Pre Cal/Adv Alg & Trig Syllabus

Week

Lesson Focus

Weekly Objectives

TN Standards

Assessments

Additional Notes

 

1

Classify real numbers and order real numbers that include transcendental expressions, including roots and fractions of pi and e.

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

Classify real numbers and order real numbers that include transcendental expressions, including roots and fractions of pi and e.

Demonstrate understanding of the inverse relationship between exponents and logarithms.

Solve problems containing logarithms and exponents.

Change an equation from logarithmic to exponential form and back.

Solve exponential equations.

Solve logarithmic equations.

Prove basic properties of a logarithm using properties of its inverse and apply those properties to solve problems.

Find the inverse of an exponential or logarithmic function.

P.N.NE.A.3

P.N.NE.A.2

Teacher Observation

Homework

Quiz

 

 

2

Use laws of exponents and logarithms to expand or collect terms in expressions: Simplify expressions or modify them in order to analyze them or compare them.

 

Analyze qualities of exponential, polynomial, logarithmic, trigonometric, and rational functions and solve real world problems that can be modeled by these functions.

Use the laws of exponents and logarithms to expand or collect terms in expressions: simply expressions or modify them in order to analyze them or compare them.

Compare exponential and logarithmic expressions.

 

 

Identify or analyze the following properties of exponential, logarithmic, and logistic function: Domain, Range, Continuity, Increasing/Decreasing, End Behavior, Symmetry, Boundedness, Extrema, Asymptotes, Intercepts, Holes.

Solve real-world problems that can be modeled using quadratic, exponential, or logarithmic functions.

Determine what functions should be used to model a real-world situation.

Apply the appropriate function to a real-world situation and find its solution.

P.N.NE.A.1

 

 

P.F.IF.A.2

Teacher Observation

Homework

Quiz

 

 

3

Complete objectives, Review, and TEST

Complete objectives, Review, and TEST

 

Teacher Observation

Homework

Quiz

TEST

 

 

4

Use matrices to represent and manipulate data.

 

 

Multiply matrices by scalars to produce new matrices.

 

Add, subtract, and multiply matrices of appropriate dimensions.

 

 

 

Understand that unlike multiplication of numbers, matrix multiplication of square matrices is not commutative, but still satisfies the associative and distributive properties.

Use matrices to represent and manipulate data. For example, use to represent payoffs or incidence relationships in a network.

 

Multiply matrices by scalars to produce new matrices, e.g., as when all the payoffs in a game are doubled.

 

Determine if matrices may be added, subtracted, or multiplied using their dimensions.

Add, subtract, and multiply matrices of appropriate dimensions.

 

Show that matrix multiplication is not a commutative operation, but still satisfies the associative and distributive properties.

P.N.VM.C.7

 

P.N.VM.C.8

 

P.N.VM.C.9

 

P.N.VM.C.10

Teacher Observation

Homework

Quiz

 

 

5

Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to roll of 0 and 1 in the real numbers. The determinant of a square matrix is non-zero if and only if the matrix has an inverse.

 

 

 

Show the zero and identity matrices play a role in matrix addition and multiplication similar to the roll of 0 and 1 in the real numbers.

Explain how the determinant of a square matrix is non-zero if and only if the matrix has a multiplicative inverse.

 

 

 

 

 

 

P.N.VM.C.11

 

 

 

 

 

Teacher Observation

Homework

Quiz

 

 

 

6

Complete standards, objectives, review and TEST.

Complete standards, objectives, review and TEST.

 

Teacher Observation

Homework

TEST

 

 

7

Work with 2x2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area.

Work with 2x2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area.

P.N.VM.C.13

Teacher Observation

Homework

Quiz

 

 

8

Find the inverse of a matrix if it exists and use it to solve systems of linear equations.

Find the inverse of a matrix if it exists and use it to solve systems of linear equations.

Use technology when solving systems of equations represented by matrices of dimensions 3x3 or greater.

 

Teacher Observation

Homework

Quiz

 

 

9

Complete standards and objectives, Review, and TEST

 

 

Teacher Observation

Homework

TEST