Applet Standards
The following are possible standards that can be met using this applet:
9th Grade
Unit 3: Linear and Exponential Functions
MCC9-12.F.IF.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 or minimums; symmetries; end behavior. (Focus on linear and exponential functions)
MCC9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x)+k, kf(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. (Focus on vertical translations of graphs of linear and exponential functions. Relate the vertical translation of a linear function to its y-intercept)
10th Grade
Unit 5: Quadratic Functions
MCC9-12.F.IF.4 (see above) With the addition of quadratic functions.
MCC9-12.F.BF.3 (see above) With the addition of quadratic functions.
MCC9-12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
MCC9-12.F.IF.7a Graph quadratic functions and show intercepts, maxima, and minima.
MCC9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
MCC9-12.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, and numerically in tables, or by verbal descriptions). (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
11th Grade
Unit 2: Polynomial Functions
MCC9-12.F.IF.7 (see above) For any function.
MCC9-12.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
As the reader can see, these standards build on each other as students progress through the various mathematics courses.
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
9th Grade
Unit 3: Linear and Exponential Functions
MCC9-12.F.IF.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 or minimums; symmetries; end behavior. (Focus on linear and exponential functions)
MCC9-12.F.BF.3 Identify the effect on the graph of replacing f(x) by f(x)+k, kf(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. (Focus on vertical translations of graphs of linear and exponential functions. Relate the vertical translation of a linear function to its y-intercept)
10th Grade
Unit 5: Quadratic Functions
MCC9-12.F.IF.4 (see above) With the addition of quadratic functions.
MCC9-12.F.BF.3 (see above) With the addition of quadratic functions.
MCC9-12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
MCC9-12.F.IF.7a Graph quadratic functions and show intercepts, maxima, and minima.
MCC9-12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
MCC9-12.F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, and numerically in tables, or by verbal descriptions). (Focus on quadratic functions; compare with linear and exponential functions studied in Coordinate Algebra)
11th Grade
Unit 2: Polynomial Functions
MCC9-12.F.IF.7 (see above) For any function.
MCC9-12.F.IF.7c Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
As the reader can see, these standards build on each other as students progress through the various mathematics courses.
Standards for Mathematical Practice
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.