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Overview Continued
Students will
experience math activities expressing numbers greater than 1,000 in
different ways, estimate to find
reasonable answers, make larger money combinations, add and subtract with
multiple digit numbers, and experience 2 and 3-dimensional geometric shapes. Students will
gain math fact fluency in addition and subtraction to 24, read, write,
and order numbers up to 100,000 in standard form, written form, and
expanded form. They will discover equivalent representations of 4-digit
numbers and use the commutative and associative properties of addition
and subtraction.
Students will practice
writing extended responses to problem solving situations. Students will
organize and display data in a variety of formats, and they will read,
interpret, and analyze the data displays. Students will tell time to 5
minutes, determine elapsed time, read a thermometer, measure with a
centimeter and inch ruler, select correct tools for measuring length,
weight, volume, mass, temperature, and time, and know the unit the tool
measures. (ex. a scale measures pounds) Students memorize the
multiplication facts 1, 2, 3, 5, 8, and 10 using arrays and charts.
By March, they will learn their multiplication/division fact
families up through 11.
Third graders will experience finding the median and
mode of sets of data and work with combining matched sets with two and three
elements. Addition will include four digits with regrouping. In February and
March, simple fractions and decimals will be added and subtracted using
pictures. All of the computation operations will be applied to whole
numbers. In
quarter 4 of third grade, third graders will explore and find
area and volume; add and subtract decimals and common fractions with
pictures; review basic multiplication facts 1 - 11; make and use coordinate
systems on grids; addition and subtraction fact fluency; add and subtract
4-digit numbers with regrouping including money; understand and solve
problems using appropriate computational techniques; and understand and
solve problems with estimation strategies in problem solving. All of these
mathematical experiences build a strong foundation for fourth grade
mathematics.
Enduring Understandings
are important ideas that students should carry with them years beyond the
instruction received this year.
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What we know about
and can do with simple numbers is related to larger numbers.
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We can use
what we know to work with more difficult or larger number problems.
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Number sense is
necessary to communicate the reasoning used in problem solving.
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Analyzing data display
tools like graphs, tables, and charts helps us
clarify data, allows us to interpret, explain, and make predictions about
data based on
probability and statistics.
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Appropriate tools and units
are needed to measure length, weight, volume, temperature, and time.
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Estimation and computation
are vital tools.
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A sense of number is
necessary to communicate the reasoning used in problem solving.
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Graphics are tools used
to clarify data.
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Multiplication and
division are inverse operations.
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The vocabulary of
probability helps us develop reasonable solutions to problems.
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Basic fact fluency is the foundation for problem
solving in mathematics.
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Coordinate grid systems give us graphic
representations of data.
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Estimation strategies help us determine reasonableness of answers in
problem solving.
Essential Questions
are the most important “big picture” questions students should be able to answer
after completing learning activities.
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How
are the place values related to each other? 10, 100, 1,000, etc?
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What
do the numbers on digital and analog clocks mean?
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Why do we estimate and round numbers? How is estimation useful in solving
problems?
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Does
your body have a line(s) of symmetry? Explain what makes it
symmetrical.
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Where
else in your life have you found an example of symmetry? Explain
what makes it symmetrical.
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Why can we change the place of addends in
an addition problem, but we can’t change the order of the numbers in
subtraction?
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What is number sense, and
how is it used in problem solving? In how many different forms can
you write a number?
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What mathematics vocabulary
do you need to communicate mathematical ideas?
-
-
-
-
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What is number sense,
and how is it used in problem solving?
-
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How do basic mathematics facts help us solve
problems?
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Explain coordinate grid systems and their importance
in mathematics.
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How can graphics help us understand and solve
problems?
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How can predictions and estimations help us interpret
and explain data?
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How does estimation help us determine reasonableness
of answers?
CSAP
Tested Standards
Highest Frequency
 High
Frequency
 Other
Standards and E-Skills
Highest Frequency = the timing, intensity and
level of accountability is extremely high because mastery of these skills
will must be demonstrated at
this grade level.
High
Frequency = the timing, intensity and level of
accountability is high because mastery of these skills is expected at this grade level.
Other
Standards and E-Skills = the timing, intensity, and level of mastery are
not urgent. It should be introduced during this time so students can
experience the concept and return in future quarters to strive
towards mastery. |
Standard 1: Number Sense - August
 Read, write, and order numbers to 10,000 (written
form, standard form, expanded form)
Identify place value to 10,000
Recognize odd/even numbers to 1,000
Identify money combinations of coins to $1.00.
Standard 5: Measurement - August
 Tell time to nearest 5 minutes (digital and analog).
Standard 6: Computation - August
Math fact fluency in addition and subtraction to 18
Use rounding and estimation of whole numbers to make
predictions before computation.
Standard 1: Number Sense - September
Read, write, and order numbers to 10,000 (written
form, standard form, expanded form, and equivalent forms: 231= 200+30+1 or 2
hundreds 3 tens 1 one 100+100+30+1).
Recognize odd/even numbers to 1,000
Compare/order numbers 0 to 10,000
Understand and solve real world problems using mental
math and estimation.
Use estimation skills to find a reasonable solution
(round numbers to nearest 10 and 100).
Identify money combinations of coins to $1.00.
Standard 2: Patterns and Algebra - September
Recognize, identify, describe and extend increasing and
decreasing patterns (i.e., what’s my rule? +/-).
Use patterns to find missing elements (i.e., multiples
of 2, 3, 4, 5, 10).
Identify, describe, and extend increasing and
decreasing patterns using pictures and charts.
Complete patterns using numbers
Understand and solve problems using patterning.
Standard 3: Data and Graphs - September
Organize and display data using tally charts; bar,
line, and pictographs; and tables.
Analyze data to make predictions.
 Understand and solve problems related to probability,
data, graphs, and tables.
Standard 4: Geometry - September
Identify lines of symmetry in regular polygons and
other familiar objects.
Sort shapes and objects by attributes.
Identify geometric figures in art and nature.
Understand and solve problems related to geometric
concepts.
Standard 5: Measurement - September
Tell time to nearest 5 minutes (digital and analog).
Select correct tools to measure length, weight,
temperature, time.
Understand and solve problems using appropriate
measurement tools.
Standard 6: Computation - September
Math fact fluency in addition and subtraction to 24.
Solve 2-digit addition and subtraction problems without
regrouping.
Add 3-digit numbers with regrouping.
Addition with money
Use rounding and estimation of whole numbers to make
predictions before computation.
Select and use appropriate operation solve problems (+,
-).
Determine from real-world problems whether an estimated
or exact sum/difference is acceptable.
Understand and solve problems using appropriate
computational techniques.
Standard 1: Number Sense - October
Reads, writes, and orders numbers to 100,000 (written
form, standard form, expanded form).
Equivalent representations up to 4-digit numbers (i.e.,
25=20+5 or 10+5 or 2 tens 5.)
Solve
addition and subtraction problems using commutative and associative
properties (i.e., 2+3+6=6+3+2)
Write and order numbers to 100,000 counting by 2s, 10s,
and 100s forward and backward.
Recognize odd/even numbers to 100,000
Standard 2: Patterns and Algebra - October
Identify, describe, and extend increasing and
decreasing patterns using pictures and charts.
Use patterns to find missing elements (i.e., multiples
of 2, 3, 4, 5, 10).
Complete numeric patterns on a given table (i.e.,
input/output tables).
Understand and solve problems using patterning.
Standard 3: Data and Graphs - October
Collect, organize and display data using tally charts;
bar, line, and pictographs; and tables.
Interpret and evaluate data, graphs, tables, lists,
etc.
Analyze data to make predictions.
Understand and solve problems related to data, graphs,
and tables.
Standard 4: Geometry - October
Recognize & identify geometric shapes.
Identify and list the characteristics of 2- &
3-dimensional (i.e., cubes, spheres, cylinders).
Identify congruent figures.
Identify flips, slides and turns
Identify points, lines, line segments.
Discuss right angles, acute angles and obtuse angles
(to include rays in relation to angles).
Understand and solve problems related to geometric
concepts.
Create a figure with at least 1 line of symmetry in
regular polygons.
Standard 5: Measurement - October
Select correct tools to measure length, weight,
temperature, time.
Approximate the measurement of objects using standard
and non-standard units.
Understand and solve problems using appropriate
measurement tools.
Standard 6: Computation - October
Add and subtract using money up to $10.00.
Use rounding and estimation of whole numbers to make
predictions before computation.
Select and use appropriate operation solve problems (+,
-).
Determine from real-world problems whether an estimated
or exact sum/difference is acceptable.
Solve 2- & 3-digit addition and subtraction problems
without regrouping.
Understand and solve problems using appropriate
computational techniques.
Standard 6: Computation - October
Fact families- commutative and associative
properties
2-3 digit subtraction with regrouping
Subtraction with money
Standard 2: Patterns - October
Numeric patterns in given table (Input/Output
T-table)
Standard 1: Number Sense - October
Review Place Value up to 100,000,
Read,
write, order numbers
Even/Odd
Standard 6: Computation - November
4 digit addition and subtraction with regrouping
Real world problem solving using
addition/subtraction/estimation
Make change/subtract money
Extended response in problem solving
Standard 3: Graphing/Data - November
Read, interpret, and draw conclusions of data,
graphs, and tables
Organize and display data using tallies, bar
graphs, pictographs, and tables
Standard 5: Measurement - November
Describe/Compare metric and standard units of
measurement
Standard 1: Number Sense - November
Money combinations up to $5.00
Review Place Value up to 100,000
Read,
write, order numbers
Even/Odd
Standard 2: Patterns - November
Review all types of patterns
Standard 5: Measurement - December
Time to the nearest 5 minutes- Determine elapse
time
Understanding temperature and reading a
thermometer
Using a ruler to measure length to the nearest
centimeter and ½ inch
Select correct tools to measure length, weight,
volume, mass, temperature, and time
Name the
unit the measurement tool uses to measure (ex. scale= pounds)
Standard 6: Computation - December
Understanding of multiplication and division -
arrays and multiplication chart
Multiplication facts- 1,2,3,5,9,10
Standard 1: Number Sense - December
Money combinations up to $5.00
Review Place Value up to 100,000
Read,
write, order numbers
Even/Odd
Standard 4: Geometry - December
Review all Geometry from October
Standard 1: Number Sense - January
Review money combinations to $5.00
Standard 3: Data/graphing - January
Probability using most likely, least likely, equally likely, certain,
impossible
Combination of matching sets using a set of 2 elements and a set of 3
elements
Review interpreting/drawing conclusions of data, graphs and tables
Standard 5: Measurement - January
Review measurement to nearest centimeter and ½ inch
Standard 6: Computation - January
Multiplication and division facts from 1-11
Fact families: multiplication/division (commutative and associative
property)
Extended response problem solving using real world situations
Standard 1: Number Sense - February
Recognize equivalent decimals, fractions, and percents (.1, 10%, 1/10)
Develop a process for estimation and revision of that estimate.
Understand and solve problems using mental math and estimation.
Standard 2: Patterns - February
Identify, describe, and extend increasing and decreasing patterns (i.e.,
“what’s my rule? +, -, x)
Understand and solve problems using patterning.
Standard 3: Data and Graphs - February
Determine mode and median given a set of numbers.
Find all possible combinations (i.e., matching sets using a set of 2
elements and a set of 3 elements).
Define, understand, apply and interpret concepts of probability using most
likely, least likely, equally likely, certain, impossible
Understand and solve problems related to probability, data, graphs, and
tables.
Standard 4: Geometry - February
Identify 3-dimensional shapes.
Review Quarter 1 and Quarter 2 e-skills.
Understand and solve problems related to geometric concepts.
Standard 5: Measurement - February
Read, interpret representations of length, weight, temperature.
Read and interpret number lines, graphs, and maps.
Measure distance between locations on a map.
Determine elapsed time
Understand and solve problems using appropriate measurement tools (i.e.,
time).
Standard 6: Computation - February
Add 4-digit numbers with regrouping.
Subtract 4-digit numbers with regrouping.
Use basic operations to compute using whole numbers (+, -, x).
Addition/subtraction of common fractions using pictures (denominator of 4
or less).
Knows basic multiplication/division facts of 1’s, 2’s, 3’s, 4’s, 5’s, 9’s,
and 10’s (as well as 6, 7, 8, 11)
Select and use appropriate method to solve problems (+, -, x) and provide
extended response problem solving using real world situations.
Determine from real-world problems, whether an estimated or exact sum,
difference, or product is acceptable.
Understand and solve problems using appropriate computational techniques.
Standard 1: Number Sense - March
Read, write and order numbers to 1,000,000.
Identify place value of numbers to 1,000,000.
Compare numbers to 1,000,000.
Review money combinations and make change up to $5.00
Recognize odd/even numbers to 100,000
Understand and solve problems using mental math and estimation.
Standard 2: Patterns - March
Review patterns
Extended response problem solving using patterns and a table
Identify, describe, and extend increasing and decreasing patterns (i.e.,
“what’s my rule? +, -, x)
Understand and solve problems using patterning.
Standard 3: Data and Graphs - March
Determine mode and median given a set of numbers.
Find all possible combinations (i.e., matching sets using a set of 2
elements and a set of 3 elements).
Define, understand, apply and interpret concepts of probability using most
likely, least likely, equally likely, certain, impossible.
Understand and solve problems related to probability, data, graphs, and
tables.
Standard 4: Geometry - March
Identify 3-dimensional shapes.
Review Quarter 1 and Quarter 2 e-skills.
Understand and solve problems related to geometric concepts.
Standard 5: Measurement - March
Read, interpret representations of length, weight, temperature.
Read and interpret number lines, graphs, and maps.
Measure distance between locations on a map.
Standard 6: Computation - March
Add and subtract decimals.
Knows basic multiplication/division facts of 1’s, 2’s, 3’s, 4’s, 5’s,
9’s, and 10’s (as well as 6, 7, 8, 11).
Add 4-digit numbers with regrouping.
Subtract 4-digit numbers with regrouping.
Determine from real-world problems, whether an estimated or exact sum,
difference, or product is acceptable.
Understand and solve
problems using appropriate computational techniques.
Standard 1: Number
Sense - April
Read,
write and order numbers to 1,000,000.
Identify
place value of numbers to 1,000,000.
Compare
numbers to 1,000,000.
Review
money combinations up to $5.00
Use
reasonable estimation to solve problems.
Standard 2: Patterns
- April
Explain
how patterns are generated.
Identify,
describe, and extend increasing and decreasing patterns (i.e., “what’s
my rule? +, -, x)
Understand
and solve problems using patterning.
Standard 3: Data and
Graphs - April
Determine
mode and median given a set of numbers.
Collect
and organize data.
Standard 4: Geometry
- April
Explore
and find area and volume.
Make
and use coordinates systems on a grid.
Explore
and create new shapes using manipulatives (i.e., tangrams, pattern
blocks, etc.).
Compare
and contrast attributes of squares and rectangles.
Standard 5:
Measurement - April
Explore
and find area and volume.
Make
and use coordinates systems on a grid.
Tell
time to nearest 5 minutes (digital and analog).
Measure
objects accurately.
Standard 6:
Computation - April
Demonstrate
understanding of 1’s, 2’s, 3’s, 5’s and 10’s multiplication facts as
well as extended facts for multiples of 10 for 1, 2, 3, and 5 (i.e., 11,
12, 13, 15).
Addition/subtraction
of common fractions using pictures.
Demonstrate
math fact fluency in addition and subtraction.
Add
4-digit numbers with regrouping (to include money).
Subtract
4-digit numbers with regrouping (to include money).
Standard 1: Number
Sense - May
Read,
write and order numbers to 1,000,000.
Identify
place value of numbers to 1,000,000.
Compare
numbers to 1,000,000.
Use
reasonable estimation to solve problems.
Standard 2: Patterns
and Algebra - May
Explain
how patterns are generated.
Identify,
describe, and extend increasing and decreasing patterns (i.e., “what’s
my rule? +, -, x)
Understand
and solve problems using patterning.
Standard 3: Data and
Graphs - May
Interpret/analyze
data.
Determine
mode and median given a set of numbers.
Standard 4: Geometry
- May
Identify
parallel, intersecting and perpendicular lines
Draw
geometric figures and recognize their attributes
Explore
and create new shapes using manipulatives (i.e., tangrams, pattern
blocks, etc.).
Compare
and contrast attributes of squares and rectangles.
Standard 5:
Measurement - May
Tell
time to nearest 5 minutes (digital and analog).
Measure
objects accurately.
Standard 6:
Computation - May
Demonstrate
math fact fluency in addition and subtraction.
Add
4-digit numbers with regrouping (to include money).
Subtract
4-digit numbers with regrouping (to include money).
Understand
and solve problems using appropriate computational techniques.
Understand
and solve problems using estimation strategies in problem solving.
Demonstrate
understanding of 1’s, 2’s, 3’s, 5’s and 10’s multiplication facts as
well as extended facts for multiples of 10 for 1, 2, 3, and 5 (i.e., 11,
12, 13, 15).
Addition/subtraction
of common fractions using pictures.
Resources:
National Virtual Library of
Manipulatives (NVLM) - K-12 math support for Number & Operations,
Algebra, Geometry, Measurement, and Data Analysis & Probability | 
