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Math
- Number and Quantity – The Real Number System (N-RN)
- Number and Quantity – Quantities (N-Q)
- Algebra – Seeing Structure in Expressions (A-SSE)
- Algebra – Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra – Creating Equations (A-CED)
- Algebra – Reasoning with Equations and Inequalities (A-REI)
- Functions – Interpreting Functions (F-IF)
- Functions – Building Functions (F-BF)
- Functions – Linear, Quadratic, and Exponential Models (F-LE)
- Statistics and Probability – Summarize, represent, and interpret data on a single count or measurement variable. (S-ID)
- Statistics and Probability – Conditional Probability and the rules of Probability (S-CP)
- Number and Quantity – Quantities (N-Q)
- Geometry – Congruence (G-CO)
- Geometry – Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry – Circles (G-C)
- Geometry – Expressing Geometric Properties with Equations (G-GPE)
- Geometry – Geometric Measurement and Dimension (G-GMD)
- Geometry – Modeling with Geometry (G-MG)
- Number and Quantity – The Real Number System (N-RN)
- Number and Quantity – Quantities (N-Q)
- Number and Quantity – The Complex Number System (N–CN)
- Algebra – Seeing Structure in Expressions (A-SSE)
- Algebra – Arithmetic with Polynomials and Rational Expressions (A-APR)
- Algebra – Creating Equations (A-CED)
- Algebra – Reasoning with Equations and Inequalities (A-REI)
- Functions – Interpreting Functions (F-IF)
- Functions – Building Functions (F-BF)
- Functions – Linear, Quadratic, and Exponential Models (F-LE)
- Functions – Trigonometric Functions (F-TF)
- Statistics and Probability – Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability – Making Inferences and Justifying Conclusions (S-IC)
- Statistics and Probability – Conditional Probability and the Rules of Probability (S-CP)
- Number and Quantity – The Complex Number System (N–CN)
- Number and Quantity – Vector and Matrix Quantities (N–VM)
- Algebra – Arithmetic with Polynomials and Rational Expressions (A–APR)
- Algebra – Reasoning with Equations and Inequalities (A-REI)
- Functions – Interpreting Functions (F–IF)
- Functions – Building Functions (F-BF)
- Functions – Trigonometric Functions (F–TF)
- Geometry – Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry – Circles (G-C)
- Geometry – Expressing Geometric Properties with Equations (G-GPE)
- Geometry – Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability – Making Inferences and Justifying Conclusions (S-IC)
- Statistics and Probability – Conditional Probability and the Rules of Probability (S-CP)
- Statistics and Probability – Using Probability to Make Decisions (S-MD)
- Contemporary Mathematics – Discrete Mathematics (CM-DM)
Arizona Math
Algebra 1: Number and Quantity – The Real Number System (N-RN)
A1.N-RN.B.3
Fully 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)