Directions: Use the digits 1 to 9, at most TWO times each, to create a nine-digit number and it’s corresponding place values.

How do we know what each digit in the nine-digit number represents?

There are many answers. The nine-digit number should use the same digits as the corresponding place values.

Source: Owen Kaplinsky

]]>Directions: Use the digits 1 to 9, at most one time each, to make a true statement.

What digits would be challenging as denominators?

What digits would be challenging as numerators?

What digits would be challenging as numerators?

There are many answers. Here are two possibilities:

2/8 + 1/4 = 3/6

1/2 + 3/9 = 5/6

2/8 + 1/4 = 3/6

1/2 + 3/9 = 5/6

Source: Owen Kaplinsky

]]>Directions: Use the digits 1 to 9, at most one time each, to make a true statement.

What fractions add together to make a whole number?

There are many answers. Here are three possibilities:

8/2 + 9/3 = 7

3/1 + 4/2 = 5

2/4 + 3/6 = 1

8/2 + 9/3 = 7

3/1 + 4/2 = 5

2/4 + 3/6 = 1

Source: Owen Kaplinsky

]]>Directions: Use the digits 1 to 9, at most one time each, to make three equivalent fractions.

What must be true about all three fractions?

There are many answers. Here are three possibilities:

6/8 = 3/4 = 9/12

2/4 = 3/6 = 9/18

2/8 = 1/4 = 9/36

6/8 = 3/4 = 9/12

2/4 = 3/6 = 9/18

2/8 = 1/4 = 9/36

Source: Owen Kaplinsky

]]>Directions: Use the digits 1 to 9, at most one time each, to make 5 prime numbers.

What numbers should not go in the one’s place?

What are the single digit prime numbers?

What are the single digit prime numbers?

There are many answers. Here are three possibilities:

5, 23, 41, 89, 67

5, 83, 61, 29, 47

2, 41, 53, 67, 89

5, 23, 41, 89, 67

5, 83, 61, 29, 47

2, 41, 53, 67, 89

Source: Owen Kaplinsky

]]>Directions: Fill in the boxes below using the digits 1 to 6, at most one time each, to make the largest value for D (the derivative).

What values give an output of 1 or 1/2 to the derivative of sin(x)?

sin^6(x) and f'(4pi/2)…or sin^6(x) and f'(2pi/1)

Source: Chris Luzniak

]]>Directions: Use the digits 1- 9, at most one time each, to fill in the boxes so that the result is as close as possible to the number i.

What could be done to make a multiplication between a number in polar form and a number in Cartesian form easier?

Which angles for polar form might produce a Cartesian form that has a root in it?

Which angles for polar form might produce a Cartesian form that has a root in it?

There are two solutions:

4/8 cis( 6/9 pi) ( sqrt(3) – 1i)

2/4 cis( 6/9 pi) ( sqrt(3) – 1i)

4/8 cis( 6/9 pi) ( sqrt(3) – 1i)

2/4 cis( 6/9 pi) ( sqrt(3) – 1i)

Source: David K Butler

]]>Directions: Use the digits 1 to ,9 at most once each, to fill in the blanks to represent a data set with:

a.The smallest possible interquartile range, largest possible range, and that is skewed right

b. An interquartile range greater than 5, range that is greater than 7, and that is skewed left

What does interquartile range mean? If you wanted a range of greater than 6, what are the possible values for IQ1 and IQ3?

Answers will vary:

a. 1, 2, 3, 4, 9

b. 1, 2, 7, 8, 9

Source: Kerri Swails, Mark Alvaro

]]>Directions: I have a ten-frames that has some counters on it. One row of the frame is full and one is not. What is the largest number I could make? What is the smallest number I could make?

Start by filling in one row of your ten frame with counters.

What does it mean to be the smallest number if one row of the ten frames is full and one is not?

What does it mean to be the smallest number if one row of the ten frames is full and one is not?

Smallest number = 6

Largest number = 10

Largest number = 10

Source: Elizabeth Brandenburg

]]>Directions: Use the whole numbers 1 through 6, at most one time each, to find three side lengths that are two-digits each and form an acute triangle.

How can you make sure that it is a triangle?

How can you use the Pythagorean Theorem to make sure it is an obtuse triangle?

How is the Pythagorean Theorem for an obtuse triangle than the Pythagorean Theorem for a right triangle?

How can you use the Pythagorean Theorem to make sure it is an obtuse triangle?

How is the Pythagorean Theorem for an obtuse triangle than the Pythagorean Theorem for a right triangle?

23, 46, 51

26, 43, 51

(more may be possible)

26, 43, 51

(more may be possible)

Source: Samantha Cruz

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