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(A) Number, Number Sense and Operations Standard |
(Based on State
of Ohio Curriculum Standards)
1. Identify and
generate equivalent forms of fractions and decimals. For example:
a. Connect physical, verbal and symbolic representations of fractions,
decimals and whole numbers; e.g.,
, ,
“five tenths,” 0.5, shaded rectangles with half, and five tenths.
b. Understand and explain that ten tenths is the same as one whole in
both fraction and decimal form.
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Mathematics in
the Movies - This is a collection of
movie clips in which Mathematics appears in movies.
Interesting idea!!
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Math Dictionary animation for kids This is an outstanding
website allowing you to explore a comprehensive view of math with many
examples 4 Star
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Talking
Calculator
Students will have fun entering number for all areas.
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Sheppard Math
On line and fun site for learning Math Covers a lot of areas
4 Star
- Math Game
sheet 4 Stars
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Math Glossary
Click on this link to illustrate and teach. This link will present
a
Visual
illustration. 4 Star
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Virtual Manipulate
for determining percents. You will find
this extremely helpful for students.
4 Star
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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.
4 Star
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APLUS MATH
You
may get yourself or your class ranked in the state when playing this game.
4 Star
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Fractions
Smart Board this smart board lesson will assist students in learning more
about fractions. Created by Martha Portner SB
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Franctions and groups
This
Smart Board lesson will assist students in learning more about fractions.
Created by
Martha
Portner SB
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Fractions Same parts different wholes
This
Smart Board lesson will assist students in learning more about fractions.
Created by
Martha
Portner SB
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Fraction Bars –
Learn about fractions
using fraction bars.
Virtual
Manipulate
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Fraction Pieces –
Work with parts and
wholes to learn about fractions.
Virtual
Manipulate
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Fractions - Adding – Illustrates what it means to find a common
denominator and combine.
Virtual
Manipulate
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Fractions - Comparing – Judge the size of fractions and plot them on
a number line.
Virtual
Manipulate
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Fractions - Equivalent – Illustrates relationships between
equivalent fractions.
Virtual
Manipulate
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Fractions - Naming – Write the fraction corresponding to the
highlighted portion of a shape.
Virtual
Manipulate
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Fractions - Parts of a Whole – Relates parts of a whole unit to
written description and fraction.
Virtual
Manipulate
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Fractions - Rectangle Multiplication – Visualize and practice
multiplying fractions using an area representation.
Virtual
Manipulate
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Fractions - Visualizing – Illustrate a fraction by dividing a shape
and highlighting the appropriate parts.
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Equivalent
Fractions by Harcourt School Publishers
This online game is a
concentration-style 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. Good
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Virtual
Base Blocks
This
great online manipulative allows you to investigate decimal place value by
placing, moving, breaking, and grouping base blocks to represent whole
number and decimal number place values.
4 Star
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Thirteen Ways of Looking at a Half Explore logical reasoning and
special awareness through geometric shapes. Discover the thirteen ways
half of an eight-piece square can be arranged without rotating or flipping
the pattern
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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.
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Fraction Frenzy!
In this game
students match equivalent fractions. Each round of the game gets more
difficult as more and more fractions are used.
Good
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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. Good
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Rename in
Lowest Terms Circle
In this online activity students are shown a circle with parts shaded in.
First they fill in what fraction is represented by the circle. Then they
rename it in lowest terms. Helpful explanations are on the site as well.
Good
4 Star
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ReviseWise - Fractions
This
web site uses colorful animation and great explanations to teach about
fractions, visualizing fractions, and equivalent fractions. After the
instruction, the students can take an online quiz to assess their
understanding.
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Virtual
Base Blocks - Adding Decimals
This online manipulative allows
students to add decimals using base ten blocks that can be combined and
split. You can do random problems or create your own.
Very good
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Interactive Multiplication Table
This site will display the result by showing the answer to numbers 0 -
12
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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.
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 |
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2. Use place
value structure of the base-ten number system to read, write, represent
and compare whole numbers through millions and decimals through
thousandths.
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Decimals
This interactive mathematics lesson on decimals teaches
students how to round decimals and compare decimal numbers.
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Math Glossary
Click on this link to illustrate and teach. This link will present
a
Visual
illustration.
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Rounding
and Naming Decimals You will find a smart board lesson
illustrating the basic concepts.
SB
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Place
values of hundredths
Smart board lessons illustrating this idea
SB
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Place values to
tenths
Smart board lessons illustrating this idea
SB
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Place value
to thousands
Smart board lessons
illustrating this idea
SB
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Place Values
This web site has 18 lessons on
place value from basic to advanced. Each lesson has an explanation and an
activity for the student to try.
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Big
Numbers
This site
helps you understand place value and how to read and write large numbers.
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Comparing
This
web site offers many lesson on comparing numbers up to the millions. Each
lesson has an explanation and exercises for the student to try.
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Builder Ted game
This is an amusing online game where the student helps a builder fix a
roof that is leaking on his dog by putting whole numbers and decimals in
order. Be sure to pick level one to keep the numbers positive.
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Virtual
Base Blocks
This
great online manipulative allows you to investigate decimal place value by
placing, moving, breaking, and grouping base blocks to represent whole
number and decimal number place values.
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Identify the Place Value
This is a simple interactive
website that displays a random number and has the student identify which
digit is in a specific place value from the millions to
hundred-thousandths place.
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Decimals
(Number Line Placement)
This interactive website gives
students a decimal (from 0.0 to 4.0, expressed to the tenths place) and
has the student drag the number to the correct place on a number line.
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Sorting
Decimals This
interactive website gives the student three decimals (between 0.0 and 1.0,
expressed to the thousandths place) and has them order the numbers by
dragging them to their corresponding marks on a number line.
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3. Round whole
numbers to a given place value.
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Rounding Numbers
In this interactive mathematics lesson, students learn
how to round decimal numbers to the nearest whole number, nearest tenth,
and nearest hundredth using number lines and place values.
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Quiz
Created by
William Kinder
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Math Glossary
Click on this link to illustrate and teach. This link will present
a
Visual
illustration.
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Rounding
Flashcards
This
site lets you pick how large the numbers can be, and then gives you
problems asking you to round to certain place values.
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Rounding
skills Rounding makes numbers easier to work with in your
head. If you do not need an exact number, you can round a number to make
things simple.
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A plus for Math
This website will allow the student to use flash cards to
review for their math. Outstanding
site. 4 Star
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Hangman Rounding
Round each number to the
nearest thousand then add or subtract. The first player who has the
whole body loses.
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4. Identify and represent
factors and multiples of whole numbers through 100, and classify numbers as
prime or composite.
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Multiples Generator
Excel
Spreadsheet will allow you to enter numbers and then see how that number
multiplies.
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Multi bouncy
Precise recall of multiplication
facts.
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Bobber's Farm game at
Fun school This cute
online game teaches about odd and even numbers, prime and composite
numbers, and adding decimals.
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Factorize 2 Learn
about factors through building rectangular arrays on a grid.
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Skip Counting
(Multiples) This
interactive website has the student click on all the multiples of a number
within a 100 grid. Great way to visualize multiplication.
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Skip Counting (Factors)
This interactive website has
the students click on all the factors of a certain number on a 100 grid
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Multiplication Koosh ball game
This
game is geared for any students studying their multiplication facts, but
could be modified for any subject as needed.
SB
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Smart Board Lesson created by
Amy Roberts-Wilson
SB
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5. Use models
and points of reference to compare commonly used fractions. |
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Fractions -
Manipulative
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Fishy Fractions - Comparing Fractions
In this game you help Ulani the
pelican catch fish by comparing fractions in picture form and numeric
form.
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Fraction Pointer
Graphically determine the value of 2 given fractions represented as points
on a number line then graphically find a fraction whose value is in
between the value of the 2 given fractions and determine its value. (Be
sure to click the "How" button to get instructions.)
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Fraction Sorter
Students
represents fractions by coloring in the appropriate portions of either a
circle or a square, then order those fractions from least to greatest. (Be
sure to click the "How" button to get instructions.)
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Sorting
Fractions
This
interactive website gives the student three fractions between 0 and 1, and
has the student order them by dragging the fractions to their correct
locations on a number line.
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No matter what shape your
fractions are in
These
activities use a variety of tangram shapes to show relationships of
fractions compared to a whole.
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Comparing Like Fractions
Comparing Fractions
with the Same Denominator
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Comparing Unlike Fractions Comparing Fractions with Different
Denominators
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6. Use associative and
distributive properties to simplify and perform computations; e.g., use left
to right multiplication and the distributive property to find an exact
answer without paper and pencil, such as 5 x 47 = 5 x 40 + 5 x 7 = 200 + 35
= 235. |
LATTICE
ALGORITHM FOR MULTIPLICATION
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Multiplication -
Manipulative
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ReviseWise - Multiplication Strategies
This web site uses colorful
animation and great explanations to teach about multiplication 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.
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Multiplication
This site will allow you multiply
by a single set of numbers or mixed numbers.
Very good
4 Star
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Division This site will allow you
multiply by a single set of numbers or mixed numbers.
Very good
4 Star
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7. Recognize that division may
be used to solve different types of problem situations and interpret the
meaning of remainders; e.g., situations involving measurement, money. |
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Division timer
fun game You will compete against time to win
this game and perform division at the same time.
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A plus for Math
This website will allow the student to use flash cards to
review for their math. Outstanding
site.
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8. Solve
problems involving counting money and making change, using both coins and
paper bills.
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Change Maker
An online activity from
Fun Brain. Get as much money in your piggy bank as possible, by figuring
out the correct change. Figure out how many of each bill or coin that you
expect to get back when you pay for something. For example, if something
costs $3.75 and you pay with a five dollar bill, you would expect back one
quarter and one dollar bill. If you get the answer correct, the amount of
change is added to your piggy bank. If you get the answer wrong, the
correct amount of change is subtracted from your piggy bank. The more
money you get in your piggy bank, the harder the questions will get.
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Cash Out - You're the cashier at this crazy
store. You need to give change to the customers buying things. Try to sell
as many items as possible before the time runs out.
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Practice Counting Money
In this online game the
student is asked to count out a certain amount of change by dragging
pictures of different coins onto a table. There are three levels of
difficulty. When done click on the person talking to check your answer.
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9.
Estimate the results of computations involving whole numbers, fractions and
decimals, using a variety of strategies. |
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The Machine
Determine what number will appear. Estimate the results
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10. Use
physical models, visual representations, and paper and pencil to add and
subtract decimals and commonly used fractions with like denominators. |
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
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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.
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Bobber's Farm game at
Funschool
This cute
online game teaches about odd and even numbers, prime and composite
numbers, and adding decimals.
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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.
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11. Develop and
explain strategies for performing computations mentally.
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The Distributive Property The
students will utilize the concepts and strategies with an emphasis on
estimating products of multi-digit and 2-digit factors.
4 Star

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Pet Rescue Hotel I
The
students will utilize the concepts and strategies with an emphasis
on estimating products of multi-digit and 2-digit factors.
4 Star
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12. Analyze and
solve multi-step problems involving addition, subtraction, multiplication
and division using an organized approach, and verify and interpret results
with respect to the original problem.
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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.
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Math Playground
(Hoops)
Hoops
provides word problem practice for students in grades 3 to 5. All word
problems use whole numbers only but the problems range from single step
addition to multi-step equations. There are also problems that require
students to interpret remainders.
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13. Use
a variety of methods and appropriate tools for computing with whole numbers;
e.g., mental math, paper and pencil, and calculator. |
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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.
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Work sheet -1
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Work sheet -2
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14. Demonstrate
fluency in adding and subtracting whole numbers and in multiplying and
dividing whole numbers by 1- and 2-digit numbers and multiples of ten.
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The Table Trees
In
this online game students choose a number to serve as a factor in
multiplication tables. Then they fill in the missing number (either the
product or one factor) in the equations.
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Multiplication Hidden Picture
In
this interactive game, students flip tiles to uncover a picture by solving
multiplication problems
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Aplusmath
Lots
of practice with basic math facts using interactive flashcards, games, and
worksheets.
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Math Playground (Hoops)
In this game students choose
easy, medium, and hard addition problems to solve in an Egyptian pyramid
design. When they get 500 points, the mummy's tomb opens.
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Mathblox game
In this online tetris-like
game you match falling blocks to complete basic math problems. You can
choose addition, subtraction, or multiplication, and you can pick how
difficult the problems can be. Great fun and great skill builder!
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Leon's Math Dojo
This
is an online game where you control a martial arts frog and have to kick
the correct answer to a math problem. You can pick the type of problem
(addition, subtraction, multiplication, division, mixed) and the level of
difficulty.
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Captain
Nick Knack
A fun way
to practice multiplication.
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Tic Tac Toe with
basic math facts.
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(B)
Measurement
Standard |
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1. Relate the
number of units to the size of the units used to measure an object; e.g.,
compare the number of cups to fill a pitcher to the number of quarts to fill
the same pitcher. |
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Counting Coins Money -
Manipulative
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Weighing coins
Virtual
Manipulate
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Video on using a Protractor
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Area
- Calculate the Area of a Rectangle.
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Area Explorer - Students are shown shapes on a grid after setting the
perimeter and asked to calculate areas of the shapes.
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Measure it -
practice using a ruler (inches and centimeters)
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Measuring Angles - Investigating angles and the use of a protractor
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Lesson
for Measuring Angles. <------ Lesson plan
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Measuring Tools - Students select measurement tools for real-world
measuring situations. (Author - Sandi King)
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Perimeter Explorer - Students are shown shapes on a grid after setting
the area and asked to calculate perimeters of the shapes.
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Shape Explorer - Students are shown shapes on a grid and asked to
calculate areas and perimeters of the shapes.
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Teaching
Measures – Choose from three modules; length, mass, and capacity. Each
category offers several activities for your large screen display as well
as supporting worksheets.
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2. Demonstrate
and describe perimeter as surrounding and area as covering a two-dimensional
shape, and volume as filling a three-dimensional object. |
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Shape Explorer
In this online activity students
are shown shapes on a grid and asked to calculate areas and perimeters of
the shapes. Good
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Interactive Area/ Perimeter Movie
Students are able to find area &
perimeter interactively with a ruler.
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3. Identify and
select appropriate units to measure:
a. perimeter – string or links
(inches or
centimeters).
b. area – tiles (square inches or square centimeters).
c. volume – cubes (cubic inches or cubic centimeters). |
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Estimating
Customary Length You will use a ruler to measure various
lengths of lines
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Measuring Fractional Parts
You will use a ruler to measure
various lengths of lines
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Capacity
This website will allow you to learn about liquid volume
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Mass
This
website will allow you to learn about Mass
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Plotting to
find the area
This is a smart board
lesson
SB
|
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4.
Develop and use strategies to find perimeter using string or links, area
using tiles or a grid, and volume using cubes; e.g., count squares to find
area of regular or irregular shapes on a grid, layer cubes in a box to find
its volume. |
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Checking your 5 senses challenged This site will
allow you the teacher to show students why they should measure and not allow
for their own senses to always make the correct decision.
4 Star
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5. Make simple
unit conversions within a measurement system; e.g., inches to feet,
kilograms to grams, quarts to gallons.
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Website
Converting between English and Metric measures
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Converting Capacity Units
You will find a rather in-depth Smart
Board Lesson to assist you with this Indicator
SB
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Converting Units of Mass You will find a second smart Board
Lesson to help you in this area
SB
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Units of
Capacity and Volume Use this website to allow you to
determine Metric equivalents.
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Measure length to the nearest centimeter. You will explore a
fine website that will allow you to discover
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Measure length to the nearest inch. You will explore a fine
website that will allow you to discover
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Measurement Fun website to teach simple units of conversions
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Virtual manipulative related to the NCTM Measurement
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Fill and Pour manipulative Your job is to solve problems.
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Customary Units match game
In this "Concentration-style" game
students are given 12 face down tiles with measurements in customary
units. They need to flip over the tiles two at a time and try to match
tiles that have equivalent measures (like "2 ft" and "24 in"). The tiles
are randomly generated so they can replay game over and over.
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Metric Units matching game
In this "Concentration-style" game
students are given 12 face down tiles with measurements in metric units.
They need to flip over the tiles two at a time and try to match tiles that
have equivalent measures (like "100 cm" and "1 m"). The tiles are randomly
generated so they can replay game over and over.
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6. Write, solve
and verify solutions to multi-step problems involving measurement.
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Problem
solving and using time zones. You will find listed below
Quizzes. Each quiz has a question and also the answer. To view
the answer or hint you must highlight it with a different font color.
You may down load the following quizzes for your class.
Quiz 1
Quiz 2
Quiz 3 |
 |
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(C)
Geometry and
Spatial Sense Standard |
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1. Identify,
describe and model intersecting, parallel and perpendicular lines and line
segments; e.g., use straws or other material to model lines. |
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Smart Board lesson This lesson
was designed using Smart Board Technology. Please download the link
above to allow you to utilize this lesson. SB This lesson was
created by: Britany
Woodworth SB
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2. Describe,
classify, compare and model two- and three-dimensional objects using their
attributes.
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Animation is in
Yellow
Activities are in Green
-
Smart Board Lesson -
4 Star
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2-Dimensional Animation In this
animation, students are shown examples of regular and irregular polygons
including triangles, quadrilaterals, pentagons, hexagons and octagons...
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2-Dimensional Shapes
Activity-1 In this
activity, students must correctly match the names of several polygons
with their pictures.
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2-Dimensional Shapes
Activity-2
In this activity, students must correctly sort
a group of regular and irregular polygons according to the number of
sides.
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2-Dimensional Shapes
Activity-3 In this activity,
students must correctly label a group of polygons according to the type
of polygon.
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2-Dimensional Shapes
Activity-4 In this activity,
students must complete sentences that describe the number of sides for
each type of polygon presented.
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3-D Objects and 2-D Shapes Lesson
Activity-5
In this lesson, students sort 2-D shapes according to the number of
sides and describe 3-D objects according to the number of faces, edges
and vertice...
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3-D Objects and 2-D Shapes-Explorer
IActivity-6
in this explorer, students
must complete a variety of tasks dealing with 3-D objects and 2-D
shapes, in the context of a rocket ship in outer space.
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3-D Shapes Activity 1
Activity-7
In this activity, students must correctly match the names
of several 3-D objects with their pictures.
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3-D Shapes Activity 2
Activity-8
In this activity, students must correctly label a
face, edge and vertex on a cube.
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3-D Shapes Activity 3
Activity-9
In this activity, students must determine the number of faces on a cube,
triangular prism and pyramid.
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3-D Shapes Activity 4 Activity-10
In this activity, students must determine the number of
edges on a cube, triangular prism and pyramid.
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3-D Shapes Activity 5
Activity-11
In this activity, students must determine the number of vertices on a
cube, triangular prism and pyramid.
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3-D Shapes Animation 1
In this
animation, students are shown examples of
3-D objects including a cube, prism, pyramid, cylinder, cone and sphere.
-
3-D Shapes Animation 2
In this animation,
students are shown examples of a face, edge and vertex on a cube, prism
and pyramid.
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3-D Shapes Animation 3
FACES
In this
animation, students are shown how to count
all the faces on a cube, prism or pyramid (as chosen by the student).
-
3-D Shapes Animation 4
EDGES
In this animation,
students are shown how to count all the edges on a cube, prism or
pyramid (as chosen by the student).
-
3-D Shapes Animation 5
VERTICES
In this animation,
students are shown how to count all of the vertices on a cube, prism or
pyramid (as chosen by the student).
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Platonic Solids - Virtual Manipulative
This online activity allows you to
experiment with five platonic solids, counting their faces, edges, and
vertices
-
Smart Board
Lesson
This lesson will allow the student to learn the names of
objects. SB Created
by Larry Solomon
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3. Identify
similarities and differences of quadrilaterals; e.g., squares, rectangles,
parallelograms and trapezoids.
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Super
Maths World This is a highly visual game. Students
will be totally engaged. 4 Star
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Polygon Playground
At this interactive
web site you'll find hundreds of polygons to drag anywhere you want.
Explore symmetry, tessellations, and more!
-
Shapes
This website will allow your students to learn all about shapes and have
fun at the same time.
-
Chinese Tangrams Create
your own tangrams using drag and drop shapes - just like Grandfather
Tang's story. You may view a gallery of samples or just create on your
own! New 9-08
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Chinese Tangrams II
Recreate the tangram using shapes. Make a square, swan, cat, dinosaur,
duck, phoenix, or rabbit New 9-08
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Geometric
Shapes - Spatial Learning Drag the puzzle
pieces to create a square. It's not as easy as you think! New
9-08
- Dots
and Squares
Click on the grid to draw one side of a
square. Play against the computer. The object of the game is to be the
player to complete the most squares
New
9-08
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4. Identify and
define triangles based on angle measures (equiangular, right, acute and
obtuse triangles) and side lengths (isosceles, equilateral and scalene
triangles).
|
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Sorting Triangles
This
interactive website begins with an animated review of scalene, isosceles,
and equilateral triangles. Then students get to sort the triangles using
Venn diagrams based upon single and multiple characteristics.
-
Alligator Angles
Cute visual angle identification
4 Star
|
|
5. Describe
points, lines and planes, and identify models in the environment. |
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What's
the Point
Billy Bug This
site will allow students to learn X and Y coordinates.
|
|
6. Specify
locations and plot ordered pairs on a coordinate plane, using first quadrant
points.
|
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Map of Ohio
You
will find a JPEG map of Ohio with coordinate planes for students to learn
from.
-
Discover Ohio Interactive map You may log on to this
site and observe many different levels.
-
Map of North East Ohio
You will find a map with grid lines of this area.
-
Arial View of Schools and Lake County
You will need Smart Board software to
use this lesson. See if you can determine which school or object you
are looking at.
-
Simple Coordinates Game
Students investigate the first
quadrant of the Cartesian coordinate system through identifying the
coordinates of points, or requesting that a particular point be plotted.
(Requires Java)
-
Simple Maze Game
Students investigate the first quadrant of the Cartesian coordinate system
by directing a robot through a mine field laid out on the plane.
(Requires Java)
-
Excel Map
This is an Excel spreadsheet
activity. Eleven sites of interests are shown on a 20 by 20 grid map of a
city. The students are to determine the coordinates of the spots using
Excel's rows and columns. Good activity
for students to work on and printout.
-
Coordinates game This interactive online game
displays a 14 by 14 first quadrant grid and asks the student to find
specified points when given the coordinates
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Coordinates II game
In this online game, the student is
shown a 5 by 5 first quadrant grid. Then a point is shown on the grid and
the student has to identify the coordinates. A new point is given after
each is done.
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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.
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Billy
Bug
Positive and
negative coordinates interactive game
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7. Identify,
describe and use reflections (flips), rotations (turns), and translations
(slides) in solving geometric problems; e.g., use transformations to
determine if 2 shapes are congruent.
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Dam Jammer Game -
Flips and Turns
In
this online game you help Bucky the Beaver to plug holes in the dam by
flipping and rotating basic shapes, and then placing them on the congruent
holes in the dam. Very good site lots of fun!
4 Star
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Translation 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 pre-made activities.
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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 pre-made activities.
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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
pre-made activities.
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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.
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Tessellation Town
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8.
Use geometric models to solve
problems in other areas of mathematics, such as number
(multiplication/division) and measurement (area, perimeter, border).
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(D)
Patterns,
Functions and Algebra Standard |
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1. Use models
and words to describe, extend and make generalizations of patterns and
relationships occurring in computation, numerical patterns, geometry, graphs
and other applications. |
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Pattern Video You will view an outstanding
video on patterns. It not only explains but will allow the student
to answer questions. 4 Start
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Patterns
This lesson allows students to examine both repeating and
growing patterns.
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Fundamentals of Algebra
You will use this Smart Board assignment to illustrate the basic steps in
Algebra. SB
Created: by Dan
Hoffman
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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
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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
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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
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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.
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Power Numbers 1
This site will allow the student to use mathematical
reasoning
4 star
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Power Numbers 2
This site will allow the student to use mathematical
reasoning. This site requires password obtained from site 1
4 star
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Power Numbers 3
This site will allow the student to use mathematical
reasoning. This site requires password obtained from site 2 4 star
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ReviseWise - Number Patterns
This web site uses colorful
animation and great explanations to teach about number patterns. After the
instruction, the students can take an online quiz to assess their
understanding.
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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
Odd
One Out
Find the odd one out from the
very sweet honey bears, it's more difficult than you think! |
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2. Represent
and analyze patterns and functions using words, tables and graphs.
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Create a Bar Graph This wonderful resource is from the
U.S. Department of Education's National Center for Education Statistics (NCES.
After learning the basic principles behind bar graphs, students will
create data (use examples gathered from your classroom, such as the number
of people wearing blue pants today, red shirts, etc.) and then create
their own online graphs.
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ReviseWise - Interpreting Data
This web site uses colorful
animation and great explanations to teach about interpreting different
types of graphs. After the instruction, the students can take an online
quiz to assess their understanding.
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Amblegraph
This
online tools lets you create simple bar charts in your web browser.
Children can use it for very quick surveys or a teacher can use it to
model the construction of a bar graph with a class or group. Most elements
are editable
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Bar Graph this
is an Excel spreadsheet activity for a whole class or individual students.
A generic 8 item bar graph can be dynamically altered with custom data and
labels.
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3. Construct a
table of values to solve problems associated with a mathematical
relationship.
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Logic Zoo
In this online game the
student needs to place fanciful animals into the proper pens at a zoo
based on several attributes. The pens are modeled after Venn diagrams.
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Venn Diagram Shape Sorter
This online activity has the
student sort objects into a Venn diagram based on size, color, and shape.
The can either choose the rules and then do the sorting to match, or they
can do the sorting to try to discover the rules.
very good example
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4. Use rules
and variables to describe patterns and other relationships.
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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.
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Function Machine
Students investigate very simple functions by trying to guess the
algebraic form from inputs and outputs.
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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.
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5. Represent
mathematical relationships with equations or inequalities. |
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6. Describe how
a change in one variable affects the value of a related variable; e.g., as
one increases the other increases or as one increases the other decreases.
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(E)
Data Analysis and Probability
Standard |
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1.
Create a plan for collecting data for a specific purpose. |
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2. Represent
and interpret data using tables, bar graphs, line plots and line graphs. |
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Create a Bar Graph
This wonderful resource
is from the U.S. Department of Education's National Center for Education
Statistics (NCES. After learning the basic principles behind bar graphs,
students will create data (use examples gathered from your classroom, such
as the number of people wearing blue pants today, red shirts, etc.) and
then create their own online graphs.
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ReviseWise - Interpreting Data This web site uses colorful
animation and great explanations to teach about interpreting different
types of graphs. After the instruction, the students can take an online
quiz to assess their understanding.
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Amblegraph
This
online tools lets you create simple bar charts in your web browser.
Children can use it for very quick surveys or a teacher can use it to
model the construction of a bar graph with a class or group. Most elements
are editable.
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3. Interpret and
construct Venn diagrams to sort and describe data. |
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Logic Zoo
In this online game
the student needs to place fanciful animals into the proper pens at a zoo
based on several attributes. The pens are modeled after Venn diagrams.
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Venn Diagram Shape Sorter
This online activity has the
student sort objects into a Venn diagram based on size, color, and shape.
The can either choose the rules and then do the sorting to match, or they
can do the sorting to try to discover the rules.
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4. Compare
different representations of the same data to evaluate how well each
representation shows important aspects of the data, and identify appropriate
ways to display the data.
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Comparing Graphs - Excel Activity This is an Excel spreadsheet
activity. In it three different sets of data (earnings, votes, heights)
are shown with three different types of graphs (line, bar, circle). The
student is to compare the different graphs to determine which is the best
representation.
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5. Propose and
explain interpretations and predictions based on data displayed in tables,
charts and graphs.
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Pie Chart
– Explore percentages and fractions using pie charts.
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Spinners
– Work with spinners to learn about numbers and probabilities.
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6.
Describe the characteristics of a set of data
based on a graphical representation, such as range of the data, clumps of
data, and holes in the data.
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7.
Identify the median of a set of data and
describe what it indicates about the data.
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Mean - Mode - Median Great website to show the
student the difference. Just click on start.
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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.
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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.
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8. Use range,
median and mode to make comparisons among related sets of data. |
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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.
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Mean, Median, and Mode Game
Great game to teach mean, median,
and mode.
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Finding median
Interactive game for finding
the median of a series of numbers. Immediate feedback for student.
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9.
Conduct simple probability experiments and draw conclusions from the
results; e.g., rolling number cubes or drawing marbles from a bag. |
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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.
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10. Represent
the likelihood of possible outcomes for chance situations; e.g.,
probability of selecting a red marble from a bag containing 3 red and 5
white marbles.
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11. Relate
the concepts of impossible and certain-to-happen events to the numerical
values of 0 (impossible) and 1 (certain).
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12. Place events
in order of likelihood and use a diagram or appropriate language to compare
the chance of each event occurring; e.g., impossible, unlikely, equal,
likely, certain.
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13. List and
count all possible combinations using one member from each of several sets,
each containing 2 or 3 members; e.g., the number of possible outfits from 3
shirts, 2 shorts and 2 pairs of shoes.
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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.
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