CAS stands for Computer Algebra System. Using a CAS system on a calculator means that the calculator will be able to perform symbolic manipulation of variables without a value being assigned to those variables. The comparison chart below gives some examples of how answers might look different on TI-Nspire CAS as opposed to TI-Nspire and also some of the additional functionality of TI-Nspire CAS. Here are some of examples of the types.
Step-by-step calculations
TI-Nspire handheld |
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TI-Nspire CAS handheld |
 Error displays without a defined variable to continue the problem
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 Show each problem-solving step without making arithmetric errors
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Arithmetic calculations
TI-Nspire handheld
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TI-Nspire CAS handheld |
 Simplified expressions are approximated in decimal form
Mathematical constants (Π, e) and variables (x, y) provide approximate numeric answers
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 Simplified expressions keep their mathematical structure
Mathematical constants and variables are recognized and simplified symbolically
Simplify trigonometric identities
Will give exact values for special angles on the unit circle
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Algebraic calculations
TI-Nspire handheld
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TI-Nspire CAS handheld |
 Find approximate values for solution of an equation
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 Exact and approximate values for solutions of an equation
Polymonials are factored and expanded
Complex solutions and zeros can be found
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Calculus calculations
TI-Nspire handheld |
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TI-Nspire CAS handheld |
 Find numerical approximations of the derivative at a point
Find numerical approximations of the integral value for a given interval
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 Calculate limits of an expression (including right-hand and left-hand limits)
Find derivatives of function as well as find a derivative at a point
Find values for definite and indefinite integrals
Uses correct notion for derivatives and integrals as students would see in a textbook or write on paper
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CAS can help students develop algebraic patterns. In these examples, CAS is used as a learning tool and can help students discover the algebra themselves. This allows for a solid conceptual understanding and can provide a basis for learning of by-hand symbolic manipulation.
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