
numbers, including ratio, proportion and percent, and judge the
reasonableness of solutions. 

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. Find the
square root of perfect squares, and approximate the square root of
nonperfect squares as consecutive integers between which the root lies;
e.g., is between 11 and 12.


Relationship between Squares and Square Root
Squares,
Square Roots, Approximating, & Calculator (scroll down to “Estimate the
Square Root” for an explanation)
 Table
of Squares and Square Roots Using a square root table to
approximate square roots

Square root
flashcards


8. Add,
subtract, multiply, divide and compare numbers written in scientific
notation.



1.
Compare and order the relative size of common U.S. customary units and
metric units; e.g., mile and kilometer, gallon and liter, pound and
kilogram. 

2. Use
proportional relationships and formulas to convert units from one
measurement system to another; e.g., degrees Fahrenheit to degrees
Celsius.

 Practice
converting from one metric unit to another with this java applet (length, area, volume, mass, or time units)

3. Use appropriate levels of precision when calculating with
measurements. 

4. Derive
formulas for surface area and volume and justify them using geometric
models and common materials. For example, find:
a. the surface area of a cylinder as a function of its height
and radius;
b. that the volume of a pyramid (or cone) is onethird of the
volume of a prism (or cylinder) with the same base area and height. 

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.

Area
of a Circle Know and apply measurement formulas to solve
realworld problems that include area of squares, rectangles, triangles
parallelograms, and circles; and area of twodimensional composite
figures of circles, squares, rectangles and triangles.
SB

Area
of a Triangle know and apply measurement formulas to solve
realworld problems that include area of squares, rectangles, triangles
parallelograms, and circles; and area of twodimensional composite
figures of circles, squares, rectangles and triangles.
SB

Determining Areas of shapes
You will find a
smart board lesson to help you in this area of learning
SB

Determining Areas
You
will find a smart board lesson to help you in this area of learning
ou will find a smart board lesson to help you in this area of learning
SB

Determining area of a triangle.
This Lesson will give
you an outstanding presentation of using Smart Board to determine area
ou will find a smart board lesson to help you in this area of learning
SB

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

5. Determine
surface area for pyramids by analyzing their parts. 

6. Solve and
determine the reasonableness of the results for problems involving rates
and derived measurements, such as velocity and density, using formulas,
models and graphs.


7. Apply
proportional reasoning to solve problems involving indirect measurements
or rates.


8. Find the sum
of the interior and exterior angles of regular convex polygons with and
without measuring the angles with a protractor.


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

9. Demonstrate
understanding of the concepts of perimeter, circumference and area by
using established formulas for triangles, quadrilaterals, and circles to
determine the surface area and volume of prisms, pyramids, cylinders,
spheres and cones. (Note: Only volume should be calculated for spheres
and cones.)


Prisms and Cylinders  Activity B Vary the height and
base‑edge or radius length of a prism or cylinder and examine how its
three‑dimensional representation changes. Determine the area of the base
and the volume of the solid. Compare the volume of a skew prism or
cylinder to the volume of a right prism or cylinder.

Pyramids and Cones  Activity B Vary the height
and base‑edge or radius length of a pyramid or cone and examine how its
three‑dimensional representation changes. Determine the area of the base
and the volume of the solid. Compare the volume of a skew pyramid or
cone to the volume of a right pyramid or cone

Circle: Circumference and Area
Resize a circle and compare its radius,
circumference, and area.

10.
Use conventional
formulas to find the surface area and volume of prisms, pyramids and
cylinders and the volume of spheres and cones to a specified level of
precision.



1. Make and test conjectures about characteristics and
properties (e.g., sides, angles, symmetry) of twodimensional figures
and threedimensional objects. 

Platonic Solids  Virtual Manipulative This
online activity allows you to experiment with five platonic solids,
counting their faces, edges, and vertices.

Platonic Solids  Duals The dual of a Platonic solid is
another solid inside the first. The vertices of the inner (dual)
Platonic solid are the center points of each of the surfaces of the
outer Platonic solid.

2. Recognize the angles formed and the relationship between
the angles when two lines intersect and when parallel lines are cut by a
transversal. 

20
Angle Activities
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.

Angles
In this online
activity students are shown two parallel lines cut by one or two
transversals. Then two angles are selected which the student must
identify as acute, right, or obtuse, and then identify the relationship
between them.

Turtle Geometry Using this virtual manipulative you may: Make
a plan for the turtle to travel using different angles.

3. Use proportions in several forms to solve problems
involving similar figures (parttopart, parttowhole, corresponding
sides between figures). 

Math Continuum This web page
will take you and your students to new heights in learning about math.
You only need to click on the hyperlink to explore another dimension.

4. Represent
and analyze shapes using coordinate geometry; e.g., given three vertices
and the type of quadrilateral, find the coordinates of the fourth
vertex.


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

5. Draw the
results of translations, reflections, rotations and dilations of objects
in the coordinate plane, and determine properties that remain fixed;
e.g., lengths of sides remain the same under translations.


Math Manipulative
 Flips, Slides, and Turns
This
online activity from Encyclopedia Britannica 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.

Transmo Grapher
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.

6. Draw nets
for a variety of prisms, pyramids, cylinders and cones.



1. Relate the
various representations of a relationship; i.e., relate a table to
graph, description and symbolic form.

 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

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


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

Algebraic Tiles  This
website will allow you to show students how this works.





Student Resources for Algebra
 Outstanding web
site for teachers and students.

Simplifying Algebraic expressions

2. Generalize patterns and sequences by describing how to
find the nth term. 

Math Continuum This web page
will take you and your students to new heights in learning about math.
You only need to click on the hyperlink to explore another dimension.

Math Sequences
Explanation of sequences (also click on “Key
Points” for additional information)
 The
nth Term
Explanation and examples of nth term


3. Identify
functions as linear or nonlinear based on information given in a table,
graph or equation.


4. Extend the
uses of variables to include covariants where y depends on x.


5. Use physical
models to add and subtract monomials and polynomials, and to multiply a
polynomial by a monomial.


Virtual
Manipulatives  Algebra Tiles
This site lets you
work with online algebra tiles, and includes sample activities for you
to complete.

6. Describe the
relationship between the graph of a line and its equation, including
being able to explain the meaning of slope as a constant rate of change
and yintercept in realworld problems.


7. Use symbolic
algebra (equations and inequalities), graphs and tables to represent
situations and solve problems.


8. Write,
simplify and evaluate algebraic expressions (including formulas) to
generalize situations and solve problems.


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 algebraic
expressions, and then has an interactive quiz to test what was learned.

FOIL Method
This web site
teaches about using the FOIL method to multiply two binomials, and then
has an interactive quiz to test what was learned.

Variables of
Exponents
This web site
teaches about simplifying exponential expressions involving variables,
and then has an interactive quiz to test what was learned.

Polynomial
Exponents
This web site
teaches about simplifying polynomial expressions involving exponents,
and then has an interactive quiz to test what was learned.

Simplifying
Fractions With Negative Exponents
This web site
teaches about simplifying algebraic fractions involving exponents, and
then has a quiz to test what was learned.

9. Solve linear
equations and inequalities graphically, symbolically and using
technology.


Equations
This web site
teaches about solving simple equations and then has an interactive quiz
to test what was learned

10. Solve 2 by 2
systems of linear equations graphically and by simple substitution.


11. Interpret the
meaning of the solution of a 2 by 2 system of equations; i.e., point,
line, no solution.


12. Solve simple
quadratic equations graphically; e.g., y = x^{2} –
16.


13. Compute and
interpret slope, midpoint and distance given a set of ordered pairs.


Slope activity
This web page allows
you to manipulate the slope of a line, or the location of the points on
the line to get a better understanding of slope.

Slopes of Lines
This page from OJK's
Pre calculus Site covers a review of slope, how to find it, diagrams of
lines with different slopes, and some exercises to try.

Slope Slider
This activity allows
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.

14.
Differentiate and explain types of changes in mathematical
relationships, such as linear vs. nonlinear, continuous vs.
noncontinuous, direct variation vs. inverse variation.


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
This activity allows
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.

15.
Describe and
compare how changes in an equation affects the related graphs; e.g., for
a linear equation changing the coefficient of x affects the slope
and changing the constant affects the intercepts.


16. Use
graphing calculators or computers to analyze change; e.g., interest
compounded over time as a nonlinear growth pattern. 

Data Analysis and Probability Standard 
1. Use, create and
interpret scatter plots and other types of graphs as appropriate.


Scatterplot 
Virtual Manipulative
This online activity
allows the user to create scatter plot by adding points to a grid, and
then calculates and displays the line of best fit. The grid size can be
changed fit any activity, and one suggested activity is explained on the
site.

Histograms
This web site
uses clear explanations and diagrams to explain how to read and create
histograms. After the review, the student can take an interactive quiz
over the material

2. Evaluate
different graphical representations of the same data to determine which
is the most appropriate representation for an identified purpose; e.g.,
line graph for change over time, circle graph for parttowhole
comparison, scatterplot for relationship between two variants.


3.
Differentiate between discrete and continuous data and appropriate ways
to represent each.


4. Compare
two sets of data using measures of center (mean, mode, median) and
measures of spread (range, quartiles, interquartile range,
percentiles).


Statistics 
Deviation from the Mean
This study guide
from Encyclopedia Britannica covers several lessons on stats such as
range, inter quartile range, box and whisker plots, and more

5. Explain the
mean's sensitivity to extremes and its use in comparison with the median
and mode.


Intro to Stats 
Mean, Median, Mode
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.

6. Make
conjectures about possible relationship in a scatter plot and approximate
line of best fit.


Data Flyer
Similar to
Function Flyer, but with the capability of plotting data points as well
as a function. Then you can tweak the function to fit the data.

7. Identify different ways of selecting samples, such as
survey response, random sample, representative sample and convenience
sample. 

8. Describe
how the relative size of a sample compared to the target population
affects the validity of predictions.


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.

9. Construct
convincing arguments based on analysis of data and interpretation of
graphs.


10. Calculate the number of possible outcomes for a situation,
recognizing and accounting for when items may occur more than once or
when order is important. 

11.
Demonstrate an
understanding that the probability of either of two disjoint events
occurring can be found by adding the probabilities for each and that the
probability of one independent event following another can be found by
multiplying the probabilities.

