Sabrina Rainwater

This unit covers all the algebra 2 quadratics topics, including: (1) factoring, (2) solving quadratic equations by factoring, graphing and tables, (3) graphing quadratic equations in vertex form, standard form, and factored form, (4) solving quadratic inequalities, (5) complex numbers, (6) completing the square, and (7) using the quadratic formula to solve quadratic equations. It is adapted from the quadratics unit I have used many times with my own students. I generally plan for this to be a

This unit covers the statistics and probability for Algebra 2 (1) basics and foundations of statistics (2) measures of center and the box plot (3) variance and standard deviation and interquartile range (4) z-scores and the z-chart (5) sets and two-way frequency tables (6) the addition rule of probability (7) sample spaces and counting, nPr permutations and nCr combinations (8) the multiplication rule (9) conditional probability It is adapted from the unit I have used many times with my own s

This unit covers the basics of trigonometry, generally taught near the end of an Algebra 2 course in preparation for the next year of Precalculus and Trigonometry. It starts with (1) circles, graphing them from equations and relating the equation to the Pythagorean Theorem. The we learn about (2) radians and how they measure angles and help with finding arc length. And we learn (3) the unit circle and using it to find sine and cosine and finally (4) graphing sine and cosine as periodic functi

This unit introduces the benefits of exponential functions with (1) half life and generalizes to a (2) general exponential model and uses exponents to compute (3) compound interest. We introduce (4) logarithms and go into properties of (5) exponents and (6) logarithms. We use exponents and logarithms to (7) solve problems and (8) figure out loan payments. And we conclude by (9) graphing exponents and logarithms. It is adapted from the unit I have used many times with my own students. I ge

This unit goes into depth about functions: (1) the basics of functions and what a function is, (2) linear functions, (3) composing functions, (4) transforming functions, (5) absolute value functions, (6) piecewise functions, and (7) inverse function. It is adapted from the unit I have used many times with my own students. I generally plan for this to be a 3 week unit, with 8 days of lessons and the other days for practice and assessment (not included). There are 7 lessons included and every s

Every lesson has guided notes at the end that you can print and work through as you go through the lessons. This unit covers all all the systems of equations sections for Algebra 2. It starts with (1) two variable linear systems, solving them with graphing, substitution, and elimination, and then generalizes to (2) three variable linear systems and (3) nonlinear systems and systems of linear inequalities. Finally, we explore (4) how to use matrices to solve systems of linear equations. It

This is a double lesson on graphing polynomial functions from their zeros, with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start of with considering what it means to be a zero of a function. The we use that information about the zeros, along with end behavior and one point to sketch a graph of the function. And vice versa, looking at a graph and determining the equation

This is a double lesson on graphing sine and cosine with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start off using the unit circle to figure out how sine is graphed and what period it has. We compare amplitude and midline to transformations, and use amplitude, period, and midline to determine the equation of various graphs and graph various equations. Then we do the sa

This is a double lesson on the unit circle with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. I assume no prior knowledge of the unit circle and start with angles in the standard position and labeling the quadrants. Then we use SOA-CAH-TOA on the triangle within the unit circle to see that sine = y and cosine = x, and to extend that from the Pythagorean Theorem to the Pythagor

This is a double lesson on complex numbers with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. After I do this lesson with my students, they generally think complex numbers are easy! We start off with defining i as the square root of negative one and learning how to add and subtract complex numbers. Since i squared equals -1, we can also multiply complex numbers. And by intr

This is a double lesson on graphing from all forms of quadratic equations with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start with graphing from vertex form, how to find the vertex from the equation, graph it, and use the coefficient "a" to determine other points on the graph so we can graph the complete graph. Once we are confident with that, we learn to find the vert

This is a double lesson on factoring quadratic expressions with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start with multiplying two binomials by FOILing or the area method and think about how to do that process in reverse to factor a quadratic. We learn how to factor simple quadratics (a=1) and then extend that to factoring out a common factor and factoring by grouping

This is a double lesson on how to use matrices to solve systems of equations with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start by learning how to write a system of equations as a matrix then use simplified Gaussian elimination to solve 2 variable and 3 variable systems of equations. It is adapted from a lesson I have used many times with my own students. The recordi

This is a double lesson on the linear functions in PowerPoint and including slide-by-slide video explanations. It covers slope, point-slope form, slope-intercept form, intercepts, standard form, and graphing all of this. This is adapted from a lesson I have used many times with my own students. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. The video recordings take about 50 minutes, but with pauses to work problems, I ex

This is a long lesson on two variable systems of linear equations with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start with solving systems by graphing then go into classifying systems as inconsistent vs consistent and independent vs dependent. We explore how to solve systems by substitution and elimination. It is adapted from a lesson I have used many times with my o

This is a double lesson on graphing exponential and logarithmic functions, with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. In this lesson we graph exponential and logarithmic functions from their asymptotes and select points, using the general shape of the graph. We explore how the graphs are related, specifically through transformations, horizontal reflections, inverse fu

This is a double lesson on annuities and loans, with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We start of the lesson by extending our knowledge of compound interest to present value annuities. Then we look at future value annuities and loans. We work problems with creating and using retirement annuities, mortgages, college loans and car loans, among others. It is adapted

This unit covers the basics and foundations that are needed for an Algebra 2 course. Specifically: (1) solving basic equations, (2a) solving literal equations for the indicated variable while leaving the others alone, (2b) solving inequalities and properties of inequalities vs properties of equalities, (3a) graphing from tables, and (3b) graphing inequalities. The lessons and unit are adapted from ones I have used many times with my own students. I general plan for this to be a quick 1 week

This is a full lesson on binomial expansion with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans.We start with creating Pascal's Triangle. We look at patterns in simple binomial expansion. With those patterns, we use Pascal's triangle to do binomial expansion. This is adapted from a lesson I have used many times with my own students. The recordings add up to about 25 minutes, a

This is a full lesson on factoring special polynomials, like differences of cubes, with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans.In this lesson, we learn how to recognize patterns and spot differences of squares and perfect squares, as well as sums and differences of cubes, and how to extend factor by grouping to some cubic polynomials. We learn how to create some Pythagore