Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed lesson includes essential questions, vocabulary, a materials list, and links to related units.
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Am I Straight
Identify the slope of a linear equation in this algebra lesson. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.
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Properties of Curves
For this Calculus worksheet, students use a graphing calculator to boost their understanding of functions and their graphs as they examine the properties of curves. The forty-two page worksheet contains one hundred problems. ...
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Collecting And Fitting Quadratic Data
High schoolers investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given...
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High School Mathematics Problems from Alaska: AL-CAN Highway Problem
Students write and solve equations converting between metric and standard measurement as they travel southeast on the Al-Can Highway.
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic...
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Reflection
Eighth graders use a stencil to make a figure with which they discover the horizontal line of reflection, the vertical line of reflection, and the diagaonal line of reflection using coordinates.
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Solving Systems of Inequalities
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
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Slopes and Linear Equations
Students find the slopes of linear functions. In this graphing lesson, students analyze linear equations and calculate the slope of the line. They graph a line given the slope and y-intercept.
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Exponential Functions
For this algebra worksheet, students evaluate exponential functions using tables and graphs. There are 6 questions with an answer key.
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Slope
Young scholars calculate the slope of a line. In this slope lesson, students use a graph, an equation or two points to help them calculate the slope of a line. They differentiate between a slope of zero and an undefined slope.
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Slopes and Slope Intercepts
Students identify the slope of an equation using various methods. In this algebra lesson plan, students graph linear equations and calculate the slopes using the x and y intercept to solve the equations and graph the lines. They use the...
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Parallel and Perpendicular Lines
In this algebra/geometry worksheet, students investigate the slopes and equations of parallel and perpendicular lines. The two page worksheet contains a combination of eleven multiple choice and free response questions. ...
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The Sum of Our Integer Intelligences
Students complete tasks. In this Seven Intelligences lesson, students complete a variety of activities that are all based on the seven different intelligences humans are supposed to possess based on Dr. Gardener's theory. They work in...
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Solving Using Linear Equations
Seventh graders explore linear equations. They observe the relationship between linear equations an patterns. Students make decisions using information given in graphs to solve linear equations. They perform a toothpick activity to...
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Osprey Journey
Students investigate the migration route of one bird, Osprey B4, using information gathered from satellites to track birds over a two-year period. They coimpare their graphs with maps of B4's migrations that have been plotted by...
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Geometry: Parallel and Perpendicular Lines
This basic handout would be good for skills practice or a review of parallel and perpendicular lines. Review the definitions, then practice writing equations of lines that pass through a specific point and are either parallel or...
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Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
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Writing Equations in Slope-Intercept Form
Use this worksheet to write equations in both point-slope form and slope-intercept form. Start by writing equations given one point and the slope and finish by writing equations given two points and a few real-world applications. The...
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Where is ? ? ? ?
Students explain and explain the concept of a grid system. They define absolute and relative location and develop an imaginary city on graph paper using a grid system.
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Science: Hurricanes As Heat Engines
Students conduct Internet research to track the path of Hurricane Rita. They record the sea surface temperature of the Gulf of Mexico during and after the hurricane and draw conclusions about how hurricanes extract heat energy from the...
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Hyperbolas
Students locate and identify the center, foci, vertices, and asymptotes fo hyperbolas. They graph equations involving asymptotes and hyperbolas. Finally, students determine the equation of a hyperbola with a horizontal transverse axis.
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High School Mathematics Problems from Alaska: Firewood Problem
Students write and solve equations for the cost of firewood by the cord, then use this information to develop tables of values and graph their equations.
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Dough Lake Topology
Learners practice coordinates and measurements, develop 2D, 3D topological map, construct grid with string on real surface, establish "level" fixed point for measurements, take and record data points of elevation, and enter data on...