Math Standard 3 Grade 6

New York State Learning Standards

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Problem Solving
Reasoning and Proof
Communication
Connections
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Number Sense and Operations
Number Sense and Operations
Algebra
Geometry
Measurement
Statistics and Probability

MST Standard Three: Mathematics: Grade 6 Students will: · understand the concepts of and become proficient with the skills of mathematics; · communicate and reason mathematically; · become problem solvers by using appropriate tools and strategies; through the integrated study of number sense and operations, algebra, geometry, measurement, and statistics and probability.
*Problem Solving* Students will build new mathematical knowledge through problem solving.

	6.PS.1	Know the difference between relevant and irrelevant information when solving problems
	6.PS.2	Understand that some ways of representing a problem are more efficient than others
	6.PS.3	Interpret information correctly, identify the problem, and generate possible strategies and solutions
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*Problem Solving* Students will solve problems that arise in mathematics and in other contexts.

	6.PS.4	Act out or model with manipulatives activities involving mathematical content from literature
	6.PS.5	Formulate problems and solutions from everyday situations	Paper Pool Game Explore More Tables Look for Patterns
	6.PS.6	Translate from a picture/diagram to a numeric expression
	6.PS.7	Represent problem situations verbally, numerically, algebraically, and/or graphically	The "Mangoes Problem"
	6.PS.8	Select an appropriate representation of a problem	The "Mangoes Problem"
	6.PS.9	Understand the basic language of logic in mathematical situations (and, or, and not)
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*Problem Solving* Students will apply and adapt a variety of appropriate strategies to solve problems.

	6.PS.10	Work in collaboration with others to solve problems
	6.PS.11	Translate from a picture/diagram to a number or symbolic expression
	6.PS.12	Use trial and error and the process of elimination to solve problems
	6.PS.13	Model problems with pictures/diagrams or physical objects
	6.PS.14	Analyze problems by observing patterns	Counting Embedded Figures Desert Graphics
	6.PS.15	Make organized lists or charts to solve numerical problems	Bouncing Tennis Balls
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*Problem Solving* Students will monitor and reflect on the process of mathematical problem solving.

	6.PS.16	Discuss with peers to understand a problem situation
	6.PS.17	Determine what information is needed to solve problem
	6.PS.18	Determine the efficiency of different representations of a problem
	6.PS.19	Differentiate between valid and invalid approaches
	6.PS.20	Understand valid counterexamples
	6.PS.21	Explain the methods and reasoning behind the problem solving strategies used
	6.PS.22	Discuss whether a solution is reasonable in the context of the original problem
	6.PS.23	Verify results of a problem
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*Reasoning and Proof* Students will recognize reasoning and proof as fundamental aspects of mathematics.

	6.RP.1	Recognize that mathematical ideas can be supported using a variety of strategies
	6.RP.2	Understand that mathematical statements can be supported, using models, facts, and relationships to explain their thinking
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*Reasoning and Proof* Students will make and investigate mathematical conjectures.

	6.RP.3	Investigate conjectures, using arguments and appropriate mathematical terms	Five's a Crowd: A Game of Population Density
	6.RP.4	Make and evaluate conjectures, using a variety of strategies	Five's a Crowd: A Game of Population Density
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*Reasoning and Proof* Students will develop and evaluate mathematical arguments and proofs.

	6.RP.5	Justify general claims or conjectures, using manipulatives, models, expressions, and mathematical relationships
	6.RP.6	Develop and explain an argument verbally, numerically, algebraically, and/or graphically
	6.RP.7	Verify claims other students make, using examples and counterexamples when appropriate
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*Reasoning and Proof* Students will select and use various types of reasoning and methods of proof.

	6.RP.8	Support an argument through examples/counterexamples and special cases
	6.RP.9	Devise ways to verify results
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*Communication* Students will organize and consolidate their mathematical thinking through communication.

	6.CM.1	Provide an organized thought process that is correct, complete, coherent, and clear	Birthdays and the Binary System: A Magical Mixture The "Mangoes Problem"
	6.CM.2	Explain a rationale for strategy selection	The "Mangoes Problem"
	6.CM.3	Organize and accurately label work
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*Communication* Students will communicate their mathematical thinking coherently and clearly to peers, teachers, and others.

	6.CM.4	Share organized mathematical ideas through the manipulation of objects, numerical tables, drawings, pictures, charts, graphs, tables, diagrams, models, and symbols in written and verbal form	Birthdays and the Binary System: A Magical Mixture
	6.CM.5	Answer clarifying questions from others
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*Communication* Students will analyze and evaluate the mathematical thinking and strategies of others.

	6.CM.6	Understand mathematical solutions shared by other students
	6.CM.7	Raise questions that elicit, extend, or challenge others' thinking
	6.CM.8	Consider strategies used and solutions found by others in relation to their own work
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*Communication* Students will use the language of mathematics to express mathematical ideas precisely.

	6.CM.9	Increase their use of mathematical vocabulary and language when communicating with others
	6.CM.10	Use appropriate vocabulary when describing objects, relationships, mathematical solutions, and rationale	The "Mangoes Problem"
	6.CM.11	Decode and comprehend mathematical visuals and symbols to construct meaning
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*Connections* Students will recognize and use connections among mathematical ideas.

	6.CN.1	Understand and make connections and conjectures in their everyday experiences to mathematical ideas
	6.CN.2	Explore and explain the relationship between mathematical ideas
	6.CN.3	Connect and apply mathematical information to solve problems
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*Connections* Students will understand how mathematical ideas interconnect and build on one another to produce a coherent whole.

	6.CN.4	Understand multiple representations and how they are related
	6.CN.5	Model situations with objects and representations and be able to draw conclusions
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*Connections* Students will recognize and apply mathematics in contexts outside of mathematics.

	6.CN.6	Recognize and provide examples of the presence of mathematics in their daily lives
	6.CN.7	Apply mathematics to problem situations that develop outside of mathematics	An Introduction to Remote Sensing
	6.CN.8	Investigate the presence of mathematics in careers and areas of interest
	6.CN.9	Recognize and apply mathematics to other disciplines and areas of interest	An Introduction to Remote Sensing
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*Representation* Students will create and use representations to organize, record, and communicate mathematical ideas.

	6.R.1	Use physical objects, drawings, charts, tables, graphs, symbols, equations, or objects created using technology as representations	Printing Books Algebraic Transformations: The Rectangle Algebraic Transformations: The Plus Sign and Triangle Constant Dimensions: Using Measurement and Algebra to Investigate the Relationship of the Length and Width of a Rectangle
	6.R.2	Explain, describe, and defend mathematical ideas using representations
	6.R.3	Read, interpret, and extend external models
	6.R.4	Use standard and nonstandard representations with accuracy and detail
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*Representation* Students will select, apply, and translate among mathematical representations to solve problems.

	6.R.5	Use representations to explore problem situations	Printing Books
	6.R.6	Investigate relationships between different representations and their impact on a given problem	The Next Billion Printing Books
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*Representation* Students will use representations to model and interpret physical, social, and mathematical phenomena.

	6.R.7	Use mathematics to show and understand physical phenomena (e.g., determine the perimeter of a bulletin board)	An Introduction to Remote Sensing
	6.R.8	Use mathematics to show and understand social phenomena (e.g., construct tables to organize data showing book sales)
	6.R.9	Use mathematics to show and understand mathematical phenomena (e.g., Find the missing value: (3 + 4) + 5 = 3 + (4 + ___ )
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*Number Sense and Operations* Students will understand numbers, multiple ways of representing numbers, relationships among numbers, and number systems.
*Number Systems*
	6.N.1	Read and write whole numbers to trillions	A Conceptual Model for Solving Percent Problems Birthdays and the Binary System: A Magical Mixture Travel in the Solar System
	6.N.2	Define and identify the commutative and associative properties of addition and multiplication	Understanding Rational Numbers and Proportions Patterns and Function Create an Address Number Grades: 7-8 Algebraic Transformations: The Rectangle Algebraic Transformations: The Plus Sign and Triangle
	6.N.3	Define and identify the distributive property of multiplication over addition	Understanding Rational Numbers and Proportions Patterns and Function Create an Address Number Grades: 7-8
	6.N.4	Define and identify the identity and inverse properties of addition and multiplication	Five's a Crowd: A Game of Population Density Understanding Rational Numbers and Proportions Algebraic Transformations: The Rectangle Algebraic Transformations: The Plus Sign and Triangle
	6.N.5	Define and identify the zero property of multiplication
	6.N.6	Understand the concept of rate	Time Value of Money What's Your Rate?
	6.N.7	Express equivalent ratios as a proportion	Paper Pool Game Explore More Tables Look for Patterns The Golden Ratio What's Your Rate? Foreign Currency Off the Scale Measuring Up: Looking Back and Moving Forward Playing the Product Game Classifying Numbers The Product Game: Connections and Extensions Scaling Away: Investigating the Effects of Scale Factor
	6.N.8	Distinguish the difference between rate and ratio	The Golden Ratio What's Your Rate? Off the Scale Measuring Up: Looking Back and Moving Forward
	6.N.9	Solve proportions using equivalent fractions	What's Your Rate?
	6.N.10	Verify the proportionality using the product of the means equals the product of the extremes	About Our Class What's Your Rate? Playing the Product Game Classifying Numbers The Product Game: Connections and Extensions
	6.N.11	Read, write, and identify percents of a whole (0% to 100%)	Time Value of Money Where Does the Money Come From? A Conceptual Model for Solving Percent Problems Having Fun with Baseball Statistics About Our Class Parking at the Mall Shops at the Mall What's in a Graph? What's Happening in Darfur?
	6.N.12	Solve percent problems involving percent, rate, and base	A Penny Saved Is a Penny at 4.7% Earned Time Value of Money Where Does the Money Come From? A Conceptual Model for Solving Percent Problems Having Fun with Baseball Statistics Parking at the Mall Shops at the Mall Baseball Stats What's Happening in Darfur?
	6.N.13	Define absolute value and determine the absolute value of rational numbers (including positive and negative)
	6.N.14	Locate rational numbers on a number line (including positive and negative)	A Videotaping Project to Explore the Multiplication of Integers Birthdays and the Binary System: A Magical Mixture
	6.N.15	Order rational numbers (including positive and negative)	A Videotaping Project to Explore the Multiplication of Integers Birthdays and the Binary System: A Magical Mixture
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*Number Sense and Operations* Students will understand meanings of operations and procedures, and how they relate to one another.
*Operations*
	6.N.16	Add and subtract fractions with unlike denominators	A Videotaping Project to Explore the Multiplication of Integers Developing Number Sense Having Fun with Baseball Statistics Travel in the Solar System Understanding Rational Numbers and Proportions Football Finances Playing the Product Game Making Your Own Product Game Classifying Numbers The Product Game: Connections and Extensions
	6.N.17	Multiply and divide fractions with unlike denominators	A Videotaping Project to Explore the Multiplication of Integers Developing Number Sense Having Fun with Baseball Statistics Travel in the Solar System Understanding Rational Numbers and Proportions Football Finances Playing the Product Game Making Your Own Product Game Classifying Numbers The Product Game: Connections and Extensions
	6.N.18	Add, subtract, multiply, and divide mixed numbers with unlike denominators	Developing Number Sense Having Fun with Baseball Statistics
	6.N.19	Identify the multiplicative inverse (reciprocal) of a number
	6.N.20	Represent fractions as terminating or repeating decimals	The Factor Game: Playing The Factor Game The Factor Game: Playing to Win The Factor Game: Making Connections
	6.N.21	Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)	Where Does the Money Come From?
	6.N.22	Evaluate numerical expressions using order of operations (may include exponents of two and three)	Developing Number Sense Patterns and Function Create an Address Number Grades: 7-8
	6.N.23	Represent repeated multiplication in exponential form
	6.N.24	Represent exponential form as repeated multiplication
	6.N.25	Evaluate expressions having exponents where the power is an exponent of one, two, or three	How Many Triangles Can You Construct?
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*Number Sense and Operations* Students will compute accurately and make reasonable estimates.
*Estimation*
	6.N.26	Estimate a percent of quantity (0% to 100%)	Time Value of Money Where Does the Money Come From? Parking at the Mall Shops at the Mall What's in a Graph? What's Happening in Darfur?
	6.N.27	Justify the reasonableness of answers using estimation (including rounding)	Developing Number Sense Orbiting Satellites Magic Squares: Discovering Their History and Their Magic Football Finances Parking at the Mall Playing the Product Game Classifying Numbers The Product Game: Connections and Extensions
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*Algebra* Students will represent and analyze algebraically a wide variety of problem solving situations.
*Variables and Expressions*
	6.A.1	Translate two-step verbal expressions into algebraic expressions	Revisiting a Difference of Squares Building Bridges to Algebraic Thinking
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*Algebra* Students will perform algebraic procedures accurately.
*Variables and Expressions*
	6.A.2	Use substitution to evaluate algebraic expressions (may include exponents of one, two and three)	Revisiting a Difference of Squares
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*Algebra* Students will perform algebraic procedures accurately.
*Equations and Inequalities*
	6.A.3	Translate two-step verbal sentences into algebraic equations	Revisiting a Difference of Squares Building Bridges to Algebraic Thinking
	6.A.4	Solve and explain two-step equations involving whole numbers using inverse operations	Revisiting a Difference of Squares Orbiting Satellites Building Bridges to Algebraic Thinking
	6.A.5	Solve simple proportions within context
	6.A.6	Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.)	Revisiting a Difference of Squares
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*Geometry* Students will use visualization and spatial reasoning to analyze characteristics and properties of geometric shapes.
*Shapes*
	6.G.1	Calculate the length of corresponding sides of similar triangles, using proportional reasoning	Another View Blue Squares and Beyond Go With Green Rectangles Fill'r Up Purple Prisms Covering the Plane With Rep-Tiles Polygon Capture: A Geometry Game
	6.G.2	Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas	Finding Our Top Speed Another View Blue Squares and Beyond Go With Green Rectangles Fill'r Up Purple Prisms Patterns and Function Covering the Plane With Rep-Tiles Polygon Capture: A Geometry Game Discovering the Area Formula for Triangles: Lesson 1 of 4 Finding the Area of Irregular Figures
	6.G.3	Use a variety of strategies to find the area of regular and irregular polygons	Finding Our Top Speed Patterns and Function Covering the Plane With Rep-Tiles Polygon Capture: A Geometry Game Discovering the Area Formula for Triangles: Lesson 1 of 4 Finding the Area of Irregular Figures
	6.G.4	Determine the volume of rectangular prisms by counting cubes and develop the formula	Finding Our Top Speed Exploring Front-Right-Top Views Building from the Front-Right-Top Views Mat Plans Another View Do They Match? Blue Squares and Beyond Go With Green Rectangles Fill'r Up Purple Prisms Patterns and Function Polygon Capture: A Geometry Game Discovering the Area Formula for Triangles: Lesson 1 of 4 Finding the Area of Irregular Figures
	6.G.5	Identify radius, diameter, chords and central angles of a circle
	6.G.6	Understand the relationship between the diameter and radius of a circle
	6.G.7	Determine the area and circumference of a circle, using the appropriate formula	Discovering the Area Formula for Triangles: Lesson 1 of 4 Finding the Area of Irregular Figures
	6.G.8	Calculate the area of a sector of a circle, given the measure of a central angle and the radius of the circle
	6.G.9	Understand the relationship between the circumference and the diameter of a circle
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*Geometry* Students will apply coordinate geometry to analyze problem solving situations.
*Coordinate Geometry*
	6.G.10	Identify and plot points in all four quadrants	Tips for Teaching Cartesian Graphing: Linking Concepts and Procedures
	6.G.11	Calculate the area of basic polygons drawn on a coordinate plane (rectangles and shapes composed of rectangles having sides with integer lengths)	Another View Building A Box: Using Nets and Three-Dimensional Visualization
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*Measurement* Students will determine what can be measured and how, using appropriate methods and formulas.
*Units of Measurement*
	6.M.1	Measure capacity and calculate volume of a rectangular prism	Finding Our Top Speed Water, Water Fill'r Up Purple Prisms Off the Scale Measuring Up: Looking Back and Moving Forward Building A Box: Using Nets and Three-Dimensional Visualization Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
	6.M.2	Identify customary units of capacity (cups, pints, quarts, and gallons)	Finding Our Top Speed Water, Water What Is Ratio? Do You Measure Up? Discovering Gallon Man Off the Scale Measuring Up: Looking Back and Moving Forward Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
	6.M.3	Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons)	Finding Our Top Speed Water, Water What Is Ratio? Do You Measure Up? Discovering Gallon Man Off the Scale Measuring Up: Looking Back and Moving Forward Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
	6.M.4	Identify metric units of capacity (liter and milliliter)	Finding Our Top Speed What Is Ratio? Do You Measure Up? Discovering Gallon Man Off the Scale Measuring Up: Looking Back and Moving Forward Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
	6.M.5	Identify equivalent metric units of capacity (milliliter to liter and liter to milliliter)	Finding Our Top Speed What Is Ratio? Off the Scale Measuring Up: Looking Back and Moving Forward Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
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*Measurement* Students will determine what can be measured and how, using appropriate methods and formulas.
*Tools and Methods*
	6.M.6	Determine the tool and technique to measure with an appropriate level of precision: capacity	Finding Our Top Speed Water, Water Off the Scale Measuring Up: Looking Back and Moving Forward Constant Dimensions: Using Measurement and Algebra to Investigate the Relationship of the Length and Width of a Rectangle Scaling Away: Investigating the Effects of Scale Factor Cylinders and Scale
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*Measurement* Students will develop strategies for estimating measurements.
*Estimation*
	6.M.7	Estimate volume, area, and circumference (see figures identified in geometry strand)	Finding Our Top Speed Building A Box: Using Nets and Three-Dimensional Visualization Constant Dimensions: Using Measurement and Algebra to Investigate the Relationship of the Length and Width of a Rectangle Discovering the Area Formula for Triangles: Lesson 1 of 4 Finding the Area of Irregular Figures Cylinders and Scale
	6.M.8	Justify the reasonableness of estimates	Finding Our Top Speed Playing the Product Game Classifying Numbers The Product Game: Connections and Extensions
	6.M.9	Determine personal references for capacity
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*Statistics and Probability* Students will collect, organize, display, and analyze data.
*Collection of Data*
	6.S.1	Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question	Who Knows What Inefficiencies Lurk in the Hearts of Rent Controlled Housing Markets? The Shadow Market Knows! Who Is Working? Where's the Beef? State Population Projections Paper Pool Game Explore More Tables Look for Patterns Skin Weight Bouncing Tennis Balls Let's Compare Five's a Crowd: A Game of Population Density The Bread Basket Food Court: Looking Back and Moving Forward Pitching Cards Spinning Tops Parents How Do You Organize the Counties in Your State?: Looking Back and Moving Forward Name Your Tune History of Populations About Our Class Weather Watchers Problem Solving: Dealing With Data In the Elementary School Simulating Probability Situations Using Box Models Long Distance Airplanes Aluminum Cans How to Bag it? First Names First Last Names Next What's in a Name: Looking Back and Moving Forward What's in a Graph? Measuring Shadows Marble Mania Interpreting Population Statistics
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*Statistics and Probability* Students will collect, organize, display, and analyze data.
*Organization and Display of Data*
	6.S.2	Record data in a frequency table	Who Knows What Inefficiencies Lurk in the Hearts of Rent Controlled Housing Markets? The Shadow Market Knows! Where's the Beef? Planning a Class Trip to a Local Attraction Planning a Trip to the State Capitol Planning a Trip to Disneyland or Disney World Planning a Trip to Disneyland or Disney World, Part Two Choosing the Best Option State Population Projections Paper Pool Game Explore More Tables Look for Patterns Skin Weight Whale Weight Bouncing Tennis Balls Let's Compare The Bread Basket Food Court: Looking Back and Moving Forward Pitching Cards Spinning Tops How Do You Organize the Counties in Your State?: Looking Back and Moving Forward Weather Watchers Every Breath You Take Problem Solving: Dealing With Data In the Elementary School Long Distance Airplanes Aluminum Cans Monty's Dilemma: Should You Stick or Switch? First Names First Last Names Next What's in a Name: Looking Back and Moving Forward State Names: Investigating Real-World Data What's in a Graph? Measuring Shadows Marble Mania Interpreting Population Statistics
	6.S.3	Construct Venn diagrams to sort data	Where's the Beef? Planning a Class Trip to a Local Attraction Planning a Trip to the State Capitol Planning a Trip to Disneyland or Disney World Planning a Trip to Disneyland or Disney World, Part Two Choosing the Best Option Skin Weight Bouncing Tennis Balls Spinning Tops Sorting Activities for Polygons Aluminum Cans Monty's Dilemma: Should You Stick or Switch? Playing the Product Game Classifying Numbers The Product Game: Connections and Extensions State Names: Investigating Real-World Data What's in a Graph?
	6.S.4	Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)	Who Knows What Inefficiencies Lurk in the Hearts of Rent Controlled Housing Markets? The Shadow Market Knows! Who Is Working? Where's the Beef? Planning a Class Trip to a Local Attraction Planning a Trip to the State Capitol Planning a Trip to Disneyland or Disney World Planning a Trip to Disneyland or Disney World, Part Two Choosing the Best Option National Population Projections Skin Weight Whale Weight Bouncing Tennis Balls Alphabet Soup Exploring Histograms Five's a Crowd: A Game of Population Density The Clucking Chicken The Pizza Palace Food Court: Looking Back and Moving Forward Spinning Tops Sorting Activities for Polygons Students as Researchers: An Inclined Plane Activity How Do You Organize the Counties in Your State?: Looking Back and Moving Forward What's the Beat? Name Your Tune The Next Billion Water, Water Weather Watchers Every Breath You Take Simulating Probability Situations Using Box Models Long Distance Airplanes In Your Shadow Home Is Where the Heart Is Aluminum Cans How to Bag it? Shops at the Mall Monty's Dilemma: Should You Stick or Switch? Heartifacts State Names: Investigating Real-World Data What's in a Graph? Measuring Shadows Interpreting Population Statistics Desert Graphics What's Happening in Darfur?
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*Statistics and Probability* Students will collect, organize, display, and analyze data.
*Analysis of Data*
	6.S.5	Determine the mean, mode and median for a given set of data	Where's the Beef? National Population Projections State Population Projections Bouncing Tennis Balls Let's Compare Alphabet Soup Exploring Histograms Five's a Crowd: A Game of Population Density The Bread Basket The Clucking Chicken The Pizza Palace Food Court: Looking Back and Moving Forward Comparing Categorical and Numerical Data Pitching Cards Spinning Tops Students as Researchers: An Inclined Plane Activity Comparing Counties How Do You Organize the Counties in Your State?: Looking Back and Moving Forward History of Populations Survey of Hair and Eye Colors About Our Class Problem Solving: Dealing With Data In the Elementary School Long Distance Airplanes In Your Shadow Aluminum Cans How to Bag it? Shops at the Mall First Names First Last Names Next What's in a Name: Looking Back and Moving Forward State Names: Investigating Real-World Data Baseball Stats The One in the Middle
	6.S.6	Determine the range for a given set of data	Where's the Beef? National Population Projections Paper Pool Game Explore More Tables Look for Patterns Bouncing Tennis Balls Let's Compare Alphabet Soup Exploring Histograms The Bread Basket The Clucking Chicken The Pizza Palace Food Court: Looking Back and Moving Forward Pitching Cards Spinning Tops Students as Researchers: An Inclined Plane Activity Survey of Hair and Eye Colors Every Breath You Take In Your Shadow Aluminum Cans How to Bag it? Shops at the Mall First Names First Last Names Next What's in a Name: Looking Back and Moving Forward State Names: Investigating Real-World Data Baseball Stats
	6.S.7	Read and interpret graphs	Who Knows What Inefficiencies Lurk in the Hearts of Rent Controlled Housing Markets? The Shadow Market Knows! Where's the Beef? Looking Back and Moving Forward National Population Projections State Population Projections Paper Pool Game Explore More Tables Look for Patterns Skin Weight Whale Weight Bouncing Tennis Balls Let's Compare The Bread Basket Food Court: Looking Back and Moving Forward Spinning Tops Students as Researchers: An Inclined Plane Activity What's the Beat? Name Your Tune The Next Billion Survey of Hair and Eye Colors Water, Water Weather Watchers Every Breath You Take In Your Shadow Home Is Where the Heart Is Aluminum Cans How to Bag it? Mathematics as Communication: Graphing Information Collected Over Time Shops at the Mall Heartifacts First Names First Last Names Next What's in a Name: Looking Back and Moving Forward State Names: Investigating Real-World Data What's in a Graph? Desert Graphics
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*Statistics and Probability* Students will make predictions that are based upon data analysis.
*Predictions from Data*
	6.S.8	Justify predictions made from data	Who Knows What Inefficiencies Lurk in the Hearts of Rent Controlled Housing Markets? The Shadow Market Knows! Choice and Chance in Life: The Game of "Skunk" What's the Beat? Survey of Hair and Eye Colors Weather Watchers Problem Solving: Dealing With Data In the Elementary School Home Is Where the Heart Is Monty's Dilemma: Should You Stick or Switch? Heartifacts What's in a Graph? Baseball Stats
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*Statistics and Probability* Students will understand and apply concepts of probability.
*Probability*
	6.S.9	List possible outcomes for compound events	The Creamery Shorts and Shirts Ice Cream Cones Monty's Dilemma: Should You Stick or Switch?
	6.S.10	Determine the probability of dependent events	The Creamery Shorts and Shirts Ice Cream Cones Simulating Probability Situations Using Box Models Monty's Dilemma: Should You Stick or Switch?
	6.S.11	Determine the number of possible outcomes for a compound event by using the fundamental counting principle and use this to determine the probabilities of events when the outcomes have equal probability	The Creamery Shorts and Shirts Ice Cream Cones Monty's Dilemma: Should You Stick or Switch?
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