new hanover county schools third grade math pacing...

New Hanover County Schools

Third Grade Math Pacing Guide 2013-2014

First Quarter

Common

Core

Strand

Standard Essential

Questions

NC DPI

Unpacking

Document

Textbook

Correlation

Vocabulary Notes/Suggestions

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.1

Interpret products of whole

numbers, e.g., interpret 5 × 7 as

the total number of objects in 5

groups of 7 objects each.

• What are the

different models of

multiplication?

• What are

efficient methods

for finding

products?

• How can you use

multiplication to

compare?

• What questions

can be answered

using

multiplication?

• How do you write

a good

mathematical

explanation?

Unpacking pp.

4

Envision

Topics:

5-6

5-7

5-8

5-9

products,

groups of,

partitioned

equally,

multiplication,

quotients,

partitioned

equally,

multiplication,

division, equal

groups, arrays,

equations,

unknown

(variable)

Multiples 1-12

(Maintenance skip

counting, number

charts, multiplication

songs, odd and even

with patterning)



First Quarter

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.4

Determine the unknown whole

number in a multiplication or

division equation relating three

whole numbers.

• What are the

properties of

multiplication and

division?

• What are some

strategies that can

be used to solve

math problems?

• How can

relationships be

expressed

symbolically?

• What strategies

can be used to

solve unknowns?

• How is an

equation like a

balance scale?

Unpacking pp.

7

Envision

Topics:

8-1

8-2

8-3

8-4

products,

groups of,

partitioned

equally,

multiplication,

quotients,

partitioned

equally,

multiplication,

division, equal

groups, arrays,

equations,

unknown

(variable)

Fact Families

3.OA.6

Understand division as an

unknown-factor problem.

• What are

efficient methods

for finding

unknowns?

• How do you use

models to solve

division problems?

• How can you use

multiplication to

help you divide?

Unpacking pp.

10

Envision

Topics:

8-1

8-2

8-3

8-4

operation,

multiply, divide,

factor, product,

quotient,

strategies

Fact Families



First Quarter

Op

era

tio

ns

an

d A

lge

bra

ic

Thin

kin

g

3.OA.9

Identify arithmetic patterns

(including patterns in the

addition table or subtraction),

and explain them using

properties of operations.

• How can arrays

be used to solve

problems?

• How does finding

patterns help in

solving problems?

• What are the

properties of

addition and

multiplication?


a good

mathematical

explanation?

Unpacking pp.

15-17

Envision

Topics:

9-1

9-2

9-3

9-4

9-5

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

mental

computation,

estimation,

rounding,

patterns

Patterns with addition

and multiplication

tables

Nu

mb

er

an

d

Op

era

tio

ns

in B

ase

Ten

3.NBT.1

Use place value understanding

to round whole numbers to the

nearest 10 or 100.

• What is place

value?

• Why is

understanding

place value

important?

• How can place

value be used in

rounding numbers?

Unpacking pp.

18

Envision

Topics:

1-1

1-2

2-4

place value,

round, addition,

add, addend,

sum,

subtraction,

subtract,

difference,

strategies

Place Value and

Rounding 10 and 100,

Base 10 blocks

(places)



First Quarter

Nu

mb

er

an

d O

pe

ratio

ns

in B

ase

Te

n

3.NBT.2

Fluently add and subtract within

1000 using strategies and

algorithms based on place

value, properties of operations,

and/or the relationship between

addition and subtraction.

• How can

addition and

subtraction

properties be used

to show

relationships that

always hold true?

• How can you use

patterns to add

and subtract two

digit numbers

within 1000?

• What are some

strategies and

algorithms that can

be used to solve

math problems?

Unpacking pp.

18-19

Envision

Topics:

2-1

2-2

2-3

2-5

2-6

2-7

2-8

2-9

3-1

3-2

3-3

3-4

4-1

4-2

4-3

4-4

4-5

place value,

round, addition,

add, addend,

sum,

subtraction,

subtract,

difference,

strategies

Decomposing

numbers, addition

and subtraction only,

properties of addition

Me

asu

rem

en

t a

nd

Da

ta

3.MD.1

Tell and write time to the nearest

minute and measure time

intervals in minutes. Solve word

problems involving addition and

subtraction of time intervals in

minutes, e.g., by representing the

problem on a number line

diagram.

• How can you tell

time to the nearest

quarter hour or half

hour?


time to the nearest

minute?

• How can you

change units of

time?

• How can you find

elapsed time?

• How can you

work backwards to

solve a problem?

Unpacking pp.

26

Envision Topics

17-1

17-2

17-3

estimate, time,

time intervals,

minute, hour

Telling Time (reading

a clock in intervals of

time)



First Quarter

MC

lass

BO

Y

Be

nc

hm

ark

Computation Concepts Missing Number Number Facts Quantity

Discrimination

20 or above Established

3-19 Emerging

2 or below Deficit


2-8 Emerging

1 or below Deficit


8-14 Emerging

7 or below Deficit


13 – 19 Emerging

12 or below Deficit


16 – 23 Emerging

15 or below Deficit

Me

asu

rem

en

t a

nd

Da

ta

3.MD.3

Draw a scaled picture graph

and a scaled bar graph to

represent a data set with several

categories. Solve one- and two-

step “how many more” and

“how many less” problems using

information presented in scaled

bar graphs.

• How can you

read and create

graphs?

• What conclusions

can you draw from

tables and graphs?

Unpacking pp.

29-30

Envision

Topics:

2-10

4-6

20-1

20-2

20-3

20-4

20-9

scale, scaled

picture graph,

scaled bar

graph, line plot,

data

Picture and Bar

graphs



Second Quarter

Common

Core

Strand

Standard Essential

Questions

NC DPI

Unpacking

Document

Textbook

Correlation


Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.2

Interpret whole-number

quotients of whole numbers,

e.g., interpret56 ÷ 8 as the

number of objects in each share

when 56 objects are partitioned

equally into 8 shares, or as a

number of shares when56

objects are partitioned into

equal shares of 8 objects each

• What are the

different models of

division?

• What are

efficient methods

for finding

quotients?

• What questions

can be answered

using division?

Unpacking pp.

4

Envision

Topics:

7-1

7-3

products, groups

of, partitioned

equally,

multiplication,

quotients,

partitioned

equally,

multiplication,

division, equal

groups, arrays,

equations,

unknown

(variable)

Strategies for

multiplication



Second Quarter

3.OA.3

Use multiplication and division

within 100 to solve word

problems in situations involving

equal groups, arrays, and

measurement quantities, e.g., by

using drawings and equations

with a symbol for the unknown

number to represent the

problem.

• What are the

properties of

multiplication and

division?

• What are some

strategies that can

be used to solve

math problems?

• How can

relationships be

expressed

symbolically?

• What strategies

can be used to

solve unknowns?

Unpacking pp.

5-6

Envision

Topics:

5-1

5-2

5-3

5-5

6-1

6-2

6-3

6-4

6-5

products, groups

of, partitioned

equally,

multiplication,

quotients,

partitioned

equally,

multiplication,

division, equal

groups, arrays,

equations,

unknown

(variable)

Strategies for division



Second Quarter

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.5

Apply properties of operations

as strategies to multiply and

divide.

• What are the

properties of

multiplication and

division?

• Why would you

use the

multiplication and

division properties

to solve problems?

• How can you

multiply three

numbers?

• What are arrays,

and how do they

relate to

multiplication?

• How can you

break apart arrays

to help you multiply

with greater

numbers?

• How can you

write a story to

describe a

multiplication or

division fact?

Unpacking pp.

8-9

operation,

multiply, divide,

factor, product,

quotient,

strategies

Use properties as a

strategy including

distributive (use with

arrays)



Second Quarter

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.7

Fluently multiply and divide

within 100, using strategies such

as the relationship between

multiplication and division (e.g.,

knowing that 8 × 5 = 40, one

knows 40 ÷ 5 = 8) or properties of

operations. By the end of Grade

3, know from memory all

products of two one-digit

numbers.

• What are some

strategies that can

be used to solve

multiplication and

division problems?

• How are

multiplication and

division related?

• How can you use

multiplication to

help you divide?

• What strategies

can we use to

memorize facts?

Unpacking pp.

11-12

Envision

Topics:

8-5

8-6

operation,

multiply, divide,

factor, product,

quotient,

unknown,

strategies,

reasonableness

Maintenance

3.OA.9



addition table or multiplication

table), and explain them using

properties of operations. For

example, observe that 4 times a

number is always even, and

explain why 4 times a number

can be decomposed into two

equal addends.

• What are arrays

and how can they

relate to

multiplication?


patterns help in

solving problems?

• What are the

properties of

addition and

multiplication?


a good

mathematical

explanation?

Unpacking pp.

15-17

Envision

Topics:

9-1

9-2

9-3

9-4

9-5

15-5

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

patterns

Focus on

multiplication and

properties



Second Quarter

Nu

mb

er

an

d O

pe

ratio

ns

in

Ba

se T

en

3.NBT.3

Multiply one-digit whole

numbers by multiples of 10 in the

range 10–90 (e.g., 9 × 80, 5 × 60)

using strategies based on place

value and properties of

operations.

• How does the

position of a digit in

a number affect its

value?

• What are

efficient methods

of finding

quotients?


a good

mathematical

explanation?

Unpacking pp.

20

Envision

Topics:

18-1

place value,

round, addition,

add, addend,

sum, subtraction,

subtract,

difference,

strategies

Use as a strategy for

multiplication and

patterning

Nu

mb

er

an

d O

pe

ratio

ns

Fra

ctio

ns

3.NF.1

Understand a fraction 1/b as the

quantity formed by 1 part when

a whole is partitioned into b

equal parts; understand a

fraction a/b as the quantity

formed by a parts of size 1/b.

• How can you

divide a region into

equal parts?

• How can you

write a fraction to

name part of a

whole?

• How can you

write a fraction to

name part of a

set?

• How are fractions

used in our daily

lives?

Unpacking pp.

21-23

Envision

Topics:

12-1

12-2

12-4

partition(ed),

equal parts,

fraction, equal

distance

(intervals),

equivalent,

equivalence,

reasonable,

denominator,

numerator,

comparison,

compare, <, >,

=, justify

Introduce Fractions

(use a number line)

3.G.2 can be a

prerequisite



Second Quarter

Me

asu

rem

en

t a

nd

Da

ta

3.MD.1






minutes, e.g., by representing

the problem on a number line

diagram.


time to the nearest


hour?


time to the nearest

minute?

• How can you

change units of

time?


elapsed time?

• How can you

work backwards to

solve a problem?

Unpacking pp.

26

Envision

Topics:

17-4

17-6

estimate, time,

time intervals,

minute, hour,

elapsed time,

measure

Telling Time

(maintenance) Begin

to use time intervals in

hours



Second Quarter

Me

asu

rem

en

t a

nd

Da

ta

3.MD.2

Measure and estimate liquid

volumes and masses of objects

using standard units of grams

(g), kilograms(kg), and liters

(l).Add, subtract, multiply, or

divide to solve one-step word

problems involving masses or

volumes that are given in the

same units, e.g., by using

drawings (such as a beaker with

a measurement scale) to

represent the problem.

• How do we

choose the

appropriate unit of

measurement?

• What customary

unit describes how

heavy something

is?

• How can you act

out and use

reasoning to solve

problems?

• What metric unit

describes mass?

• How can you

make a table and

look for a pattern

to solve a

problem?

Unpacking pp.

27-28

Envision

Topics:

15-4

measure, mass,

standard units,

metric, gram (g),

kilogram (kg)

Mass



Second Quarter

MC

lass

MO

Y

Be

nc

hm

ark


Discrimination


6-21 Emerging

5 or below Deficit


4-9 Emerging

3 or below Deficit


10-15 Emerging

9 or below Deficit


15 -21 Emerging

14 or below Deficit


17– 24 Emerging

16 or below Deficit

Ge

om

etr

y

3.G.2

Partition shapes into parts with

equal areas. Express the area of

each part as a unit fraction of

the whole.

•How can you

divide a region into

two equal parts?

Unpacking pp.

45

Envision

Topics:

12-1

attributes,

properties,

quadrilateral,

open figure,

closed figure,

three-sided, 2-

dimensional,

rhombi,

rectangles (and

squares are

subcategories of

quadrilaterals),

polygon,

rhombus/rhombi,

rectangle,

square, partition,

unit fraction

Prerequisite for

introducing fractions



Third Quarter

Common

Core

Strand

Standard Essential

Questions

NC DPI

Unpacking

Document

Textbook

Correlation


Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.7










numbers.

• What are some

strategies that can

be used to solve

multiplication and

division problems?

• How are

multiplication and

division related?

• How can you use

multiplication to

help you divide?

• What strategies

can we use to

memorize facts?

Unpacking pp.

11-12

Envision

Topics:

5-4

5-5

7-5

8-6

operation,

multiply, divide,

factor, product,

quotient,

unknown,

strategies

Maintenance

3.OA.8

Solve two-step word problems

using addition and subtraction.

Represent these problems using

equations with a letter standing

for the unknown quantity. Assess

the reasonableness of answers

using mental computation and

estimation strategies including

rounding.

•What are some

strategies that can

be used to solve

math problems?

•How does finding

patterns help in

solving problems?

•How can arrays

used to solve

problems?

Unpacking pp.

13-14

Envision Topics

5-10

6-7

10-8

11-4

13-4

13-5

16-8

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

mental

computation,

estimation,

rounding,

patterns

2 step word problems



Third Quarter

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.9










equal addends.

• What are arrays

and how can they

relate to

multiplication?


patterns help in

solving problems?

• What are the

properties of

addition and

multiplication?


a good

mathematical

explanation?

Unpacking pp.

15-17

Envision

Topics:

9-8

12-10

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

mental

computation,

estimation,

rounding,

patterns

Continue working on

patterns including

multiplication and

division

Nu

mb

er

an

d O

pe

ratio

ns

Fra

ctio

ns

3.NF.2

Understand a fraction as a

number on the number line;

represent fractions on a number

line diagram.

• How can you

locate fractions on

a number line?

• How do you

estimate parts?

Unpacking pp.

23

Envision

Topics:

12-7

partition(ed),

equal parts,

fraction, equal

distance

(intervals),

equivalent,

equivalence,

reasonable,

denominator,

numerator,

comparison,

compare, <, >,

=, justify

Number lines (In

depth)



Third Quarter

Nu

mb

er

an

d O

pe

ratio

ns

Fra

ctio

ns

3.NF.3

Explain equivalence of fractions

in special cases, and compare

fractions by reasoning about

their size.

• How can

different fractions

name the same

number?

• What are

equivalent

fractions?

• How can you use

models to

compare

fractions?

• How can you

locate fractions on

a number line?

Unpacking pp.

24-25

Envision

Topics:

12-5

12-6

partition(ed),

equal parts,

fraction, equal

distance

(intervals),

equivalent,

equivalence,

reasonable,

denominator,

numerator,

comparison,

compare, <, >,

=, justify

Me

asu

rem

en

t a

nd

Da

ta

3.MD.1






minutes, e.g., by representing

the problem on a number line

diagram.


time to the nearest


hour?


time to the nearest

minute?

• How can you

change units of

time?


elapsed time?

• How can you

work backwards to

solve a problem?

Unpacking pp.

26

estimate, time,

time intervals,

minute, hour,

elapsed time,

measure

Telling Time

(maintenance)

Time Intervals (30 and

15 mins)



Third Quarter

Me

asu

rem

en

t a

nd

Da

ta

3.MD.4

Generate measurement data

by measuring lengths using rulers

marked with halves and fourths

of an inch. Show the data by

making a line plot, where the

horizontal scale is marked off in

appropriate units— whole

numbers, halves, or quarters.

• How do you

measure to a

fraction of an

inch?

Unpacking pp.

30-32

Envision

Topics:

14-2

14-3

20-8 (Focus on

line plots)

Halves,

fourths/quarters,

inch, line plot,

length, whole

number, unit

In correlation with

number lines

3.MD.5

Recognize area as an attribute

of plane figures and understand

concepts of area measurement.

• How do you find

area?

• How do you

estimate and find

the area of an

irregular shape?

• How do you

measure the

amount of space

inside a solid

figure?

• How can you use

simpler problems to

solve problems?

Unpacking pp.

33-34

Envision

Topics:

16-5

16-6

attribute, area,

square unit,

plane figure,

gap, overlap,

square cm.,

square m.,

square ft.,

nonstandard

units, tiling, side

length,

decomposing



Third Quarter

Me

asu

rem

en

t a

nd

Da

ta

3.MD.6

Measure areas by counting unit

squares (square cm, square m,

square in, square ft, and

improvised units).

• How do you find

area?

Unpacking pp.

34

Envision

Topics:

16-6

attribute, area,

square unit,

plane figure,

gap, overlap,

square cm.,

square m.,

square ft.,

nonstandard

units, tiling, side

length,

decomposing

3.MD.7

Relate area to the operations of

multiplication and addition.

• How do you find

area?

• How do you

estimate and find

the area of an

irregular shape?

• How can you use

simpler problems to

solve problems?

Unpacking pp.

34-38

Envision

Topics:

16-5

16-6

attribute, area,

square unit,

plane figure,

gap, overlap,

square cm.,

square m.,

square ft.,

nonstandard

units, tiling, side

length,

decomposing



Third Quarter

Ge

om

etr

y

3.G.1

Understand that shapes in

different categories (e.g.,

rhombuses, rectangles, and

others) may share attributes

(e.g., having four sides),and that

the shared attributes can define

a larger category(e.g.,

quadrilaterals). Recognize

rhombuses, rectangles, and

squares as examples of

quadrilaterals, and draw

examples of quadrilaterals that

do not belong to any of these

subcategories.

• How do you

describe angles?

• What is a

polygon?

• How can you

describe triangles?

• How do you

describe and

classify

quadrilaterals?

• What

generalizations

can be made

about polygons?

Unpacking pp.

42-44

Envision

Topics:

10-1

10-2

10-4

10-5

10-6

10-7

attributes,

properties,

quadrilateral,

open figure,

closed figure,

three-sided, 2-

dimensional,

rhombi,

rectangles (and

squares are

subcategories of

quadrilaterals),

polygon,

rhombus/rhombi,

rectangle,

square, partition,

unit fraction



Fourth Quarter

Common

Core

Strand

Standard Essential

Questions

NC DPI

Unpacking

Document

Textbook

Correlation


Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.7










numbers.

• What are some

strategies that can

be used to solve

multiplication and

division problems?

• How are

multiplication and

division related?

• How can you use

multiplication to

help you divide?

• What strategies

can we use to

memorize facts?

Unpacking pp.

11-12

operation,

multiply, divide,

factor, product,

quotient,

unknown,

strategies,

reasonableness

Maintenance

3.OA.8

Solve two-step word problems

using the four operations.

Represent these problems using

equations with a letter standing

for the unknown quantity. Assess

the reasonableness of answers

using mental computation and

estimation strategies including

rounding.

• What are some

strategies that can

be used to solve

math problems?

• What are

strategies to use

when making a

reasonable

estimate?

• How can

relationships be

expressed

symbolically?

• What strategies

can be used to

solve unknowns?

Unpacking pp.

13-14

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

mental

computation,

estimation,

rounding

Maintenance (2 step

word problems)



Fourth Quarter

Op

era

tio

ns

an

d A

lge

bra

ic T

hin

kin

g

3.OA.9










equal addends.

• What are arrays

and how can they

relate to

multiplication?


patterns help in

solving problems?

• What are the

properties of

addition and

multiplication?


a good

mathematical

explanation?

Unpacking pp.

15-17

operation,

multiply, divide,

factor, product,

quotient,

subtract, add,

addend, sum,

difference,

equation,

unknown,

strategies,

reasonableness,

mental

computation,

estimation,

rounding,

patterns

Maintenance

Nu

mb

er

an

d O

pe

ratio

ns

Fra

ctio

ns

3.NF.2

Understand a fraction as a

number on the number line;

represent fractions on a number

line diagram.

• How can you

locate fractions on

a number line?

• How do you

estimate parts?

Unpacking pp.

23

partition(ed),

equal parts,

fraction, equal

distance

(intervals),

equivalent,

equivalence,

reasonable,

denominator,

numerator,

comparison,

compare, <, >,

=, justify

Maintenance number

lines



Fourth Quarter

Nu

mb

er

an

d O

pe

ratio

ns

Fra

ctio

ns

3.NF.3

Explain equivalence of fractions

in special cases, and compare

fractions by reasoning about

their size.

• How can

different fractions

name the same

number?

• What are

equivalent

fractions?

• How can you use

models to

compare

fractions?

• How can you

locate fractions on

a number line?

Unpacking pp.

24-25

partition(ed),

equal parts,

fraction, equal

distance

(intervals),

equivalent,

equivalence,

reasonable,

denominator,

numerator,

comparison,

compare, <, >,

=, justify

Maintenance

Me

asu

rem

en

t a

nd

Da

ta

3.MD.1






minutes, e.g., by representing the

problem on a number line

diagram.


time to the nearest


hour?


time to the nearest

minute?

• How can you

change units of

time?


elapsed time?

• How can you

work backwards to

solve a problem?

Unpacking pp.

26

estimate, time,

time intervals,

minute, hour,

elapsed time,

measure

Telling Time

(maintenance)

Time Intervals (nearest

minute)



Fourth Quarter

Me

asu

rem

en

t a

nd

Da

ta

3.MD.2

Measure and estimate liquid

volumes and masses of objects

using standard units of grams (g),

kilograms(kg), and liters (l).Add,

subtract, multiply, or divide to

solve one-step word problems

involving masses or volumes that

are given in the same units, e.g.,

by using drawings (such as a

beaker with a measurement

scale) to represent the problem.

• How do we

choose the

appropriate unit of

measurement?

• What customary

units describe how

much a container

holds?

• How can you act

out and use

reasoning to solve

problems?

• How can you

estimate and

measure in metric

units?

• How can you

estimate and

measure length?

• What metric unit

describes how

much a container

holds?

• How can you

make a table and

look for a pattern

to solve a

problem?

Unpacking pp.

27-28

Envision

Topics:

15-3

16-7

measure, liquid,

volume,

standard units,

metric, liter (L)

Volume



Fourth Quarter

MC

lass

MO

Y

Be

nc

hm

ark


Discrimination


7-25 Emerging

6 or below Deficit


6-11 Emerging

5 or below Deficit


12-16 Emerging

11 or below Deficit


16 -22 Emerging

15 or below Deficit


18– 34 Emerging

17 or below Deficit

Me

asu

rem

en

t a

nd

Da

ta

3.MD.8

Solve real world and

mathematical problems involving

perimeters of polygons, including

finding the perimeter given the

side lengths, finding an unknown

side length, and exhibiting

rectangles with the same

perimeter and different areas or

with the same area and different

perimeters.

• How can you

figure out what

question needs to

be answered first in

a multiple-step

problem?

• How do you find

the perimeter of a

shape?


the perimeter of

common shapes?

• What shapes can

you make when

you know the

perimeter?

• How do you find

area?

Unpacking pp.

39-41

Envision

Topics:

16-1

16-2

16-3

16-4

attribute,

perimeter,

plane figure,

linear, area,

polygon, side

length

Continue for area

and perimeter unit

new hanover county schools third grade math pacing...

Documents