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Name______________________________________________________
Materials:
 Counting manipulatives such as counting bears, unifix cube
 Paper and Pencil if the student chooses
Farmer Brown has 12 cows on his farm. He has 2 pens to hold the cows. What are all the
ways Farmer Brown can fit his cows into the 2 pens?
This task is to help me know what you know and how I can help you. Don’t worry. Try your best.
Name______________________________________________________
Teacher Directions: Hand out the following picture to students and ask how many dinosaurs
there are. Once you have confirmed that there are 35 dinosaurs write the number 35 on the board.
Underline the digit 3 and say, “Use a red pencil and put a circle around what this part of the
number means in the set of dinosaurs.” Next underline the 5 and say, “Use a blue pencil and put
a circle around what this part of the number means in the set of dinosaurs.”
Teacher Directions: Say “compare 21 and 12 using >, <, or =. Explain how you know.”
This task is to help me know what you know and how I can help you. Don’t worry. Try your best.
Name______________________________________________________
Lamar and Siri had some base-ten blocks.
Lamar said, "I can make 124 using 1 hundred, 2 tens, and 4 ones."
Siri said, "I can make 124 using 124 ones."
1. Can you find a way to make 124 using only tens and ones? Can you find a different way?
2. Find as many ways as you can to make 124 using any combination of hundreds, tens, and
ones. Explain how you know you have found all of the ways.
This task is to help me know what you know and how I can help you. Don’t worry. Try your best.
Name______________________________________________________
Rectangle F is divided into 4 equal areas, as shown.
What fraction is represented by the shaded area of Rectangle F? _____________
Rectangle G is divided into 4 equal areas, as shown.
What fraction is represented by the shaded area of Rectangle G? _____________
Is the shaded area of Rectangle F equal to the shaded area of Rectangle G? Explain your
thinking. Use what you know about the area of Rectangle F and Rectangle G to explain.
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Name______________________________________________________
3
Kendrick says that the only way to create a fraction greater than 7 is to make the
denominator less than 7.
Create a fraction that supports Kendrick
Explain why your fraction supports Kendrick
Create a fraction that shows Kendrick is incorrect.
Explain why your fraction shows that Kendrick is incorrect.
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Name______________________________________________________
Rob is calculating the area of this rectangle. His strategy is to multiply the whole numbers
1 1
1
first and then multiply the fractions. Since 3 x 5 = 15 and 3 x 4 = 12, he concludes that the
1
area of the rectangle is 1512 square feet.
Determine the area of the rectangle. Decide if Rob’s strategy is correct. Justify your
thinking.
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Name______________________________________________________
An artist is using red, blue, and greed tiles to create a mosaic.


The ratio of red tiles to total tiles should be 2:5
For every 2 blue tiles, there should be 1 green tile.
Create a mosaic that matches the ratios described for the mosaic.
The artist wants to use 15 red, 20 blue, and 10 green.
Justify if this will work based on the ratios that need to be included.
If it doesn’t work, how many tiles of which colors should be added?
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Name______________________________________________________
Tim makes 80 gallons of paint by mixing 48 gallons of green paint with 32 gallons of blue
paint.
What part of every gallon is from green paint?
The model represents 1 gallon of mixed paint. Color in the number of sections to show
much of the gallon is from green paint.
Tim needed 50 additional gallons of paint. He made 50 gallons by mixing 28 gallons of
green paint with 22 gallons of blue paint.
Justify if this will produce the same color as his 80 gallon mix.
If it won’t, how many gallons of which colors should be added or subtracted to create 50
gallons of the same color as the 80 gallons?
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Name______________________________________________________
Six friends are going to buy pizza. Their choices are to buy 2 medium 10-inch diameter
pizzas for $7.00 each, or 1 large 14-in diameter pizza for $15.00. Both prices include tax
and tip.
The friends agree that their best choice is the one that gives them the most pizza for their
money.
Which is the best choice? Explain your answer.
This task is to help me know what you know and how I can help you. Don’t worry. Try your best.
Name______________________________________________________
f1(x) = (x+12)2+4
f5(x) = −4(x+2)(x+3)
f2(x) = −(x−2)2−1
f6(x) = (x+4)(x−6)
f3(x) = (x+18)2−40
f7(x) = (x−12)(−x+18)
f4(x) = (x−12)2 −9
f8(x) = (24−x)(40−x)
Which of the following could be the function of a real variable x whose graph is shown above?
Explain your thinking.
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Name______________________________________________________
An equation is shown, where a, b, and c are integers.
𝑦 = 𝑎|𝑥 + 𝑏| + 𝑐
Kyle claims that this equation will always have two roots.
Sandy claims that this equation will always have zero roots.
Using integers from -5 to 5 create an equation that supports Kyle’s claim and justify its
validity.
Using integers from -5 to 5 create an equation that supports Sandy’s claim and justify its
validity.
Using integers from -5 to 5 create an equation that disproves Kyle and Sandy. Justify its
validity
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Name______________________________________________________
Consider triangle ABC, where angle C is a right angle.
Decide which possible measure of angle A would fit in the columns below
5°, 15°, 25°, 35°, 45°, 55°, 65°, 75°, and 85°
Justify your group of selections for each column.
cosA < sinA
Justification
cosA = sinA
Justification
cosA > sinA
Justification