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