First Grade Student sheets for Exemplars
Please read through the whole Exemplar problem on the Insider before giving your
students an Exemplar constructed response task. Many problems require
manipulatives in addition to the worksheets.
The following document was created to provide teachers with student sheets for
the more assessable and more challenging versions of the Exemplars. In the
following document, the first sheet for each problem is the task, the second sheet
is the more accessible version, and the third sheet is the more challenging version.
Exemplars with Corresponding Units
Birthday Gift Shopping, CD 1, Use with units 3 or 4
Bug Watching, CD 1, Use with units 3 or 10
Clay Pots, CD 1, Use with unit 1
Coin Combinations, CD 1, Use with unit 4
Frog and Toad, CD 1, Use with unit 5
Hamsters, CD 1, Use with unit 2
Hats and Scarves, CD 1, Use with unit 5
Hot Chocolate, CD 1, Use with unit 8
In Line, CD 1, Use with unit 3
License Plates, CD 1, Use with unit 3
Making a Necklace, CD 1, Use with unit 3
Mr. Frye’s Lambs, CD 1, Use with units 1 or 2
Muffins, CD 1, Use with units 4 or 8
Number Cube Game, CD 1, Use with unit 1
Octopus, CD 1, Use with units 3, 6, 7, 9, or 10
Paleontologist, CD 1, Use with unit 7
Pentomino Problem, CD 1, Use with unit 2
Pig Pens, CD 1, Use with unit 7
Pizza Party, CD 1, Use with unit 9
Snail Trails, CD 1, Use with unit 2
Stacking caps, CD 1, Use with unit 3
Ten Feet Apartment, CD 1, Use with unit 8
Wrist circumference, CD1, Use with unit 4
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
page
2
5
8
11
14
17
20
23
26
29
32
35
38
41
43
46
49
52
55
58
61
64
67
1
Exemplars
Birthday Gift Shopping
You have 13 cents to spend at the store on gifts
for your friend’s birthday. Show by writing
and/or drawing what you would choose to buy
from the product list if you spend all 13 cents.
(See the product list below for items.)
Can you show more than one way? Write number
sentences that show your answer(s).
1¢
4¢
2¢
5¢
7¢
6¢
3¢
2
Exemplars
Birthday Gift Shopping
You have 13 cents to spend at the store on gifts
for your friend’s birthday. Show by writing
and/or drawing what you could buy with 13 cents.
1¢
4¢
2¢
5¢
7¢
6¢
3¢
3
Exemplars
Birthday Gift Shopping
You have 13 cents to spend at the store on gifts
for your friend’s birthday. Show by writing
and/or drawing all of the different ways to spend
13 cents. Note: You may only buy one of each
item.
1¢
4¢
2¢
5¢
7¢
6¢
3¢
4
Exemplars
Bug Watching
I went bug watching every day after school for a
week.
On Monday I saw one bug.
On Tuesday I saw two bugs.
On Wednesday I saw three bugs…
On Friday, after I went bug watching I said,
“Wow! It’s a pattern!”
How many bugs did I see that week?
Use pictures, numbers, and words to solve this
problem.
5
Exemplars
Bug Watching
I went bug watching every day after school for a
week.
On Monday I saw one bug.
On Tuesday I saw two bugs.
On Wednesday I saw three bugs.
If this pattern continues, how many bugs will I
see on Thursday, Friday, Saturday, and Sunday?
6
Exemplars
Bug Watching
I went bug watching every day after school for a
week.
On Monday I saw one bug.
On Tuesday I saw three bugs.
On Wednesday I saw five bugs…
On Sunday, after I went bug watching I said,
“Wow! It’s a pattern!”
How many bugs did I see that week?
Use pictures, numbers, and words to solve this
problem.
7
Exemplars
Clay Pots
3 Native Americans have made 6 clay pots. Show
how many each could have made.
8
Exemplars
Clay Pots
There is one clay pot hidden inside each of the
teepees below. How many clay pots are there in
all?
9
Exemplars
Clay Pots
There were three Native American Indians that
made 6 clay pots. Show how many each could
have made. Be sure to show all of the options.
10
Exemplars
Coin Combinations
If you needed to buy the following items, how
many different combinations of coins can you
make to equal the total amount?
(5 price tags are shown with the following prices:
10 cents, 12 cents, 3 cents, 7 cents, and 2 cents.)
11
Exemplars
Coin Combinations
Show the coins you would need to buy the
following items.
(5 price tags are shown with the following prices:
10 cents, 12 cents, 3 cents, 7 cents, and 2 cents.)
12
Exemplars
Coin Combinations
Show all the different coin combinations that
equal 34 cents.
13
Exemplars
Frog and Toad
Frog and Toad want to plant a garden. They have
5 tomato plants, 6 pepper plants, 7 onion plants,
and 6 corn plants. There is only room for 6 plants
in each row. How many rows will Frog and Toad
need in the garden?
14
Exemplars
Frog and Toad
Frog and Toad want to plant a garden. They have
5 tomato plants, 6 pepper plants, 7 onion plants,
and 6 corn plants. How many plants in all?
15
Exemplars
Frog and Toad
Frog and Toad want to plant a garden. They have
5 tomato plants, 6 pepper plants, 7 onion plants,
and 6 corn plants. If they want to plant the same
number of plants in each row, how many rows
could they have? Show all of the different ways.
16
Exemplars
Hamsters
Sam’s hamster, Applesauce, had 8 babies. There
were 4 males and 4 females. When they were 6
weeks old, the females each had 6 babies, 3 males
and 3 females. This time Sam knew he had to
separate them as soon as they were old enough.
The pet store owner told him to put them in
separate cages for 4 weeks. How many cages will
Sam need if he wants females and males in
different cages? The pet store owner also told
him there should be no more than 3 hamsters in
each cage. Show your cages below. Please explain
how you got your answer.
17
Exemplars
Hamsters
Sam’s hamster, Applesauce, had 8 babies. There
were 4 males and 4 females. When they were 6
weeks old, the females each had 6 babies: 3
males and 3 females each. At this point, how
many hamsters are there in all?
18
Exemplars
Hamsters
Sam’s hamster, Applesauce, had 8 babies.
There were 4 males and 4 females. When
they were 6 weeks old, the females each had
6 babies, 3 males and 3 females. This time
Sam knew he had to separate them as soon
as they were old enough to avoid future
litters. The pet store owner told him to put
them in separate cages for 4 weeks. What
are the least number of cages Sam will need?
What are the most number of cages Sam will
need? Please explain how you got your
answer.
19
Exemplars
Hats and Scarves
How many different snow persons can you draw
with a red or green hat and a blue or orange
scarf?
20
Exemplars
Hats and Scarves
Using the worksheet provided, how many
different snow persons can you draw with a red
or green hat and a blue or orange scarf?
21
Exemplars
Hats and Scarves
How many different snow persons can you draw
with a red or green hat and a blue or orange
scarf? What if there are three different color
hats? What if there are four different color
hats?
Can you find a rule for knowing how many
different snow people can be made from any
number of hats?
22
Exemplars
Hot Chocolate
The pan has hot chocolate in it. It takes 3 full
ladels to fill each mug. How many ladels will it
take to fill mugs for 5 children who are coming in
from sledding?
23
Exemplars
Hot Chocolate
The pan has hot chocolate in it. It takes 3 full
ladels to fill each mug. How many ladels will it
take to fill mugs for 2 children who are coming in
from sledding?
24
Exemplars
Hot Chocolate
The pan has hot chocolate in it. It takes 5 ounces
to fill each mug. If there are 8 ounces in a cup,
how many cups of hot chocolate will it take to fill
mugs for 5 children who are coming in from
sledding?
25
Exemplars
In Line
There are 5 students in a practice group that is
going on a treasure hunt. They need to line up at
the door with a girl as the line leader and a boy as
the line follower. There are 3 girls and 2 boys in
the group. Show how many different ways they
could line up and still follow the rules.
Remember to write a key so that you know what
code you have used to show girls and boys.
On the easel:
3 girls
2 boys
A boy must follow the line.
A girl must lead the line.
Use a code with shapes, color, numbers,
letters/words, symbols, or diagrams.
26
Exemplars
In Line
There are 3 students who are lining up at the
door. There are 2 girls and 1 boy. Show how
many different ways they could line up.
27
Exemplars
In Line
Carol, Dan, and Jacob are lining up at the door.
Show how many different orders they can line up.
28
Exemplars
License Plates
On a recent car trip we looked for license plates
that had 3 numerals on them. Show all of the
license plates that we found that had numbers
that added up to 6.
Explain all of your work using numbers pictures
and words.
29
Exemplars
License Plates
On a recent car trip we looked for license plates
that had 2 numerals on them. Show all of the
license plates that we found that had numbers
that added up to 6.
Explain all of your work using numbers pictures
and words.
30
Exemplars
License Plates
On a recent car trip we looked for license plates
that had 3 numerals on them. Show all of the
license plates that we found that had numbers
that added up to 6. What is the relationship
between the number of non-repeating digit plates
and plates that contain 2 repeating digits?
Explain all of your work using numbers pictures
and words.
31
Exemplars
Making a Necklace
Students are making necklaces to sell at the
marketplace. Each child has 42 inches of string
and 25 beads with designs on them. The beads
are three different shapes: long, round, and flat.
How many necklaces can each student make with
string and beads?
32
Exemplars
Making a Necklace
Use the following shaped beads to make a pattern
that can be made into a necklace. Explain your
pattern.
33
Exemplars
Making a Necklace
The children are making necklaces to sell at the
marketplace. Each necklace requires 42 inches of
string and 25 beads with designs on them. The
beads are three different shapes: long, round,
and flat. The supplies for the necklaces come in
the following sizes:
String: 3 feet packages
Long Beads: 100 per package
Round Beads: 200 per package
Flat Beads: 150 per package
To make 18 necklaces, how many packages of each
of the above do they need in order?
34
Exemplars
Mr. Frye’s Lambs
The Frye family has 9 ewes (female sheep) and 9
lambs in their barn. 3 of the ewes are not
mothers. How many sets of twins are there?
Hint: Ewes have either twins (2 lambs) or 1 at
one time.
35
Exemplars
Mr. Frye’s Lambs
The Frye family has 6 ewes (female sheep) and 9
lambs in their barn. Ewes have either twins (2
lambs) or 1 at one time. How many sets of twins
are there?
36
Exemplars
Mr. Frye’s Lambs
The Frye family has 20 ewes (female sheep) and
9 lambs in their barn. ½ of the ewes are not
mothers. There are twice as many twin ewes as
single ewes. How many baby ewes are there in
all?
37
Exemplars
Muffins
I went to the store to buy a muffin. Muffins cost
25 cents each. I had a lot of change in my coin
purse. How many ways could I pay for the
muffin?
38
Exemplars
Muffins
I went to the store to buy a muffin. Muffins cost
10 cents each. I had a lot of change in my coin
purse. How many ways could I pay for the
muffin?
39
Exemplars
Muffins
I went to the store to buy a muffin. Muffins cost
50 cents each. I paid for the muffin with 2
different types of coins in my purse. How many
ways could I have paid for the muffin?
40
Exemplars
Number Cube Game
You and your partner will each roll 2 number
cubes 20 times. Before you begin, each of you
will predict the sum of the two cubes that come
up most often. Who had the best prediction?
Based on the knowledge from the first game,
make your predictions and play the game again.
41
Exemplars
Number Cube Game
You and your partner will each roll a number cube
20 times. Before you begin, each of you will
predict the sum of the two cubes that come up
most often. Who had the best prediction? Based
on the knowledge from the first game, make your
predictions and play the game again. What is the
probability of achieving each sum rolling two
dice?
42
Exemplars
Octopus
How many tentacles are on 4 octopuses?
How did you do it?
43
Exemplars
Octopus
How many tentacles are on two octopuses?
How did you do it?
44
Exemplars
Octopus
How many tentacles are on 1 octopus? How many
tentacles are on 2 octopuses? How many
tentacles are on 3 octopuses? How many
tentacles are on 5 octopuses? How many
tentacles are on 10 octopuses? How did you do
it?
45
Exemplars
Paleontalogist
On a fossil dig, I recovered these items.
How could I put them in order?
Please be specific, show all your solutions and
explain how you solved the problem.
46
Exemplars
Paleontalogist
On a fossil dig, I recovered these items.
Put them in order from least to greatest based
on their number of sides.
47
Exemplars
Paleontalogist
Determine the number of triangles that make up
each of the shapes below. If each triangle
contains 180 degrees, determine the sum of the
angles in each shape below.
48
Exemplars
Pentomino Problem
Use the three pentomino shapes provided to make
as many different shapes with 12 sides or less.
Use the following three shapes.
49
Exemplars
Pentomino Problem
Determine the number of sides of each of the
pentomino shapes below.
50
Exemplars
Pentomino Problem
Determine the perimeter of each of the
Pentomino shapes shown below. Rank them in
order from greatest to least.
51
Exemplars
Pig Pens
If your pig pens can be any shape, how many pig
pens can the farmer have using 12 sides?
52
Exemplars
Pig Pens
4 pieces of fence are needed to build a pig pen.
How many pig pens can a farmer make if he has 12
pieces of fencing?
53
Exemplars
Pig Pens
If pig pens can be any shape, what is the most
number of pens that can be made using 20 pieces
of fencing?
54
Exemplars
Pizza Party
Tim and Lisa are having friends over for a pizza
party. There will be 5 children which will include
Lisa and Tim. Each child wants 3 slices of pizza.
How many whole pizzas do they need?
How will the pizzas be cut into fractional parts?
55
Exemplars
Pizza Party
Tim and Lisa are having friends over for a pizza
party. There will be 5 children which will include
Lisa and Tim. Each child wants 3 slices of pizza.
One pizza looks like this.
How many pizzas do they need to order?
56
Exemplars
Pizza Party
Tim and Lisa are having friends over for a pizza
party. There will be 5 children which will include
Lisa and Tim. Each child wants 3 slices of pizza.
Pizzas are sold as follows:
Size
Small
Medium
Large
# of slices
6
8
10
Price
$4.99
$5.99
$6.99
Which is the least expensive way to purchase
enough pizza?
57
Exemplars
Snail Trails
On Monday your snail made a slime trail 2 inches
long. On Tuesday the slime trail was 4 inches
long. If this same progress continues, how long
will the slime trail be on Friday?
58
Exemplars
Snail Trails
On Monday a snail moved 2 inches, leaving a slime
trail the same length. On Tuesday the snail
moved 4 more inches, once again leaving a slime
trail the same length. On Wednesday he moved 8
inches, Thursday 16 inches, and Friday 32 inches.
Each time he left a slime trail the length of his
movement. At the end of Friday, how long is the
trail of slime?
59
Exemplars
Snail Trails
On Monday your snail made a slime trail 2 inches
long. On Tuesday the slime trail was 4 inches
long. If each day the snail travels twice as far as
the day before, how long will the slime trail be on
Friday? What is the total number of feet made
by the snail that week?
60
Exemplars
Stacking Caps
A peddler carries 9 caps in a stack on his head.
The caps red, tan, and checked. Each cap costs
6¢. The peddler is neat and likes to stack the
alike colors together. What are the ways he can
stack his caps? How much money will he make if
he sells his nine caps?
61
Exemplars
Stacking Caps
A peddler carries 9 caps in a stack on his head.
The caps are red, tan, and checked. There are
the same numbers of each color. How many of
each color are there?
62
Exemplars
Stacking Caps
A peddler carries caps in a stack on his head.
The caps red, tan, and checked. There are the
same numbers of each color of cap. The peddler
has no more than 20 caps stacked on his head.
How many caps could he have? Show all of the
possibilities. Each cap costs 6¢. How much
money will he make if he sells his caps? Once
again, show all the possibilities.
63
Exemplars
Ten Feet Apartment
There is an apartment building called The Ten
Feet Apartment Building. The owner allows
people and pets to rent apartments in the
building, but each family (including pets) can only
have a total of 10 feet living in its apartment.
Find the different combinations of people and
pets that equal 10 feet. Draw pictures and write
to tell about your families.
64
Exemplars
Six Feet Apartment
There is an apartment building called The Six
Feet Apartment Building. The owner allows
people and pets to rent apartments in the
building, but each family (including pets) can only
have a total of 6 feet living in its apartment.
Find the different combinations of people and
pets that equal 6 feet. Draw pictures and write
to tell about your families.
65
Exemplars
Twenty-Two Feet Apartment
There is an apartment building called The
Twenty-Two Feet Apartment Building. The owner
allows people and pets to rent apartments in the
building, but each family (including pets) can only
have a total of 22 feet living in its apartment.
Find the different combinations of people and
pets that equal 22 feet. Draw pictures and write
to tell about your families.
66
Exemplars
Wrist Circumference
Measure and record the circumference of your
wrist. Then record the circumference of 5 other
students’ wrists. Make a graph of the 6 wrist
circumferences. Use the data to predict the
circumference of another student’s wrist. Ask
three more students for their measurements and
then record them. Compare your prediction to
these results.
67
Exemplars
Wrist Circumference
Measure and record the circumference of your
wrist. Then record the circumference of 5 other
students’ wrists. Make a graph of the 6 wrist
circumferences. Record the data in your graph
from least to greatest.
68
Exemplars
Wrist Circumference
Measure and record the circumference of your
wrist. Then record the circumference of 5 other
students’ wrists. Make a graph of the 6 wrist
circumferences. Use the data to predict the
circumference of another student’s wrist. Ask
three more students for their measurements and
then record them. Compare your prediction to
these results.
Repeat the task by measuring 5 adults’ wrists.
Compare the results between the children and
adults. What observations can you make?
69