5th grade common core math essential questions

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Unit 1: Order of

Operations and

Whole Numbers

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How can an

expression be

written given a

set value?

How can

estimating help us

when solving

division problems?

How can estimating

help us when

solving

multiplication

problems?

How can

expressions be

evaluated?

How can I apply my

understanding of area

of a rectangle and

square to determine

the best buy

for a football field?

How can I

effectively explain

my mathematical

thinking and

reasoning to others?

How can I use cues

to remind myself of

the order of steps to

take in a multi-step

expression?

How can I use the

situation in a story

problem to

determine the best

operation to use?

How can identifying

patterns help

determine multiple

solutions?

How can we

simplify

expressions?

How can you

represent the

quantity of a

multiple of 10?

In what kinds of

real world

situations might

we use equations

and expressions?

What happens when

we multiply a whole

number by powers of

10?

What is the

difference between

an expression and

an equation?

What operations

are needed to find

area and cost per

square inch?

What pattern is

created when a

number is

multiplied by a

power of 10?

What strategies can

we use to determine

how numbers are

related?

What strategies

can we use to

efficiently solve

division problems?

What strategies can

we use to

efficiently solve

multiplication

problems?

Why is it

important to

follow an order

of operations?

Unit 2:

Decimals

How are decimal

numbers placed

on a number

line?

How can we use

estimation to help us

check the

reasonableness of sums

and differences

of decimal numbers?

How can we use

models to

demonstrate

decimal values?

How do we add

decimal

numbers?

How do we

solve problems

with decimals?

How do we

subtract

decimal

numbers?

How do you

order

fractions?

How does the

location of digit in

the number affect

the size of a

number?

How is place

value different

from digit

value?

What are the

various uses of

decimals?

What is a

fraction and

how can it be

represented?

Why does

placement or

position of a

number matter?

Why is place value

important when

adding whole

numbers and

decimal numbers?

Why is place value

important when

subtracting whole

numbers and

decimal numbers?

Unit 3:

Multiplying and

Dividing

Decimals

How can we use

models to

demonstrate

multiplication and

division of decimals?

What happens

when we multiply

decimals by

powers of 10?

How can we use

exponents to

represent the value

of larger numbers?

How can we describe

the relationship

between the number of

zeroes and the

exponent for base

ten?

How do the rules of

multiplying whole

numbers relate to

multiplying

decimals?

How are

multiplication

and division

related?

How are factors

and multiples

related to

multiplication and

division?

What happens

when we multiply

a decimal by a

decimal?

What happens

when we divide

a decimal by a

decimal?

What are some

patterns that occur

when multiplying

and dividing by

decimals?

How can we

efficiently solve

multiplication and

division problems

with decimals?

How can we

multiply and

divide decimals

fluently?

What strategies

are effective for

finding a missing

factor or divisor?

How can we check

for errors in

multiplication or

division of

decimals?

Unit 4: Adding,

Subtracting,

Multiplying, and

Dividing Fractions

How are equivalent

fractions helpful

when solving

problems?

How can a

fraction be

greater than 1?

How can a

model help us

make sense of

a problem?

How can comparing

factor size to 1 help

us predict what will

happen to the

product?

How can decomposing

fractions or mixed

numbers help us

model fraction

multiplication?

How can

decomposing

fractions or mixed

numbers help us

multiply fractions?

How can

fractions be used

to describe fair

shares?

How can fractions

with different

denominators be

added together?

How can looking at

patterns help us

find equivalent

fractions?

How can making

equivalent fractions

and using models

help us solve

problems?

How can modeling

an area help us

with multiplying

fractions?

How can we describe

how much someone gets

in a fair-share

situation if the fair

share is

less than 1?

How can we describe

how much someone gets

in a fair-share

situation if the fair

share is between two

whole numbers?

How can we

model an area

with fractional

pieces?

How can we model

dividing a unit fraction

by a whole number with

manipulatives and

diagrams?

How can we tell if a

fraction is greater

than, less than, or

equal to one whole?

How does the size

of the whole

determine the size

of the fraction?

What connections

can we make

between the models

and equations with

fractions?

What do equivalent

fractions have to do

with adding and

subtracting

fractions?

What does dividing

a unit fraction by

a whole number

look like?

What does

dividing a whole

number by a unit

fraction look like?

What does it mean

to decompose

fractions or

mixed numbers?

What models can we

use to help us add and

subtract fractions

with different

denominators?

What strategies can

we use for adding and

subtracting fractions

with different

denominators?

When should we

use models to

solve problems

with fractions?

Why is it important

to know how close

a fraction is to one

whole?

Unit 5:

Geometry and

the Coordinate

Plane

How does the

coordinate

system work?

How can the

coordinate system

help you better

understand other

map systems?

How do

coordinate grids

help you organize

information?

How can we

represent

numerical patterns

on a coordinate

grid?

What relationships

can be determined

by analyzing two

sets of given

rules?

How can a line graph

help us determine

relationships

between two

numerical patterns?

Unit 6: 2-D

Figures

How can plane

figures be

categorized

and classified?

What is a

quadrilateral?

How can you

classify different

types of

quadrilaterals?

How are

quadrilaterals

alike and

different?

What are the

properties of

quadrilaterals?

How can angle and

side measures help

us to create and

classify triangles?

Where is

geometry found

in your everyday

world?

What careers

involve the use

of geometry?

Why are some

quadrilaterals

classified as

parallelograms?

Why are kites not

classified as

parallelograms?

Why is a square

always a

rectangle?

What are ways

to classify

triangles?

Unit 7: Volume

and

Measurement

Does volume change

when you change the

measurement

material? Why or

why not?

How are area

and volume

alike and

different?

How can you find

the volume of cubes

and rectangular

prisms?

How do we

measure

volume?

How do you

convert volume

between units

of measure?

What connection

can you make

between the

volumes of

geometric solids?

What material is

the best to use

when measuring

volume?

Why is volume

represented with

cubic units and

area represented

with square units?

Why is volume

represented

with cubic

units?

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