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Math
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Trigonometry
T
Trigonometric Ratios Involving Right Triangles
T
Trigonometric Functions and Unit Circle
M
Model with Trigonometric Functions
T
Trigonometric Identities
Vectors & Matrices
I
Introduction to Vectors and Matrices
V
Vector Quantities
V
Vector Operations
M
Matrix Operations
Calculus
L
Limits and Continuity
D
Derivative Concepts and Notation
D
Derivative Rules and Techniques
A
Applications of Derivatives
O
Optimization Problems
R
Related Rates
C
Curve Sketching and Analysis
I
Integration Concepts and Notation
A
Antiderivatives and Indefinite Integrals
D
Definite Integrals and Area
F
Fundamental Theorem of Calculus
I
Integration Techniques
A
Applications of Integration
D
Differential Equations
S
Sequences and Series
P
Parametric and Polar Functions
V
Vector-Valued Functions
Numbers & Counting
C
Counting Objects
N
Number Names
C
Comparing Numbers
Ratios
R
Ratios and Proportions
P
Proportional Relationships
U
Unit Rate
Statistics & Probability
R
Represent and Interpret Data
D
Data Distributions
S
Statistical Variability
P
Probability Models
C
Compound Event Probabilities
S
Statistical Sampling
I
Interpret Categorical and Quantitative Data
B
Bivariate Data Patterns
I
Interpret Linear Models
C
Comparing Two Populations
R
Random Processes in Statistics
I
Independence and Conditional Probability
E
Expected Values
P
Probability-Based Decision Making
S
Statistical Inference and Conclusions
Measurement & Data
M
Measurable Attributes
M
Measuring Lengths
M
Measure and Estimate Lengths in Standard Units
R
Relate Addition and Subtraction to Length
C
Classifying and Counting Objects
T
Time and Money
A
Area Concepts and Measurement
P
Perimeter and Area Measures
A
Angle Concepts and Measurement
T
Time, Volume, and Mass
M
Measurement Unit Conversions
Geometry
I
Identifying Shapes
S
Shapes and Attributes
S
Shape Attributes and Reasoning
S
Shapes and Composition
C
Classifying 2D Figures
G
Geometric Figures and Relationships
L
Lines, Angles, and Shapes
A
Angle, Area, and Volume
G
Geometric Measurement
V
Volume of 3D Shapes
C
Coordinate Plane Applications
T
Transformations in the Plane
C
Congruence and Similarity
U
Understand congruence in terms of rigid motions
S
Similarity and Transformations
P
Prove Theorems Involving Similarity
P
Pythagorean Theorem
T
Trigonometry for General Triangles
M
Make Geometric Constructions
P
Prove Geometric Theorems
T
Theorems About Circles
F
Find Arc Lengths And Areas of Sectors of Circles
V
Volume Formulas
R
Relationships Between Two-Dimensional and Three-Dimensional Objects
P
Prove Simple Geometric Theorems Algebraically
T
Translate Between Geometric Description and Equation for Conic Section
A
Apply Geometric Concepts in Modeling Situations
Functions
F
Function Concepts and Notation
D
Define and Compare Functions
I
Interpret Functions in Context
A
Analyze Function Representations
M
Model Relationships with Functions
I
Identify Linear vs Exponential Growth
D
Distinguish Between Function Types
C
Compare Growth Rates
I
Interpret Function Expressions
B
Build Functions from Relationships
C
Construct and Model Functions
T
Transform and Combine Functions
M
Model Comparison and Selection
S
Solve Exponential Equations
Fractions & Decimals
F
Fractions as Numbers
B
Building Fractions
F
Fraction Equivalence and Ordering
A
Adding and Subtracting Fractions
M
Multiplying and Dividing Fractions
D
Dividing Fractions
D
Decimal Fractions
M
Multi-Digit Computation and Factors
A
Add, Subtract, Multiply, and Divide Rational Numbers
R
Rational Number System
I
Irrational Numbers and Approximations
Algebra
A
Algebraic Expressions
G
Generate Equivalent Expressions
Q
Quantitative Relationships
P
Proportional Relationships and Linear Equations
E
Equations and Inequalities
E
Equation Solving and Reasoning
L
Linear Equations and Systems
G
Graph Equations and Inequalities
S
Systems of Equations
R
Real-World Algebraic Problems
Q
Quantitative Reasoning with Units
E
Expression Structure
E
Equivalent Expression Forms
R
Radicals and Integer Exponents
R
Rational Exponents
R
Rational and Irrational Numbers
P
Polynomial Operations
P
Polynomial Identities
P
Polynomial Zeros and Factors
R
Rational Expressions
C
Complex Number Operations
C
Complex Numbers in Polynomials
C
Complex Numbers on Plane
Number Operations
C
Counting Sequence
N
Numbers 0-10
P
Place Value Understanding and System
A
Add and Subtract Within 20
A
Addition and Subtraction Concepts
A
Addition and Subtraction Equations
A
Addition and Subtraction Problems
F
Foundations for Multiplication
M
Multiplication and Division Properties
M
Multiply and Divide Within 100
M
Multiplication and Division Problems
F
Factors and Multiples
P
Properties of Operations
P
Patterns and Relationships
G
Generate and Analyze Patterns
M
Multi-Digit Arithmetic
P
Place Value Operations
M
Multi-Digit and Decimal Operations
N
Numerical Expressions
F
Four Operations and Patterns
F
Four Operations Problem Solving