MA.6.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

MA.6.1.1: Compare and order fractions, decimals, and percents

Comparing and Ordering Decimals
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rational Numbers, Opposites, and Absolute Values
Treasure Hunter (Decimals on the Number Line)

MA.6.1.2: Explain and give examples of number theory concepts (e.g., prime factorization, common factors, greatest common factor, common multiples, least common multiple, divisibility)

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)

MA.6.2: Understand the meaning of operations and how they relate to each other

MA.6.2.1: Apply the order of operations when calculating with whole numbers

Order of Operations

MA.6.2.2: Use the operation properties to simplify computations with fractions, decimals, and percents

Estimating Sums and Differences
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Multiplying with Decimals
Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Proportions and Common Multipliers
Real-Time Histogram
Sums and Differences with Decimals
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

MA.6.3: Use computational tools and strategies fluently and, when appropriate, use estimation

MA.6.3.1: Use estimation prior to computing with fractions and decimals and compare the estimation to the actual result

Adding Whole Numbers and Decimals (Base-10 Blocks)
Dividing Fractions
Dividing Mixed Numbers
Estimating Sums and Differences
Improper Fractions and Mixed Numbers
Multiplying Decimals (Area Model)
Multiplying Mixed Numbers
Multiplying with Decimals
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Sums and Differences with Decimals

MA.6.4: Understand attributes, units, and systems of units in measurement; and develop and use techniques, tools, and formulas for measuring

MA.6.4.3: Apply strategies and formulas to solve area and perimeter problems involving polygons (e.g., regular hexagons) and complex shapes (i.e., shapes composed of two or more common shapes)

Area of Parallelograms
Area of Triangles
Balancing Blocks (Volume)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Perimeter and Area of Rectangles

MA.6.7: Use visualization and spatial reasoning to solve problems both within and outside of mathematics

MA.6.7.1: Construct a two-dimensional representation from different angles of a three-dimensional object

Surface and Lateral Areas of Prisms and Cylinders

MA.6.9: Understand various types of patterns and functional relationships

MA.6.9.1: Represent visual and numerical patterns with tables and graphs and generalize the “rule” using words and symbols

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

MA.6.9.2: Describe simple one-step functions using words and symbols when given a table of “input” and “output” values

Function Machines 1 (Functions and Tables)

MA.6.10: Use symbolic forms to represent, model, and analyze mathematical situations

MA.6.10.3: Evaluate algebraic expressions

Compound Interest
Order of Operations
Simplifying Algebraic Expressions II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line

MA.6.11: Pose questions and collect, organize, and represent data to answer those questions

MA.6.11.1: Analyze how data collection methods and sample size can affect the results of data sets

Describing Data Using Statistics
Polling: City
Populations and Samples
Reaction Time 2 (Graphs and Statistics)

MA.6.12: Interpret data using methods of exploratory data analysis

MA.6.12.1: Determine and interpret the measures of center (mean, median, mode) of a data set and explain what each measure indicates about the data set

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)
Sight vs. Sound Reactions
Stem-and-Leaf Plots

MA.6.12.2: Use a stem-and-leaf plot to analyze a set of data

Stem-and-Leaf Plots

MA.6.13: Develop and evaluate inferences, predictions, and arguments that are based on data

MA.6.13.1: Make inferences about a population based on the interpretation of a sample data set

Polling: City
Populations and Samples

MA.6.14: Understand and apply basic notions of chance and probability

MA.6.14.1: Compute probabilities of simple compound events (e.g., rolling two dice, using two different spinners at the same time)

Independent and Dependent Events
Theoretical and Experimental Probability