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 Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
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 Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
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)

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 Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
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 Whole Numbers and 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 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

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