LiveLesson Recordings
You may find here links to all the weekly group LiveLesson recordings for PreCalculus A. Note, to access them, you will need to be logged in to your Pearson Software at connexus.com.
08/26 - Introduction - LiveLesson format, procedures, and set up; Desmos; Weebly; Adding, subtracting, multiplying and dividing complex numbers.
09/02 - Functions - We learned to determine the domain of a rational function, as well as interval and set builder notation.
09/09 - Inverse Functions - We learned what inverse functions are, how to find them, and how to prove functions are inverses of each other.
09/16 - In this LiveLesson we multiplied two linear functions, found inverse functions, found the product of two linear functions, found the inverse of a quadratic function by completing the square and restricting the domain on the original function, and proved two functions to be inverses.
09/23 - In this LiveLesson we learned how to perform transformations on functions. Topics included completing the square to change a quadratic function to a form in which we might recognize the transformations being applied to the parent function y = x. We then introduced the parent functions.
09/30 - In this LiveLesson we carefully defined and explored exponential functions and then used that to carefully define and explore logarithmic functions. We graphed both functions and converted between exponential and logarithmic functions.
10/14 - In this LiveLesson we examined what a zero of a function is. We reviewed factoring quadratic equations, and learned to use synthetic subsitution to evaluate f(c) for a polynomial function. We then learned the intermediate value theorem and how technology calculates zeros of functions. Finally, we learned the rational roots theorem and used it to find the zeros of a third order function.
10/28 - In this LiveLesson we examined what an exponential function is, what a log function is and graphed both, comparing both and converting between the two. We then explained the product, quotient and power rules for logarithms in terms of the corresponding power rules for exponents.
11/4 - In this LiveLesson we reviewed the product and power rules for logarithms. We proved the log of a product is a sum of logs. We used logarithm rules to solve logarithm equations. We also solved an exponential equation using y-substitution.
11/11 - In this LiveLesson we reviewed and practice how to complete the square. This skill is paramount in this unit, as it is used to transform polynomial equations into forms that may be interpreted. We then presented the formula for a parabola and it's parts.
11/18 - In this LiveLesson we explored the definition of conic sections in general. We then examined the standard formulas for the conic sections and what they tell us. Finally, we converted a conic section equation to it's standard form and used it to graph the function and identify its important parts.
12/2 - In this LiveLesson we used Desmos to fit a parabola to a picture of the St Louis Arch. We then explored what happens when the distance to the focus is halved and doubled. Finally, we explored recursive and literal or explicit definitions for some sequences.
12/16 - In this LiveLesson we explored Geometric Sequences and Series. We discovered the formula for the nth term of the sequence, the Sigma notation formula, the formula for a finite sum, and the formula for an infinite sum.
1/6 - In this LiveLesson we reviewed the formulas for arithmetic series and geometric series. We then discussed the idea of an infinite series having a finite sum and derived the formula for the sum of an infinite Geometric Series.
09/02 - Functions - We learned to determine the domain of a rational function, as well as interval and set builder notation.
09/09 - Inverse Functions - We learned what inverse functions are, how to find them, and how to prove functions are inverses of each other.
09/16 - In this LiveLesson we multiplied two linear functions, found inverse functions, found the product of two linear functions, found the inverse of a quadratic function by completing the square and restricting the domain on the original function, and proved two functions to be inverses.
09/23 - In this LiveLesson we learned how to perform transformations on functions. Topics included completing the square to change a quadratic function to a form in which we might recognize the transformations being applied to the parent function y = x. We then introduced the parent functions.
09/30 - In this LiveLesson we carefully defined and explored exponential functions and then used that to carefully define and explore logarithmic functions. We graphed both functions and converted between exponential and logarithmic functions.
10/14 - In this LiveLesson we examined what a zero of a function is. We reviewed factoring quadratic equations, and learned to use synthetic subsitution to evaluate f(c) for a polynomial function. We then learned the intermediate value theorem and how technology calculates zeros of functions. Finally, we learned the rational roots theorem and used it to find the zeros of a third order function.
10/28 - In this LiveLesson we examined what an exponential function is, what a log function is and graphed both, comparing both and converting between the two. We then explained the product, quotient and power rules for logarithms in terms of the corresponding power rules for exponents.
11/4 - In this LiveLesson we reviewed the product and power rules for logarithms. We proved the log of a product is a sum of logs. We used logarithm rules to solve logarithm equations. We also solved an exponential equation using y-substitution.
11/11 - In this LiveLesson we reviewed and practice how to complete the square. This skill is paramount in this unit, as it is used to transform polynomial equations into forms that may be interpreted. We then presented the formula for a parabola and it's parts.
11/18 - In this LiveLesson we explored the definition of conic sections in general. We then examined the standard formulas for the conic sections and what they tell us. Finally, we converted a conic section equation to it's standard form and used it to graph the function and identify its important parts.
12/2 - In this LiveLesson we used Desmos to fit a parabola to a picture of the St Louis Arch. We then explored what happens when the distance to the focus is halved and doubled. Finally, we explored recursive and literal or explicit definitions for some sequences.
12/16 - In this LiveLesson we explored Geometric Sequences and Series. We discovered the formula for the nth term of the sequence, the Sigma notation formula, the formula for a finite sum, and the formula for an infinite sum.
1/6 - In this LiveLesson we reviewed the formulas for arithmetic series and geometric series. We then discussed the idea of an infinite series having a finite sum and derived the formula for the sum of an infinite Geometric Series.