MA.6.NPO: Number Properties and Operations

MA.6.NPO.U: Enduring Knowledge ? Understandings

MA.6.NPO.U.4: proportional reasoning is a tool for modeling and solving problems encountered in everyday situations.

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Part-to-part and Part-to-whole Ratios

MA.6.NPO.S.NS1: continue to develop number sense using fractions, decimals and percents, including percents greater than 100% and improper fractions

 Comparing and Ordering Decimals
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Percent of Change
 Percents, Fractions, and Decimals
 Sums and Differences with Decimals
 Toy Factory (Set Models of Fractions)
 Treasure Hunter (Decimals on the Number Line)

MA.6.NPO.S.NS2: extend applications of operations (+, −, ×, ÷) to include fractions and decimals

 Adding Decimals (Base-10 Blocks)
 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fraction Artist 2 (Area Models of Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Modeling Fractions (Area Models)
 Multiplying Decimals (Area Model)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Square Roots
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

MA.6.NPO.S.NS3: develop place value of large and small numbers, including decimals

 Adding Decimals (Base-10 Blocks)
 Comparing and Ordering Decimals
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals
 Treasure Hunter (Decimals on the Number Line)

MA.6.NPO.S.NS4: explore positive integral exponents (e.g. squares, cubes)

 Square Roots

MA.6.NPO.S.NS5: compare, order and convert between whole numbers, fractions, decimals and percents using concrete materials, drawings or pictures and mathematical symbols (e.g., <, "less than or equal to", >, "greater than or equal to", =, "not equal to", order on a number line)

 Adding Decimals (Base-10 Blocks)
 Comparing and Ordering Decimals
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Modeling Decimals (Area and Grid Models)
 Modeling Decimals (Base-10 Blocks)
 Modeling Fractions (Area Models)
 Percents, Fractions, and Decimals
 Rational Numbers, Opposites, and Absolute Values
 Subtracting Decimals (Base-10 Blocks)
 Toy Factory (Set Models of Fractions)
 Treasure Hunter (Decimals on the Number Line)

MA.6.NPO.S.NO1: develop addition, subtraction, multiplication and division of common fractions and decimals with manipulatives and symbols (e.g., mental computation, paper and pencil, calculators)

 Adding Decimals (Base-10 Blocks)
 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Fraction Artist 2 (Area Models of Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Modeling Fractions (Area Models)
 Multiplying Decimals (Area Model)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Square Roots
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

MA.6.NPO.S.NO3: explain and/or demonstrate inversely-related operations (addition and subtraction; multiplication and division)

 Dividing Polynomials Using Synthetic Division
 Factor Trees (Factoring Numbers)
 Function Machines 3 (Functions and Problem Solving)
 Modeling One-Step Equations
 Simplifying Algebraic Expressions I
 Solving Two-Step Equations

MA.6.NPO.S.RP1: develop meaning of percent and how to determine a percentage

 Percent of Change
 Percents and Proportions

MA.6.NPO.S.RP3: define and apply ratios to solve real-world problems

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Proportions and Common Multipliers

MA.6.NPO.S.PNO1: determine prime numbers, composite numbers, prime factorization, factors, multiples, greatest common factor and least common multiple

 Chocomatic (Multiplication, Arrays, and Area)
 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models
 Operations with Radical Expressions

MA.6.NPO.S.PNO2: simplify fractions and determine equivalent fractions

 Adding Fractions (Fraction Tiles)
 Factor Trees (Factoring Numbers)
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Improper Fractions and Mixed Numbers
 Modeling Fractions (Area Models)
 Multiplying Fractions
 Toy Factory (Set Models of Fractions)

MA.6.NPO.S.PNO3: use prime numbers, composite numbers, factors, multiples and divisibility to solve problems

 Chocomatic (Multiplication, Arrays, and Area)
 Factor Trees (Factoring Numbers)
 Finding Factors with Area Models
 Operations with Radical Expressions

MA.6.NPO.S.PNO4: explore and/or demonstrate how applications of properties (e.g., commutative, associative, inverse and identity for addition and multiplication) show relationships among numbers and operations

 Chocomatic (Multiplication, Arrays, and Area)

MA.6.M: Measurement

MA.6.M.U: Enduring Knowledge ? Understandings

MA.6.M.U.3: measurements are determined by using appropriate techniques, tools, formulas and degree of accuracy needed for the situation.

 Area of Triangles

MA.6.M.S.MPA1: find perimeter of regular and irregular polygons in metric and U.S. customary units

 Fido's Flower Bed (Perimeter and Area)

MA.6.M.S.MPA2: read and use measurement tools (e.g., rulers, scales, protractors, angle rulers)

 Measuring Trees

MA.6.M.S.MPA3: find area of plane figures composed of triangles, squares and rectangles by subdividing and measuring; use square units appropriately

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)

MA.6.M.S.SM2: estimate, compare and convert (meaning to make ballpark comparisons/not memorize conversion factors between U.S. and metric) units of measurement for length, weight/mass and volume/capacity within the U.S. customary system and within the metric system:

MA.6.M.S.SM2.a: length (e.g., parts of an inch, inches, feet, yards, miles, millimeters, centimeters, meters, kilometers);

 Unit Conversions

MA.6.M.S.SM2.b: weight/mass (e.g., pounds, tons, grams, kilograms);

 Unit Conversions

MA.6.M.S.SM2.c: volume/capacity (e.g., cups, pints, quarts, gallons, milliliters, liters)

 Unit Conversions

MA.6.G: Geometry

MA.6.G.U: Enduring Knowledge ? Understandings

MA.6.G.U.2: representational systems, including coordinate geometry, are means for specifying locations and describing spatial relationships and are organizers for making sense of the world around them.

 Points in the Coordinate Plane

MA.6.G.U.3: transformations and symmetry are used to analyze real-world situations (e.g., art, nature, construction and scientific exploration).

 Circles
 Rotations, Reflections, and Translations

MA.6.G.U.4: shape and area are conserved during mathematical transformations (flips, slides and turns). Scale conserves shape, but changes size.

 Rock Art (Transformations)
 Rotations, Reflections, and Translations

MA.6.G.S.SR1: formulate and use the rules for the sum of angle measures in a triangle (180°) and in a quadrilateral (360°)

 Isosceles and Equilateral Triangles
 Polygon Angle Sum
 Triangle Angle Sum

MA.6.G.S.SR2: identify and use relationships among lines (e.g., parallel, perpendicular)

 Parallel, Intersecting, and Skew Lines

MA.6.G.S.SR3: identify, describe and provide examples of the basic geometric elements (points, rays, lines, segments, angles [acute, right, obtuse], planes, radius, diameter, circumference)

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Parallel, Intersecting, and Skew Lines
 Points in the Coordinate Plane

MA.6.G.S.TS2: transform (translate and reflect across a horizontal or vertical line) figures in the first quadrant of the coordinate plane and determine new coordinates of the shape after transformation

 Rock Art (Transformations)
 Rotations, Reflections, and Translations

MA.6.G.S.TS3: explore the rotation of a figure in a plane in the first quadrant, with and without manipulatives

 Rock Art (Transformations)
 Rotations, Reflections, and Translations

MA.6.G.S.CG1: identify and graph ordered pairs on a positive coordinate system, identifying the origin, axes and ordered pairs

 City Tour (Coordinates)
 Elevator Operator (Line Graphs)
 Points in the Coordinate Plane
 Points, Lines, and Equations

MA.6.G.S.CG2: apply graphing in the positive coordinate system to solve real-world and mathematical problems

 Elevator Operator (Line Graphs)
 Points in the Coordinate Plane

MA.6.DAP: Data Analysis and Probability

MA.6.DAP.U: Enduring Knowledge ? Understandings

MA.6.DAP.U.2: the collection, organization, interpretation and display of data can be used to answer questions.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots
 Time Estimation

MA.6.DAP.U.3: the choice of data display can affect the visual message communicated.

 Box-and-Whisker Plots
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

MA.6.DAP.U.5: for a given set of data or a graph, statistical measures (mean, median, mode, range) can be used to describe the distribution of the data.

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

MA.6.DAP.U.6: probability can be used to make decisions or predictions or to draw conclusions.

 Conditional Statements
 Independent and Dependent Events
 Polling: Neighborhood
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

MA.6.DAP.S.DR1: select an appropriate graph to represent given data and justify the selection

 Graphing Skills
 Stem-and-Leaf Plots

MA.6.DAP.S.DR2: collect, organize, construct, analyze and interpret data in a variety of graphical methods, including line plots, line graphs, circle graphs, bar graphs and stem-and-leaf plots

 Describing Data Using Statistics
 Distance-Time Graphs
 Elevator Operator (Line Graphs)
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

MA.6.DAP.S.DR3: compare data from various types of graphs

 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)

MA.6.DAP.S.DR4: relate different representations of data (e.g., tables, graphs, diagrams, plots)

 Box-and-Whisker Plots
 Compound Inequalities
 Distance-Time Graphs
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

MA.6.DAP.S.CD1: make predictions, draw conclusions and verify results from statistical data and probability experiments

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

MA.6.DAP.S.CD2: determine and apply measures of distribution (mean, median, mode, range)

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median, and Mode
 Movie Reviewer (Mean and Median)
 Populations and Samples
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

MA.6.DAP.S.ES1: pose questions; collect, organize and display data

 Box-and-Whisker Plots
 Describing Data Using Statistics
 Graphing Skills
 Mascot Election (Pictographs and Bar Graphs)
 Movie Reviewer (Mean and Median)
 Reaction Time 2 (Graphs and Statistics)
 Real-Time Histogram
 Stem-and-Leaf Plots
 Time Estimation

MA.6.DAP.S.ES2: explore how sample size affects the reliability of the outcome

 Polling: City
 Polling: Neighborhood
 Populations and Samples

MA.6.DAP.S.P1: describe or determine (e.g., tables, tree diagrams) the sample space of an event

 Permutations and Combinations

MA.6.DAP.S.P2: investigate solutions to probability problems using counting techniques, tree diagrams, charts and tables

 Permutations and Combinations
 Probability Simulations

MA.6.DAP.S.P3: make predictions, draw conclusions and verify results from statistical data and probability experiments

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

MA.6.DAP.S.P5: explore the role of probability in decision making

 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

MA.6.AT: Algebraic Thinking

MA.6.AT.U: Enduring Knowledge ? Understandings

MA.6.AT.U.2: numerical patterns can be written as rules that generate the pattern.

 Arithmetic and Geometric Sequences
 Function Machines 1 (Functions and Tables)

MA.6.AT.U.6: functions can be written in words, in a symbolic sentence or in a table.

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Introduction to Functions
 Points, Lines, and Equations

MA.6.AT.S.PRF1: recognize, create and extend patterns (give an informal description of the continuation of a pattern and/or generalize a pattern through a verbal rule)

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Pattern Finder

MA.6.AT.S.PRF2: represent, interpret and describe function relationships through tables, graphs and verbal rules

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Points, Lines, and Equations

MA.6.AT.S.PRF3: organize input-output coordinate pairs into tables and plot points in the first quadrant of a coordinate (Cartesian) system/grid

 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Points, Lines, and Equations

MA.6.AT.S.PRF4: explain how the change in one quantity affects change in another quantity (e.g., in tables or graphs, input/output tables)

 Function Machines 1 (Functions and Tables)
 Points, Lines, and Equations
 Translating and Scaling Functions

MA.6.AT.S.VEO1: explore the use of variables in expressions and equations

 Simplifying Algebraic Expressions I
 Simplifying Algebraic Expressions II
 Solving Algebraic Equations I
 Solving Equations on the Number Line
 Using Algebraic Equations

MA.6.AT.S.VEO3: describe, define and provide examples of algebraic expressions based on real-world and/or mathematical situations

 Compound Interest
 Using Algebraic Expressions

MA.6.AT.S.EI3: model and solve real-world problems with one variable equations and inequalities (e.g., 8x = 4, x + 2 > 5)

 Circles
 Compound Inequalities
 Linear Inequalities in Two Variables
 Solving Equations on the Number Line

Correlation last revised: 1/20/2017

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.