12th Grade - Mathematics

Teacher: Grace
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Section – 1 Number and Quantity

0 Introduction 01:01

1 Extend the properties of exponents to rational exponents 00:00

2 Operate properties of rational and irrational numbers 00:00

3 Reason quantitatively and use units to solve problems 00:00

4 Perform arithmetic operations with complex Numbers 00:00

5 Represent complex numbers and their operations on the complex plane 00:00

6 Operate complex numbers in polynomial identities and equations 00:00

7 Represent and model with vector quantities 00:00

8 Performing operations on vectors 00:00

9 Perform operations on matrices and use matrices in applications 00:00

Section – 2 Algebra

10 Interpret the structure of expressions 00:00

11 Write expressions in equivalent forms to solve problems 00:00

12 Perform arithmetic operations on polynomials 00:00

13 Understand the relationship between zeros and factors of polynomials 00:00

14 Use polynomial identities to solve problems 00:00

15 Rewrite rational expressions 00:00

16 Create equations that describe numbers or relationships 00:00

17 Understand solving equations as a process of reasoning and explain the reasoning 00:00

18 Solve equations and inequalities in one variable 00:00

19 Solve systems of equations 00:00

20 Represent and solve equations and inequalities graphically 00:00

Section – 3 Functions

21 Construct and compare linear, quadratic, and exponential models and solve problems 00:00

22 Analyze functions using different representations 00:00

23 Build a function that models a relationship between two quantities 00:00

24 Build new functions from existing functions 00:00

25 Logarithmic functions 00:00

26 Properties of logarithms 00:00

27 Logarithmic and exponential equations 00:00

28 Extend the domain of trigonometric functions using the unit circle 00:00

29 Model periodic phenomena with trigonometric functions 00:00

30 Prove and apply trigonometric identities 00:00

Section – 4 Modeling

31 Define and importance of modeling 00:00

32 Descriptive modeling 00:00

33 Analytic modeling 00:00

Section – 5 Geometry

34 Experiment with transformations in the plane 00:00

35 Understand congruence in terms of rigid motions 00:00

36 Prove geometric theorems 00:00

37 Make geometric constructions 00:00

38 Understand similarity in terms of similarity transformations 00:00

39 Prove theorems involving similarity 00:00

40 Define trigonometric ratios and solve problems involving right triangles 00:00

41 Apply trigonometry to general triangles 00:00

42 Understand and apply theorems about circles 00:00

43 Find arc lengths and areas of sectors of circles 00:00

44 Translate between the geometric description and the equation for a conic section 00:00

45 Use coordinates to prove simple geometric theorems algebraically 00:00

46 Explain volume formulas and use them to solve problems 00:00

47 Visualize relationships between two-dimensional and three-dimensional objects 00:00

48 Apply geometric concepts in modeling situations 00:00

Section – 6 Statistics and Probability

49 Summarize, represent, and interpret data on a measurement variable 00:00

50 Summarize, represent, and interpret data on two categorical and quantitative variables 00:00

51 Interpret linear models 00:00

52 Understand and evaluate random processes underlying statistical experiments 00:00

53 Make Inferences and Justifying Conclusions 00:00

54 Understand independence and conditional probability and apply to interpret data 00:00

55 Using rules to compute probabilities of compound events in a uniform probability model 00:00

56 Calculate expected values and use them to solve problems 00:00

57 Use probability to evaluate outcomes of decisions 00:00

Section – 7 Contemporary Mathematics

58 Discrete Mathematics 00:00

59 Understand and apply vertex-edge graph topics 00:00

This course broadens students understanding of mathematics, including for those wishing to proceed to any one of a variety of university programs
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