This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.
N: : Number and Quantity
N.CN: : Complex Number System
(Framing Text): : Perform arithmetic operations with complex numbers.
N.CN.3: : Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.
Points in the Complex Plane
Identify the imaginary and real coordinates of a point in the complex plane. Drag the point in the plane and investigate how the coordinates change in response.
5 Minute Preview
(Framing Text): : Represent complex numbers and their operations on the complex plane.
N.CN.4: : Represent complex numbers on the complex plane in rectangular form and polar form (including real and imaginary numbers), and explain why the rectangular form of a given complex number represents the same number.
Points in the Complex Plane
Identify the imaginary and real coordinates of a point in the complex plane. Drag the point in the plane and investigate how the coordinates change in response.
5 Minute Preview
(Framing Text): : Use complex numbers in polynomial identities and equations.
N.CN.10: : Multiply complex numbers in polar form and use DeMoivre’s Theorem to find roots of complex numbers.
Points in the Complex Plane
Identify the imaginary and real coordinates of a point in the complex plane. Drag the point in the plane and investigate how the coordinates change in response.
5 Minute Preview
(Framing Text): : Analyze functions using different representations.
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.
F.IF.7.d: : Graph rational functions, identifying zeros, asymptotes, and point discontinuities when suitable factorizations are available, and showing end behavior.
General Form of a Rational Function
Compare the equation of a rational function to its graph. Multiply or divide the numerator and denominator by linear factors and explore how the graph changes in response.
5 Minute Preview
Compare the graph of a rational function to its equation. Vary the terms of the equation and explore how the graph is translated and stretched as a result. Examine the domain on a number line and compare it to the graph of the equation.
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(Framing Text): : Build new functions from existing functions.
F.BF.4: : Find inverse functions.
F.BF.4.b: : Verify by composition that one function is the inverse of another.
Logarithmic Functions
Compare the equation of a logarithmic function to its graph. Change the base of the logarithmic function and examine how the graph changes in response. Use the line y = x to compare the associated exponential function.
5 Minute Preview
F.BF.4.c: : Read values of an inverse function from a graph or a table, given that the function has an inverse.
Logarithmic Functions
Compare the equation of a logarithmic function to its graph. Change the base of the logarithmic function and examine how the graph changes in response. Use the line y = x to compare the associated exponential function.
5 Minute Preview
F.BF.5: : Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents.
Logarithmic Functions
Compare the equation of a logarithmic function to its graph. Change the base of the logarithmic function and examine how the graph changes in response. Use the line y = x to compare the associated exponential function.
5 Minute Preview
Choose the correct steps to evaluate a trigonometric expression using sum and difference identities. Use step-by-step feedback to diagnose incorrect steps.
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S.CP: : Conditional Probability and the Rules of Probability
(Framing Text): : Use the rules of probability to compute probabilities of compound events in a uniform probability model.
S.CP.9: : Use permutations and combinations to compute probabilities of compound events and solve problems.
Binomial Probabilities
Find the probability of a number of successes or failures in a binomial experiment using a tree diagram, a bar graph, and direct calculation.
5 Minute Preview
Experiment with permutations and combinations of a number of letters represented by letter tiles selected at random from a box. Count the permutations and combinations using a dynamic tree diagram, a dynamic list of permutations, and a dynamic computation by the counting principle.
5 Minute Preview
Students assume the role of a scientist trying to solve a real world problem. They use scientific practices to collect and analyze data, and form and test a hypothesis as they solve the problems.
