Main content
Math
- Number and Quantity - The Real Number System
- Number and Quantity – Quantities
- Algebra - Seeing Structure in Expressions
- Algebra - Arithmetic with Polynomials and Rational Expressions
- Algebra - Creating Equations
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Linear, Quadratic, and Exponential Models
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Number and Quantity - The Real Number System
- Number and Quantity - The Complex Number System
- Algebra - Seeing Structure in Expressions
- Algebra - Arithmetic with Polynomials and Rational Expressions
- Algebra - Creating Equations
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Linear, Quadratic, and Exponential Models
- Functions - Trigonometric Functions
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Statistics and Probability - Making Inferences and Justifying Conclusions
- Statistics and Probability - Conditional Probability and the Rules of Probability
- Number and Quantity - The Complex Number System
- Number and Quantity - Vector and Matrix Quantities
- Algebra - Arithmetic with Polynomial and Rational Expressions
- Algebra - Reasoning with Equations and Inequalities
- Functions - Interpreting Functions
- Functions - Building Functions
- Functions - Trigonometric Functions
- Geometry - Similarity, Right Triangles, and Trigonometry
- Geometry – Circles
- Geometry - Expressing Geometric Properties with Equations
- Geometry - Geometric Measurement and Dimension
- Statistics and Probability - Interpreting Categorical and Quantitative Data
- Statistics and Probability - Conditional Probability and the Rules of Probability
- Statistics and Probability - Using Probability to Make Decisions
New York Math
Algebra I: Number and Quantity - The Real Number System
Use properties of rational and irrational numbers.
AI-N.RN.3.a
Partially covered
- Proof: √2 is irrational
- Proof: product of rational & irrational is irrational
- Proof: square roots of prime numbers are irrational
- Proof: sum & product of two rationals is rational
- Proof: sum of rational & irrational is irrational
- Proof: there's an irrational number between any two rational numbers
- Rational vs. irrational expressions
- Sums and products of irrational numbers
- Worked example: rational vs. irrational expressions
- Worked example: rational vs. irrational expressions (unknowns)
AI-N.RN.3.b
Mostly covered
- Proof: √2 is irrational
- Proof: product of rational & irrational is irrational
- Proof: square roots of prime numbers are irrational
- Proof: sum & product of two rationals is rational
- Proof: sum of rational & irrational is irrational
- Proof: there's an irrational number between any two rational numbers
- Rational vs. irrational expressions
- Simplify square-root expressions
- Sums and products of irrational numbers
- Worked example: rational vs. irrational expressions
- Worked example: rational vs. irrational expressions (unknowns)