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Precalculus: Function Models for Real-Life Situations

For Teachers 10th - 12th
Learners use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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The Doctrine of Signatures

For Teachers 10th - 12th
Students use the graphing calculator and the core equation: y=Ax^2+Bx+C where A = the acceleration of gravity/2, B = the initial velocity, and C = initial height above ground to graph parabolas for Earth and Mars. They experiment with...
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Equations With Radical Expressions

For Teachers 10th - 12th
Students solve systems of equations with radical expressions. After reading real life situation, they translate the problem into algebraic expressions. As a class, students solve quadratic equations and inequalities by graphing and...
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Trigonometry: Worksheet for Test #4

For Students 10th - 11th
In this trigonometry worksheet, students determine whether given mappings are functions. They evaluate 5 functions for a given x value. Students graph 2 functions. They determine which ordered pairs are solutions to given functions....
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Functions and the Vertical Line Test

For Teachers 8th - 12th
Students explore the concept of functions. In this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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Graphing Parabolas and Circles

For Teachers 9th - 11th
Pupils graph parabolas and circles. In this algebra lesson plan, students create a table of values and graph the coordinate pairs to create a graph. They graph a circle using the radius and center.
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Modeling Population Growth

For Teachers 9th - 11th
Learners collect data on population growth. In this statistics lesson, students graph their data and make predictions. They find the linear regression and the best fit line.
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Relating Distance and Velocity Over Time

For Teachers 8th - 11th
Students calculate the distance and velocity over time. In this algebra lesson, students graph a linear function to represent the distance vers time travel. They interpret their graphs and draw conclusion.
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Square Graphs

For Teachers 7th - 11th
Students identify the different properties of quadrilaterals. For this geometry-lesson, students define parallel sides and diagonals of polygons as they compare to a quadrilateral. They identify the methods to find the angles in a...
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Follow That Ship!

For Teachers 4th - 12th
Students in this exercise are introduced to the distinct ways of measuring distance (nautical miles) and speed (knots) at sea, as well as the concepts of latitude and longitude for establishing location.
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Algebra- Cell Phone Plans

For Teachers 9th - 12th
Students analyze graphs to compare cell phone plans. In this algebra lesson, students work together to analyze phone plans and report the best phone plan. Students develop tables and graphs.
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Linear and Exponential Growth

For Teachers 8th - 11th
Students explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Students model the data to determine if it is linear or exponential.
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Arc Length - Horse

For Teachers 9th - 12th
Young scholars define an arc and calculate its length. In this geometry lesson plan, students find examples of arc in the real world. They show their understanding of arcs through problem solving.
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Calculating Distances in Two and Three Dimensions

For Teachers 9th - 11th
Students use the Pythagorean Theorem to solve problems. In this geometry instructional activity, students solve for the distances by calculating the different parts of the shape of a two and three dimensional shape. They reason by analogy.
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Boyle's Law

For Teachers 9th - 12th
Students create a piston/cylinder assembly using SolidWorks. In this technology lesson, students calculate volume, pressure and Boyle's law constant. They simulate equalizing air pressure by moving the piston out of the cylinder.
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More of U.S.

For Teachers 9th - 12th Standards
Explore graphical representation of a real-life data set and determine the exponential regression model for the data in your classroom. High schoolers also compare the estimated value to the given value by determining the percent error.
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Using Linear Models

For Students 11th
In this Algebra II worksheet, 11th graders examine models whose behavior can be described by a linear function.  The four page worksheet contains explanation of topic, three guided problems, and eight practice problems. ...
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Sampling Distributions

For Teachers 9th - 11th
Students analyze sampling from different population. In this statistics lesson, students define the meaning of sample sizes and what causes an increase or decrease. They graph their data on the Ti calculator and draw conclusion from the...
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Exercise Those Statistics!

For Teachers 9th - 12th
Young scholars participate in various activities, measuring their pulse rates and recording the data. They analyze the statistical concepts of mean, median, mode, and histograms using the data from the cardiovascular activities.
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Sloping and Intersecting a Linear Function

For Teachers 9th - 12th
High schoolers examine and discuss typical linear equations, and the difference between a linear and nonlinear equation. They observe examples of linear equations and complete a worksheet.
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The Proof Is in the Picture

For Teachers 9th - 12th
Students select a geometric figure and find an example of the figure in their surroundings. They photograph the figure and write a proof to accompany it. They match photos to proofs.
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Investigating Force, Acceleration and Velocity

For Students 10th - Higher Ed
In this Investigating force, acceleration and velocity worksheet, students read story problems involving constant velocity and acceleration, create a diagram of the problem, and consider the forces acting upon the item discussed. They...
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Real Life Graphs

For Students 9th - 11th
In this real life graphs worksheet, students examine graphs and determine the equation of a line. They interpret distance time graphs and draw graphs to match a real life situations. This three-page worksheet contains 3 multi-step problems.
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Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.

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