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Channel: Robert Kaplinsky | Open Middle®
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Maximizing Rectangular Prism Volume Versus Surface Area

Directions: What is the greatest volume you can make with a rectangular prism that has a surface area of 20 square units? HintHint What shape maximizes volume in relation to surface area in rectangular...

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Factoring Quadratics With Undefined C

Directions: Fill in the blanks by finding the largest and smallest integers that will make the quadratic expression factorable. HintHint How would you represent this problem using visually (such as by...

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Line of Reflections on Isosceles Triangles

Directions: How many ways can you determine the location of the line of reflection for isosceles triangle XYZ that maps Point X to Point Z? HintHint How many ways can you determine the location of the...

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Multiplying Decimals Given One

Directions: Use the numbers 1 through 9 at most one time each to make a true statement. HintHint What is the biggest the first number could be and still be less than 10? What can we do to avoid having...

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Decimal Product Close To 50

Directions: Use the numbers 1 through 9 at most one time each so that the product is as close to 50 as possible. HintHint What whole numbers would you multiply to make it as close to 50 as possible?...

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Equality 2

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a true number sentence with the greatest possible value. HintHint What does the equal sign tell you? How do we...

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Interpreting Data

Directions: Make a graph that shows a possible result of 7 students’ favorite color. HintHint How can we tell when a student likes a color? How can we tell how many students like a color? How can we...

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Interpreting Data 2

Directions: Make a graph that shows a possible result of 7 students’ favorite color with red being the most popular color. HintHint How can we tell when a student likes a color? How can we tell how...

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Operations with Time

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to make a time that is 4:37 pm. HintHint How do we find out how many minutes it will be after a certain time? What part of...

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Operations with Time

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to make the latest possible time. HintHint How do we find out how many minutes it will be after a certain time? What part...

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Comparing Fractions

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create two different fractions: one that is less than one half and one that is more than one half. HintHint How can we...

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Comparing Fractions 2

Directions: Use the digits 1 to 9, at most one time each, to fill in the boxes to create a fraction that is as close to 5/11 as possible. HintHint How can we measure the difference between two...

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Pythagorean Theorem

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to find two pairs of possible lengths for the missing sides. HintHint How do we figure out which side length would be...

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Pythagorean Theorem

Directions: Using the digits 0 to 9, at most one time each, fill in the boxes to find the lengths of the missing sides such that the missing leg’s length is as long as possible. HintHint How do we...

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Adding Mixed Numbers 3

Directions: Use the digits 1-9 each once to make a the largest possible sum. HintHint What assumptions are we making about the fractions we are able to use? Do fractions have to be in lowest terms? How...

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Compound Inequalities 1

Directions: Using the digits 1 to 9, at most one time each, make a compound inequality that has the largest interval. HintHint How does changing the coefficient affect the resulting value? How does...

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Compound Inequalities 1

Directions: Using the digits 1 to 9, at most one time each, make two compound inequalities that are equivalent to 2 ≤ x < 4. HintHint How does changing the coefficient affect the resulting value?...

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Decimal Addition 3

Directions: Use the digits 1 to 9, at most one time each, to make a sum with the greatest possible value. HintHint How do you place digits so the sum is less than ten? AnswerAnswer The least possible...

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Decimal Subtraction 2

Directions: Use the digits 1 to 9, at most one time each, to make a difference with the least possible value. HintHint How do you place digits so the difference is less than ten? AnswerAnswer The least...

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Prime Factorization 2

Directions: Using the digits 0 to 9 at most one time each, fill in the boxes to make the greatest possible product. HintHint What digits would make good/bad exponents? What digits would make good/bad...

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