3Rd Grade Math Curriculum Map (2005-06)

3rd Grade Math Curriculum Map (2005-06)

(Revised 5/04/05)

First
Nine Weeks / Weeks 1 – 4
Date: August 8 – September 2 / Weeks 4/5 / Weeks 5-8
Date: September 6 – September 30 / Week 9
Date: Oct. 3-6
Ongoing / Problem Solving, Vocabulary / Problem Solving, Vocabulary
Number Sense
•Translates words to numerals and numerals to words (9,999 in expanded form)
• Even/odd numbers
Place Value
• Identifies 1’s, 10’s, 100’s, 1,000’s, 10,000’s
• Relates concrete and pictorial models to numbers through thousands
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 / / 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)
Rational Numbers
• Identifies rational numbers (whole number and simple fraction) corresponding to a given point on the number line /
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?
• What are different ways to add/subtract numbers? / 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?
First Nine Weeks / Weeks 1 – 4
Date: August 8 – September 2 / Weeks 5-8
Date: September 6 – September 30
Vocabulary / 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 / 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
Every Day Counts Calendar / Calendar: analyzing and predicting patterns; odd/even; multiples of 3
Counting Tape: days in school number line; odd/even
Daily Depositor: place value; estimation
Computation: understanding number relationships; ‘doubles’ and ‘doubles plus one’ facts / Calendar: analyzing and predicting patterns; odd/even; multiples of 3
Counting Tape: days in school number line; odd/even
Daily Depositor: place value; estimation
Computation: understanding number relationships; ‘doubles’ and ‘doubles plus one’ facts
Second
Nine Weeks / Weeks 1 – 4
Date: October 11 – November 4 / Weeks 4/5 / Weeks 5-8
Date: November 7 – December 9 / Week 9
Date:
Dec. 12-16
Ongoing / Problem Solving, Vocabulary, Rounding / 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 / / 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 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? / Essential Questions
• How can you use models to divide two-digit by one-digit 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?
Second Nine Weeks / Weeks 1 – 4
Date: October 11 – November 4 / Weeks 5-8
Date: November 7 – December 9
Vocabulary / Multiplication
Multiply
Factors
Product
Sum
Array
Fact / Number Theory
Factors
Product
Sum
Division
Fact
Dividend
Quotient
Divisor
Remainder
Every Day Counts Calendar / Calendar: analyzing / predict patterns; multiples of 5
Counting Tape: days in school; counting by 1, 5, and 10
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
Clock: reading the hour hand; A.M. / P.M.
Graph: collecting weather data at home and in another city; constructing and interoperating graphs / Calendar: analyzing and predicting patterns; multiples of 3 and 4; exploring two dimensional shapes
Counting Tape: days in school; seeing 100 as sum of two addends
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
Measurement: measuring distance in feet and yards; seeing equivalences
Third
Nine Weeks / Weeks 1 – 4
Date: January 4 – January 27 / Weeks
4/5 / Weeks 5-8
Date: January 30 – March 3 / Week 9
Date:
March 6-9
Ongoing / Problem Solving, Vocabulary, Rounding / 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.

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.
Probability
• Determines probability of a number given event through exploration of vocabulary: equally likely, least likely, most likely, possible, impossible / / 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
• 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? / 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?
Third Nine Weeks / Weeks 1 – 4
Date: January 4 – January 27 / Weeks 5-8
Date: January 30 – March 3
Vocabulary / 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
Probability
Likely (Least, Equally, More)
All
Some
None
Possible
Impossible / 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
Every Day Counts Calendar / Calendar: creating daily number sentences (TE 49)
Counting Tape: investigating rounding to the nearest ten; noting multiples of 3, 5, and 10;
Daily Depositor: adding three numbers in sequence
Computation: writing number sentences and stories
Coin Counter: counting by 25, 10, 5, and 1; determining fewest coins for a given amount / Calendar: exploring multiples of 4;
Counting Tape: noting multiples of 3,4,5 and 10
Daily Depositor: investigating a pairing strategy for adding numbers in a sequence
Computation: exploring multiples of 4
Coin Counter: determining different coin combinations for $1; using an organized list
Measurement: capacity with cups and quarts; seeing equivalences
Fourth
Nine Weeks / Weeks 1 – 4
Date: March 14 – April 13 / Weeks
4/5 / Weeks 5-8
Date: April 17 – May 12 / Week 9-10
Date:
May 15-24
Ongoing / Problem Solving, Vocabulary, Rounding / 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.
Number Sentences
• Selects appropriate symbol ( +, -, x, , >, <, =) for use in a number sentence / /
Review and enrich third grade skills as needed
Preview fourth grade skills
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?
Fourth Nine Weeks / Weeks 1 – 4
Date: March 14 – April 13 / Weeks 5-8
Date: April 17 – May 12
Vocabulary / Measurement – Customary
Perimeter
Area
Length
Width
Distance
Inch, Foot, Yard, Mile
Capacity
Volume
Cup, Pint, Quart, Gallon
Weight
Mass
Ounce, Pound
Temperature
Degree
Fahrenheit
Number Sentences
Number sentence
Expression
Operation
Sign
Equivalent / Review third grade vocabulary
and
Preview fourth grade vocabulary
Every Day Counts Calendar / Calendar: exploring fractions; half, third, fourth; whole numbers
Counting Tape: problem solving
Daily Depositor: rounding to nearest hundreds
Computation: exploring the concept of multiplication with multiples of 10; mental math
Coin Counter: problem solving with mixed coins;
Measurement: distances in centimeters and meters
Graph: data collection through polls; constructing and interpreting graphs / Calendar: symmetry / congruence; multiples of 3, 6
Counting Tape: noting multiples of 3,4,5,6, and 10
Daily Depositor: strategies for arriving at the sum; mental math and estimation
Computation: exploring the concept of division through sharing equally in a group; remainders
Clock: adding / subtracting hours from a given clock
Measurement: weights in ounces and pounds