Charles City Community Schools Math Standards and Benchmarks Grades 3-5
I = Introduce, D = Develop, A=Assess, M = Maintain
MC/GF = Multicultual Gender Fair Approaches; CE=Career Education; GE=Global Education
ITBS/ITED
May, 2009
Content Standard #1. Effectively uses a variety of strategies in the problem-solving process
3
4
5
MC/GF
CE
A
A
A Communicates with words or pictures to show their understanding of the problem
x
x
A
A
A Justifies methods and reasoning behind the solution
x
x
A
A
A States what they know based on information from the problem
x
x
A
A
A Solves problems by choosing the method of computation
x
x
A
A
A States how they got their solution
x
x
3
Problem Solving Activities
Calculator use: multiple step, Exemplars
4
Problem Solving Activities
•Exemplars
•Peer discussion
•States or restates problem
Calculator use: multiple step, Exemplars
GE
5
Problem Solving Activities
Calculator use: multiple step, Exemplars
Content Standard #2. Understands and applies basic and advanced properties of the concept of numbers
3
4
5
MC/GF
A
A
M
Understands how to represent, compare and order numbers
A
M
M
Understands odd/even numbers
I
IA Understands basic characteristics of decimals, fractions, and mixed numbers
I
IA Understands decimals, fractions, and mixed numbers
A
A
A
Understands standard, expanded, and word form of numbers
IA
A
A
Understands rules of divisibility
Page 1
CE
GE
3
Cardinal numbers
Ordinal numbers
Numbers through hundred thousands
Calculator use: ordering numbers, expanded, standard
Divisible by 2
Intro to equivalent fractions
Intro to modeling mixed numbers
4
Review odd/even
Divisibility by 2, 5, 10
Thousands to hundred millions
Calculator use: ordering numbers, expanded, standard,
odd/even
Intro decimal numbers to hundredths
Intro to modeling of mixed numbers and improper
fractions
Review equivalent fractions of ¼, ½, 1/3 to
denominator of 12
5
Concrete representations
Primes, composites, square numbers, multiples, and
fractions
Thousandths to hundred billions
Calculator use: ordering numbers, expanded, standard,
model decimals
Divisible by 2, 3, 5, 6, 9, 10
Content Standard #3. Uses basic and advanced procedures while performing the process of computation
3
4
5
MC/GF
A
A
M
I
IA
IA Adds, subtracts, multiplies fractions and mixed numbers with like and unlike denominators
CE
GE
Adds, subtracts, multiplies, and divides whole numbers
IA Adds, subtracts, multiplies decimal
A
A
A
Estimates the result of whole number computation
3
Adds and subtracts up to 4 digit whole numbers
with regrouping and multiplies basic facts 0 - 10
Multiplies up to a 3 digit by a 1 digit number with
carrying
Intro to division facts 0 to 10
Adds and subtracts to thousands
Calculator use: concept explanation, not computation
Rounds to thousands
4
Adds, subtracts, multiplies , divides, and rounds
problems using money
Add/subtracts up to 4 digit whole numbers
Multiplies up to a 3-digit by a 2-digit number
Divides to solve for a 2-digit quotient with a
remainder written as a regular remainder and as a
fraction
Divide basic facts 0-10
Rounds to millions
Calculator use: concept explanation, not computation
Adds and subtracts fractions with like
denominators. No regrouping of fractions or mixed
numbers.
Page 2
5
Divides with a 2-digit divisor
Review multiplication of 3 digit by 2 digit
Rounds thousandths to millions
Calculator use: concept explanation, not computation
Adds, subtracts, decimals to thousand
Multiplies decimal to hundreths
Content Standard #4. Understands and applies basic and advanced properties of the concept of measurement
3
4
5
MC/GF
A
A
A Understands time
A
A
A Selects and uses appropriate units of linear measurement
x
A
A
A Selects and uses appropriate tools for given linear measurement situation
x
A
A
A Understands money
I
A
A Develops, understands, and uses formula to find perimeter, area, and volume
3
Measuring using feet
1-minute intervals
Quarter hour
Recognize all coins
Calculate value of coins up to $1.00
$1 bill, $5 bill
Calculator use: time – show you can’t do hour and
minute on calculator, money
CE
GE
x
4
x
5
Measure in yards
Inches and feet – Measure to ½”
Represent a monetary amount up to $5.00
Calculator use: time – show you can’t do hour and
minute on calculator, money
Area and perimeter
Squares and rectangles
Elapsed time
Measure in miles
Measure to the ¼”
Rulers, yardsticks
Represent a monetary amount up to $10.00
Calculator use: time – show you can’t do hour and
minute on calculator, money
Area of circle, parallelogram, triangle
Elapsed time
Volume of rectangular prism
Content Standard #5. Understands and applies basic and advanced properties of the concepts of geometry
3
4
5
I
IA
M
Knows characteristics of lines and angles
ID
D
A
Knows basic geometric language for naming and describing solid and plane figures
A
A
A
Understands basic properties of figures
3
MC/GF
Review circles, rectangles, square, triangle
Open figures, closed figures, 3 –D figures
4
Angles - right, acute, obtuse
Open figures, closed figures
Ray, line, line segment
Parallel , perpendicular, intersecting
Review 3 – D figures
Page 3
5
Polygons
2 & 3 dimensional figures
Symmetry
Review perimeter and area
CE
GE
Content Standard #6. Understands and applies basic and advanced concepts of data analysis and probability
3
4
5
MC/GF
D
A
A Collects data to answer questions
A
A
A Reads and interprets charts, tables, and graphs to solve mathematical problems
CE
GE
D D A Constructs charts, tables, and graphs to solve mathematical problems
D A Understands mean, median, mode, and range
3
Picture graphs
Bar graphs
Coordinate graphing
4
Bar graph
Line graph
Calculator use: data organization
5
Bar graph
Line graph
Circle graph
Calculator use: data summary
Content Standard #7. Understands and applies basic and advanced properties of relationships, functions and algebra
3
4
5
MC/GF CE
I
A
A Solves simple open sentences involving operations of whole numbers
A
A
A Identifies and continues color, number, and shape patterns
D D A Identifies the rules that explain patterns
3
Calculator use: number patterns
4
5
Applies to addition, subtraction, multiplication, and Calculator use: input/output
division e.g., ? + 17 = 23
Review number and shape patterns
Page 4
GE