Operations & Algebraic Thinking
Giuliana has 4 bags with 6 marbles in each bag. How many marbles does she have total?
What is 4 × 6 = 24 marbles.
Gavin has 243 counters. He adds 100 more. What is the new total?
What is 243 + 100 = 343.
Evelyn shades 1 out of 4 equal parts of a shape. What fraction is shaded?
What is 1/4?
Stella reads for 27 minutes and then reads 15 more minutes. How many minutes did she read total?
What is 27 + 15 = 42 minutes.
Sloane names a shape with 4 equal sides and 4 right angles. What shape is it?
What is square?
Adalia arranges chairs in 5 rows with 7 chairs in each row. Write a multiplication equation for the total number of chairs and find the product.
What is 5 × 7 = 35 chairs.
Vada rounds 376 to the nearest ten. What is the result?
What is 376 → 380 (nearest ten).
Paisley and Spencer each eat 1/3 of a pizza. Which fraction shows how much one person ate?
What is 1/3?
Beckham has data: {2, 3, 3, 4}. Lincoln makes a simple bar graph showing these counts. How many more 3s are there than 2s?
What is Counts: 2 appears once, 3 appears twice → two more 3s than 2s (2 − 1 = 1? — correction): There are 2 threes and 1 two, so there is 1 more 3 than 2.
Max draws a polygon with 4 sides. What general category of shapes does it belong to?
What is Quadrilateral?
Owen has 36 stickers. He shares them equally with Freyia and Evylette (3 people total). How many stickers does each person get?
What is 36 ÷ 3 = 12 stickers each.
Gia needs to subtract 159 from 602. Solve 602 − 159.
What is 602 − 159 = 443.
Connor is shown two fractions: 1/2 and 2/4. Are they equal? Explain why or why not.
What is Yes; 1/2 = 2/4 because they represent the same amount.
Arya measures a desk length as 45 cm and a book as 12 cm. What is the combined length if they are placed end to end?
What is 45 + 12 = 57 cm.
Everly partitions a rectangle into 4 equal parts. What fraction is each part? Then draw or describe one part as a fraction of the whole.
What is Each part = 1/4.
Boggs knows that 8 × 6 = 48. Use this to find 48 ÷ 8. What is the missing number in the equation 8 × □ = 48?
What is 48 ÷ 8 = 6; □ = 6.
Xyler multiplies a one-digit number by a multiple of 10: 7 × 60. Find the product using place-value reasoning.
What is 7 × 60 = 420.
Krew partitions a rectangle into 6 equal parts and colors 2 parts. What fraction of the whole is colored? Then express it as a unit fraction times a whole number.
What is 2/6 which simplifies to 1/3; colored = 1/3.
Bruin creates a scaled bar graph where each square = 2 pets. If Mack has 6 squares for pets, how many pets does Mack have?
What is Each square = 2 pets; 6 squares → 6 × 2 = 12 pets.
Giuliana is given a rectilinear figure that can be split into two rectangles: one 3 by 4 and one 3 by 2. What is the total area? (Use decomposition)
What is Area = 3×4 + 3×2 = 12 + 6 = 18 square units?
Lennox solves: "If 4 × □ = 36, what is □?" Then check whether the answer is reasonable by explaining with an array or groups.
What is □ = 9 because 4 × 9 = 36.
Talia needs to add three-digit numbers: 487 + 325. Solve and show how place value helps.
What is 487 + 325 = 812.
Rome must compare 3/4 and 3/8. Which is larger? Explain by reasoning about size (same numerator).
What is 3/4 is larger than 3/8 because with same numerator, larger denominator means smaller parts; compare by thinking 3/4 = 6/8 > 3/8.
Noelle has to find area by counting unit squares. A rectangle is 7 units long and 4 units wide. What is its area in square units?
What is Area = 7 × 4 = 28 square units.
Adalia is asked to find the perimeter of a rectangle with side lengths 9 units and 6 units. What is the perimeter? Then show a rectangle with the same perimeter but different area (describe side lengths).
What is Perimeter = 2(9 + 6) = 30 units. Example same perimeter, different area: rectangle 1×14 has perimeter 2(1+14)=30, area 14 (different from 54).