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Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
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Coordinate Proofs
Students explore the concept of coordinate proofs. For this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
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Quadratics: Vertex Form
Young scholars practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens....
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Computing Indefinite Integrals
Provide your students with a framework for introducing indefinite integrals. It takes into account a learner’s prior knowledge of slope fields and definite integrals and uses the notion of an antiderivative to give them an intuitive...
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Tracing Highs and Lows in San Francisco
On a topographic map, young scholars identify the scale bar, north arrow, and contour interval. They then locate a hill on the map and make note of the contour lines. Students then locate other places with similar contour line patterns....
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Translate Word Phrases and Sentences into Equations
Use this video to show your learners an example of how to translate word phrases into an equation to solve a real-world problem. The presenter begins with a review of how to use cross products to solve a proportion, including how to do...
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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...
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Get Geared Up
Middle schoolers calculate gear ratio as they solve word problems. They discuss and find slopes as they relate to real life. Additionally, they hey use ratio and proportion to make predictions and solve problems.
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Speed of a Forest Stream
Learners study stream speed. In this stream speed lesson students complete an activity and formulate an opinion and study its effects.
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Graphing Data from the Chemistry Laboratory
Young scholars graph and analyze data using a spreadsheet.
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Equations of Lines
Learners classify lines, slopes and shapes. For this calculus lesson, students calculate the midpoint, segment and equation of a circle. They also review what a slope and angle of inclination is.
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Solving Systems of Equations
Students identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
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Which Quadrilateral Is It?
Young scholars prove conjectures about geometric figures on the plane or in space using coordinate geometry. They develop fluency in operations with real numbers, vectors and matrices using mental computation or paper-and-pencil...
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Surface Area of Prisms
Young scholars compute surface area and volume of prisms. In this surface area activity, students find the surface area and volume of rectangular and triangular prisms. Independently, young scholars use their computers to determine the...
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Games
In this learning exercise, learners identify size and shapes if different circles. They identify the circles as sets of four using a specific pattern.
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Sudoku Puzzle with Derivatives
In this Sudoku puzzle worksheet, students use basic derivative formulas, the chain rule and implicit differentiation to solve given problems. This six-page worksheet contains 26 problems. Answers are provided on the last page.
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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. ...
Center of Excellence for Science and Mathematics Education
A Sick Astronaut
Aspiring astronauts graph, interpret, and analyze data. They investigate the relationship between two variables in a problem situation. Using both graphic and symbolic representations they will grasp the concept of line of best fit to...
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Measuring Velocity
Students calculate their classmate's velocity using a mathematical formula. In this physics lesson, students graph the motion. They interpret the slope of the graph.
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Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
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Regents Exam
In this math learning exercise, students perform basic operations all the way up to precalculus. They graph, identify slopes, plot data and analyze it. There are 34 questions.
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Rules for Differentiation
Twelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...
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Velocity vs. Time
Twelfth graders read and interpret v-t graphs. After studying velocity and time, 12th graders read graphs to calculate the acceleration of a moving body and determine the distance and displacement of a body. Students explore the...
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Linear Functions
In this linear functions learning exercise, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.