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Math 53 - Midterm 1 Review
In this math worksheet, students eliminate the parameter to find a Cartesian equation of the curve given by the parametric equations.
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Slope Field Matching
In this slope field worksheet, young scholars match the slope field with the matching differential equation. They sketch possible solution curves to match given initial conditions. This two-page worksheet contains approximately 14...
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Worksheet 28 - Spring 1996
For this math worksheet, students examine the graph in polar coordinates of r = f(θ). Then they sketch a graph of the modified functions indicated.
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Investigating Functions
In this investigating functions worksheet, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs shown. Then, students make a rough sketch of graph on a coordinate plane. They also determine...
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Inflection Points
In this inflection points worksheet, 11th graders solve and complete 5 different problems. First, they find intervals of x for which each of the following curves is increasing, decreasing, concave upward, concave downward. Then, students...
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Intervals
In this intervals instructional activity, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all...
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Puzzle Mystery
Students solve the mystery of which painting they are reproducing by sketching. They determine the mood and imagery in artwork.
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Epidemic or False Alert?
In this rate activity, students use the SIR model to determine if a disease is spreading at an epidemic rate. They find the slope of a curve and the slope of a line that goes through a given point. This two-page activity contains...
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Picasso's "The Butterfly"
Students draw a butterfly. In this drawing lesson, students explore a drawing upside down. Students sketch a butterfly while the image is reversed to tap into their right brain dominance.
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Worksheet 15
In this math instructional activity, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
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Function Investigation
In this functions activity, 11th graders solve and complete 18 different problems. First, they graph each equation on the graphs provided, making a rough sketch on a coordinate plane. Then, students predict what each graph will look like...
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Graphing Polar Equations
For this graphing polar equations worksheet, students solve and complete 10 various types of problems. First, they construct a table of values using the special angles and their multiples. Then, students plot the points in the table on a...
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Ice Ain't Easy
Students are introduced to the laws of thermodynamics. The 1st law of thermodynamics states that the energy must be conserved when two objects of different temperatures come in contact. If one object gains energy, the other object must...
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Graphing Scatterplots
Students examine scatterplots and determine the equation of a line using the slope-intercept method. Students interpret graphs, draw inferences, and sketch a curve of best fit for the graph. Based upon patterns in the graphs, students...
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Discussion Sheet 1: Three-Dimensional Space
In this three-dimensional space worksheet, students sketch three-dimensional spaces, determine the intersection of two surfaces, plot curves, and evaluate the limits. This one-page worksheet contains six multi-step problems.
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Finding Probability Using the Normal Probability Distribution
In this normal distribution instructional activity, students find probability in four problems using the normal probability distributions. Students should sketch the curve and shade the region.
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Review For Test On Chapter 5
High schoolers engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The lesson plan includes an outline of review that should be used by the...
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Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Slope Fields
Students sketch a slope field for a given differential equation, given a slope field. They also match a slope field to a differential equation and match a slope field to a solution of a differential equation. Finally, students use a...
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Ice Ain't Easy
Students are told that objects in contact with one another reach an equilibrium temperature. A hot object placed in a cool liquid always cool off. It never happens that the object gets hotter and cool liquid gets colder. Students predict...
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Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
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Introduction to Tangent Lines using the TI-Nspire
Learners make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
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Exploring the Symmetry in Graphs of Quadratic Functions
Math is all about finding solutions and connections you didn't expect! Young mathematicians often first discover nonlinear patterns when graphing quadratic functions. The instructional activity begins with the vocabulary of a quadratic...