| Interactive
Manipulatives |
 Visual
Math Learning - lots of lesson,
exercises and games. Good for basics.
FactorGram
- Visualization of prime factorization.
Choose a number and it displays it visually with shapes. Drag
a number onto it and it will visually group the factors. Good
for demonstrating factors.
The
MathWebSite.com - Has many lessons
and tests on all subjects. Good to use with SmartBoards or projectors
to demonstrate for entire class. Has puzzles, games and problem
solving.
MathForum
Math Tools - Very extensive searchable, indexed collection
of math tools. Search by grade and subject and type of tool. If
you register you can save tools you like to use another day.
National
Library of Virtual Manipulatives - Interactive, web-based
virtual manipulatives or concept tutorials.Numbers and operations,
measurement, geometry.
Interactive
Math Activities - Just a few of the activities: Abacus
in Various Number Systems, Equivalent Fractions, Euclid's Game,
Binary Color Device, Merlin's Magic Squares (modular arithmetic,
boolean and linear algebra) and there are almost 300 more!
Math
Archives - many activities, lesson plans, interactive
lessons and games. Flash card type activities.
Number
& Operation Concepts -Fractions, estimation, Venn
diagrams, etc.
Reflect,
Rotate and Flip - A mirroring tool
that allows students to select different shapes and relect, rotate
or flip them. Includes instructions and exploration questions.
Patterns
- a series or pattern is presented and the students must type
in the next 3.
Mean
and Median -
type in data or select some, it will graph it and find the mean
and median. Change some of the data and graph again, note changes.
How does the mean change?
Number
Jump - move a ball along a number
line to smash flies.
NEW !! Illluminations
Activities - Sort by grades 6-8 and topic. A wide variety
of lessons on fractions, geometry, and algebra. An excellent one
called the Volt Meter lets students Use the voltage of batteries
to explore positive and negative numbers. Another lets students
drag the vertices of a triangle with its angles and area displayed
to create new triangles. Students will observe that the angles
change but not the area.
Illuminations
- From NCTM. Includes activities, standards, lessons and weblinks.
Lots here.
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Middle
School Manipulatives (Geometry) - Angles and Pararell
Lines,Congruent Figures and Triangles, Quadrilaterals and Conservation
of Area , Similar Figures ,Circles , Pythagorean Theorem..
Geometry
& Measurement Concepts - area & perimeter
explorers; surface area & volume, angles, tesselations, image
tool
What's
My Angle - Great to use with a projector
to introduce how to measure with a protractor. Also has problems
to test measuring skill.
Cutouts
- Turn a two-dimensinal cutout of a shape into a 3-dimensional
one and rotate it in space. Very cool.
MathsNet
Sketches - What is an isosceles
triangle? Students can pull up a sketch of an isosceles triangle
and manipulate the vertexes. They should notice that 2 of the
sides always stay equal in length. Also has "What is.. a
circle, equilateral triangle, parallelogram, quadrilateral, rectangle,
regular hexagon, square and scalene triangle." Also has "what
is meant by ...parallel, perpendicular, corresponding angles and
alternate angles".
They also have interactive
constructions. They have 3 levels: foundation, intermediate
and advanced. Foundation has 3 sections: points,lines and circles.
Each section has 12 lessons. Students can go at their own speed.
Rectangles
- Examine the relationships between perimeter, area, length, and
width of a rectangle. Draw a rectangle and set perimeter or area
as constant. Then drag the shape and watch how the length and
width change to keep the other factor constant. Excellent to use
with the pig pens problem (see
Tech Library).
Perimeter
- Drag boxes onto the screen creating larger shapes. Calculate
the perimeter and then check your work. Area is also listed.
Exploring
Quadrilaterals: sides and angles -Students
can explore characteristics of parallelograms, quadrilaterasl,
rhombus, squars, trapezoids. The shapes are already drawn with
lengths and angle measures given. Students can drag the shape
to different sizes maintaining their attributes. Questions to
be answered: Are the sides parallel, perpenducular, congruent?
How do the angles relate to each other? A table is included that
students can fill in.
Logo
Park - Using Logo, students can type in commands and create
a triangle, a square, a star, a hexagon and just have some fun
creating some neat designs. Help button teaches the commands.
Isometric
Drawing Tool: 6 Lessons - create solid shapes, rotate
them, calculate area and surface area. Create
a chart finding volume and surface area with 1 cube, 2 cubes,
3 cubes, etc.
Surface
Area and Volume - Work with rectangular or triangular
prism, adjust the length, width and height. Program will give
the volume and surface area. Worksheet to use with interactive
asks questions such as what is the smallest volume, largest volume,
why the surface area is larger than the volume for the smallest
prism, can the volume and surface area be the same value?
How
High? - Pour liquid from one tank
to another. Predict the height of the liquid by using the slider.
Choose from different containers: cone, cylinder or rectangular.
 E-Lab:
Exploring Area - Change the length and width and see how
the area changes. Worksheet to print out to direct the exploration.
(beginning level)
Area
of a Parallelogram - Students can transform a rectangle
into a parallelogram and discover the formula for its area.
Area
of a Rectangle - Drag the length and width and make conclusions
about the area.
Area
of Triangles - Drag a vertex to see if the area changes.
Area
of Parallelograms - Drag a vertex to see when the area
changes and when it doesn't. (If the height and base remain the
same, the area won't change.
Area
of Trapezoids - Drag a vertex to see if the area changes.
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| Percents
& Fractions & Decimals |
Virtual
Manipulative: Percentages - Students
can enter a whole, a part, and'or a percent and see how the quantities
are related.
Fraction
Bars - Students can "break" bars into
fractions, decimals or percents. It's an excellent way to visualize
the connections among these concepts.
Comparing
Fractions & Percents - Lets students visualize fractions
and percents in 4 different ways: pizza slices, subsets of people
in a group, as a partially-filled cup and as pieces of a chocolate
bar. Which is greater: 20% or 3/8? can be easily answered using
this tool. Also have them find equivalent fractions and percents.
Games involving fractions,
percents and decimals
Practice
writing your fraction as a decimal
Rounding
Decimals - Round off to nearest thousand or hundred or
tens or one. 10 problems.
Socks
in the dryer
Strings
in a bag
Three
Door Problem - the Monty Hall problem.
Traffic
Lights - how many stops does the car make?
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Weigh
the WangDoodles - How much
do the Wangdoodles weigh? Compare and estimate sizes then look
for relationships among the three wangdoodles to help you solve
the problem.
NEW !! Algebasics
- Quick tutorials. Takes students through the basics of algebra.
The breadth of the material is divided into sixteen sections,
which begin with, "the basics," and proceed all the way to a section
on applying algebra to real-world situations. For example it shows
how to add numbers with like or different signs.
Coordinate
Graphing - 3 levels. Click on the
correct coordinates for the gopher before he eats all the vegetables.
Quick
3 question Review of slope and x and y-intercept - Students
are shown a graph and are asked for the x or y intercept or slope.
Slope
Intercept Formula practice - Students can use a
slider button to change the slope (m) or the y-intercept (b).
Then they must generalize and write a rule.
Line
Gem - Students pick the equation
that is the line that will intersect the most "gems".
Points for each "hit".
Postie-
A game in which students must substitute for the variable and
determine the value of the expression. The mailman will only deliver
the letter if the answer is correct.
Algebra
interactive activities - Includes: order of operations,
graphing, integers, patterns, variables, solving
equations (4 difficulty levels), exponents and problem solving.
Variable
Math - Choose operations(+, -, *, /) a maximum value and
then try to solve as many equations in the time limit as possible.
High scoring students get in the hall of fame. (Positive values
only)
Algebra
Puzzle - figure out the values of the shapes. For more
advanced learning, write formulas for the shape patterns.
Pan
Balance: Shapes - Calculate the weights of different
shapes by putting on the balance pan. Great opportunity for exploring.
Algebra
Balance Scales – Solve simple linear equations using a
balance beam representation.
Algebra
Balance Scales - Negatives – Solve simple linear equations
using a balance beam representation.
Pan
Balance - allows numeric or algebraic expressions to be
entered and compared. You can "weigh" the expressions you want
to compare by entering them on either side of the balance. Using
this interactive tool, you can practice arithmetic and algebraic
skills, and investigate the important concept of equivalence.
Function
& Algebra Concepts - includes the slope slider
activity that 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.
Function
FLyer - This activity allows
the user to explore the effect of changing constants in most types
of functions including: linear, quadratic, exponential, trigonometric.
Function Machines - Whole
Number Cruncher (* and +, includes data table); Linear
Function Machine (y=mx+b); Function
Machine (y=x (*,-, or +) b; Stop
that Creature guess the functions x+or-b or x*b; What's
the function - good to use in front of the class. You can
choose the type of function and hide it from the students. They
then must guess. You can make them increasingly more difficult.
Another
Function Machine - Student input or random number input.
Choose all types of functions. Show/hide function button. A good
example to use when demonstrating in front of the class.
Online
Math Activities for Algrbra and Pre-Algebra - Many.
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Line
Jumper - 5 Levels from easy to Super
Brain. A math problem (addition and subtraction) is presented.
Students must click on the number line for the correct answer.
Students can visualize and use the number line to get the answer.
Number
Bounce - Make a number sentence using the given 4 numbers
that totals the given sum. Using the number line first and then
write the solution number sentence.
Number
Line - Drag the numbers along a number line. Visuallly
see the answer to the problem, then check to see if you are right.
Excellent to help students visualize addition and subtraction
of integers.
Color Chips:Adding
& Subtracting Integers - Addition
and Subtraction.
Has helpful hints to students.
Basic
Drill: Adding & Subtracting Integers - This
program presents a problem, the student types it in and it will
offer help if wrong.
Flash
Cards for Integers - Students can "flip" the
card over to see the correct answer and then remove "cards"
from the deck when they know it.
Circle
Puzzle ZERO - Move additional integers into the circles
so each circle adds to zero. Not easy but challenging!
Circle
Puzzle 21 - Sum of integers inside the circles must be
21.
Negative
Numbers Game - Can you put these numbers in order? It's
not easy because some are negative. 3 levels of difficulty. Oh
and you are timed.
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