Contenido principal
Math
- Number and Quantity: The Real Number System (N-RN)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- 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: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Number and Quantity: Quantities (N-Q)
- Algebra: Expressions and Expressions (EE)
- Algebra: Seeing Structure in Expressions (A-SSE)
- Algebra: Creating Equations (A-CED)
- Algebra: Reasoning with Equations and Inequalities (A-REI)
- Functions: Functions (F)
- Functions: Interpreting Functions (F-IF)
- Functions: Building Functions (F-BF)
- Functions: Linear, Quadratic, and Exponential Models (F-LE)
- Geometry: Geometry (G)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Statistics and Probability (SP)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- 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: Interpreting Categorical and Quantitative Data (S-ID)
- 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)
- Geometry: Expressing Geometric Properties with Equations (G-GPE)
- 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: Quantities (N-Q)
- Algebra: Seeing Structure in Expressions (A-SSE)
- 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)
- Geometry: Congruence (G-CO)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- 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)
- Geometry: Similarity, Right Triangles, and Trigonometry (G-SRT)
- Geometry: Geometric Measurement and Dimension (G-GMD)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Conditional Probability and the Rules of Probability (S-CP)
- 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)
- Functions: Trigonometric Functions (F-TF)
- Geometry: Congruence (G-CO)
- 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)
- Statistics and Probability: Interpreting Categorical and Quantitative Data (S-ID)
- Statistics and Probability: Making Inferences and Justifying Conclusions (S-IC)
- 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: Conditional Probability and the Rules of Probability (S-CP)
- Statistics and Probability: Using Probability to Make Decisions (S-MD)
Mississippi Math
Compacted Mathematics Grade 8 (with Algebra I): Number and Quantity: The Real Number System (N-RN)
Use properties of rational and irrational numbers
N-RN.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)