NS: Number and Number Sense

NS.6.1: The student will represent relationships between quantities using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios

NS.6.2: The student will

NS.6.2.a: represent and determine equivalencies among fractions, mixed numbers, decimals, and percents; and

Fraction, Decimal, Percent (Area and Grid Models)
Improper Fractions and Mixed Numbers
Modeling Decimals (Area and Grid Models)
Percents, Fractions, and Decimals

NS.6.2.b: compare and order positive rational numbers.

Comparing and Ordering Decimals

NS.6.3: The student will

NS.6.3.a: identify and represent integers;

Integers, Opposites, and Absolute Values

NS.6.3.b: compare and order integers; and

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

NS.6.3.c: identify and describe absolute value of integers.

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

NS.6.4: The student will recognize and represent patterns with whole number exponents and perfect squares.

Square Roots

CE: Computation and Estimation

CE.6.5: The student will

CE.6.5.a: multiply and divide fractions and mixed numbers;

Dividing Fractions
Dividing Mixed Numbers
Multiplying Fractions
Multiplying Mixed Numbers

CE.6.5.b: solve single-step and multistep practical problems involving addition, subtraction, multiplication, and division of fractions and mixed numbers; and

Dividing Fractions

CE.6.5.c: solve multistep practical problems involving addition, subtraction, multiplication, and division of decimals.

Multiplying with Decimals

CE.6.6: The student will

CE.6.6.a: add, subtract, multiply, and divide integers;

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Adding on the Number Line

CE.6.6.c: simplify numerical expressions involving integers.

Adding and Subtracting Integers
Adding and Subtracting Integers with Chips
Order of Operations

MG: Measurement and Geometry

MG.6.7: The student will

MG.6.7.a: derive ϖ (pi);

Circumference and Area of Circles

MG.6.7.b: solve problems, including practical problems, involving circumference and area of a circle; and

Circumference and Area of Circles

MG.6.7.c: solve problems, including practical problems, involving area and perimeter of triangles and rectangles.

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

MG.6.8: The student will

MG.6.8.a: identify the components of the coordinate plane; and

City Tour (Coordinates)
Points in the Coordinate Plane
Points, Lines, and Equations

MG.6.8.b: identify the coordinates of a point and graph ordered pairs in a coordinate plane.

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

PS: Probability and Statistics

PS.6.10: The student, given a practical situation, will

PS.6.10.a: represent data in a circle graph;

Graphing Skills

PS.6.10.b: make observations and inferences about data represented in a circle graph; and

Graphing Skills

PS.6.11: The student will

PS.6.11.a: represent the mean of a data set graphically as the balance point; and

Mean, Median, and Mode

PS.6.11.b: determine the effect on measures of center when a single value of a data set is added, removed, or changed.

Describing Data Using Statistics
Mean, Median, and Mode

PFA: Patterns, Functions, and Algebra

PFA.6.12: The student will

PFA.6.12.a: represent a proportional relationship between two quantities, including those arising from practical situations;

Beam to Moon (Ratios and Proportions)
Part-to-part and Part-to-whole Ratios
Percents and Proportions
Proportions and Common Multipliers
Slope-Intercept Form of a Line

PFA.6.12.b: determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;

Beam to Moon (Ratios and Proportions)

PFA.6.12.c: determine whether a proportional relationship exists between two quantities; and

Proportions and Common Multipliers

PFA.6.12.d: make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

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

PFA.6.13: The student will solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.

Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations I
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line

PFA.6.14: The student will

PFA.6.14.a: represent a practical situation with a linear inequality in one variable; and

Solving Linear Inequalities in One Variable

PFA.6.14.b: solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

Exploring Linear Inequalities in One Variable
Solving Linear Inequalities in One Variable