Patterning & Algebraic Reasoning
Use a part‑whole strategy. What is 257 + 142?
399
What is a unit fraction? Give an example using denominator 4.
1/4
One Fourth
What time is shown if the analog clock hour hand is just past 2 and the minute hand is on the 3?
2:15
If one square unit tile is used, how many tiles cover a rectangle that is 3 units by 4 units? What is the area?
12
What is 1,000 − 390?
1000 - 300 = 7000
7000 - 90 = 6910
Write a fraction equal to 1/2 with denominator 8.
4/8
If a movie starts at 1:00 p.m. and lasts 2 hours, what time does it end?
3:00 p.m.
A rectangle has length 6 and width 2. What is its perimeter and what is its area?
Perimeter: 6 + 6 + 2 + 2
Area: 6 x 2 = 12
Write the product of 7 and 6.
42
How to represent 5/4 as a mixed number instead of an improper fraction.
1 whole and 1/4
Choose the best unit to measure a glass of milk from this list: cups, gallons, tons.
Choose the best unit to measure a full bathtub of water from this list: cups, gallons, tons.
milk = cups
bathtub = gallons
Draw or describe how to show two perpendicular line segments. Name the angle formed.
T
Right Angle
Fill the blank to make a true equation: 548+n = 950. What is n?
950 - 548 = 402
n = 402
Which is larger, 1/3 or 1/4? Explain briefly.
1/3 is larger because it is partioned into larger peices than 1/4
You measured a ribbon that is 3 and a half inches. Write this length as a mixed number and as an improper fraction.
3 and 1/2
7/2
A shape is made of two rectangles: one 3 by 4 and one 2 by 4 attached together. What is the total area?
3 x 4 = 12
2 x 4 = 8
12 + 8 = 20
Emma had 253 stickers. She gave 122 to friends and then bought more so she had 300 stickers. What number did she buy? Represent with an equation using a letter for the unknown and solve.
253 - 122 = 131
131 + s = 300
300 - 131 = s
s = 169
List two fractions equivalent to 2/3
4/6, 6/9, 8/12, 10/15, etc.
A dot plot shows how many books 6 students read last month: 2, 3, 5, 2, 4. What is the mode and the median?
Mode = 2
Median = 3
2, 2, (3), 4, 5
Find the total area of a rectangle that is 12 by 5 and a square that is 5 by 5.
12 x 5 = 60
5 x 5 = 25
60 + 25 = 85