3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
First
Nine Weeks
Ongoing
Weeks 1 – 4
Date: August 8 – September 2
Problem Solving, Vocabulary
Weeks
4/5
Sequencing
• Compares and orders whole numbers through 9,999
Estimation/Rounding
• Rounds two, three, and four-digit numbers to the nearest ten,
hundred, or thousand
Addition/Subtraction
• Adds and subtracts whole one, two, three-digit numbers
without regrouping, initially with manipulatives
• Solves problems both vertically and horizontally
MIDTERMS
Place Value
• Identifies 1’s, 10’s, 100’s, 1,000’s, 10,000’s
• Relates concrete and pictorial models to numbers through
thousands
Addition/Subtraction
• Adds and subtracts whole one, two, three-digit numbers
with regrouping, initially with manipulatives
• Solves problems both vertically and horizontally
• Applies strategies beginning with front-end estimates
and simple compatible numbers to predict appropriate
results
• Determines a pair of numbers or missing element of pair
when given a relationship or rule (Algebra)
Money / Time
• Determines and estimates amounts up to $5.00. Include
amounts spent, change received, equivalent amounts
• Tells time to the nearest minute, hour, and half hour
• Measures elapsed time
Fractions
• Identifies and writes fractions to describe parts of a
whole using both regions and discrete sets ( ½, 1/3,
¼, 1/6, 1/8, 1/10’s)
• Compares fractions with like denominators and explores
comparisons of fractions with unlike, denominators using
models
Decimals
• Relates models separated into ten equal parts to
language of decimals (five tenths and point 5)
Essential Questions
• How can you show patterns in numbers?
• What are the different ways whole numbers can be written?
• How does the placement of a digit change its value?
• How can whole numbers be compared?
• What determines how a number is rounded to the nearest ten,
hundred, and thousand?
Rational Numbers
• Identifies rational numbers (whole number and simple
fraction) corresponding to a given point on the number
line
Essential Questions
• What are different ways to add and subtract whole
numbers?
• What are different ways to identify parts of a whole
number?
• How are fractions with like and unlike denominators
different?
Week 9
Date: Oct. 3-6
COMMON ASSESSMENTS
REVIEW AND PREVIEW
Number Sense
•Translates words to numerals and numerals to words (9,999 in
expanded form)
• Even/odd numbers
Weeks 5-8
Date: September 6 – September 30
Problem Solving, Vocabulary
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
• What are different ways to add/subtract numbers?
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
First Nine Weeks
Vocabulary
Weeks 1 – 4
Date: August 8 – September 2
Number Sense/Place Value
Value
Number line
Even
Odd
Skip-count
Digits
Standard
Expanded
Word
Benchmark
Sequencing
Greater
Less Than
Equal to
Estimation/Rounding
Rounding
Estimate
Addition/Subtraction
Addend
Total
Sum
Difference
Number sentence
Expression
Operation
Sign
Every Day Counts Calendar
Calendar: analyzing and predicting patterns;
odd/even; multiples of 3
Weeks 5-8
Date: September 6 – September 30
Addition/Subtraction
Addend
Total
Sum
Difference
Number sentence
Expression
Operation
Sign
Money/Time
Change
Amount
Minute
A.M. / P.M.
Noon
Midnight
Elapsed time
Schedule
Calendar
Quarter till
Quarter past
Fractions/Decimals/Whole Numbers
Whole numbers
Mixed numbers
Denominator
Numerator
Halves
Fourths
Thirds
Tenths
Hundredths
Decimal point
Equivalent
Calendar: analyzing and predicting patterns; odd/even; multiples of 3
Counting Tape: days in school number line; odd/even
Counting Tape: days in school number line;
odd/even
Daily Depositor: place value; estimation
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Daily Depositor: place value; estimation
Computation: understanding number
relationships; ‘doubles’ and ‘doubles plus one’
facts
Computation: understanding number relationships; ‘doubles’ and ‘doubles plus one’
facts
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Second
Nine
Weeks
Ongoing
Weeks 1 – 4
Date: October 11 – November 4
Weeks 5-8
Date: November 7 – December 9
Problem Solving, Vocabulary, Rounding
Number Theory
• Uses properties of addition and multiplication
(including commutative, associative, property of zero and
one)
Division
• Relates concrete/pictorial models to divide
• Relates multiplication and division using fact families
and models
• Uses repeated subtraction to divide one and two digit
numbers with and without remainder
Essential Questions
• How can you use models to divide two-digit by onedigit numbers?
• How are multiplication and division related?
• Why is it important to know your division facts?
• What are the strategies you can use to learn your
division facts?
Week 9
Date:
Dec. 12-16
COMMON ASSESSMENTS
REVIEW AND PREVIEW
Essential Questions
• How can you use models to multiply two-digit by one-digit
numbers?
• Why is it important to know your multiplication facts?
• What are the strategies you can use to learn your multiplication
facts?
MIDTERMS
Problem Solving, Vocabulary, Rounding
Multiplication
• Realizes/understands importance of knowing basic multiplication
facts
• Immediately recalls multiplication facts zero through twelve
• Multiplies whole numbers up to two-digit by one-digit numbers
(Use models and make connections to computational strategies)
• Relates concrete/pictorial models to multiply
• Determines a pair of numbers or missing element of pair when
given a relationship or rule (Algebra)
• Writes a number sentence representing an array
Weeks
4/5
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Second Nine Weeks
Vocabulary
Every Day Counts Calendar
Weeks 1 – 4
Date: October 11 – November 4
Multiplication
Multiply
Factors
Product
Sum
Array
Fact
Number Theory
Factors
Product
Sum
Calendar: analyzing / predict patterns; multiples of
5
Calendar: analyzing and predicting patterns; multiples of 3 and 4; exploring two
dimensional shapes
Counting Tape: days in school; counting by 1, 5,
and 10
Counting Tape: days in school; seeing 100 as sum of two addends
Daily Depositor: place value to the hundreds;
regrouping; mental math
Computation: understanding number
relationships; visualizing ‘ten plus’ facts
Coin Counter: counting mixed coins; creating coin
combinations for a given amount
Weeks 5-8
Date: November 7 – December 9
Division
Fact
Dividend
Quotient
Divisor
Remainder
Daily Depositor: exploring place value to the thousands; writing larger numbers;
expanded notation
Computation: understanding
number relationships; visualizing ‘9 plus’ facts; exploring multiplication as equal
groups of objects
Coin Counter: counting mixed coins; determining change from one dollar
Clock: reading time to the nearest minute
Clock: reading the hour hand; A.M. / P.M.
Measurement: measuring distance in feet and yards; seeing equivalences
Graph: collecting weather data at home and in
another city; constructing and interoperating graphs
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Third
Nine Weeks
Ongoing
Weeks 1 – 4
Date: January 4 – January 27
Probability
• Determines probability of a number given event through
exploration of vocabulary: equally likely, least likely, most likely,
possible, impossible
Essential Questions
• What are the steps involved in making and reading graphs?
• How can you use appropriate instruments to measure different
units?
• What every day objects can you measure?
• About how wide is your desk? About how much does your math
book weigh?
Week 9
Date:
March 6-9
Sets
• Identifies subsets of given sets
• Uses these terms: all, some, none
• Organizes elements of sets according to characteristics
such as: shading, color, shape, size, design, use, number
of sides
Geometry/Patterns
• Recognizes properties (sides/angles) of a triangle,
circle, rectangle, square, closed and not closed figures
• Recognizes and name solid figures – cylinders, cones,
spheres, cubes; sort according to size and shape
• Visualizes/draws, compares geometric shapes in various
positions/orientations (flip, slide, turn)
• Identifies geometric relations (parallel, inside, outside,
same size and shape (shorter, larger, smaller, longer),
Geometric transformations (same size/shape, different
position, line of symmetry)
• Identifies point, line, segment, ray, angles
• Describes, extends, and makes generalizations about
geometric and numeric patterns
Essential Questions
• How can you compare and contrast geometric shapes?
• How does the changing of a position of a geometric
shape change how it looks?
• How can you use shape to discover the missing piece of
a puzzle?
COMMON ASSESSMENTS
REVIEW AND PREVIEW
Graphs
• Organizes data into charts and tables and constructs bar graphs
using scales of 1, 2, 5, and 10. Pictographs using scales of 1, 2, 3,
4, 5, or 10 units.
• Collects, reads, interprets, and compares data in charts, tables,
and graphs.
Weeks 5-8
Date: January 30 – March 3
Problem Solving, Vocabulary, Rounding
MIDTERMS
Problem Solving, Vocabulary, Rounding
Measurement - Metric
• Uses appropriate instrument and unit (length, width, capacity,
weight, mass, time and temperature)
• Selects appropriate instruments and units (lengths, capacity,
distance, height, etc.)
• Measures using concrete materials, such as string, to find
circumference, squares and tiles to find area (Perimeter equals
adding sides, etc.)
• Estimates or predicts measures of length, weight, volume,
capacity and temperature.
Weeks
4/5
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Third Nine Weeks
Vocabulary
Weeks 1 – 4
Date: January 4 – January 27
Measurement - Metric
Perimeter
Area
Length
Width
Distance
Centimeter, Meter, Kilometer
Capacity
Volume
Milliliter, Liter
Weight
Mass
Gram, Kilogram
Temperature
Degree
Celsius
Graphs
Grid
Ordered Pair
Data
Every Day Counts Calendar
Probability
Likely (Least, Equally, More)
All
Some
None
Possible
Impossible
Calendar: creating daily number sentences (TE 49)
Counting Tape: investigating rounding to the nearest ten; noting
multiples of 3, 5, and 10;
Weeks 5-8
Date: January 30 – March 3
Sets
All
Some
None
Geometry
Side
Angle (Right, Acute, Obtuse)
Face
Set
Ray
Line
Line Segment
Parallel
Intersect
Flip
Slide
Turn
Closed
Open
Solid
Plane
Congruent
Similar
Horizontal
Vertical
Symmetrical
Calendar: exploring multiples of 4;
Counting Tape: noting multiples of 3,4,5 and 10
Daily Depositor: adding three numbers in sequence
Daily Depositor: investigating a pairing strategy for adding
numbers in a sequence
Computation: writing number sentences and stories
Computation: exploring multiples of 4
Coin Counter: counting by 25, 10, 5, and 1; determining fewest
coins for a given amount
Coin Counter: determining different coin combinations for $1;
using an organized list
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Measurement: capacity with cups and quarts; seeing equivalences
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Fourth
Nine Weeks
Ongoing
Weeks 1 – 4
Date: March 14 – April 13
Number Sentences
• Selects appropriate symbol ( +, number sentence
Essential Questions
• How can you use appropriate instruments to measure different
units?
• What every day objects can you measure?
• About how wide is your desk? About how much does your math
book weigh?
• How do you know which symbol to use in a number sentence?
Weeks 5-8
Date: April 17 – May 12
Problem Solving, Vocabulary, Rounding
MIDTERM QUIZ & END OF YEAR POST TEST
Problem Solving, Vocabulary, Rounding
Measurement - Customary
• Uses appropriate instrument and unit (length, width, capacity,
weight, mass, time and temperature)
• Selects appropriate instruments and units (lengths, capacity,
distance, height, etc.)
• Measures using concrete materials such as string to find
circumference, squares and tiles to find area (Perimeter equals
adding sides, etc.)
• Estimates or predicts measures of length, weight, volume,
capacity and temperature.
Weeks
4/5
CRCT – April 19-25
Review and enrich third grade skills as needed
Preview fourth grade skills
Week 9-10
Date:
May 15-24
3rd Grade Math Curriculum Map (2005-06)
(Revised 5/04/05)
Fourth Nine Weeks
Vocabulary
Weeks 1 – 4
Date: March 14 – April 13
Measurement – Customary
Perimeter
Area
Length
Width
Distance
Inch, Foot, Yard, Mile
Capacity
Volume
Cup, Pint, Quart, Gallon
Weight
Mass
Ounce, Pound
Temperature
Degree
Fahrenheit
Weeks 5-8
Date: April 17 – May 12
Review third grade vocabulary
and
Preview fourth grade vocabulary
Number Sentences
Number sentence
Expression
Operation
Sign
Equivalent
Every Day Counts Calendar
Calendar: exploring fractions; half, third, fourth; whole numbers
Calendar: symmetry / congruence; multiples of 3, 6
Counting Tape: problem solving
Counting Tape: noting multiples of 3,4,5,6, and 10
Daily Depositor: rounding to nearest hundreds
Daily Depositor: strategies for arriving at the sum; mental math and
estimation
Computation: exploring the concept of multiplication with multiples
of 10; mental math
Computation: exploring the concept of division through sharing
equally in a group; remainders
Coin Counter: problem solving with mixed coins;
Clock: adding / subtracting hours from a given clock
Measurement: distances in centimeters and meters
Measurement: weights in ounces and pounds
Graph: data collection through polls; constructing and interpreting
graphs