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Scientists Track the Rising Tide
In this tracking the rising tide learning exercise, students use the data in a graph showing the seal level change versus time from 1900 to 2000 to answer 3 questions about the rising tides. Students determine the slope of a line drawn...
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The Slope of a Line
Students define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.
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EOC Review G
In this end of course review, students factor expressions, interpret statistic problems, and identify the maximum and minimum of equations. This two-page instructional activity contains 5 multi-step problems.
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Lines in the Plane
Students differentiate between parallel and perpendicular lines. In this algebra instructional activity, students graph linear equations using the slope intercept form. They classify lines based on their slopes.
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Equations of Lines
Students define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Students determine special...
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The Standard Form of A Quadratic Equation
High schoolers investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...
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Reciprocals of Quadratic Functions
Eleventh graders investigate inverse functions. In this Algebra II lesson, 11th graders use their prior knowledge of linear, exponential,and quadratic functions to create a graph of an equation they have never seen before.
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Polynomial Functions
In this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial division....
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Polynomial Functions
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice problems....
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Linear Functions: Are You Ready for the REAL World?
students emulate a real world problem and model it with mathematics working in a small group. Observe and facilitate discussion as the groups use various strategies, such as (graphs, brainstorming, tables, and dialogue.
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Solve-Real roots-Intersections
In this math worksheet students complete a series of multiple choice questions including calculating intersections using x and y axis.
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Find the Average Value of a Function
In this calculus worksheet, 11th graders calculate the average value of a function. They find the line tangent to a curve and graph the equation. There are 15 questions.
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Eighty-Six Various Polynomial Function Problems
In this polynomial functions worksheet, students solve eight-six various problems concerned with the degree, graph, intercepts, end behavior, and transformations of polynomial functions. Some of the problems are algebraic work and some...
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Two Variable Inequalities
In this algebra learning exercise, students solve inequalities using addition, subtractions and multiplication. They graph the inequalities with shading. There are 2 questions.
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Linear Equations Project Fram
Students engage in a lesson that focuses on the concept of linear equations. They practice solving problems with a variety of problems and graphing the solution set for each. Students write a summary paragraph about two methods of...
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Rational Functions
In this Algebra II/Pre-calculus learning exercise, students solve and graph rational equations, identifying the intercepts and asymptotes. The six page learning exercise contains nine problems. Answers are not provided.
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Worksheet 9, Rational Functions
In this algebra worksheet, students tell how they would find the domain of a rational function. They find the intercepts of a rational function and graph it. Students test for symmetry, locate the asymptotes and determine where the graph...
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Application of Parabolas
Students graph quadratic equations. In this algebra lesson plan, students relate the parabola to real life applications. They identify the maximum and minimum of the parabola.
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Identifying slope from Equations
Students find the slope of a line given a linear equation in slope-intercept form. They also find the slope of a line given a linear equation in standard form. Students finally graph the line to show it visually.
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Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
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Composition of Functions
Students solve problems using the composition of functions. In this algebra instructional activity, students analyze the graph of a quadratic equation for its vertex and intercepts. they find the inverse of the function using addition,...
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Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse of a...
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Worksheet 1, Basic Calculus Pre-Course Review
In this calculus worksheet, students review topics they need to already understand in order to be successful in a basic calculus course. Topics include functions, linear equations, coordinate graphing, piece-wise formulation, exponents,...
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Worksheet 7, Polynomials
In this algebra worksheet, young scholars graph 3 polynomial functions. They find the intercepts, and the intervals above the x axis. Students create their own polynomials with given characteristics.