TI-Nspire Activities &
Ideas 28 activities so far!!!
The
following are activities that I have developed for TI-Nspire
and TI-Nspire CAS. There is a brief explanation of
the file(s), the Nspire files to download, and any
accompanying files (like pdf’s) for the student or
teacher. Feel free to pass them along and please contact me with any
suggestions.
Completing the
Square Parabolas Algebra 1, Algebra 2, Precalculus |
This document is designed to either introduce or review how to use
"completing the square" to rewrite an equation of a parabola from
standard form into vertex form. Four different examples will be illustrated,
step-by-step. The graphs validate the work.
TI-Nspire File(s): Parabola_Graphing_Comp_the_Square.tns
Accompanying
file(s): NONE
Complex Numbers – An
Introduction to i, Adding, Subtracting, Multiplying,
and Powers of i
Algebra 2, Precalculus
This document assists the student in learning about the Imaginary Numbers
for the first time. Explanations are supplied and 15 examples/exercises are
illustrated for the student to do along with the document. I used this with
great success in Algebra 2.
TI-Nspire File(s): Complex_Numbers_Intro.tns
Accompanying
file(s): NONE
Given the Roots of a
Quadratic Equation, Find the Equation in Both Forms
Algebra 2
The student is given the solutions (roots, zeros) to a quadratic equation
and is asked to find the quadratic equation that has those solutions. The
equation must be stated in both forms: Standard Form and Vertex Form. Three
examples are illustrated completely followed by four exercises to be completed
by the student.
TI-Nspire File(s): Given_Roots_Find_Quad_Equation.tns
Accompanying
file(s): NONE
Hero’s Formula (aka
Heron’s Formula)
Trigonometry, Precalculus
This formula is used to calculate the area of any
triangle if given the lengths of the 3 sides. This very short document presents
both parts of the formula and illustrates how to use it with an example. Each
step is shown clearly. A great introduction to this topic.
TI-Nspire File(s): Heros_Formula.tns
Accompanying
file(s): NONE
The Law Of Cosines
Trigonometry, Precalculus
This document has 4 examples that clearly illustrate how to use the Law of
Cosines to solve triangles with different sets of data supplied. Each step is
clearly shown and a fifth example is supplied for the student to test his/her
understanding. A great first day assignment. In fact, I used this in place of
teaching the Law of Cosines this year! Two pdf
documents are included as accompanying files.
TI-Nspire File(s): Law_of_Cos.tns Accompanying
file(s): Law_of_Cosines_GIFT.pdf Page39AdvancedMathBook.pdf
The Law Of Sines & Find the Area of a Triangle Using the Sine
Ratio
Trigonometry, Precalculus
This document contains two examples. The first example illustrates how to
use the sine function to calculate the area of a triangle given certain
dimensions. The second example illustrates how to use the Law of Sines to solve a triangle given certain dimensions.
TI-Nspire File(s): Area_Law_of_Sines.tns
Accompanying
file(s): NONE
Maximize the Area of A
Rectangle Inscribed Under a Parabola
Calculus, Precalculus
This activity asks the student to find the rectangle with maximum area
under a given parabola. To assist the student in generating the correct equation,
there is an interactive graph that illustrates the many possible rectangles.
And the student can check to see if his/her equation is correct by graphing on
top of the data that is generated.
TI-Nspire File(s): Max_Area_of_Inscribed_Rectangle_in_Parabola.tns
Accompanying
file(s): NONE
MANUFACTURING A GALLON
CAN -- A MINIMIZATION PROBLEM Desk Top
Demonstration
Calculus, Precalculus
A metal can in the shape of a rectangular solid with a square base (top
and bottom) is to be manufactured at a minimum cost for materials. Your
responsibility is to find the dimensions of the can (to the nearest hundredth
of an inch) that minimizes the cost (to the nearest tenth of a penny). This has
an interactive graph/picture that shows all possible configurations for the can
and its costs.
TI-Nspire File(s): One_Gallon_Can_DeskTop.tns
Accompanying
file(s): NONE
LRAM_RRAM_MRAM -- A
Graphical Investigation
Calculus
This interactive activity is designed for the student to investigate how
area bounded by a curve and the x-axis can be approximated with areas of rectangles
using LRAM, RRAM, and MRAM. The student can change the function definition and
see the resulting change in areas. The student can change the x-coordinate of
the either endpoint of the interval. This uses only 4 rectangles.
TI-Nspire File(s): LRAM_RRAM_MRAM.tns Accompanying
file(s): NONE
LRAM_RRAM_MRAM --
Program
Calculus
This program approximates the area bounded by a curve and the x-axis over
a closed interval using LRAM, RRAM, MRAM. The student can decide the function,
the left endpoint, the right endpoint, and the number of subintervals.
TI-Nspire File(s): LRMRAM_Program.tns Accompanying
file(s): NONE
Investigating the
Graphs of Parabolas
Algebra 2, Precalculus
A graph of a quadratic equation will be shown. Also shown is the equation
of the parabola in vertex form: y = a*(x - h)^(2) + v. The user is able to
change any/all of the 3 parameters: a, h, v, and the graph will automatically
change to reflect those changes in parameters.
TI-Nspire File(s): Investigating_the_Graphs_of_Quadratic_Equations.tns
Accompanying
file(s): NONE
The Quadratic Formula
– Two Examples to Illustrate How to Use It
Algebra 1, Algebra 2, Precalculus
The student is slowly taken through how to solve a quadratic equation using
the Quadratic Equation. Each step is shown and clearly explained. This is good
to use as an introduction or to use as a review.
TI-Nspire File(s): Quadratic_Formula.tns Accompanying
file(s): NONE
Study Cards: Parabola
Equations
Algebra 2, Precalculus
A graph of a parabola will be shown. You are asked to find the equation of
the parabola in vertex form: y = a*(x - h)^(2) + v. Press enter on the double up arrow in the Ans section to see the answer. There are 19 different
graphs. Great practice to learn about translations.
TI-Nspire File(s): Study_Cards_Parabola_Equations.tns Accompanying
file(s): NONE
The Great Applied
Problem
Geometry, Trigomometry, Precalculus, Calculus
This is the Nspire version of my all time
favorite applied problem that can be used in Geometry, Trigonometry, or
Calculus. I have 3 different versions of this: Student (handheld), Teacher
(handheld), and a Dynamic Extension that is best used on a desktop.
TI-Nspire File(s): The_Great_Applied_Problem_STUDENT.tns The_Great _Applied_Problem_TEACHER.tns The_Great_Applied_Problem_DYNAMIC_Extension.tns Accompanying
file(s): NONE
Fractional Exponents
Exploration
Algebra 2, Precalculus
Interactive activity is designed for students to 'discover' what a fractional
exponent means by using the Calculator APP to explore expressions like 25 to the one-half power, or 64 to the
one-third power.
TI-Nspire File(s): Fractional_Exponents_Exploration.tns
Accompanying
file(s): NONE
Factoring Modules 1,
2, 3, 4, 5, 6, 7, 8
Algebra 1, Algebra 2, Precalculus
Students are shown how
to factor expressions using several different techniques, each module shows a different
technique. Module 1: GCF; Module
2: Sum and Difference of 2 Squares;
Module 3: Trinomials by Trial ‘n Success with leading coefficient 1; Module 4: Trinomials by Trial ‘n Success
with leading coefficient not 1;
Module 5: Sum of 2 Cubes;
Module 6: Difference of 2 Cubes;
Module 7: By Grouping (4 terms);
Module 8: Summary of previous 7 modules. Exercises are given and the correct
answers are supplied using the Q & A feature of Nspire.
TI-Nspire File(s): Factoring_1.tns Factoring_2.tns Factoring_3.tns Factoring_4.tns Factoring_5.tns Factoring_6.tns Factoring_7.tns Factoring_8.tns Accompanying file(s): Factoring_Gift_54_Problems.pdf
Maximize the Area of a
Basketball Key
Calculus
This acitivity
is designed for calculus students. Problem: you are given 100 feet of fence and
you are to enclose a figure that looks like a basketball key: consisting of a
rectangle with a semicircle attached to the top of the rectangle. Find the
dimensions of this shape that uses 100 feet of fence to enclose it and also has
the maximum area. Find that maximum area.
TI-Nspire File(s): Maximize_the_Area_of_a_Basketball_Key.tns ANS_KEY_Basketball_Key.tns
Accompanying file(s): Maximize_the_Area_of_a_Basketball_Key.pdf
Distance from a Point
to a Line Activity (CAS)
Geometry, Algebra 2, Precalculus,
Calculus
This activity is
designed for students to investigate how to calculate the distance from a point
to a line. Multiple representations are used: pencil and graph paper, graphing
calculator, CAS. Eventually the student will generate (derive) the Distance
From a Point to a Line formulas using CAS.
TI-Nspire File(s): Student_Distance_Point_to_a_Line.tns Teacher_Distance_Point_to_a_Line.tns
Accompanying file(s): Distance_Point_to_a_Line_ActivityCAS.pdf
Radical Expression
Investigation Modules 1 to 4 (CAS)
Algebra 1, Algebra 2, Precalculus
This activity is
designed to assist students in learning how to simplify radical expressions,
add, subtract, multiply, divide. Students will need the accompanying pdf.
TI-Nspire File(s): Radical_Investigation_Module_1.tns Radical_Investigation_Module_2.tns Radical_Investigation_Module_3.tns Radical_Investigation_Module_4.tns Accompanying
file(s): Radical_Investigation_Gift.pdf
Study Cards –
Trigonometry Unit Circle Values in Degrees and Radians
Trigonometry
This activity uses the
Notes Q & A feature to simulate electronic flash cards. Right now there are
the trig unit circle values in both radian and degree modes, either from 0 to 2
pi or 0 to 360 degrees. More will be added later.
TI-Nspire File(s): Degree_Study_Cards_Unit_Circle_sin_cos_tan.tns Radian_Study_Cards_Unit_Circle_sin_cos_tan.tns Radian_Study_Cards_Solve_Trig_Equations_sin_cos_tan.tns
Accompanying file(s): NONE
Study Cards – Basic
Graphs Given the graph, state the equation BG 1
Algebra 2, Precalculus
This activity uses the Notes Q & A feature to simulate
electronic flash cards. There are 18 Basic Graphs, each on its own “card”.
Students will be asked to state the equation that is graphed.
TI-Nspire File(s): Study_Cards_BG_1_Basic_Graphs_Equations.tns Accompanying file(s): NONE
Study Cards – Basic
Graphs Given the graph, state the equationBG 2
Algebra 2, Precalculus
This activity uses the Notes Q & A feature to simulate
electronic flash cards. This is very similar to BG_1 except that the graphs
have been translated. There are 17 Basic Graphs, each on its own “card”. Students
will be asked to state the equation that is graphed.
TI-Nspire File(s): Study_Cards_BG_2_Basic_Graphs_Equations.tns
Accompanying file(s): NONE
Synthetic Substitution
Examples
Algebra 2, Precalculus
This activity shows
students how to evaluate functions using synthetic substitution (by hand) and
then check the answer by using Nspire.
TI-Nspire File(s): Synthetic_Subst_examples.tns Accompanying file(s): NONE
Evaluate functions at
variable expressions
Algebra 2, Precalculus
This activity shows
students how to evaluate a quadratic function at expressions like (x + 3) and
at (– x).
TI-Nspire File(s): Evaluate_functions_at_variable_expressions.tns Accompanying file(s): NONE
Minimization
Application Problem by Graphing on Nspire
Precalculus
This activity supplies a
cost equation and the student is asked to find its minimum value graphically
and interpret the solution in words.
TI-Nspire
File(s): Minimization_application_problem_by_graphing.tns Accompanying file(s): NONE
Calculus Review of
s(t), v(t), and a(t)
AP Calculus
This activity asks
students to review the relationships among a position function, s(t), its
velocity function, v(t), and its acceleration function, a(t). Graphically and
analytically.
TI-Nspire File(s): Calculus_review_of_s(t)_v(t)_a(t).tns Accompanying file(s): NONE
Arithmetic
Progression: find the missing terms
Precalculus
This activity provides
two terms of an arithmetic progression (sequence) and asks the student to find
the 4 other terms.
TI-Nspire File(s): Arith_Prog_find_the_missing_terms.tns Accompanying file(s): NONE
Geometric Progressions
and Arithmetic Progressions 9 examples and application problems
Precalculus
This activity contains 9
examples and applied problems with the solutions explained using the Geometric
and Arithmetic Progression formulas.
TI-Nspire File(s): Geom_Prog_Arith_Prog_9_ex_and_apps.tns Accompanying file(s): NONE
More Activities Will Be
Continually Added As They Are Developed. Come back soon.