Numeracy & Place Value
In the number 5,432, if you change the digit in the thousands place to 6, what number do you get?
6,432
What is the sum of 25 and 17, and how can you verify your answer using a different method?
42 (25 + 17 = 42; You can verify by using break apart strategy: 25 + 10 = 35, then 35 + 7 = 42.)
Calculate 6 times 4. What strategy could you use to find this product quickly?
6 × 4 = 24; Strategy: Use skip counting or an array.
If you have a pizza divided into 8 equal slices, what fraction represents the amount if you eat 4 slices? Explain your reasoning.
4/8 or 1/2 (Eating 4 out of 8 slices is 4/8, which simplifies to 1/2.)
How many minutes are there in two hours? Explain how you calculated your answer.
120 minutes (1 hour = 60 minutes, so 2 × 60 = 120 minutes.)
Compare the numbers 3,456 and 3,465. What is the difference in their values?
9
You have 100 and you take away 48. What is the result?
52
Divide 36 by 6. Can you explain how you arrived at your answer using groups?
36 ÷ 6 = 6; You can use equal groups: Divide 36 into 6 equal groups, each group has 6.
Compare 1/4 and 1/3. Which fraction represents a larger part of a whole? Justify your answer.
1/3 is greater than 1/4 (Because a whole divided into 3 parts has larger pieces than when divided into 4.)
If a toy costs $15 and you have $50, how much change will you receive after your purchase? Show your calculation.
$35 (50 - 15 = 35; You subtract to find the remaining amount.)
If you round the number 78 to the nearest ten, what number do you arrive at, and explain your reasoning?
80
If you start with 30 apples and buy 15 more, how many apples do you have? Show your work using an equation.
30 + 15 = 45 apples
You have 5 groups of 3 apples. If you add one more group of apples, how many apples do you have in total? Show your work.
5 × 3 = 15, then adding one more group: 15 + 3 = 18 apples.
Identify and classify a triangle with sides measuring 3 cm, 4 cm, and 5 cm. What type of triangle is it and why?
Right Triangle
Calculate the perimeter of a rectangle with a length of 5 cm and a width of 3 cm. How would you explain your method to a classmate?
Perimeter = 2 × (5 + 3) = 16 cm (Formula: P = 2(l + w).)
Identify the place value of the digit 7 in 7,890 and explain how it contributes to the overall value of the number.
The 7 is in the thousands place, meaning it represents 7,000. It contributes 7,000 to the total number.
After giving 18 candies to her friend, how many candies does Sarah have left from her original 45? Write an equation to represent this situation.
45 - 18 = 27
What is the product of 7 and 8? Describe a real-life situation where you might use this multiplication.
7 × 8 = 56; Real-life example: If you have 7 packs of 8 pencils, you have 56 pencils total.
If a shape is divided into 8 equal parts and 3 parts are shaded, what fraction represents the shaded portion? How would you express this in simplest form?
3/8 (Fraction of shaded parts is 3/8, already in simplest form.)
Given the data set of 5, 8, 6, and 10, what is the average? Describe the steps you took to find this value.
7.25 (Find the average: (5 + 8 + 6 + 10) ÷ 4 = 29 ÷ 4 = 7.25.)
Write the number 2,305 in expanded form on a whiteboard, and then explain what each part of the expanded form represents.
Expanded form: 2,000 + 300 + 5 (Each part represents a place value: 2,000 is two thousands, 300 is three hundreds, and 5 is five ones.)
A book costs $12, and a pen costs $3. If you buy both, how can you represent the total cost using an equation?
$12 + $3 = $15
If you have 42 cookies and 6 friends, how many cookies can each friend receive if you share them equally? What if one friend takes 2 extra cookies?
42 ÷ 6 = 7 (Each friend gets 7 cookies. If one takes 2 extra, they get 9, and others get 7.)
Calculate the area of a rectangle measuring 10 cm in length and 4 cm in width. How does changing the dimensions affect the area?
40 cm
If you have $5 in quarters, how many quarters do you have? Explain how you determined your answer using multiplication.
20 quarters ($1 = 4 quarters, so 5 × 4 = 20 quarters.)