Algebra 1 Quiz Show Game Linear Functions, Notation, and Arithmetic Sequences in PowerPoint Presentation
This Quiz Show game, Jeopardy Style, is a great way to review a chapter. There are 25 questions and a scoreboard so you don’t have to write the score on a side board. Each page has the point value!
Function Notation (with Piecewise Functions)
F.BF.3, F.IF.1, F.IF.2, F.IF.7b
F.BF.3, F.IF.1, F.IF.2, F.IF.7b
Comparing Linear and Nonlinear Functions
F.BF.2, F.IF.3, F.LE.2
This Review lesson applies to the Common Core Standard:
Grade 8 » Functions 8.F.3
Define, evaluate, and compare functions.
3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.
High School: Functions » Building Functions F.BF.2, F.BF.3
Build a function that models a relationship between two quantities.
2. Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
Build new functions from existing functions.
3. Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
High School: Functions » Interpreting Functions F.IF.1, F.IF.2, F.IF.3, F.IF.7b
Understand the concept of a function and use function notation.
1. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
3. Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.
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.
b. Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.
High School: Functions » Linear, Quadratic, & Exponential Models F.LE.1b, F.LE.2
Construct and compare linear, quadratic, and exponential models and solve problems.
1. Distinguish between situations that can be modeled with linear functions and with exponential functions.
b. Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
2. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
The presentation has 53 slides. Use as many or as few of the problems to help your students learn each concept. For more PowerPoint lessons & materials visit Preston PowerPoints
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