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Properties of Exponential Functions
In this algebra worksheet, students graph exponential equations and use the formula to translate the graph on a coordinate plane. There are 3 word problems.
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Sequences and Series
In this algebra worksheet, students find the formula for the sequences and summation of each problem. There are 14 questions with a detailed answer key.
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Area of Circles
Students explore circles. In this algebra/geometry instructional activity, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
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Number and Algebra: Again and Again
Learners use a given spreadsheet to investigate an iterative process by changing the variables. They design their own spreadsheet to investigate the iterative process.
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Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
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Lesson 5: The Quadratic Formula
Learners plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
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Algebra, Multiplication, and Division of Fractions
Students gain knowledge by measuring time and distance for solving unknowns in an equation. They also will design an airplane and chance to communicate mathematically by writing essays.
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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Finding the Distance and Midpoint of a Line Segment
Students use the Pythagorean formula to find the length of a line. Afterward, they explore the midpoint formula to determine the midpoint of a line with a non-zero slope on a coordinate plane. Students complete assigned problems and...
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Linear Equations
In this Algebra I learning exercise, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line. The five page learning exercise contains...
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Faster speed-Shorter Time
Students calculate the inverse variation, and speed given the formulas. In this algebra lesson, students investigate properties of conics, focusing on the hyperbola. They identify the distance between the directrix and other parts...
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Effects of Parameter Changes
Students define properties of a quadratic equation. In this algebra lesson plan, students graph and factor quadratic functions. They write equations for polynomials, given a graph.
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How Far Am I Traveling
Students solve for missing sides using the Pythagorean theorem. In this algebra lesson, students derive the six trigonometric values using the right triangle. They relate the Pythagorean theorem to the distance formula.
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Why Does the Rule of 72 Work
In this algebra worksheet, learners solve a word problem by rewriting it using algebraic symbols. They calculate the interest compounded over a period of time using the Interest Formula. This worksheet includes 1 problem and an answer key.
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Applications of Parabolas
In this algebra worksheet, 11th graders rewrite word problems using algebraic symbols. They relate parabolas to the real world and calculate the breaking distance using the distance formula they come up with. There is answer key.
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Growing Circles
High schoolers identify the equation to represent a circle. In this algebra lesson, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
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Applications of Properties of Quadrilaterals in the Coordinate Plane
Students explore the concept of quadrilaterals. In this quadrilaterals lesson, students use the slope formula, midpoint formula, and distance formula to justify that a given quadrilateral is a parallelogram.
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Linear Equations
In this Algebra I worksheet, students determine the graph of the equation of a line. Students determine the x- and y-intercepts and graph. The three page worksheet contains six problems. Answers are not...
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Identities and Trigonometric Values
Learners solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
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Volumes of Prisms and Cylinders
Students calculate the volume of prisms and cylinders. In this geometry lesson, students are give part of the formula, and must calculate the missing parts. They use 80% accuracy for their dimensions.
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Houses and Cars and Loans
Students create a spreadsheet to track their spending. In this algebra instructional activity, students use loan formulas to calculate the payback amount plus interest on a loan. They calculate how much money they would need to buy...
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Slope of a Function
Seventh graders explore the concept of the slope of a line. They see how to determine the direction of the line. Also students are introduced to the slope intercept algebraic expression in conjunction with the rise/run.
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Converting Celsius to Fahrenheit
In this Algebra I instructional activity, 9th graders explore an alternate method for converting Celsius to Fahrenheit and determine the algebra behind the shortcut. The one page instructional activity contains one problem. ...
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Students use fundamental counting principle to compute combinations and permutations
Students define Pascal's triangle and special notations used to represent nth elements. For this geometry lesson, students solve problems using permutations and combinations. They compare the formula for permutation to that of Pascal's...