Honors NC Math 2 Scope and Sequence A/B Day High School

Transcription

1 Quarter 1 Week of Inspirational Math - Incorporate into first 5 days of instruction. # Days: 5 Unit 1: Geometric Transformations Understand the concept of a function to include geometric transformations and use function notation. Experiment with transformations in the plane. Understand similarity in terms of similarity transformations. NC.M2.F-IF.1 NC.M2.F-IF.2 NC.M2.G-CO.2 NC.M2.G-CO.3 NC.M2.G-CO.4 NC.M2.G-CO.5 NC.M2.G-CO.6 NC.M2.G-SRT.1a NC.M2.G-SRT.1b NC.M2.G-SRT.1c NC.M2.G-SRT.1d SMPs: ALL # Days: 8 Quarter: 10 Quarter 1/2

2 Unit 2: Quadratic Functions Use properties of rational and irrational numbers. Define complex numbers. Interpret the structure of quadratic expressions. Write quadratic expression in equivalent form by completing the square. Perform the operations of addition, subtraction, and multiplying polynomials. Understand the relationships between zeros and factors of quadratic polynomials. Create quadratic equations that describe numbers or relationships. Understand solving quadratic equations as a process of reasoning and explain the reasoning. Solve quadratic equations in one variable by the quadratic formula over the set of complex numbers. Solve systems of linear and quadratic equations. Interpet quadratic functions that arise in applications in terms of the context. Analyze quadratic functions using different representations. Build a quadratic function that models a relationship between two quantities. Build new functions from existing parent quadratic functions. NC.M2.N-RN.3 NC.M2.A-SSE.1a NC.M2.A-SSE.3 NC.M2.A-CED.2 NC.M2.A-REI.1 NC.M2.A-REI.4b NC.M2.F-IF.4 NC.M2.F-IF.8a NC.M2.F-BF.1 NC.M2.N-CN.1 NC.M2.A-SSE.1b NC.M2.A-APR.1 NC.M2.A-CED.1 NC.M2.A-CED.3 NC.M2.A-REI.4a NC.M2.A-REI.7 NC.M2.F-IF.7 NC.M2.F-IF.9 NC.M2.F-BF.3 # Days: 13 Quarter 1: 10 Quarter 2: 5

3 Unit 3: Radical and Rational Functions Quarter 2/3 Extend the properties of exponents to rational exponents Interpret the structure of square root and inverse variation expressions. Create square root and inverse variation equations that describe numbers or relationships. Understand solving square root and inverse variation equations as a process of reasoning and explain the reasoning. Represent and solve square root and inverse variation equations graphically. Interpret square root and inverse variation functions that arise in applications in terms of the context. Analyze square root and inverse variation functions using different representations. Build a square root and inverse variation function that models a relationship between two quantities. Build new square root and inverse variation function from an existing parent function. NC.M2.N-RN.1 NC.M2.N-RN.2 NC.M2.A-SSE.1a NC.M2.A-SSE.1b NC.M2.A-CED.1 NC.M2.A-CED.2 NC.M2.A-CED.3 NC.M2.A-REI.1 NC.M2.A-REI.2 NC.M2.A-REI.11 NC.M2.F-IF.4 NC.M2.F-IF.7 NC.M2.F-IF.9 NC.M2.F-BF.1 NC.M2.F-BF.3 SMPs: ALL # Days: 15 Review/Assessment/Extensions # Days: 5 Quarter 2: 15 Quarter 3: 5

4 Quarter 3 Unit 4: Congruence and Similarity Understand congruence in terms of rigid motions. Prove geometric theorems. Understand similarity in terms of similarity transformations. Prove theorems involving similarity. NC.M2.G-CO.6 NC.M2.G-CO.7 NC.M2.G-CO.8 NC.M2.G-CO.9 NC.M2.G-CO.10 NC.M2.G-SRT.1b NC.M2.G-SRT.1c NC.M2.G-SRT.1d NC.M2.G-SRT.2 NC.M2.G-SRT.3 NC.M2.G-SRT.4 SMPs: ALL # Days: 8 Quarter: 10

5 Quarter 3/4 Unit 5: Trigonometry Interpret the structure of right triangle trigonometric expressions. Create right triangle trigonometric equations that describe numbers or relationships. Define trigonometric ratios and solve problems involving right triangles. NC.M2.A-SSE.1a NC.M2.A-CED.1 NC.M2.G-SRT.6 NC.M2.G-SRT.8 NC.M2.G-SRT.12 SMPs: ALL # Days: 8 Quarter 3: 8 Quarter 4: 2

6 Quarter 4 Unit 6: Probability Understand and evaluate random processes underlying statistical experiments. Understand independence and conditional probability and use them to interpret data. Use the rule of probability to compute probabilities of compound events in a uniform probability model. NC.M2.S-IC.2 NC.M2.S-CP.1 NC.M2.S-CP.3a NC.M2.S-CP.3b NC.M2.S-CP.4 NC.M2.S-CP.5 NC.M2.S-CP.6 NC.M2.S-CP.7 NC.M2.S-CP.8 SMPs: ALL # Days: 13 Quarter: 15 Exam Review/Field Test/ Teacher-made Exam #Days: 5 Quarter: 5

7 Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 5. Use appropriate tools strategically. 2. Reason abstractly and quantitatively. 6. Attend to precision. 3. Construct viable arguments and critique reasoning of others. 7. Look for and make use of structure. 4. Model with mathematics 8. Look for and express regularity in repeated reasoning. Formative & summative assessments should be embedded throughout each quarter.