6.1: Students understand and use basic and advanced concepts of number and number systems

6.1.1: Use a fraction to represent parts of a whole, division, or a ratio

 Beam to Moon (Ratios and Proportions)
 Dividing Fractions
 Dividing Mixed Numbers
 Fraction Artist 1 (Area Models of Fractions)
 Fraction Artist 2 (Area Models of Fractions)
 Fraction Garden (Comparing Fractions)
 Modeling Fractions (Area Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals
 Proportions and Common Multipliers
 Solving Algebraic Equations II
 Toy Factory (Set Models of Fractions)

6.1.2: Explain and use whole number percents 1 to 100

 Percent of Change
 Percents and Proportions
 Percents, Fractions, and Decimals

6.1.3: Find the equivalent forms among fractions, decimals, and whole number percents

 Modeling Decimals (Area and Grid Models)
 Part-to-part and Part-to-whole Ratios
 Percents, Fractions, and Decimals

6.1.4: Compare and order fractions, decimals, mixed numbers and integers

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

6.1.5: Generate a list of factors, prime factors, and multiples

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

6.1.6: Use rules to determine divisibility by 2, 3, 5, 6, 9, and 10

 Factor Trees (Factoring Numbers)

6.1.7: Explain the effects of arithmetic operations on fractions and decimals

 Adding Decimals (Base-10 Blocks)
 Adding Fractions (Fraction Tiles)
 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 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
 Subtracting Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.1.8: Identify the uses of the commutative and associative properties of addition and multiplication; e.g., grouping numbers to make addition or multiplication easier

 Adding and Subtracting Integers
 Adding on the Number Line
 Addition of Polynomials
 Chocomatic (Multiplication, Arrays, and Area)

6.1.9: Use order of operations; i.e., multiplication, division, addition and subtraction, to simplify numeric expressions

 Order of Operations
 Solving Algebraic Equations II

6.1.10: Multiply and divide decimals

 Multiplying Decimals (Area Model)
 Multiplying with Decimals
 Square Roots

6.1.11: Add, subtract, multiply, and divide fractions

 Dividing Fractions
 Dividing Mixed Numbers
 Estimating Sums and Differences
 Improper Fractions and Mixed Numbers
 Multiplying Mixed Numbers

6.1.13: Use problem solving strategies to solve and verify the results of problems

 Estimating Population Size

6.1.14: Estimate the results of problems involving whole numbers, fractions, and decimals

 Adding 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 Decimals (Base-10 Blocks)
 Sums and Differences with Decimals

6.2: Student understands and applies geometric concepts and spatial relationships to represent and solve problems in mathematical and nonmathematical situations

6.2.1: Identify relationships between pairs of angles; i.e., adjacent, vertical, complementary, and supplementary

 Triangle Angle Sum

6.2.2: Identify polygons; i.e., triangle, rectangle, square, rhombus, parallelogram, trapezoid, pentagon, hexagon, octagon

 Classifying Triangles

6.2.4: Use ordered pairs to locate a point on a coordinate plane

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

6.2.5: Identify, describe, and model motion geometry; i.e., rotations, reflections, and translations

 Absolute Value with Linear Functions
 Circles
 Holiday Snowflake Designer
 Rock Art (Transformations)
 Rotations, Reflections, and Translations

6.3: Students use data collection and analysis techniques, statistical methods, and probability to solve problems

6.3.1: Collect and organize data, select and use an appropriate display; i.e., a frequency table, a line and bar graph

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

6.3.3: Use experiments or simulations to determine probabilities

 Geometric Probability
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

6.3.4: Use decimal values and ratios to represent probability

 Estimating Population Size
 Independent and Dependent Events
 Probability Simulations
 Spin the Big Wheel! (Probability)
 Theoretical and Experimental Probability

6.3.5: Calculate the mean, median, mode, and range of a set 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

6.3.6: Make predictions based on trends identified in tables and graphs

 Trends in Scatter Plots

6.4: Students use concepts and tools of measurement to describe and quantify the world

6.4.3: Convert unit measurements within the same system (metric and standard)

 Unit Conversions

6.4.4: Distinguish among perimeter, area, surface area, and volume

 Area of Parallelograms
 Area of Triangles
 Balancing Blocks (Volume)
 Chocomatic (Multiplication, Arrays, and Area)
 Circumference and Area of Circles
 Fido's Flower Bed (Perimeter and Area)
 Perimeter and Area of Rectangles
 Prisms and Cylinders
 Pyramids and Cones
 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

6.4.5: Select appropriate tools and units to determine the measurements needed for calculating perimeter, circumference, area, surface area, and volume

 Area of Triangles
 Fido's Flower Bed (Perimeter and Area)
 Surface and Lateral Areas of Prisms and Cylinders

6.4.6: Use formulas to determine the circumference and area of circles and the perimeter and area of triangles and parallelograms

 Area of Triangles

6.4.7: Use area formulas to determine the surface area of right prisms and square pyramids

 Surface and Lateral Areas of Prisms and Cylinders
 Surface and Lateral Areas of Pyramids and Cones

6.4.8: Use formulas to determine the volume of rectangular prisms

 Balancing Blocks (Volume)
 Prisms and Cylinders
 Surface and Lateral Areas of Prisms and Cylinders

6.5: Students use algebraic concepts, functions, patterns, and relationships to solve problems

6.5.1: Identify and describe patterns represented by tables, graphs, and sequences

 Arithmetic Sequences
 Finding Patterns
 Function Machines 2 (Functions, Tables, and Graphs)
 Geometric Sequences
 Graphing Skills

6.5.2: Use a variable to represent an unknown quantity

 Solving Algebraic Equations I

6.5.3: Use representations to solve problems; i.e., tables and numerical sentences

 Mascot Election (Pictographs and Bar Graphs)

6.5.4: Recognize examples of change over time; e.g., growth of a sixth grader from September to May

 Translating and Scaling Functions

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.