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Addition Facts Within 10
Understanding Subtraction
Two-Dimensional Shapes
Using Calendars
Powers of Ten
Multi-Digit Multiplication & Division
Writing and Interpreting Expressions
Volume of Rectangular Prisms
Understanding and Calculating Slope
Solving Systems by Graphing
Parallel Lines and Transversals
Function Analysis with Derivatives
Counting to 20
Count Sequence to 120
Skip Counting by 2s, 5s, and 10s
Comparing Numbers Within 10
Ordinal Numbers
Tens and Ones
Comparing and Ordering Two-Digit Numbers
Understanding Addition
Addition Facts Within 20
Adding Tens and Two-Digit Plus One-Digit
Subtraction Facts Within 10
Subtraction Facts Within 20
Subtracting Tens and 1-Digit Numbers
Fact Families
True or False Equations
Word Problems Within 10
Word Problems Within 20
Comparing and Measuring Lengths
Days, Months, and Seasons
Counting Coins
Three-Dimensional Shapes
Reading Graphs and Tally Charts
Repeating Patterns
Growing Number Patterns
Counting to 1,000
Skip Counting by 3s, 4s, and 100s
Even and Odd Numbers
Hundreds, Tens, and Ones
Picture Graphs and Bar Graphs
Line Plots
Missing Numbers in Equations
Estimating Sums and Differences
Two-Step Expressions
Comparing Fractions
Comparing Weight and Capacity
Telling Time to the Hour and Half Hour
Coin Recognition and Values
Composing and Decomposing Shapes
Halves and Quarters
Standard, Expanded, and Word Form
Comparing and Ordering 3-Digit Numbers
Quick Addition & Subtraction Within 20
Two-Digit Addition Without Regrouping
Three-Digit Addition
Adding Three or Four Two-Digit Numbers
Two-Digit Addition and Subtraction Word Problems
Estimating Sums and Differences
Rounding to the Nearest Ten
Estimating and Comparing Lengths
Measuring Length with Standard Units
Two-Step Word Problems
Regrouping Hundreds, Tens, and Ones
Two-Digit Subtraction Without Regrouping
Sorting & Categorizing Objects
Three-Digit Subtraction
Two-Digit Subtraction With Regrouping
Missing Numbers in Two-Digit Equations
Arrays and Repeated Addition
Three-Digit Addition and Subtraction Word Problems
Properties of Addition
Telling Time to 5 Minutes
Length Word Problems
Counting Money up to One Dollar
Dollars and Cents with Bills
Attributes of 2D Shapes
Attributes of 3D Shapes
Equal Parts and Naming Fractions
Adding and Subtracting Money
Introduction to Area and Perimeter
Partitioning Rectangles
Fractions of a Group
Comparing and Ordering Large Numbers
Number Patterns with Rules
Place Value up to Ten Thousands
Rounding to the Nearest Ten and Hundred
Subtraction Within 1,000 with Regrouping
Addition Within 1,000 with Regrouping
4- and 5-Digit Addition
Understanding Multiplication
4- and 5-Digit Subtraction
Multiplication Facts: 3, 4, and 6
Multiplication Facts: 7, 8, and 9
Properties of Multiplication
Multiply by 0, 1, 2, 5, and 10
Multiplying by Multiples of Ten
Division Facts: 1, 2, 5, and 10
Understanding Division
Division Facts: 3 Through 9
Division with Remainders
Multiplication and Division Word Problems
Multi-Step Word Problems
Unknown Numbers in Equations
Equivalent Fractions
Understanding Unit Fractions
Non-Unit Fractions and Whole Numbers
Area by Counting Unit Squares
Area Formula for Rectangles
Classifying Quadrilaterals
Area of Composite Figures
Lines, Rays, and Angles
Elapsed Time
Comparing Area and Perimeter
Perimeter of Polygons
Telling Time to the Minute
Mass and Liquid Volume
Making Change & Money Word Problems
Line Plots with Fractional Data
Scaled Picture and Bar Graphs
Arithmetic Patterns in Operations
Rounding Whole Numbers
Place Value Through Millions
Comparing and Ordering Multi-Digit Numbers
Estimating Products and Quotients
Multiplying Multi-Digit by One-Digit Numbers
Multiplying Two-Digit by Two-Digit Numbers
Adding and Subtracting Multi-Digit Numbers
Multi-Digit by 1-Digit Division
Number and Shape Patterns
Factors and Multiples
Properties of Multiplication
Prime and Composite Numbers
Multi-Step Word Problems
Generating Equivalent Fractions
Comparing and Ordering Fractions
Tenths and Hundredths
Multiplying Fractions by Whole Numbers
Adding Fractions with Related Denominators
Mixed Numbers and Improper Fractions
Add and Subtract Like Fractions
Decimals Through Hundredths
Lines, Rays, Angles, and Parallel Lines
Comparing and Ordering Decimals
Measuring and Drawing Angles
Adding and Subtracting Decimals
Classifying 2D Shapes
Area and Perimeter of Rectangles
Converting Units of Measurement
Elapsed Time Word Problems
Money Word Problems
Reading and Interpreting Graphs
Line Plots with Fractional Data
Decimal Place Value to Thousandths
Multi-Digit Multiplication
Dividing by Two-Digit Divisors
Basic Divisibility Rules
Multi-Step Word Problems
Add & Subtract Fractions with Unlike Denominators
Multiplying Fractions by Fractions
Add & Subtract Mixed Numbers
Multiplying Mixed Numbers
Dividing with Unit Fractions and Whole Numbers
Multiplication as Scaling
Fraction Multiplication & Division Word Problems
Area with Fractional Side Lengths
Comparing, Ordering, and Rounding Decimals
Add & Subtract Decimals
Multiplying Decimals by Whole Numbers
Multiplying Decimals by Decimals
Dividing Decimals by Whole Numbers
Dividing by Decimals
Fractions and Decimals
Order of Operations
Introduction to Variables
Graphing Points in the First Quadrant
Number Patterns & Relationships
Converting Metric Units
Classifying 2D Shapes
Converting Customary Units
Time and Money Calculations
Area with Decimal Side Lengths
Line Plots with Fractions
Reading and Creating Graphs
Introduction to Mean
Mixed Operations with Fractions & Decimals
Rational Number Word Problems
GCF and LCM
Prime Factorization Using Factor Trees
Extended Divisibility Rules
Fraction and Mixed Number Operations
All Operations with Decimals
Rates and Unit Rates
Dividing Fractions by Fractions
Ratios and Equivalent Ratios
Intro to Proportional Relationships
Ratio Word Problems
Finding a Percent of a Number
Understanding Negative Numbers
Fractions, Decimals, and Percents
Absolute Value of Numbers
Adding and Subtracting Integers
Whole Number Exponents
Ordering Rational Numbers
Order of Operations with Exponents
Algebraic Expressions
Evaluating Algebraic Expressions
Combining Like Terms
Distributive Property with Variables
Solving One-Step Equations
Solving One-Step Inequalities
One-Step Equation Word Problems
Four Quadrant Coordinate Plane
Dependent and Independent Variables
Volume with Fractional Edges
Area of Parallelograms and Triangles
Area of Composite Figures
Nets of 3D Figures
Unit Conversion with Ratios
Surface Area of Prisms
Dot Plots and Frequency Tables
Mean, Median, Mode, and Range
Reading and Creating Histograms
Box Plots and Interquartile Range
Mean Absolute Deviation
Multiplying and Dividing Integers
Order of Operations with Rational Numbers
Absolute Value in Expressions and Equations
Converting Fractions and Decimals
Multiplying and Dividing Rational Numbers
Adding and Subtracting Rational Numbers
Integer & Rational Bases
Unit Rates with Fractions
Understanding Proportional Relationships
Proportion Word Problems
Solving Proportions
Percent Word Problems
Percent Change and Error
Interpreting Linear Expressions
Simplifying Algebraic Expressions
Consumer Math with Percents
Identifying Equivalent Expressions
Multi-Step Equation Word Problems
Multi-Step Linear Equations
Graphing Two-Variable Equations
Inequality Word Problems
Angle Relationships
Triangle Properties & Classification
Surface Area and Volume of Prisms
One- and Two-Step Inequalities
Area of Composite Figures
Area and Circumference of Circles
Cross-Sections of 3D Figures
Scale Drawings and Maps
Congruence and Similarity
Sampling and Inference
Introduction to Transformations
Introduction to Slope
Graphing Proportional Relationships
Compound Events and Probability
Measures of Center and Variability
Basic Probability Concepts
Arithmetic Sequences
Probability Models and Simulations
Understanding Irrational Numbers
Repeating Decimals and Fractions
Properties of Integer Exponents
Negative and Zero Exponents
Reading and Writing Scientific Notation
Square Roots and Cube Roots
Comparing and Computing with Scientific Notation
Advanced Expression Simplification
Number of Solutions to Equations
Equations with Variables on Both Sides
Equation Word Problems: Variables on Both Sides
Direct Variation Equations
Compound Percent Problems
X-Intercepts and Y-Intercepts
Slope-Intercept Form
Writing Linear Equations
Graphing Linear Equations
Comparing Linear Functions
Real-World Linear Models
Solving Systems by Substitution
Multi-Step and Compound Inequalities
Number of Solutions to Systems
Systems of Equations Word Problems
Triangle Angle Relationships
Recognizing and Classifying Functions
Volume of Cylinders, Cones, and Spheres
Surface Area of Cylinders and Cones
Rigid Transformations
Congruence and Similarity through Transformations
Pythagorean Theorem Applications
Dilations and Scale Factors
Scatter Plots and Trend Lines
Pythagorean Theorem
Two-Way Frequency Tables
Probability from Two-Way Tables
Introduction to Nonlinear Functions
Geometric Sequences and Common Ratios
Literal Equations and Formulas
Linear Equations in One Variable
Solving Quadratics by Factoring
Quadratic Formula and Completing the Square
Linear & Compound Inequalities
Linear and Quadratic Word Problems
Absolute Value Inequalities
Systems of Linear Inequalities
Quadratic Inequalities
Function Notation & Evaluation
Function Concepts and Domain
Quadratic Functions and Graphs
Linear Functions and Graphs
Absolute Value Equations
Piecewise and Absolute Value Functions
Average Rate of Change
Intro to Inverse Functions
Domain and Range Analysis
Solving Systems of Linear Equations
Systems of Equations Word Problems
Properties of Integer Exponents
Systems of Three Linear Equations
Rational Exponents
Polynomial Operations
Special Products and Patterns
Simplifying Radicals
Operations with Radicals
Exponential Growth and Decay Models
Arithmetic Sequences
Comparing Linear and Exponential Models
Basic Radical Equations
Geometric Sequences
Modeling with Sequences
Two-Way Frequency Tables
Descriptive Statistics
Factoring Polynomials
Geometric Proof Methods
Conditional Statements and Logic
Irrational Numbers and Closure
The Real Number System
Linear Regression and Correlation
Basic Geometric Constructions
Angle Relationships
Points, Lines, Segments, and Planes
Parallel Lines and Transversals
Coordinate Geometry of Lines
Pythagorean Theorem Proofs and Converse
Triangle Angle Relationships
Polygon Angle Sums
Similar Figures and Scale Factors
Triangle Congruence Proofs
Triangle Congruence Theorems
Corresponding Parts of Congruent Triangles
Triangle Similarity Theorems
Proportionality Theorems
Proofs Using Similarity
Special Properties of Triangles
Properties of Parallelograms
Special Quadrilaterals
Proofs with Quadrilaterals
Rigid Motions
Dilations and Similarity Transformations
Coordinate Proofs with Quadrilaterals
Line and Rotational Symmetry
Arcs, Sectors, and Central Angles
Chords, Secants, and Tangents
Inscribed Angles and Arcs
Geometric Mean in Right Triangles
Trigonometric Ratios
Equations of Circles
Law of Sines and Cosines
Solving Right Triangles
Areas of Polygons and Circles
Surface Area and Volume of Solids
Circle Constructions
Similar Solids
Cross Sections and Solids of Revolution
Parabolas: Focus and Directrix
Introduction to Complex Numbers
Complex Plane Operations
Quadratic Equations with Complex Solutions
Special Right Triangles
Higher-Degree Polynomial Operations
Graphs of Polynomial Functions
Radical and Rational Equations
Nonlinear Systems of Equations
Fundamental Theorem of Algebra
Polynomial Modeling
Solving Rational Equations
Direct and Inverse Variation
Exponential Functions and Graphs
Function Transformations
Polynomial and Rational Inequalities
Introduction to Logarithms
Solving Exponential Equations
Rational Expressions
Properties of Logarithms
Solving Logarithmic Equations
Logarithmic Function Graphs
Natural Logarithm and the Number e
Unit Circle and Radian Measure
Graphs of Rational Functions
Pythagorean Identity
Graphs of Trigonometric Functions
Sinusoidal Modeling
Sigma Notation & Series Properties
Basic Trigonometric Equations
Arithmetic Series
Binomial Theorem
Geometric Series
Permutations and Combinations
Compound Probability
Geometric Probability
Hyperbolas and Their Equations
Ellipses and Their Equations
Data Analysis and Distributions
Complex Numbers in Polar Form
Comprehensive Function Analysis
Trigonometric Identities
Composite and Inverse Functions
Expected Value and Probability Decisions
Solving Trigonometric Equations
Identifying Conic Sections
Vector Operations
Vector Applications
Matrix Operations
Matrix Inverses and Linear Systems
Inverse Trigonometric Functions
Matrices as Transformations
Polar Coordinates
Parametric Equations
Polar Curves
Concept of Limits
Infinite Limits and Limits at Infinity
Dot Product and Vector Angles
Squeeze Theorem & Special Limits
Basic Derivative Rules
Definition of the Derivative
Product, Quotient & Chain Rules
Computing Limits Algebraically
Continuity and Intermediate Value Theorem
Exponential and Logarithmic Modeling
Higher-Order Derivatives
Motion and Rate of Change
Related Rates
Optimization Problems
Implicit Differentiation
Conditional Probability
L'Hopital's Rule & Linear Approximation
Antiderivatives & Indefinite Integrals
Derivatives of Trigonometric and Inverse Functions
Fundamental Theorem of Calculus
Integration by Substitution
Area Between Curves
Evaluating Definite Integrals
Riemann Sums and Area Approximation
Integration Applications in Motion
Introduction to Differential Equations
