Multiples & Fractions
A number that is the result of multiplying two or more numbers.
What is a multiple?
The result of multiplying two numbers together.
What is the product?
The number you are dividing.
What is the dividend?
A number that represents part of a whole.
What is a fraction?
A shape with three sides.
What is a triangle?
The result of adding numbers together.
What is the sum?
A number that divides another number evenly with no remainder.
What is a factor?
A number that is multiplied by another number.
What is a factor?
The number you divide by.
What is the divisor?
The top number in a fraction.
What is the numerator?
A four-sided shape with opposite sides equal and parallel.
What is a parallelogram?
The result of subtracting one number from another.
What is the difference?
This is the greatest factor shared by 24 and 36.
What is 12?
Solve: 34 × 6 using a strategy (partial products or area model).
What is 204?
Solve: 144 ÷ 12.
What is 12?
Which is larger: 3/4 or 5/8? Explain using a common denominator or model.
What is 3/4?
Find the perimeter of a rectangle with length 12 and width 5.
What is 34 units?
Solve: 506 + 289 using place value reasoning.
What is 795?
A number is a multiple of both 6 and 8 and less than 50. Give one possible answer.
What is 24 (or 48)?
A student says 25 × 16 = (25 × 10) + (25 × 6). Explain why this works.
What is distributive property explanation?
A student says 156 ÷ 12 = 10 remainder 36. Explain their error.
What is remainder must be less than divisor? (13)
A recipe uses 2/3 cup of sugar. You double it. Explain how much sugar is needed.
What is 4/3 or 1 1/3 cups?
Explain how area and perimeter are different using the same rectangle.
Perimeter measures boundary, area measures space inside
Explain why 500 – 298 can be solved by finding the distance between numbers.
What is counting up strategy?
Explain why 45 is not a multiple of 8, using division reasoning.
What is 45 ÷ 8 = 5 remainder 5, so it is not a whole number multiple?
Compare 18 × 25 and 9 × 50. Are they equal? Justify.
What is yes, both equal 450?
You divide 245 by 5 and get 49. Explain how multiplication can prove this answer is correct.
What is 49 × 5 = 245?
Place 2/5, 3/10, and 4/5 in order from least to greatest and explain.
What is 3/10, 2/5, 4/5?
A square has area 64. Find the side length and explain reasoning.
What is 8 units?
A student says 402 – 187 = 385. Identify and correct the mistake.
What is 385 is too large because subtracting should make the number smaller; the correct answer is 215?
Two numbers have a greatest common factor of 6 and a least common multiple of 72. If one number is 18, find the other.
What is 24?
A rectangular array has 24 rows and 18 columns. Explain two different strategies to find the total number of objects.
What is 432 with explanation (breaking apart or area model)?
A school groups 378 students into equal teams of 9. Explain how you would solve and interpret the result.
What is 42 teams?
Explain why 6/8 and 3/4 are equivalent using a visual or multiplication strategy.
What is divide numerator/denominator by 2?
Two rays form an angle. If one angle measures 120°, is it acute, right, or obtuse? Explain how you know.
What is an obtuse angle, because it is greater than 90° but less than 180°?
Maria had 85 stickers. She gave 27 to a friend and then bought 14 more. How many stickers does she have now?
What is 72 stickers?
Create two numbers with a GCF of 4 and LCM of 48, and justify your answer.
What are 12 and 16 (or other valid pair with explanation)?
A store sells boxes in groups of 12. If 48 boxes are sold each day for 7 days, explain two methods to find the total.
What is 4,032 boxes with explanation?
A teacher has 53 pencils and wants to give each student 8 pencils. How many students can she give pencils to, and what happens to the pencils left over? Explain what the remainder means.
What is 6 students with 5 pencils left over; the remainder represents pencils that cannot be evenly distributed?
A student claims 2/3 + 1/4 = 3/7. Identify and explain the mistake.
What is need common denominator (11/12)?
The hands of a clock make a straight line at 6:00. What type of angle is formed, and what is its measure?
What is a straight angle, 180°?
A number is increased by 245 and then decreased by 180. The result is 500. Find the original number and explain reasoning.
What is 435?