New Standard 4th grade Math Curriculum Map - …rondout.sharpschool.com/.../File/Administration/MST/Grade4curr.pdf4th Grade Math Curriculum Map Page 1 of 25 Rondout Valley Central

4th Grade Math Curriculum Map

Page 1 of 25 Rondout Valley Central School District Last updated June, 2005

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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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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



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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



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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



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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



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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



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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



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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 •



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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%



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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



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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



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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



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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



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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



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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)



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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



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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)



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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)



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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



Qtr. NYS



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



Qtr. NYS



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)

•



Qtr. NYS



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



Qtr. NYS



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



Qtr. NYS



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)



Qtr. NYS



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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