Flipped Math
Graphing Polynomial Functions
Take a look in the window. Pupils watch a presentation to discover how to graph a polynomial using a graphing calculator and using the window to find the extrema. Scholars use their knowledge from previous lessons to gain a rough idea of...
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Sketching Polynomial Functions
Provide a sketch of the suspect. Scholars see how to use the key aspects they know about polynomials to create a sketch of the graph. Learners factor to calculate the zeros by factoring, find the end behavior, and determine the...
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End Behavior
Determine which way to go. Pupils learn how the leading term determines the end behavior of a polynomial function. They see how to use the end behavior of a polynomial to identify the graph of the function before practicing their skills...
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Remainder Theorem
Don't divide! Pupils view three examples relating the remainder of a polynomial division and the polynomial function evaluated at a related value. Learners notice how to find a missing coefficient in a polynomial given the remainder of a...
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Zeroes of Polynomials
Zero in to find the correct answer. Scholars find out how to solve a polynomial equation by factoring to find the zeroes. Learners use their knowledge of factoring polynomials and solving linear equations to find all of the solutions and...
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Dividing Polynomials
Divide and conquer factoring. Learners see how dividing polynomials is similar to long division of numbers. Pupils learn how to use long division of polynomials to help find factors of higher degree polynomials. They then use their...
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Advanced Factoring
Perfect the method for factoring. Learners view a video that shows shortcuts to grouping when presented with a difference of squares or when the leading coefficient is one. Pupils learn that factoring by grouping is helpful when working...
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Multiply and Factor Polynomials
Gather together as a group for the best results. Pupils watch a video on how to use the distributive property to multiply polynomials. Scholars continue to watch as the presentation shows how to factor trinomials by grouping. Finally,...
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Modeling with Quadratics
Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...
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Quadratics in Standard Form
Get ready to set the standard! Pupils watch a video on how to graph a parabola from a quadratic in standard form without converting the form. Scholars learn how to find the axis of symmetry from the equation and from there the vertex....
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Quadratics in Vertex Form
It looks different, but yet the same. Scholars view a video that introduces them to the vertex form for a quadratic equation. Pupils realize that though the equation looks different, its graph is still a parabola, and the key features...
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Intro to Quadratics
Quadratics need no introduction, but here is one anyway. Learners watch a video that introduces them to quadratics. The pupils learn what a quadratic is, its key features, and how to sketch a graph of the parabola it defines. Then, they...
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Multi-Step Factoring
Bring all the factoring together. Pupils view a video presentation that shows how to combine all the factoring techniques from Unit 9 together to factor more complex polynomials. Learners practice with three items within the presentation...
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Factor Trinomials by Grouping
Help! The leading coefficient is not one. Learners view a video showing a technique to factor trinomials when the leading coefficient is not one. Pupils try a few examples including solving equations by factoring and check their answers...
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Factor Trinomials
Is it possible to factor out more? Scholars view a video presentation on factoring second degree trinomials. They learn about the magic X method to keep track of the constant factors. To finish, scholars use the learned method while...
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Greatest Common Factor
Break it down to solve it. Learners watch a video on how to factor out the greatest common factor for algebraic expressions. They see how to use factoring and the zero product property to solve polynomial equation and practice their...
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Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
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Piecewise Functions
Break it up into pieces to solve the problem. Individuals watch a video on how to graph and determine the equation and values of piecewise functions. Viewers then work several exercises to practice evaluating a piecewise function at...
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Graphs of Functions
Create a graphical description. Pupils watch a video presentation starting with vocabulary on properties of a graph of a function and then use the vocabulary to find key features of graphs of a function. Scholars use three graphs in the...
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Functions, Domain and Range
Take a deeper dive into the notation of a function. The video presentation uses grocery store prices as an example to explain the concept of a function. Pupils determine whether mappings are functions or not and find the domain and...
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Linear vs. Exponential
Linear or exponential?. Learners watch an informative video comparing situations that may be modeled by either a linear or exponential relationship. Pupils determine the type of relationship and then create a function that models the...
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Exponential Decay
The values keep getting smaller—quickly! Pupils watch a video that contrasts exponential decay with exponential growth from the first lesson in the unit. Learners identify exponential functions that are decaying and create graphs of...
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Exponential Growth
They grow by leaps and bounds. Learners watch a quick review on function notation as they prepare to learn more about exponential growth. Using their knowledge from sequences, pupils find out whether a function is linear or exponential,...
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Recursive Formulas
Write formulas that depend upon previous terms. Individuals watch a video that explains how to create a recursive formula based on a sequence of numbers. Learners find out how to determine whether a sequence is geometric or arithmetic...