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4th Grade Math Curriculum Map
Page 1 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15,
4.S.1, 4.S.2, 4.S.3, 4.S.5,
4.S.6.
• Connecting Mathematics and Science to real-world situations.
• Gathering, organizing, graphing, and analyzing data.
• Making and interpreting bar graphs. • Establishing norms for working cooperatively. • Naming values of variables. • Describing a classroom of students using
variables.
Unit 1: Data About Us Lesson 1: Getting to Know Room 204
• Bar Graph • Horizontal
Axis • Value • Variable • Vertical Axis
1 4.N.14, 4.N.15,
4.S.1, 4.S.2, 4.S.3, 4.S.5,
4.S.6.
• Connecting Mathematics and Science to real-world situations.
• Naming values and variables. • Distinguishing between categorical and
numerical variables. • Describing a classroom of students using
numerical Variables. • Collecting, Organizing graphing, and analyzing
data. • Making and interpreting bar graphs
Unit 1: Data About Us Lesson 2: Getting to know Room 204 a Little Better
• Bar Graph • Categorical
variable • Horizontal
axis • Numerical
variable • Value • Variable • Vertical Axis
1
4.N.14, 4.N.15, 4.G.1, 4.M.9, 4.S.1, 4.S.2, 4.S.3, 4.S.5,
4.S.6.
• Connecting mathematics and science to real-world situations.
• Investigating the concept of average as a representative value for a data set.
• Averaging: finding the median
Unit 1: Data About Us Lesson 3: An Average Activity
• Average • Median
1 4.N.14, 4.N.15, 4.M.2, 4.S.4, 4.S.5, 4.S.6.
• Using the TIMS Laboratory Method to solve problems.
• Using Patterns in data tables and graphs to make predictions.
• Solving problems in more than one way. • Connecting mathematics and language arts.
Unit 1: Data About Us Optional Lesson 4: The Four Servants
• Horizontal axis
• Vertical axis
4th Grade Math Curriculum Map
Page 2 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1
4.N.14, 4.N.15, 4.M.3, 4.M.9, 4.S.1, 4.S.2, 4.S.3, 4.S.4, 4.S.5, 4.S.6.
• Connecting mathematics and science to real-world situations.
• Investigating the relationship between arm span and height.
• Translating between graphs and real-world data. • Measuring length in Inches. • Representing data in a point graph. • Using patterns in tables and graphs to make
predictions.
Unit 1: Data About Us Lesson 5: Arm Span vs. Height
• Fixed Variables
• Point Graph
1 4.N.14, 4.N.15, 4.M.1, 4.N.26,
4.N.27.
• Solving multi-step word problems. • Estimating quantities. • Choosing appropriate methods and tools to
calculate (calculator, pencil and paper, or mental math).
• Communicating solutions orally and in writing.
Unit 1: Data About Us Lesson 6: Solving Problems About Room 204
• Convenient numbers
• Estimation • Reasonable
1 4.N.14, 4.N.15, 4.G.3, 4.G.4,
4.M.1, M 4.M.9.
• Finding the perimeters of irregular polygons • Finding the area of irregular polygons • Using measurement to solve problems • Communicating strategies and solutions in
problem solving
Unit 2 Geometric Investigations: A Baseline Assessment Unit Lesson 1: Investigating Perimeter and Area
• Area • Length • Perimeter • Square inch • Unit of
measurement
4th Grade Math Curriculum Map
Page 3 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1
4.N.14, 4.N.15, 4.G.3, 4.G.4, 4.M.9, 4.S.3, 4.S.4, 4.S.5,
4.S.6.
• Investigating the relationship between length and perimeter
• Collecting, organizing, graphing, and analyzing data
• Using patterns in tables and graphs to make generalization about data
• Using geometric concepts to solve problems • Using numerical variables • Measuring length in inches • Finding perimeters in rectangles • Making and interpreting point graphs
Unit 2 Geometric Investigations: A Baseline Assessment Unit Lesson 2: Perimeter vs. Length
• Bar graph • Best-fit line • Categorical; • Fixed
variable • Length • Numerical • Perimeter • Point graph • Variable • Width
1 4.N.14, 4.N.15, 4.G.3, 4.G.4. • Communicating solution strategies
Unit 2 Geometric Investigations: A Baseline Assessment Unit Lesson 3: Letter to Myrna
• Length • Perimeter • Width
1 4.N.14, 4.N.15, 4.G.7, 4.G.8.
• Identifying acute, right, and obtuse angles • Estimating degree measures of angles
Unit 2 Geometric Investigations: A Baseline Assessment Unit Lesson 6: Angles
• Acute angles
• Angle • Degree • Obtuse
angle • Right angle • Side vertex
4th Grade Math Curriculum Map
Page 4 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15, 4.G.1, 4.G.3,
4.G.8.
• Identifying acute, obtuse, and right angles • Finding degree measures of angles • Communicating solutions
Unit 2 Geometric Investigations: A Baseline Assessment Unit Lesson 7: Angles in Pattern Blocks
• Equilateral triangle
• Hexagon • Quadrilateral • Rhombus • Square • Trapezoid
1 4.N.14, 4.N.15 • Unit 9 Shapes and Solids Lesson 5: Prisms •
1 4.N.14, 4.N.15, 4.N.16, 4.M.8.
• Self-assessing the multiplication and division facts for the 5s and 10s
• Using known multiplication facts to learn related division facts
• Multiplying by 0 and 1 • Writing the four related number sentences in a
fact family
Unit 3 Numbers and Number Operations Lesson 1: Multiplying and dividing with 5’s and 10’s
• Dividend • Division
sentence • Divisor • Fact family • Factors • Product • Quotient • Turn-around
facts
1 4.N.14, 4.N.15,
4.N.2, 4.N.3, 4.N.4, 4.N.5,
4.M.10.
• Understanding place value: tens and ones • Grouping and counting by tens and ones • Translating between different representations of
numbers (concrete, pictorial, symbolic) • Representing 2-digit numbers wit base-ten
pieces
Unit 3 Numbers and Number Operations Lesson 3: Place Value
• Base-ten pieces
• Bits • Fewest
Pieces Rule • Place value • Skinnies
4th Grade Math Curriculum Map
Page 5 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15,
4.N.2, 4.N.3, 4.N.4, 4.N.5.
• Understanding place value: hundreds and thousands
• Representing large numbers using base-ten pieces
• Translating between different representations of numbers (concrete, pictorial, symbolic)
• Developing numbers sense for large numbers
Unit 3 Numbers and Number Operations Lesson 4: The TIMS Candy Company
• Base-ten pieces
• Base-ten shorthand
• Bits • Fewest
Pieces Rule • Flats • Packs • Place value • Skinnies
1 4.N.14, 4.N.15,
4.N.2, 4.N.4, 4.N.5, 4.N.26.
• Understanding place value: hundreds and thousands
• Representing addition and subtraction with base-ten pieces
• Estimating sums and differences
Unit 3 Numbers and Number Operations Lesson 5: Addition and Subtraction
• (None)
1 4.N.14, 4.N.15 • Exploring negative numbers • Representing positive and negative integers on
a number line
Unit 3 Numbers and Number Operations Lesson 6: What’s Below Zero
• Negative number
• Positive number
4th Grade Math Curriculum Map
Page 6 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15, 4.G.3, 4.G.4,
4.N.26, 4.N.27.
• Adding and subtracting using paper and pencil • Solving problems involving addition and
subtraction • Choosing to find an estimate or an exact answer • Estimating sums and differences • Solving multi-step word problems • Communicating solutions orally and in writing • Connecting mathematics and real-life situations • Choosing appropriate methods of tools to
calculate (calculator, paper and pencil, or mental math)
Unit 3 Numbers and Number Operations Lesson 7: At the Hardware Store
• (None)
1 4.N.14, 4.N.15,
4.A.5, 4.G.8, 4.N.13.
• Identifying prime, composite, and square numbers
• Exploring multiplication through rectangular arrays
• Using exponents to write square numbers • Finding all the factors of a number using
rectangular arrays • Exploring fact families using rectangular arrays
Unit 4 Products and Factors Lesson 1: Multiplication and Rectangles
• Array • Commutative Property of multiplication or turn-around rule • Composite
number • Even number • Exponent • Multiple • Odd number • Prime
number • Square
number
1 4.N.14, 4.N.15, 4.G.4, 4.M.3,
4.N.22, 4.N.13.
• Identifying prime numbers • Finding factors using rectangular arrays and
calculator
Unit 4 Products and Factors Lesson 2: Factors
• Factor
4th Grade Math Curriculum Map
Page 7 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15,
4.N.13.
• Practicing multiplication facts • Representing multiplication problems using
arrays
Unit 4 Products and Factors Lesson 3: Floor Tiler • Product
1 4.N.14, 4.N.15, 4.N.13, 4.M.9.
• Finding products of more than two factors • Using factor trees to find the prime factors of a
number • Solving problems involving multiples, factors,
prime and square numbers • Using exponents • Explaining mathematical reasoning
Unit 4 Products and Factors Lesson 4: Prime Factors
• Exponent • Factor tree • Prime factor • Prime
factorization
1 4.N.14, 4.N.15,
4.N.13.
• Solving problems involving multiples, factors, and primes
• Practicing the multiplication facts • Explaining mathematical reasoning
Unit 4 Products and Factors Lesson 5: Product Bingo
• Factor • Product
1 4.N.14, 4.N.15,
4.N.18.
• Solving multistep word problems using multiplication and division
• Choosing appropriate methods and tools to calculate (calculator, paper and pencil, mental math, or estimation)
• Connecting mathematics to real-life situations • Communicating solutions verbally and in writing
Unit 4 Products and Factors Lesson 6: Multiplying to Solve Problems
• (None)
1
4.N.14, 4.N.15, 4.A.4, 4.S.3, 4.S.4, 4.S.5,
4.S.6.
• Using patterns in graphs to make predictions about data
• Drawing and interpreting best-fit lines • Connecting mathematics to real world situations
Unit 5 Using Data to Predict Lesson 1: Predictions from Graphs
• Best-fit lines • Extrapolatio
n • Interpolation
4th Grade Math Curriculum Map
Page 8 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
1 4.N.14, 4.N.15, 4.M.9.
• Investigating the concept of averages as a representative value for a data set
• Averaging: finding the median and mean • Connecting mathematics to real-world situations
Unit 5 Using Data to Predict Lesson 2: Another Average Activity
• Average • Mean • Median
1 4.N.14, 4.N.15, 4.M.1, 4.S.1, 4.S.2, 4.S.3.
• Investigating the concept of averages as a representative value for a data set
• Averaging: finding the mean
Unit 5 Using Data to Predict Lesson 3: The meaning of the Mean
• Circumference
• Mean
1
4.N.14, 4.N.15, 4.G.3, 4.G.8, 4.M.1, 4.M.2, 4.S.1, 4.S.2, 4.S.3, 4.S.4, 4.S.5, 4.S.6.
• Measuring length in centimeters • Identifying and using variables in an experiment • Using patterns in tables and graphs to make
predictions and solve problems • Collecting, organizing, graphing, and analyzing
data • Making and interpreting point graphs • Drawing best-fit lines
Unit 5 Using Data to Predict Lesson 4: Bouncing Ball
• Best fit line • Fixed
variable • Manipulated
variable • Responding
variable
2 4.N.14, 4.N.15,
4.S.4, 4.S.5, 4.S.6.
• Solving multistep word problems by interpreting and analyzing a set of data
• Connecting mathematics to real-world situations • Communicating solutions verbally and in writing • Drawing and interpreting best-fit lines • Using patterns in graphs to make predictions
Unit 5 Using Data to Predict Lesson 7: Speeds at the Indianapolis 500
• (None)
2 4.N.14, 4.N.15, 4.G.8.
• Assessing concept and skills since the beginning of the year
Unit 5 Using Data to Predict Lesson 8: Midterm Test •
4th Grade Math Curriculum Map
Page 9 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2 4.N.14, 4.N.15,
4.N.1, 4.N.2, 4.N.3, 4.N.4.
• Reading and writing large numbers to the millions
• Comparing and ordering large numbers to the millions
• Connecting mathematics and science to real-world situations
• Developing number sense for large numbers to the millions
• Understanding place value to the millions
Unit 6 Place Value Patterns Lesson 1: Newswire
• Acre • Millions • Ones • Period • Place-value • Thousands
2 4.N.14, 4.N.15, 4.S.5.
• Investigating large numbers • Using diagrams to solve problems • Using patterns in data tables to solve problems • Developing number sense for large numbers
Unit 6 Place Value Patterns Lesson 2: Doubles • Powers of 2
2 4.N.14, 4.N.15,
4.N.1, 4.N.2, 4.N.3, 4.N.4.
• Representing large numbers with base ten pieces
• Linking the powers of ten to the place value system
• Understanding place value • Translating between different representations of
large numbers (concrete, pictorial, and symbolic) • Developing number sense for large numbers
Unit 6 Place Value Patterns Optional Lesson 3: Big Base-Ten Pieces
• Megabit • Period • Place value • Super bit • Super flat • Super
skinny
2 4.N.14, 4.N.15,
4.N.1, 4.N.2, 4.N.3, 4.N.4,
4.N.26.
• Developing number sense for large numbers • Using a number line to represent large numbers • Using benchmark numbers to order large
numbers (from 1,000 to 1,000,000)
Unit 6 Place Value Patterns Optional Lesson 4: News and Number Line
• Benchmarks • Million • Rounding
2 4.N.14, 4.N.15, 4.N.26.
• Estimating the number of objects in a collection • Estimating 10% of a number • Using 10% as a standard for error analysis
Unit 6 Place Value Patterns Lesson 5: Close Enough
• Estimate • Within 10%
4th Grade Math Curriculum Map
Page 10 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2 4.N.14, 4.N.15, Supplemental lesson on estimating and rounding to prepare students for Unit 6 lesson 6
2
4.N.14, 4.N.15, 4.A.4, 4.A.5, 4.N.2, 4.N.3, 4.N.4, 4.N.26,
4.N.27.
• Using benchmarks to round numbers • Choosing appropriate convenient numbers • Estimating sums and differences of large
numbers
Unit 6 Place Value Patterns Lesson 6: Using Estimation
• Benchmark • Rounded
number
4th Grade Math Curriculum Map
Page 11 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2 4.N.14, 4.N.15 • Maintaining fluency for the multiplication facts for the 5s and 9s
Unit 6 Place Value Patterns Lesson 7: 9 – 5 War • Product
2 4.N.14, 4.N.15 • Following the conventional order of operations
Unit 7 Patterns in Multiplication Optional Lesson 1: Order of Operations
• Operation • Order of
operation
2 4.N.14, 4.N.15, 4.N.13, 4.N.16, 4.N.17, 4.S.5.
• Identifying and describing patters in the multiples of 2, 3, 5, 6,9, and 10
• Exploring the inverse relationship between multiplication and division
• Determining whether a number is divisible by 2, 3, 5, 6, 9, or 10
• Developing number sense
Unit 7 Patterns in Multiplication Lesson 2: Divisibility Rules
• Divisible • Factor • Multiple • Remainder
2 4.N.14, 4.N.15, 4.N.18, 4.N.19,
4.N.20.
• Understanding multiplication as repeated addition
• Using patterns to multiply numbers with ending 0s
• Using unknowns in number sentences
Unit 7 Patterns in Multiplication Lesson 4: Multiplying by 10’s
• Multiple • Products
2 4.N.14, 4.N.15, 4.N.18, 4.N.20.
• Representing multiplication using base 10 pieces
• Multiplying one digit by two digit numbers using paper and pencil
•
Unit 7 Patterns in Multiplication Lesson 5: Multiplication
• All-partials method of multiplication
•
2 4.N.14, 4.N.15, 4.N.16, 4.N.20, 4.N.21, 4.N.26,
4.N.27
• Choosing to find an estimate or an exact answer • Choosing convenient numbers • Estimating sums, differences, and products
Unit 7 Patterns in Multiplication Lesson 6: Estimation
• Convenient numbers
• Estimation
4th Grade Math Curriculum Map
Page 12 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2 4.N.14, 4.N.15, 4.G.3, 4.N.18, 4.N.19, 4.N.20, 4.N.26, 4.N.27.
• Multiplying multi-digit numbers with ending 0s • Estimating products
Unit 7 Patterns in Multiplication Lesson 7: Multiplying Round Numbers
• (None)
2 4.N.14, 4.N.15, 4.N.16, 4.N.17,
4.N.21.
• Solving multi-step word problems • Solving problems involving multiplication • Choosing whether to estimate or find an exact
answer • Connecting mathematics to real-life situations • Communicating solutions verbally and in writing
Unit 7 Patterns in Multiplication Lesson 8: A Camping Trip • (None)
2
4.N.14, 4.N.15, 4.G.6, 4.N.2, 4.N.3, 4.N.4,
4.N.18, 4.N.20, 4.A.1.
• Representing multiplication with base 10 pieces • Multiplying multi-digit problems with ending 0s • Estimating products • Using multiplication sentences • Multiplying one digit by two digit numbers using
paper and pencil using the all partials method
Unit 11: Multiplication Lesson 1: Modeling and Multiplication
• Multiplicands
2 4.N.14, 4.N.15, 4.N.7, 4.N.18, 4.N.20, 4.M.6,
4.M.7.
• Representing multiplication with base 10 pieces • Using the all partials method to multiply one digit
by multi digit numbers • Estimating products • Visualizing products • Multiplying numbers with ending 0s
Unit 11: Multiplication Lesson 2 More Multiplication • (None)
2 4.N.14, 4.N.15, 4.N.8, 4.N.18,
4.N.20, 4.N.26.
• Multiplying using paper and pencil method • Comparing the compact method and the all
partials method of multiplication
Unit 11: Multiplication Lesson 3 Compact Multiplication
• Carry • Compact
method of multiplication
4th Grade Math Curriculum Map
Page 13 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2
4.N.14, 4.N.15, 4.N.4, 4.N.5,
4.N.18, 4.N.19, 4.N.20, 4.M.6, 4.M.7, 4.M.8.
• Representing multiplication with base 10 pieces and base 10 shorthand
• Understanding paper and pencil methods of multiplication
• Multiplying 2 digit by 2 digit numbers by using paper and pencil
• Estimating products
Unit 11: Multiplication Lesson 4: All Partials Revisited • (None)
2 4.N.14, 4.N.15, 4.N.19.
• Multiplying 2 digit by 2 digit numbers using the compact method
Unit 11: Multiplication Lesson 5: More Compact Multiplication
• (None)
2 4.N.14, 4.N.15, 4.N.19, 4.N.27.
• Multiplying 2 digit by 2 digit numbers using paper and pencil
• Estimating products • Solving multi-step word problems
Unit 11: Multiplication Lesson 7: Visiting Egypt • (None)
2 4.N.14, 4.N.15
• Planning and conducting a survey • Collecting, organizing, graphing, and analyzing
data • Binning data • Using multiplication and division to solve
problems involving time • Averaging: finding the mean
Unit 13: Division Lesson 1: TV Survey
• Binning • Survey
2
4.N.14, 4.N.15, 4.N.8, 4.N.16,
4.N.17, 4.N.20, 4.N.21, 4.N.22,
4.A.1.
• Representing division using base 10 pieces • Connecting the symbols with division
situations • Dividing with 1 digit divisor and 2 digit dividends
using paper and pencil • Interpreting remainders in estimating quotients
Unit 13: Division Lesson 2: Division
• Dividend • Forgiving
method of division
• Quotient • Remainder
4th Grade Math Curriculum Map
Page 14 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
2 4.N.14, 4.N.15, 4.N.16, 4.N.17, 4.N.20, 4.N.21, 4.N.22, 4.A.1.
• Representing division using base 10 pieces • Dividing with 1 digit divisors with 3 and 4 digit
dividends using paper and pencils • Estimating quotients • Interpreting remainders
Unit 13: Division Lesson 3: More Division • (None)
2 4.N.14, 4.N.15, 4.N.16, 4.N.17, 4.N.21, 4.N.22,
4.A.1.
• Solving problems involving multiplication and division
• Choosing appropriate methods of computation • Dividing with 0s
Unit 13: Division Lesson 4: Solving Problems using Multiplication and Division
• Unique solution
2 4.N.14, 4.N.15, 4.A.4, 4.N.23,
4.M.8.
• Measuring length in cm • Collecting data over time • Identifying the manipulated, responding, and
fixed variables in an experiment • Connecting mathematics and science in real-
world situations: measuring plant growth
Unit 13: Division Lesson 5: Plant Growth
• Fixed variable
• Manipulated variable
• Responding variable
• Scientific time
3 4.N.14, 4.N.15, 4.S.2.
• Defining probability • Representing probabilities on a number line • Connecting mathematics and the real-world
situations: estimating probabilities of real-world events
• Expressing probabilities using qualitative terms: certain, likely, unlikely, impossible
Unit 14 Chancy Predictions Lesson 1: Chance Discussions
• Certain • Impossible • Likely • Unlikely • Probability
3 4.N.14, 4.N.15, 4.S.2.
• Making predictions about the outcomes of a random process: rolling one number cube
• Exploring situations that have outcomes that are equally likely
Unit 14 Chancy Predictions Lesson 2: Bean Counter’s Game
• Number cube
4th Grade Math Curriculum Map
Page 15 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
3 4.N.14, 4.N.15,
4.S.2, 4.S.3, 4.S.5, 4.S.6.
• Exploring situations that have outcomes that are equally likely
• Collecting and analyzing data from a random process
• Making predictions about the outcome of a random process: rolling one number cube
• Identifying patterns that emerge as the number of random events increases
• Finding probability in rolling a number cube • Using probability to make predictions • Expressing probabilities as fractions • Comparing probabilities to real-world data:
rolling one number cube • Making and interpreting bar graphs • Collecting, organizing, graphing and analyzing
data
Unit 14 Chancy Predictions Lesson 3: Rolling a number Cube
• Fair number cube
• Probability
3 4.N.14, 4.N.15,
4.G.6, 4.S.2, 4.S.3, 4.S.5,
4.S.6.
• Collecting, organizing, graphing and analyzing data
• Making and interpreting bar graphs • Dividing a circle by drawing angles using a
protractor • Exploring situations that have outcomes that are
equally likely • Comparing probabilities with real-world data:
spinning a spinner • Identifying patterns that emerge as the number
of random events increases
Unit 14 Chancy Predictions Lesson 4: From Number Cubes to Spinners
• (None)
4th Grade Math Curriculum Map
Page 16 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
3 4.N.14, 4.N.15,
4.S.2, 4.S.3, 4.S.5, 4.S.6.
• Exploring situations that have outcomes that are not equally likely
• Comparing probabilities with real-world data: spinning spinners
• Expressing probability as fractions • Using the word “or” in a probability problem • Collecting, organizing, graphing and analyzing
data • Making and interpreting bar graphs
Unit 14 Chancy Predictions Lesson 5: Exploring Spinners • Fair spinner
3 4.N.14, 4.N.15,
4.S.2, 4.S.3, 4.S.5, 4.S.6.
• Creating spinners from spin data • Interpreting bar graphs • Using probabilities to make predictions • Comparing probability to real-world data
Unit 14 Chancy Predictions Lesson 6: Make Your Own Spinners • (None)
3
4.N.14, 4.N.15, 4.S.1, 4.S.3, 4.S.4, 4.S.5,
4.S.6.
• Collecting, organizing, graphing and analyzing data
• Measuring length in cm • Making and interpreting point graphs • Investigating how a change in one variable
relates to a change in a second variable • Identifying and describing situations with varying
rates of change • Using data to make predictions • Connecting math and science to real-world
events: measuring plant growth
Unit 15 Using Patterns Lesson 1: Plant Growth Conclusion • (None)
3 4.N.14, 4.N.15
• Collecting and organizing data • Connecting mathematics and science to real-
world events: investigating the relationship between light and plant growth
Unit 15 Using Patterns Lesson 2: Problems and Practice
• Canopy • Clear cut • Gap • Germinate • Seedlings
4th Grade Math Curriculum Map
Page 17 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
3 4.N.14, 4.N.15,
4.A.4, 4.A.5.
• Identifying and extending patterns • Representing patterns using words, data tables,
graphs, and symbols • Using patterns to make predictions and solve
problems • Connect geometric and number patterns • Investigating and using square roots
Unit 15 Using Patterns Lesson 3: Planet Gzorp • (None)
3 4.N.14, 4.N.15,
4.A.4, 4.A.5.
• Identifying and extending patterns • Representing patterns and functions using
words, symbols, and data tables • Expressing mathematical relationships using
variables
Unit 15 Using Patterns Lesson 4: Function Machines
• Function machine
• Input • Output
3
4.N.14, 4.N.15, 4.A.4, 4.A.5, 4.G.7, 4.M.4,
4.M.5.
• Identifying and using variables • Measuring mass • Collecting, organizing, graphing and analyzing
data • Making and interpreting point graphs • Connecting mathematics and science to real-
world events: measuring mass • Telling the story of a graph • Using patterns to make predictions
Unit 15 Using Patterns Lesson 5: Taste of TIMS
• Gram • Mass • Massing
3 4.N.14, 4.N.15,
4.A.4, 4.A.5.
• Identifying and extending patterns • Making and interpreting point graphs • Representing patterns in data tables, graphs,
and words • Identifying and describing situations with varying
rates of change
Unit 15 Using Patterns Lesson 6: Patterns and Problems • (None)
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
3 4.N.14, 4.N.15, 4.M.6, 4.M.7.
• Understanding the concept of volume • Using appropriate units for measuring volume • Measuring volume by displacement • Practicing the multiplication facts
Unit 8 Measuring Up: An Assessment Unit Lesson 1: Volume
• Cubic centimeter (cc)
• Cubic foot • Cubic units • Graduated
cylinder • Liters (l) • Meniscus • Millimeters
(ml) • Volume • Volume by
displacement
3 4.N.14, 4.N.15, 4.M.6, 4.M.7.
• Reporting a volume measurement using a number and a unit
• Measuring volume by displacement • Estimating volume • Using the order of operations
Unit 8 Measuring Up: An Assessment Unit Lesson 2: Fill it First
• (None)
3
4.N.14, 4.N.15, 4.G.3, 4.A.1, 4.M.6, 4.M.7, 4.S.5, 4.S.6.
• Measuring volume by displacement • Collecting, organizing, graphing and analyzing
data • Making and interpreting point graphs • Drawing and interpreting best-fit lines • Using patterns in tables and graphs to make
predictions about data • Communicating the solution to a problem • Connecting mathematics and science:
measuring volume • Using numerical variables
Unit 8 Measuring Up: An Assessment Unit Lesson 3: Volume vs. Number
• (None)
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
3 4.N.14, 4.N.15 • Reviewing skills and concepts Unit 8 Measuring Up: An Assessment Unit Lesson 4: Review Problems
• (None)
3 4.N.14, 4.N.15, 4.N.5.
• Solving open-response problems • Communicating problem solving strategies • Collecting and using data to solve problems • Using the Student Rubrics: Knowing, Solving,
and Telling to self-assess problem solving skills
Unit 8 Measuring Up: An Assessment Unit Optional Lesson 5: Hour Walk
• (None)
3 4.N.14, 4.N.15, • Assessing concept and skills developed in units 1-8
Unit 8 Measuring Up: An Assessment Unit Lesson 6: Midyear Test
• (None)
3 4.N.14, 4.N.15, 4.N.17, 4.A.1.
• Assessing the multiplication facts • Self-assessing the division facts for the 5s and
10s • Writing the four related number sentences in a
fact family • Using known multiplication facts to learn related
division facts
Unit 8 Measuring Up: An Assessment Unit Lesson 8: Facts I Know: Multiplication and Division Facts
• Divisor • Quotient
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4 4.N.14, 4.N.15, 4.G.2, 4.G.6,
4.G.7.
• Identifying lines, line segments, rays, and points • Identifying parallel and perpendicular lines • Describing two-dimensional shapes using their
properties
Unit 9 Shapes and Solids Lesson 1: Lines
• Equilateral triangle
• Intersect line • Line
segment • Parallel • Parallel lines • Parallelogra
m • Perpendicul
ar • Point • Quadrilateral • Ray
4 4.N.14, 4.N.15, 4.G.7, 4.G.8.
• Naming angles • Identifying acute, obtuse, and right angles • Measuring angles with a protractor
Unit 9 Shapes and Solids Lesson 2: What’s your Angle
• Acute angle • Degrees • Endpoint • Obtuse
angle • Point • Polygon • Protractor • Quadrilateral • Ray • Right angle • Vertex
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4 4.N.14, 4.N.15, 4.G.1, 4.G.7,
4.G.8.
• Identifying turn (rotational symmetry • Identifying line (reflective) symmetry
Unit 9 Shapes and Solids Lesson 3: Symmetry
• Angle of turning
• Center of turning
• Hexagon • Line of
symmetry • Line
(reflective) symmetry
• Rhombus trapezoid triangle
• Turn (rotational) symmetry
• Type of turn symmetry
4 4.N.14, 4.N.15, 4.G.4, 4.G.5, 4.M.1, 4.M.2.
• Finding the volume of a prism • Measuring area in square centimeters • Measuring length (height) in centimeters
Unit 9 Shapes and Solids Lesson 6: Finding the Volume of a prism
• (None)
4 4.N.14, 4.N.15 • Supplementary lessons from Everyday Math on Building prisms (Templates)
•
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4.N.14, 4.N.15, 4.N.5, 4.N.10.
• Measuring lengths in metric units (m, dm, cm, and mm)
• Representing decimals using base-ten pieces and number lines (meter sticks)
• Reading and writing decimals to the hundredths • Understanding place value for decimals • Choosing the most appropriate unit of measure
to solve
Unit 10: Using Decimals Lesson 1: m, dm, cm, mm
• Centimeter • Decimal • Decimeter • Hundredth • Meter • Millimeter • Nearest
tenth
4 4.N.14, 4.N.15, 4.N.10, 4.N.24,
4.N.25.
• Translating between different representations of decimals (concrete, pictorial, verbal, and symbolic)
• Representing decimals using base-ten pieces and number charts
• Using fractions and decimals to represent the same quantity
• Reading and writing decimals to the tenths
Unit 10: Using Decimals Lesson 2: Tenths
• Common fraction
• Decimal fraction
• Denominator • Numerator
4 4.N.14, 4.N.15, 4.N.10, 4.N.11, 4.N.12, 4.N.24.
• Translating between different representations of decimals (concrete, pictorial, verbal, and symbolic)
• Representing decimals using base-ten pieces and number charts
• Using fractions and decimals to represent the same quantity
• Reading and writing decimals to the hundredths’ place
Unit 10: Using Decimals Lesson 3: Hundredths
• Denominator • Numerator • Hundredth
4th Grade Math Curriculum Map
Page 23 of 25 Rondout Valley Central School District Last updated June, 2005
Qtr. NYS
Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4 4.N.14, 4.N.15, 4.N.5, 4.N.10,
4.S.4.
• Identifying fixed variables in an experiment • Measuring the length to the nearest hundredth
of a meter • Collecting, organizing, graphing, and analyzing
data • Using patterns in graphs to make predictions • Compare and ordering decimals
Unit 10: Using Decimals Lesson 4: Downhill Racer
• Extrapolate • Fixed
variable • Interpolate • Manipulated
variable • Responding
variable • Variables
4 4.N.14, 4.N.15,
4.N.7, 4.N.8, 4.N.9, 4.N.13.
• Representing fractions using paper folding and symbols
• Defining numerator and denominator • Identifying fractional parts of a whole • Comparing fractions using manipulatives
Unit 12 Exploring Fractions Lesson 1: Fraction Strips
• Denominator • Equivalent
fraction • Fraction • Numerator
4 4.N.14, 4.N.15,
4.N.7, 4.N.8, 4.N.9, 4.N.23.
• Adding and subtracting fractions with like denominators
Unit 12 Exploring Fractions Lesson 2: Adding and Subtracting with Fraction Strips
• (None)
4 4.N.14, 4.N.15,
4.A.2, 4.A.3, 4.N.7, 4.N.8,
4.N.9.
• Comparing fractions using manipulatives Unit 12 Exploring Fractions Lesson 3: Comparing Fractions • Benchmark
4 4.N.14, 4.N.15,
4.A.2, 4.N.7, 4.N.8, 4.N.9.
• Finding equivalent fractions Unit 12 Exploring Fractions Lesson 5: Equivalent Fractions
• Equivalent fractions
4th Grade Math Curriculum Map
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4
4.N.14, 4.N.15, 4.N.7, 4.N.8, 4.N.9, 4.N.10,
4.N.22, 4.N.23, 4.N.24.
• Representing fractions using pattern blocks • Finding a fraction for a given quantity when a
unit whole is given • Identifying the unit whole when a fraction is
given • Connecting mathematics to real-life situations
Unit 12 Exploring Fractions Lesson 6: Pattern Block Fractions
• Hexagon • Rhombus • Trapezoid
4 4.N.14, 4.N.15,
4.N.7, 4.N.8, 4.N.9, 4.N.23
• Solving multi step word problems • Comparing and ordering fractions • Adding fractions using manipulatives
Unit 12 Exploring Fractions Lesson 7: Solving problems with Pattern Blocks
• (None)
4 4.N.14, 4.N.15,
4.A.2, 4.N.7, 4.N.8, 4.N.9,
4.N.13, 4.N.23
• Representing fractions using pattern blocks and diagrams
• Working cooperatively to solve problems • Solving open-response problems and
communicating problem-solving strategies • Writing number sentences using fractions
Unit 12 Exploring Fractions Lesson 8 Fraction Puzzles • (none)
4 4.N.14, 4.N.15, 4.N.8
• Reviewing concepts and skills from previous units
• Choosing appropriate methods and tools to solve problems
• Choosing whether to find an estimate of an exact answer
Unit 16 Assessing our Learning Optional Lesson 2: problems and Practice
• (None)
4th Grade Math Curriculum Map
Page 25 of 25 Rondout Valley Central School District Last updated June, 2005
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Performance Indicators
Content / Skills / Strategies Activities Vocabulary Assessments
4 4.N.14, 4.N.15,
4.A.5, 4.G.4, 4.M.2, 4.M.3,
4.N.24.
• Measuring length in inches • Finding the area of a rectangle • Creating, organizing, graphing, and analyzing
data • Making and interpreting point graphs • Identifying and using variables • Using patterns in tables and graphs to make
predictions • Communicating solution strategies verbally and
in writing
Unit 16 Assessing our Learning Optional Lesson 3: Area vs. Length
• Area • Length • Variable • Width
4 4.N.14, 4.N.15, 4.A.4, 4.A.5.
• Identifying patterns • Extending number patterns • Connecting geometric patterns and number
patterns • Using patterns to make predictions and solve
problems • Solving open-response problems and
communicating problem solving strategies
Unit 16 Assessing our Learning Optional Lesson 4 The Many Eyed Dragonfly
• (None)
4 4.N.14, 4.N.15 • Assessing skills and concepts learned this year Unit 16 Assessing our Learning Optional Lesson 5: End of Year Test • (None)
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