Algebra 1 Comparing Linear, Exponential, and Quadratic Functions in a PowerPoint Presentation
This slideshow lesson is very animated with a flow-through technique. I developed the lesson for my Algebra 1 class, but it can also be used for upper level class reviews. This lesson teaches how to identify linear, quadratic, and exponential functions using graphs or tables, compare graphs of linear, quadratic, and exponential functions using graphs or tables, and solve a real-life problem by using functions to find which type of function a bowler would be and how much it would cost to bowl 11 games.
The presentation has 44 slides with LOTS of whiteboard practice. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints
Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.
This lesson applies to the Common Core Standard:
High School: Functions » Interpreting Functions F.IF.4, F.IF.6, F.IF.7a
Interpret functions that arise in applications in terms of the context.
4. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.
6. Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.
Analyze functions using different representations.
7. Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.
a. Graph linear and quadratic functions and show intercepts, maxima, and minima.
High School: Functions » Linear, Quadratic, & Exponential Models F.LE.3
Construct and compare linear, quadratic, and exponential models and solve problems.
3. Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
Please note that these PowerPoints are NOT EDITABLE
. They WILL NOT
work with Google Slides. You will need the PowerPoint software.
If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.
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*This lesson contains 23 problems. Each problem in this lesson uses several pages in order to achieve the animated flow-through technique.