Interesting links
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- 3D Objects Additional
- 3D Objects Recommended
- About Us
- Algebra
- Circles Additional
- Circles Recommended
- Data Analysis
- Fractions & Decimals Additional
- Fractions & Decimals Recommended
- Functions & Equations Additional
- Functions & Equations Recommended
- Geometry
- Graphing Additional
- Graphing Recommended
- Home
- Integer Additional
- Integer Recommended
- Number Sense
- Other Polygons Additional
- Other Polygons Recommended
- Patterns Additional
- Patterns Recommended
- Probability Additional
- Probability Recommended
- Quadrilaterals Additional
- Quadrilaterals Recommended
- Ratio, Proportion, & Percent Additional
- Ratio, Proportion, & Percent Recommended
- Statistics Additional
- Statistics Recommended
- Triangles Additional
- Triangles Recommended
Categories
- 3D Objects Additional
- 3D Objects Recommended
- Circles Additional
- Circles Recommended
- Fractions & Decimals Additional
- Fractions & Decimals Recommended
- Functions & Equations Additional
- Functions & Equations Recommended
- Graphing Additional
- Graphing Recommended
- Integer Additional
- Integer Recommended
- Other Polygons Additional
- Other Polygons Recommended
- Patterns Additional
- Patterns Recommended
- Probability Additional
- Probability Recommended
- Quadrilaterals Additional
- Quadrilaterals Recommended
- Ratio, Proportion, & Percent Additional
- Ratio, Proportion, & Percent Recommended
- Statistics Additional
- Statistics Recommended
- Triangles Additional
- Triangles Recommended
Mathtopia Farm
Use farm plots and crops to learn more about fractions.
Juice Containers
Using models rather than algorithms for computing with fractions.
Camera Lens Aperture
Looking at the inversely proportional relationship between camera aperture and f-stops in photography.
Inversely Proportional
Exploring inverse proportion within the topic of speed and time relationships.
Math and Cookies
Looking at proportion in the context of a friendly argument over sharing cookies.
Volume and Pressure
Looking at how inverse proportion relates to science.
Cliff or Evelyn
Address the role of place value in the algorithm for dividing decimals.
Two Interpretations of Decimal Division
Creating story problems using two different approaches to division.
Partial Products & Decimals
Understanding how the algorithm for multiplying decimals really works.
Decimals as Arrays
Representing decimal products using area models.
Let’s Help Ms. Lee
Considering multiple approaches to a decimal division problem.
Joel’s Solution
Checking the validity of Joel’s decimal division problem.
Two Models of Decimal Division
Explaining decimal division using various representations.
Base-Ten Block Multiplication
Thinking about student understanding of appropriate units.
Mixed Up?
Using mathematics to determine if two drink recipes should taste the same.
Decimal Division
How are the three problems related?
Bigger or Smaller?
Without calculating, determine the smaller product.
Representing Decimals
Using Base-10 blocks to represent decimals.
Fundraising
Comparing four fundraising group results.
Laurel’s Muffins
Reducing a muffin recipe.
Drink Mixes
Mixing juice while working with fractions.
More Fraction Situations
Working with story problems.
Increasing Population
Which city had the greatest percentage increase in population?
Dueling Speakers
Two speakers have different ways to divide fractions. Which one is right?
Another Folder Sale
Determining how many and at what price folders were sold.
Pizza Party
Determining the greatest number of pizzas that the class can purchase.
What Coins?
Using different combinations of coins.
Money Puzzle
Solving problems using different coin valuations.
Broken Calculator Problems
Solving problems with a broken calculator!
Fractional Situations
Solving problems without using any kind of computational algorithm.
What Happens When?
What happens when you multiply and divide fractions?
Estimating the Point
Help Miriam decide if her estimation approach will work for all decimals.
Beaker Comparison
Help Sam and Morgan decide who has more liquid in their beakers.
Exploring Multiplication with Fractions
Exploring the similarities and differences in the steps taken to find the products.
Exploring Division with Fractions
Exploring the similarities and differences in the steps taken to find the quotients.
Smaller Quotient
Determining why the quotient for one problem is smaller than the quotient of another.
3 ÷ ½
Using visual models can help students better understand mathematics problems. Often, using visual models can help students better understand mathematics problems. How can the following drawings be interpreted as showing the quotient for 3 ÷ ½? What real-world problem might go with each of the three diagrams? a) b) c)
Natasha’s Idea
Help decide if Natasha’s idea about dividing fractions is correct.
Jacob’s Idea
Help decide of Jacob’s idea is correct.
Division Pattern
Looking for patterns in division.
The Meaning of 1/3
How can you explain the meaning of 1/3?
How Many Servings?
Help Demetrius and BJ decide how many servings they ate.
Decimal Diagrams
Using diagrams to show factors and products.
Cans and Containers
How many cans does one container hold?
Moving the Point
Why does moving the decimal point work when you multiply decimals?
Fraction Figures
Using basic fraction operations to describe the fraction of shaded figures.
Unit Fractions and Fibonacci
Represent unit fractions as the sum of other fractions.
Pandigital Fraction
Examine situations with fractions that have the property of all digits from 1 to 9.
Paper Folding
Determine the thickness of the folded paper.
Dimes and Quarters
Determine the combination of quarters and dimes in a given amount of money.
Counting Zeros
How many zeros are at the end of a factorial?
Portions of 1000
Which numbers have the digit 7 as at least one of the digits?
Log Cutting
How long does it take to cut a wooden log into a certain number of parts?
Library Fines
Help Minerva understand her charges from the school library.
Mailbox Letters
Find five words that are worth $1.00.
Fractional Triangle
Fill in the circle using fractions so that each side of the triangle will have a particular sum.
Using Up Digits
Find a multiplication sentence using the digits 1, 2, 3, 4, 5, and 6 so that the product is closest to a certain number.
Difficult Change
Can you guess what coins I have if I tell you what I can’t give change for?
Canceling Jumps
Find the value in simplest terms.
The Secret Pocket
How many of each kind of coin does Keith have in his secret pocket?
Bouncing Ball
Determine how many times a ball hits the ground.
Collecting Dimes
How many dimes did the driver receive in his tip?
Spending It All
Help a shopper spend $62.
Adding Fractions
Describe a set of natural numbers that fits a certain description.
Shopping for Plants
Help Mr. Alvarez determine which shop has the better buy on marigolds.
Pricing Notebooks
How much did John and his twin brothers pay for one notebook?
Folders for Sale
Determine how much the manager of a store reduced the price of a folder.
Approximate Digit Use
Use the digits 1, 2, 3, 4, 5, 6, 7, and 8 exactly once to make two decimal numbers whose product equals a particular number.
Growing Tree
After four years, how many feet high was a tree that Mrs. Johnson’s class planted?
Missing Hundreds
Determine the sum of all the digits that could replace the digit d in a given number.
Remainders of Three
Find the remainder when a large number is divided by 3.
Johnny’s Rule
A student has “discovered” a rule for subtracting fractions. Does his method always work?
Digital Fractions
Use the digits 0 – 9 to make the fraction 1/3.
Mysterious Numbers
Discover some strange properties about a mysterious number.
Can You Tell?
Multiplying, dividing, and then comparing fractions.
Where is that fraction?
Look for patterns when multiplying fractions.
Making Unit Fractions
Find two fractions that add up to a unit fraction.
Musical Chairs
Compare various fractions.
Let’s Operate on Fractions!
Using an area model, determine what operation is being performed on these fractions.
Fractional Parts
What fractional part of a given figure is shaded?
Those fractions in between
Find three different fractions between 3/5 and 2/3.
Ordering Fractions
Will a student’s “easy” method to find a fraction between two given fractions always work?
What happens when…?
Look for patterns when you multiply numbers by a number less than one.
Decimal Products
Are the products of repeating decimals always repeating?
Adding Tenths
Think about tenths with a calculator.
Hot Stuff
If you are in Georgia, it should be easy to find the fraction and decimal that says, “I am hot.”
Unit Fractions: Terminating, Repeating or Never-Ending?
Investigate patterns that emerge when unit fractions are converted into decimal form.
Boys and Girls in the Class
Explore the properties of ratio of boys-to-girls in several classrooms.