THE CONTENT

Level 3
Whole Numbers

Whole Numbers

Whole Numbers

W.1.1.3 Place Value to 10 Thousand
W.1.2.3 Read, Write, Compare, & Order Numbers to 10 Thousand
W.1.3.3 Round Whole Numbers to 10 Thousand

Addition, Expanded Notation, Subtraction

W.3.1.3 Add Whole Numbers
W.3.2.3 Standard & Expanded Notation to 10,000
W.3.3.3 Subtract Whole Numbers

Multiplication, Multiplicative Properties, & Division

W.4.1.3 Multiples
W.4.2.3 Multiplication
W.4.4.3 Multiplicative Properties

Fractions

 Fractions, Compare & Order

F.1.1.3 Proper Fractions
F.1.2.3 Mixed Numbers
F.1.3.3 Compare & Order Fractional Numbers

Simplify, Conversions, Equivalences

F.3.3.3 Visually Compare Fractions

Add & Subtract

F.4.1.3 Add Proper Fractions with Like Denominators
F.4.5.3 Subtract Proper Fractions with Like Denominators

Decimals

 Representations

D.1.2.3 Decimals & Fractions

Operations

D.2.1.3 Add & Subtract Decimals

Estimation

D.3.1.3 Round Decimals

Measurement and Geometry

Measurement Units & Tools

M.1.1.3 Time
M.1.2.3 Unit Conversion

Plane Figures & their Attributes

M.2.1.3 Polygons
M.2.2.3 Angles
M.2.3.3 Parallel, Perpendicular, & Intersecting Lines

Perimeter, Circumference, & Area

M.3.1.3 Perimeter

Coordinate Geometry

M.5.1.3 Graphing Points

 

Level 4
Whole Numbers

Whole Numbers

W.1.1.4 Place Value to 100 Million (PBS: 10,000‐100 million)
W.1.2.4 Read, Write, Compare, & Order Whole Numbers to 100 Million
W.1.3.4 Round Whole Numbers to 100 Thousand

Number Theory

W.2.1.4. Multiples, Squares, Primes, & Factors of Whole Numbers

Addition, Expanded Notation, Subtraction

W.3.1.4 Add Whole Numbers
W.3.2.4 Standard & Expanded Notation to 100 million
W.3.3.4 Subtract Whole Numbers

Multiplication, Multiplicative Properties, & Division

W.4.2.4 Multiplication
W.4.5.4 Division

Fractions

 Fractions, Compare & Order

F.1.1.4: Fractional Numbers
F.1.2.4: Improper Fractions & Mixed Numbers

Decimals

 Representations

D.1.1.4 Write Decimals
D.1.2.4 Decimals & Fractions
D.1.3.4 Compare Decimals

Operations

D.2.2.4 Multiply Decimals
D.2.3.4 Divide Decimals

Estimation

D.3.1.4 Round Decimals

Measurement and Geometry


Measurement Units & Tools

M.1.1.4 Time
M.1.2.4 Unit Conversion

Plane Figures & their Attributes

M.2.1.4 Similar & Congruent
M.2.2.4 Right, Acute, and Obtuse Angles
M.2.4.4 Triangles
M.2.5.4 Quadrilaterals

Perimeter, Circumference, & Area

M.3.1.4 Perimeter & Area
M.3.2.4 Radius & Diameter

Solid Figures & their Attributes

M.4.1.4 Classify Solid Figures

Coordinate Geometry

M.5.1.4 Graphing Points
M.5.2.4 Distance

Ratio and Proportion

Proportions

R.2.1.4 Using Proportions to Solve Problems

Graphs, Data Sets, and Probability


Data Set

G.2.1.4 Mode, Median, & Outliers

Level 5
Whole Numbers

Number Theory
W.2.1.5 Primes & Composites
Multiplication, Multiplicative Properties, & Division
W.4.3.5 Prime Factorization, & Greatest Common Factor
W.4.5.5 Division
W.5.1.5 Powers of Primes, Prime Factorization, & Greatest Common Factor

Fractions

Fractions, Compare & Order
F.1.3.5: Compare & Order Positive Fractional Numbers
Multiply & Divide
F.2.1.5: Fractions of Whole Numbers
F.2.5.5: Divide by Fractions
F.2.6.5: Multiply & Divide Fractions in Context
Simplify, Conversions, Equivalences
F.3.1.5: Simplify Fractions
F.3.2.5: Improper Fractions ‐ Mixed Number Conversions
Add & Subtract
F.4.1.5: Add Fractions with Like Denominators
F.4.2.5: Find the LCD
F.4.3.5: Add Fractions with Unlike Denominators
F.4.4.5: Add Fractions & Mixed Numbers w/Like Denominators
F.4.5.5: Subtract Fractions & Mixed Numbers
F.4.6.5: Add & Subtract Fractions in Context

Decimals

Representations
D.1.1.5 Write Decimals
D.1.2.5 Decimals & Fractions
D.1.3.5 Compare Decimals
Operations
D.2.1.5 Add & Subtract Decimals
D.2.2.5 Multiply Decimals
Estimation
D.3.1.5 Round Decimals

Measurement and Geometry

Measurement Units & Tools
M.1.2.5 Unit Conversion
Plane Figures & their Attributes
M.2.2.5 Sum of Interior Angles
M.2.4.5 Triangles
M.2.5.5 Quadrilaterals
Perimeter, Circumference, & Area
M.3.1.5 Perimeter & Area
Solid Figures & their Attributes
M.4.2.5 Surface Area & Nets
M.4.5.5 Volume
Coordinate Geometry
M.5.1.5 Graphing Points

Ratio and Proportion

Percents
R.3.1.5 Percents
R.3.2.5 Percents of Whole Numbers
Percents
R.4.1.5 Converting Percents to Decimals and Fractions

Graphs, Data Sets, and Probability

Data Sets
G.2.1.5 Mean, Median, Mode, Maximum, Minimum & Range

Level 6
whole Numbers

Addition, Expanded Notation, Subtraction
W.3.2.6 Standard & Expanded Notation to 100 billion
Multiplication, Multiplicative Properties, & Division
W.4.1.6 Multiples & Least Common Multiple
W.4.5.6 Division

Fractions

Fractions, Compare & Order
F.1.3.6 Compare & Order Fractional Numbers
Multiply & Divide
F.2.2.6 Multiply Proper Fractions
F.2.3.6 Multiply Fractions by Fractions & Mixed Numbers
F.2.4.6 Multiply Mixed Numbers by Mixed Numbers
F.2.5.6 Divide Positive Fractions
Simplify, Conversions, Equivalences
F.3.1.6 Simplify Fractions
F.3.2.6 Improper Fractions ‐ Mixed Number Conversions
Add & Subtract
F.4.3.6 Add Fractions with Unlike Denominators
F.4.5.6 Subtract Fractions & Mixed Numbers

Decimals

Representations
D.1.3.6 Compare Decimals
Operations
D.2.2.6 Multiply Decimals
D.2.3.6 Divide Decimals

Measurement and Geometry

Plane Figures & their Attributes
M.2.2.6 Vertical, Complementary, & Supplementary Angles
M.2.4.6 Triangles
M.2.5.6 Quadrilaterals
Perimeter, Circumference, & Area
M.3.1.6 Perimeter & Area
M.3.2.6 Circumference & Area
M.3.3.6 Area of Parallelograms & Trapezoids
Solid Figures & their Attributes
M.4.1.6 Classify Solid Figures
M.4.2.6 Surface Area & Nets
M.4.5.6 Volume
Coordinate Geometry
M.5.2.6 Distance
M.5.3.6 Pythagorean Theorem

Ratio and Proportion

Ratios & Rates
R.1.1.6 Writing Ratios
R.1.2.6 Using Ratios to Express Expected Outcomes
R.1.3.6 Rates
R.1.4.6 Solving Problems Involving Rates
R.1.5.6 Constant Rates of Change
Proportions
R.2.1.6 Using Proportions to Solve Problems
Percents
R.3.2.6 Percents of Whole Numbers
Converting Percents to Decimals & Fractions
R.4.1.6 Converting Percents to Decimals and Fractions
Estimating
R.5.1.6 Estimating with Ranges

Graphs, Data Sets, and Probability

Probabilities
G.3.1.6 Interpret and Represent Probabilities
G.3.2.6 Independent and Dependent EventsThe Real Numbers

6. The Real Numbers

The Real Numbers
6.1.1 The Real Numbers
6.1.2 Inequalities
6.1.3 Absolute Value
6.1.4 Additive Inverse
6.1.5 Multiplicative Inverse
Operations on Integers
6.2.1 Adding Integers
6.2.2 Subtracting Integers
6.2.3 Multiplying Integers
6.2.4 Dividing Integers
6.2.5 Powers of Integers
Operations on Rationals
6.3.1 Adding and Subtracting Fractions
6.3.2 Multiplying and Dividing Fractions
6.3.3 Adding and Subtracting Decimals
6.3.4 Multiplying and Dividing Decimals
Roots, Exponents, Irrationals
6.4.1 Operations on Exponents
6.4.2 Operations on Roots
6.4.3 Operations on Irrationals
Additional Assignments
6.5.1 Order of Operations
6.5.2 Translating English to Math
6.5.3 Word Problems
6.5.4 Scientific Notation
6.5.5 Properties of Real Numbers
6.5.6 Order of Operations ‐‐ Integers
6.5.7 Substitution -- Integers
6.5.8 Roots of Integers ‐‐ non‐real solutions

7. Solving Linear Equations

Algebraic Expressions
7.1.1 Evaluating Algebraic Expressions
7.1.2 Combining Like Terms
7.1.3 Multiplying Monomials
7.1.4 The Distributive Property
Solving Linear Equations
7.2.1 Solving x + b = c
7.2.2 Solving ax = c
7.2.3 Solving ax + b = c
7.2.4 Convertng to ax + b = c Form
Solving Linear Equations with Rationals
7.3.1 Equations with Fractions
7.3.2 Equations with Decimals
Linear4 Inequalities, Absolute Value Equaqtions & Sets
7.4.1 Graphing Inequalities
7.4.2 Solving Linear Inequaltities
7.4.3 Absolute Value Equations & Inequalities
7.4.4 Sets
7.4.5 Union and Intersection
Additional Assignments
7.5.1 Solving Translated Problems
7.5.2 Tolerance
7.5.3 Compound Inequalities
7.5.4 Mixture
7.5.5 Investment
7.5.6 Motion
7.5.7 Commission

Graphing Linear Equations

Plotting Points
8.1.1 Ordered Pairs as Solutions
8.1.2 Plotting Ordered Pairs
8.1.3 Table of Values
Forms of Linear Equatins & Intercepts
8.2.1 y=mx+b
8.2.2 x‐ and y‐Intercepts
8.2.3 Ax+By=C Intercepts
Slope
8.3.1 Calculating Slope
8.3.2 Parallel Lines
8.3.3 Perpendicular Lines
Graphing Linear Equations & Inequalities
8.4.1 Slope‐Intercept
8.4.2 Point‐Slope Equations
8.4.3 Graphing Inequalities
Additional Assignments
8.5.1 Rates of Change

9. Solving Systems of Equations

Graphing Systems of Linear Equations and Inequalities
9.1.1 Systems of Linear Equations
9.1.2 Systems of Linear Inequalities
Solving Systems by Graphing
9.2.1 Systems of Equations by Graphing
9.2.2 Systems of Inequalities by Graphing
Solving Systems by Substitution
9.3.1 Solving by Substitution
Solving Systems by Elimination
9.4.1 Solving by Elimination

11. Polynomials

Exponents & Monomial Operations
11.1.1 Rules of Exponents
11.1.2 Multiplying Monomials
11.1.3 Dividing Monomials
Adding & Subtracting Polynomials
11.2.1 Defining Polynomials
11.2.2 Evaluating Polynomials
11.2.3 Adding and Subtracting Polynomials
Mutliplying Polynomials
11.3.1 Multiplying Polynomials by Monomials
11.3.2 Multiplying Polynomials by Polynomials
Dividing Polynomials
11.4.1 Dividing Polynomials by Monomials
11.4.2 Dividing Polynomials by Polynomials
Additional Assignments
11.5.1 Synthetic Division
11.5.2 Complicated Polynomial Evaluation

12. Factoring

Common Factors & Grouping
12.1.1 Greatest Common Factor
12.1.2 Factoring and the GCF
12.1.3 Factoring by Grouping
Factoring Trinomials
12.2.1 Factoring x^2+bx+c
12.2.2 Factoring ax^2+bx+c
Factoring Special Poolynomials
12.3.1 Factoring the Difference of 2 Squares
12.3.2 Sums & Differences of Cubes
Solving Quadratic Equations
12.4.1 Solving by Factoring
12.4.2 Factoring Perfect Squares
12.4.3 Completing the Square
Additional Assignments
12.5.1 Factoring Completely
12.5.2 Finding the x‐Intercepts of Parabolas

13. Rational Expressions & Equations

Multiplying & Dividing Rational Expressions
13.1.1 Simplifying Rational Expressions
13.1.2 Multiplying Rational Expressions
13.1.3 Dividing Rational Expressions
Adding & Subtracting Rational Expressions
13.2.1 Add & Sub with Like Denominators
13.2.2 Finding the Least Common Denominator
13.2.3 Add & sub with Unlike Denominators
13.2.4 Rational Expressions in General
Solving Rational Equations
13.3.1 Solving Proportions
13.3.2 Solving Rational Equations
Graphing Rational Equatins
13.4.1 Introducing Asymptotes
13.4.2 Solving Rational Equations Graphically
Additional Assignments
13.5.1 Manipulating Rational Equations
13.5.2 Literal Equations
13.5.3 Similar Triangles

14. Exponents & Radicals

Simplifying Radical Expressions
14.1.1 Radicals and Rational Exponents
14.1.2 Simplifying Radical Expressions
14.1.3 Simplifying Expressions Involving Rational Exponents
Operations on Radical Expressions
14.2.1 Adding and Subtracting Radicals
14.2.2 Multiplying Radicals
14.2.3 Rationalizing Denominators
14.2.4 Dividing Radicals
Solving Radical Equations
14.3.1 Solving Radical Equations
Complex Numbers
14.4.1 Imaginary Numbers
14.4.2 Adding & Subtracting Complex Numbers
14.4.3 Multiplying & Dividing Complex Numbers
Additional Assignments
14.5.1 The Distance Formula
14.5.2 The Golden Rectangle
14.5.3 Square Roots ‐‐ Simplifying and Operations

15. Quadratic Equations

Solving Quadratic Equations
15.1.1 Solving by Factoring
15.1.2 Solving with Square Roots
Solving Quadratic Solving by Completing the Square
15.2.1 Factoring Perfect Squares
15.2.2 Completing the Square
15.2.3 Solving by Completing the Square
Graphing Quadratic Equations
15.3.1 Coefficients of Quadratic Equations
15.3.2 x‐Intercepts
15.3.3 Vertex Form y=a(x ‐ h)^2 + k
The Quadratic Formula
15.4.1 Solving with the Quadratic Formula
Additional Assignments
15.5.1 Baseball and Parabolic Motion
15.5.2 Seeing Complex Roots of Quadratics

16. Introduction To Functions

Plotting Functions
16.1.1. Ordered Pairs
16.1.2 Table of Values
16.1.3 Introduction to Functions
16.1.4 Functional Notation & Evaluation
16.1.5 Is it a Function?
Common Functions
16.2.1 Linear Functions
16.2.2 Quadratic Functions ‐‐ Characteistics
16.2.3 Quadratic Functions ‐‐ Intercepts
16.2.4 Identifying Common Functions
Properties of Functions
16.3.1 Domain and Range
16.3.2 Invervals
16.3.3 Properties of Curves
16.3.4 Symmetry
Algebra of Functions
16.4.1 f+g,f‐g,f*g
16.4.2 f/g
16.4.3 Composition of Functions
Inverse Functions
16.5.1 Is it One to One?
16.5.2 Finding the Inverse Function