Sabrina Rainwater

Already included: every lesson needed for a complete algebra 2 or algebra 2 honors course. Designed for homeschool use with recorded videos explaining every slide, on every slide! Right now, only the lessons with their videos and guided notes are included, but I am adding practice problem sets and assessments and study guides for every unit. I have taught Algebra 2 honors for many years and these lessons are adapted from proven lessons used many times with students. Most lessons take 45-50 mi

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 everything dealing with polynomials for Algebra 2. Specifically (1) spotting end behavior from the degree and leading coefficient, (2) graphing the polynomial from its zeros and end behavior, (3) adding, subtracting, and multiplying polynomials, (4) factoring special polynomials from patterns, (5) binomial expansion, (6) dividing polynomials, and (7) polynomial theorems such as the rational root theorem, the factor theorem, and the remainder theorem. This is adapted from the p

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 covers everything related to rational functions that Algebra 2 and Algebra 2 honors students need to learn. (1) simplifying, multiplying, and dividing rational expression(2) adding and subtracting rational expressions(3) solving rational equations(4) graphing reciprocal functions(5) graphing rational functions(6) (honors only) graphing rational functions with oblique asymptotes and holesThis is adapted from the rationals unit I have used many times with my own students. I generally pl

This is a double length lesson on graphing rational functions, with explanations recorded on-screen, on every slide. I created it for anyone to use independently, at your own pace.  It is perfect for homeschool learners, flipped classrooms, and sub-plans.We start off focusing on independent key features: how to find the vertical asymptotes or holes, how to find the horizontal asymptote or other end behavior. Then we add points near the vertical asymptotes and put it all together in graphs. Thi

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 is a double lesson on polynomial theorems, specifically the remainder theorem, the factor theorem, the conjugate factors theorems, and the rational roots theorem. I include 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 noticing that the remainder when dividing by (x-2) is the same as when we plug in 2 to the equation, and we generalize this to the remainder the

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 full lesson extending the graphing of rational functions to include oblique asymptotes and holes in the graph, with explanations recorded on-screen, on every slide. I created it for anyone to use independently, at your own pace.  It is perfect for homeschool learners, flipped classrooms, and sub-plans.Using synthetic or long division, we find the oblique asymptote when the numerator degree is only one more than the denominator degree, and use the oblique asymptote to help guide our gra

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 full lesson on graphing reciprocal functions with explanations recorded on-screen, on every slide. I created it for anyone to use independently, at your own pace.  It is perfect for homeschool learners, flipped classrooms, and sub-plans.We start off by graphing the parent reciprocal function y=1/x then transform it to graph any reciprocal function, exploring and defining asymptotes and the effect of the transformations on the asymptotes and the graph. Then we go the other way around a

This is a full lesson on solving rational equations, with explanations recorded on-screen, on every slide. I created it for anyone to use independently, at your own pace.  It is perfect for homeschool learners, flipped classrooms, and sub-plans.We start with simple rational equations, getting rid of all the denominators to make it easier to solve, checking for extraneous solutions that can be introduced when multiplying, moving on to more complicated problems requiring factoring. Also included