6.N: Number Sense and Operations

6.N.2: Define and identify the commutative and associative properties of addition and multiplication

Adding and Subtracting Integers
Adding on the Number Line
Addition of Polynomials
Chocomatic (Multiplication, Arrays, and Area)
Equivalent Algebraic Expressions I
Using Algebraic Equations

6.N.3: Define and identify the distributive property of multiplication over addition

Chocomatic (Multiplication, Arrays, and Area)
Equivalent Algebraic Expressions II
Square Roots

6.N.4: Define and identify the identity and inverse properties of addition and multiplication

Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values
Simplifying Algebraic Expressions I
Solving Algebraic Equations I

6.N.7: Express equivalent ratios as a proportion

Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals

6.N.8: Distinguish the difference between rate and ratio

Beam to Moon (Ratios and Proportions)
Proportions and Common Multipliers

6.N.9: Solve proportions using equivalent fractions

Part-to-part and Part-to-whole Ratios

6.N.10: Verify the proportionality using the product of the means equals the product of the extremes

Part-to-part and Part-to-whole Ratios

6.N.11: Read, write, and identify percents of a whole (0% to 100%)

Percent of Change
Percents and Proportions
Percents, Fractions, and Decimals
Real-Time Histogram
Time Estimation

6.N.13: Define absolute value and determine the absolute value of rational numbers (including positive and negative)

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Integers, Opposites, and Absolute Values
Rational Numbers, Opposites, and Absolute Values

6.N.14: Locate rational numbers on a number line (including positive and negative)

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

6.N.15: Order rational numbers (including positive and negative)

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

6.N.16: Add and subtract fractions with unlike denominators

Adding Fractions (Fraction Tiles)
Estimating Sums and Differences
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Fractions with Unlike Denominators
Modeling Fractions (Area Models)

6.N.18: Add, subtract, multiply, and divide mixed numbers with unlike denominators

Fractions Greater than One (Fraction Tiles)

6.N.19: Identify the multiplicative inverse (reciprocal) of a number

Dividing Mixed Numbers
Solving Algebraic Equations I

6.N.21: Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)

Modeling Decimals (Area and Grid Models)
Part-to-part and Part-to-whole Ratios
Percents, Fractions, and Decimals
Rational Numbers, Opposites, and Absolute Values

6.N.22: Evaluate numerical expressions using order of operations (may include exponents of two and three)

Order of Operations

6.N.25: Evaluate expressions having exponents where the power is an exponent of one, two, or three

Order of Operations

6.N.27: Justify the reasonableness of answers using estimation (including rounding)

Estimating Sums and Differences
Multiplying Decimals (Area Model)

6.A: Algebra

6.A.1: Translate two-step verbal expressions into algebraic expressions

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

6.A.3: Translate two-step verbal equations into algebraic equations

Solving Equations on the Number Line
Solving Two-Step Equations

6.A.5: Solve simple proportions within context

Beam to Moon (Ratios and Proportions)
Percents and Proportions
Proportions and Common Multipliers

6.A.6: Evaluate formulas for given input values (circumference, area, volume, distance, temperature, interest, etc.)

Compound Interest

6.G: Geometry

6.G.2: Determine the area of triangles and quadrilaterals (squares, rectangles, rhombi, and trapezoids) and develop formulas

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

6.G.3: Use a variety of strategies to find the area of regular and irregular polygons

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

6.G.4: Determine the volume of rectangular prisms by counting cubes and develop the formula

Balancing Blocks (Volume)
Prisms and Cylinders
Pyramids and Cones

6.G.5: Identify radius, diameter, chords and central angles of a circle

Circles

6.G.6: Understand the relationship between the diameter and radius of a circle

Circles

6.G.7: Determine the area and circumference of a circle, using the appropriate formula

Circumference and Area of Circles

6.G.10: Identify and plot points in all four quadrants

City Tour (Coordinates)
Points in the Coordinate Plane

6.M: Measurement

6.M.1: Measure capacity and calculate volume of a rectangular prism

Balancing Blocks (Volume)
Prisms and Cylinders

6.M.3: Identify equivalent customary units of capacity (cups to pints, pints to quarts, and quarts to gallons)

Unit Conversions

6.M.7: Estimate volume, area, and circumference (see figures identified in geometry strand)

Area of Triangles
Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)

6.S: Statistics and Probability

6.S.1: Develop the concept of sampling when collecting data from a population and decide the best method to collect data for a particular question

Polling: Neighborhood
Populations and Samples

6.S.2: Record data in a frequency table

Histograms
Mascot Election (Pictographs and Bar Graphs)

6.S.4: Determine and justify the most appropriate graph to display a given set of data (pictograph, bar graph, line graph, histogram, or circle graph)

Forest Ecosystem
Graphing Skills
Histograms
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Stem-and-Leaf Plots

6.S.5: Determine the mean, mode and median for a given 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.S.6: Determine the range for a given 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.S.7: Read and interpret graphs

Graphing Skills

6.S.9: List possible outcomes for compound events

Independent and Dependent Events

6.S.10: Determine the probability of dependent events

Independent and Dependent Events