6.M.1: Number and Operation

6.M.1.1: Understand and use numbers.

6.M.1.1.1: Compare magnitudes and relative magnitudes of positive rational numbers, including whole numbers through billions, fractions, and decimals.

 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

6.M.1.1.2: Explain the interrelationship of fractions, decimals, and percents.

 Fraction Garden (Comparing Fractions)
 Modeling Decimals (Area and Grid Models)
 Modeling Fractions (Area Models)
 Modeling Whole Numbers and Decimals (Base-10 Blocks)
 Part-to-part and Part-to-whole Ratios
 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Rational Numbers, Opposites, and Absolute Values
 Toy Factory (Set Models of Fractions)
 Treasure Hunter (Decimals on the Number Line)

6.M.1.1.3: Locate the position of integers on a number line.

 Adding on the Number Line
 Integers, Opposites, and Absolute Values
 Rational Numbers, Opposites, and Absolute Values

6.M.1.1.4: Convert between decimals and fractions.

 Modeling Decimals (Area and Grid Models)

6.M.1.1.5: Apply number theory concepts (prime, composite, prime factorization) and identify common factors and common multiples.

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

6.M.1.1.7: Describe the use of integers in real world situations.

 Integers, Opposites, and Absolute Values

6.M.1.2: Perform computations accurately.

6.M.1.2.2: Add, subtract, multiply, and divide whole numbers, decimals, and simple fractions (including unlike denominators).

 Adding Fractions (Fraction Tiles)
 Adding Whole Numbers and Decimals (Base-10 Blocks)
 Cargo Captain (Multi-digit Subtraction)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Factor Trees (Factoring Numbers)
 Fraction Artist 1 (Area Models of Fractions)
 Fractions Greater than One (Fraction Tiles)
 Fractions with Unlike Denominators
 Modeling Fractions (Area Models)
 Multiplying Decimals (Area Model)
 Multiplying Fractions
 Multiplying Mixed Numbers
 Multiplying with Decimals
 Percents, Fractions, and Decimals
 Square Roots
 Subtracting Whole Numbers and Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.M.1.2.3: Evaluate numerical expressions with whole numbers using the order of operations (excluding exponents).

 Order of Operations

6.M.1.2.5: Use a variety of strategies to solve real life problems.

 Estimating Population Size

6.M.1.3: Estimate and judge reasonableness of results.

6.M.1.3.5: Formulate conjectures and discuss why they must be or seem to be true.

 Biconditional Statements

6.M.2: Concepts and Principles of Measurement

6.M.2.1: Understand and use U.S. customary and metric measurements.

6.M.2.1.3: Apply understanding of relationships to solve real-world problems related to elapsed time.

 Elapsed Time

6.M.2.1.4: Given the formulas, find the perimeter or circumference and area of triangles, circles and parallelograms (all kinds).

 Area of Parallelograms
 Area of Triangles
 Circumference and Area of Circles
 Perimeter and Area of Rectangles

6.M.2.1.5: Convert units of measurement within each system in one-step problems (e.g., quarts to gallons and gallons to quarts).

 Unit Conversions

6.M.2.1.6: Solve problems involving perimeter and area of rectangles.

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

6.M.2.2: Apply the concepts of rates, ratios, and proportions.

6.M.2.2.1: Identify and write ratios and scales (on a map).

 Points in the Coordinate Plane

6.M.3: Concepts and Language of Algebra and Functions

6.M.3.1: Use algebraic symbolism as a tool to represent mathematical relationships.

6.M.3.1.1: Discuss the meaning and use of variables in simple expressions and equations.

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

6.M.3.1.2: Translate simple word statements into algebraic equations.

 Improper Fractions and Mixed Numbers
 Multiplying with Decimals
 Solving Equations on the Number Line
 Using Algebraic Equations
 Using Algebraic Expressions

6.M.3.1.3: Read and use symbols of "<," ">," and "=" to express relationships.

 Comparing and Ordering Decimals

6.M.3.2: Evaluate algebraic expressions.

6.M.3.2.1: Use the following properties in evaluating numerical expressions: commutative, associative, identity, zero, inverse, and distributive.

 Equivalent Algebraic Expressions I
 Equivalent Algebraic Expressions II
 Order of Operations
 Solving Equations by Graphing Each Side

6.M.3.3: Solve algebraic equations and inequalities.

6.M.3.3.1: Solve one-step equations with whole numbers.

 Modeling One-Step Equations
 Solving Algebraic Equations II
 Solving Equations on the Number Line

6.M.3.4: Understand the concept of functions.

6.M.3.4.1: Extend simple patterns and state a rule (function) that generates the pattern using whole numbers, decimals, and fractions as inputs.

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Multiplying with Decimals
 Pattern Finder

6.M.3.4.2: Describe and extend patterns by using manipulatives and pictorial representations.

 Finding Patterns
 Pattern Finder

6.M.3.4.4: Use appropriate vocabulary.

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

6.M.4: Concepts and Principles of Geometry

6.M.4.1: Apply concepts of size, shape, and spatial relationships.

6.M.4.1.1: Describe relationships among types of one- and two-dimensional geometric figures, using their defining properties.

 Classifying Triangles

6.M.4.1.4: Describe reflections, translations, and rotations on various shapes.

 Holiday Snowflake Designer
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

6.M.4.1.5: Identify congruence, similarities, and line symmetry of shapes.

 Holiday Snowflake Designer
 Similarity in Right Triangles

6.M.4.1.6: Discuss the spatial relationship between two- and three-dimensional objects.

 3D and Orthographic Views

6.M.4.3: Apply graphing in two dimensions.

6.M.4.3.1: Identify and plot points in the first quadrant on a coordinate plane.

 City Tour (Coordinates)
 Points in the Coordinate Plane

6.M.5: Data Analysis, Probability, and Statistics

6.M.5.1: Understand data analysis.

6.M.5.1.1: Read and interpret tables, charts, and graphs, including broken line graphs, bar graphs, frequency tables, line plots, and circle graphs.

 Elevator Operator (Line Graphs)
 Graphing Skills
 Histograms
 Mean, Median, and Mode
 Prairie Ecosystem
 Reaction Time 1 (Graphs and Statistics)

6.M.5.1.3: Use appropriate vocabulary and notations.

 Polling: City

6.M.5.2: Collect, organize, and display data.

6.M.5.2.1: Collect, organize, and display the data with appropriate notation in tables, charts, and graphs, including broken line graphs, bar graphs, frequency tables and line plots.

 Graphing Skills

6.M.5.3: Apply simple statistical measurements.

6.M.5.3.1: Find measures of central tendency – mean, median, and mode – with simple sets of 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)
 Sight vs. Sound Reactions
 Stem-and-Leaf Plots

6.M.5.3.2: Calculate the range of a set of data.

 Describing Data Using Statistics
 Mean, Median, and Mode
 Reaction Time 1 (Graphs and Statistics)
 Reaction Time 2 (Graphs and Statistics)
 Stem-and-Leaf Plots

6.M.5.4: Understand basic concepts of probability.

6.M.5.4.1: Predict, perform, and record results of simple probability experiments.

 Independent and Dependent Events
 Probability Simulations
 Theoretical and Experimental Probability

6.M.5.4.2: Use the language of probability.

 Probability Simulations
 Theoretical and Experimental Probability

Correlation last revised: 4/4/2018

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