Program of Studies
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 Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
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 Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
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 Whole Numbers and 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 Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and 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)
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 Whole Numbers and 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 Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Percents, Fractions, and Decimals
Rational Numbers, Opposites, and Absolute Values
Subtracting Whole Numbers and 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 Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
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 Whole Numbers and 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.
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)
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);
MA.6.M.S.SM2.b: weight/mass (e.g., pounds, tons, grams, kilograms);
MA.6.M.S.SM2.c: volume/capacity (e.g., cups, pints, quarts, gallons, milliliters, liters)
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
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: 5/11/2018