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Page 1: Good Questions for Math

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Money

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How many different wayscan you make ____ ¢?

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In my pocket I have ____ ¢.What coins might I have?

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I am a coin with a building

on me. What might I be?

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I have two coins on one handand one in the other hand.

The coins in each hand areworth the same amount.

What could the coins be?

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I had one of each coins inour currency on my table. I

sorted them into two groups.What might the groups have

been?

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Fractions

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Half of the people in afamily are males. What

might a drawing of thefamily look like?

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Draw a shape. Show how to

cut the shape into two

halves.

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I was listening to the radioand I heard the announcer

say “half.” What might shehave been referring to?

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We want to paint the tophalf of the room. How could

we find out where the half-way mark is?

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What do you know and whatcan you find out about 1/4?

Record it on paper or showit with materials.

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Place Value

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 What numbers can you make

that are below 100 and have6 in the tens place?

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 I am thinking of a number

between 10 and 100 with asingle 9 in it. What might

my number be?

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 What numbers can you make

using 6, 5, and 8?

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 A two-digit number contains

exactly on 4. What mightthe number be?

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How many different ways canyou make the number 20

adding only the numbers 10and 1? You may use each of

these numbers as many timesas you wish or not at all.

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 Using base 10 materials,

how many ways can you hoethe number 24?

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Counting and Ordering

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 Write down everything you

can about the number 12.

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 Write down some odd

numbers between 0 and 100.

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 I have written a secret

number between 50 and 70.It is an even number. What

might it be?

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Make a two color train withlinking cubes, using two of

one color, two of the other,continuing as long as you

like. How many cubes are inyour train?

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 Count by twos until you land

on twenty. What othernumbers can you count by

and still land on twenty?

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 Count by twos until you land

on fifty. What othernumbers can you count by

and still land on fifty?

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Count by twos until you landon one hundred. What other

numbers can you count byand still and on one

hundred?

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Operations

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 A basketball player scored 9

points in two games. Whatmight her scores in each of

the games be?

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  ___ + ___ + ___ = 13.

What might the missingnumbers be?

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There are now four chickensin Mrs. Farmer’s pen. How

many chickens did she oncehave, and what happened to

them?

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 Make up some different

ways to add 5 to 8 in yourhead. In how many ways can

you do it?

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 The difference between two

numbers is 5. What mightthe two numbers be?

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 Yesterday I put some counters intogroups with the same number in

each group. I cannot remember the

groups, but I can remember that

there were twelve counters. What

might the groups have been?

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When the children in a classeach got a partner, there

was one child left over. Howmany children might be in

the class?

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Weight

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What can you find that islighter than a pen?

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 Find something that you can

lift that is heavier than abucket of water.

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A book is on one side of apan balance, and two

objects are on the otherside so that the pans are

level. What might the twoobjects be?

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 What can you find that is

bigger than a potato butlighter than it?

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What can you find that isheavy but small?

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 Lin carried a big, full bucket

quite easily. What mighthave been in the bucket?

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Volume and Capacity

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 Find a container into which

you can fit six cubes so thatthey do not move around too

much.

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 How many containers can you

find that will hold more thanthis jar?

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 I filled a container with 20

spoonfuls of rice. Whatmight the container that I

used look like?

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 Ella used twelve blocks to

build a building. What mighther building look like?

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 Sandy filled a container

using 3 cups of water. Whatcontainer might she have

filled?

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Area

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What are three things thispage would completely cover?

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What are some things yourhand will cover so that they

cannot be seen? What aresome things you cannot cover

completely with your hand?

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 What are some things you

could cover exactly withfour books?

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 I covered an object with ten

bottle tops. What might theobject be?

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 Max made a flat shape using

five square tiles with theirsides touching. What might

Max’s shape look like? 

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Time

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 What is something that we

could do that takes exactlyone minute?

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 What are some things you

do in the morning and somethings you do in the

afternoon?

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I know two people who havetheir birthday in the month

before yours and two peoplewho have it in the month

after yours. Who might theybe?

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 What is something you do in

summer that you do not doin any other season?

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 Show the children a picture of something that happens during the day. Ask: 

“What are some things that

happen before/after this

picture?” 

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What things could you dothat take about one hour?

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My mom said that I went tobed later than my usual

bedtime of 8 o’clock. Whattime might I have gone to

bed?

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 What are some things you

do each school day between12 o’clock and 4 o’clock? 

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 Show a time on an analog clock face with movable hands.

Tell what you might be doing

at that time on a school

day.

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Length

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 How many objects can you

find that are longer thanthree hand spans but

shorter than 4 hand spans.

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 What is longer than two of

your foot lengths butshorter than 3 of your foot

lengths?

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 Can you find something that

is the same length as yourheight?

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 Give the children a piece of string.

Can you find some thingslonger than/shorter than/the

same length as your string?

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 There are five children

standing together. If youare the middle person in

height, who might the otherfour be?

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Tara measured a table andsaid that it was ten sticks

long. Michael measured thesame table and said it was

twelve sticks long. Howmight this happen?

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 Guess how many cubes long

an object is. Then snaptogether cubes to check.

Repeat for other objects.

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Location and Position

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What are some things in thisroom that you can go under?

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 I took two steps and

finished neat the desk.Where might I have

started?

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 Make your own obstacle

course by going over threethings, through one thing,

under one thing, andbetween two things.

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What can you see that is infront of the teacher’s desk? 

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 I can see something above

the book shelves and belowthe blinds. What could it

be?

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 2-Dimensional Shapes

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What is it that makes theseshapes triangles?

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 I drew a shape with four

sides. Draw what my shapemight look like.

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A friend of mine sorted these

shapes into two groups. What might

the two groups have been?

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 I made a picture using only

circles and squares. Whatmight my picture have looked

like?

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 Make a design with pattern

blocks. What did you make?

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3-Dimensional Shapes

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 In my hands I have an

object that is able to roll.What might it be?

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 Make a rectangular opening that IS 2”X8” by cutting into a cardboard box. 

What objects in this room

could pass through this

opening?

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 I can see a box-shaped

object in this room. Whatobject can I see?

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 We stacked some objects to

make a wall. What objectsmight we have used?

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 In a bag I can feel that an

object has flat faces, sharpcorners, and straight edges.

What might this object be?

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I traced around one of thefaces of an object. The

shape I drew was a circle.What might the object have

been?

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Sara used three rollingshapes, four boxes, and one

cone to build something.What did she build and what

might her construction looklike?

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From the top a stack of blocks

looks like this diagram.

Use a set of blocks to show what

the stack might look like.

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Chance

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If two coins are tossed,what could happen?

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Two children were playing a dicegame. One child tossed two dice

together and when they landed one

was a 6 and one was a 4. Whatother number combinations might

the child have tossed?

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A family has three children.We know that at least one

of the children is a girl.Draw what the family might

look like.

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Data

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What might this be a graphof?

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 You did a survey to find outwho was happy and who was

sad. What pictures couldyou use to represent these

feelings?

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The twenty-five children in our classeach drew a picture of him or herself.

Our teacher asked a question that we

could answer “yes” or “no.” Twentychildren put their picture in the yes

column while five children put their

picture in the no column. What might thequestion have been?

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 How could you make a

representation of thechildren in our class who can

swim and the children whocannot?

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On a graph about petsowned by children in our

class, I counted more dogsthan cats. What might the

graph look like?