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Algebra Lesson Plan: (26) lessons

Lesson NameLesson Description and FeaturesShortcut Commands?Quiz Generator?Practice Problems?
1 unknown equationSolves for equations with 1 unknown variable with terms on either side of the equal sign in the form c, cx, and cx + c.N/AN/AN/A
2 Lines IntersectionEnter any 2 line equations, and the calculator will determine the following:
* Are the lines parallel?
* Are the lines perpendicular
* Do the lines intersect at some point, and if so, which point?
N/AYESYES
3 unknowns using Cramers RuleSolves for 3 unknowns with equations in the form ax + by +cz = d using Cramers Method.N/AYESYES
4 unknowns using Cramers RuleSolves for 4 unknowns with equations in the form aw + bx + cy + dz = e using Cramers Method.N/AYESYES
Algebra MasterGiven 2 polynomials this does the following:
1) Polynomial Addition
2) Polynomial Subtraction
3) Polynomial Multiplication
4) Polynomial Long Division

Also generates binomial theorem expansions and polynomial expansions with or without an outside constant multiplier.
YESN/AYES
Binomial Multiplication (FOIL)Multiplies out the product of 2 binomials in the form (a + b)(c + d) with 1 unknown variable.
This utilizes the First-Outside-Inside-Last (FOIL) method.
YESYESYES
Complex Number OperationsGiven two numbers in complex number notation, this calculator:
1) Adds (complex number addition), Subtracts (complex number subtraction), Multiplies (complex number multiplication), or Divides (complex number division) any 2 complex numbers in the form a + bi and c + di i where i = √-1.
2) Determines the Square Root of a complex number denoted as √a + bi
3) This calculator includes a random problem generator as well.
N/AYESYES
Consecutive Integer Word ProblemsCalculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.N/AYESYES
Cubic EquationSolves for cubic equations in the form ax3 + bx2 + cx + d = 0 using the following methods:
1) Solve the long way for all 3 roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.
YESYESN/A
Difference of Two SquaresFactors a difference of squares binomial in the form a2 - b2 or multiplies 2 binomials through in the form (ax + by)(ax by).N/AN/AYES
Distance between 2 people going opposite directionsWord Problem calculator to measure distance between 2 people moving in opposite directions with rate and time solved for as wellN/AN/AN/A
Distance Rate and Time CalculatorSolves for distance, rate, or time based on 2 of the 3 variables being known.YESYESYES
Equation from 3 PointsForms a quadratic from 3 points that are entered.N/AN/AN/A
Expand Master and Build Polynomial EquationsThis calculator is the ultimate expansion tool to multiply polynomials. It expands algebraic expressions listed below using all 26 variables (a-z) as well as negative powers. Includes multiple variable expressions as well as outside multipliers.
Also produces a polynomial equation from a given set of roots. * Binomial Expansions c(a + b)x
* Polynomial Expansions c(d + e + f)x
* FOIL Expansions (a + b)(c + d)
* Multiple Parentheses Multiplications c(a + b)(d + e)(f + g)(h + i)
YESN/AYES
Expanded and Word NotationCalculates the expanded notation of any integer as well as decimals, or, shows the word representation of a positive integer up through the trillions.YESN/AYES
Factoring Polynomials and Determining RootsThis calculator factors a binomial including all 26 variables (a-z) using the following factoring principles:
* Difference of Squares
* Sum of Cubes
* Difference of Cubes
* Binomial Expansions
* Quadratics
* Common Term
This calculator also uses the Rational Root Theorem (Rational Zero Theorem) to determine potential roots
YESN/AYES
Imaginary NumbersCalculates the imaginary number i where i = √-1 raised to any integer power.YESN/AYES
Interval NotationThis calculator translates the following inequality statements to interval notation:
* x < 5
* y <= 5
* z > 5
* a >= 5
* b < 5 or b > 20
* 0 <= c < 5
YESN/AYES
Line Equation-Slope-Distance-Midpoint-Y interceptEnter 2 points, and this calculates the following:
* Slope of the line and the line equation y = mx + b that joins the 2 points
* Midpoint of the two points
* Distance between the 2 points
* 2 remaining angles of the rignt triangle formed by the 2 points
* y intercept of the line equation

Or, if you are given a point on a line and the slope of the line including that point, this calculates the equation of that line and the y intercept of that line equation.
YESYESYES
Perfect Square Trinomials and Completing the SquareChecks to see if equations in the trinomial form ax2 + bx + c are a perfect square as well as completing the square from equations in the form ax2 + bx + ?.N/AYESN/A
Point and a LineEnter any line equation and a 2 dimensional point.  The calculator will figure out if the point you entered lies on the line equation you entered.N/AYESYES
Quadratic EquationsSolves for quadratic equations in the form ax2 + bx + c = 0. Also generates practice problems as well as hints for each problem.
* Solve using the quadratic formula and the discriminant Δ
* Complete the Square for the Quadratic
* Factor the Quadratic
* Y-Intercept
* Vertex (h,k) of the parabola formed by the quadratic where h is the Axis of Symmetry as well as the vertex form of the equation a(h - h)2 + k
* Concavity of the parabola formed by the quadratic
* Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator.
YESYESYES
Quartic EquationsSolves quartic equations in the form ax4 + bx3 + cx2 + dx + e using the following methods:
1) Solve the long way for all roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.
YESYESYES
Scientific NotationConverts a number into scientific notation or scientific notation to a number.N/AYESYES
Synthetic DivisionUsing Ruffinis Rule, this performs synthetic division by dividing a polynomial with a maximum degree of 6 by a term (x ± c) where c is a constant root. The calculator returns a quotient answer that includes a remainder if applicable.N/AYESYES
System of Equations: 2 UnknownsSolves a system of equations with 2 unknowns using the following 3 methods:
1) Substitution Method (Direct Substitution)
2) Elimination Method
3) Cramers Method
N/AYESN/A

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