4 th 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
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4th Grade Math Curriculum Map
Page 1 of 25 Rondout Valley Central School District Last updated June, 2005
• 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
• 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
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• 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
• 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
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• 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
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• 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
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• 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
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• 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
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• 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
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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