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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra instructional activity, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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Exploring Geometric Constructions of Parabolas
Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
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Rational Equations
For this algebra worksheet, students find the common denominator for 8 problems so they can solve for x. The rational equations include binomial expressions as denominators for 5 of the problems.
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Coordinate Geometry
In this geometry worksheet, learners calculate the midpoint and distance between two points. They use the correct formula to solve the area and perimeter of polygons. There are 20 multiple choice questions with an answer key.
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Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Roman Bernardo: Solving Linear Equations
Mathematicians use an inquiry method to solve linear equations. In this linear equations instructional activity, students practice solving equations using addition, subtraction, multiplication and division. They solve multi-step...
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Ict Activity 22
Learners use Excel to solve quadratic equations by trial and improvement. They enter formulas and try different solutions to improve their solutions more quickly. Afterwards, they report the solutions to different levels of accuracy.
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Sum and Product of Roots 6-5
In this quadratic equation worksheet, students list the general quadratic equation form, formula for sum of roots, and formula for product of roots. The then learn how to write a quadratic equation given its 2 roots. Students use these...
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Sequences
In this sequences worksheet, students find the limit of a sequence. They explore Ulam's sequence. Students calculate differences for terms in a quadratic sequence. this four-page worksheet contains approximately 20...
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Linear Equations
In this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
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Linear Functions
In this algebra worksheet, students identify and label functions as linear or not. They find the domain and range of each function. There are 15 multiple choice questions.
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The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Solving Equations by Factoring
In this solving equations by factoring activity, learners solve and complete 10 different problems. First, they solve each equation using the Zero product property. Then, students define a variable and use an equation to solve the...
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Probability of an event Occurring
In this probability worksheet, 11th graders calculate what the probability of the color of shirt someone is wearing is. There is a solution key with this problem.
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Lesson #158 Translation and Rotation of Axes
Students practice with the discriminant. In this translation and rotation instructional activity students view a dissectible cone and discuss the discriminant for the second detree equation. They follow the examples from the instructor...
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Fundamental Theorem of Algebra
In this learning exercise, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
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Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
Alabama Learning Exchange
Classifying Complex Numbers
Imaginary numbers are a real thing. Scholars learn about complex numbers, real numbers, and imaginary numbers. They classify given numbers as strictly complex, strictly real, or strictly imaginary in an individual or group activity.
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Annual Wetland Plant Diversity Survey
High schoolers locate an area of marsh and, by measuring the total number of individual plants in a sample area, determine whether purple loosestrife population density is correlated to the total plant diversity of the community. They...
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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From a Square to a Rectangle
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
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Star Light...Star Bright
In this brightness of stars activity, students use a given formula using the temperature in Kelvins of a star to find its brightness. Students solve 4 problems using this equation.
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Get Your Numbers in Shape - TI-83
High Schoolers use the TI-83 calculator to produce a sequence, explore patterns and find a linear or quadratic equation for a given pattern. They use inductive reasoning to make conjectures about patterns. They find the Y-value of a...