Pennsylvania Department of Education
Using the Coordinate Plane in Problem Solving
Fifth graders practice solving problems. In this fraction and decimal lesson plan, 5th graders recognize the relationship between fraction and decimals. Students estimate problem results and write expressions to use for problem solving.
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Graphs And Ellipses
High schoolers become acquainted with linear graphs, the parabola and the rectangular hyperbola. Also prepare tables of paired values as preparation for plotting a line. They study the cartesian equation of an ellipse, with a worked...
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VARIABLES AND PATTERNS, USE AFTER INVESTIGATION THREE. DISCRETE OR CONTINUOUS LINEAR RELATIONS.
Students discover for which kind of linear function is appropriate to use the "scatter" or the "connected" term. In this lesson, students investigate functions using variables, patterns book, graph paper, rulers and the graphit program.
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Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
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The Tortoise And The Hare
Students use the children's story of The Tortoise And The Hare in order to investigate the graphing of equations. The story is converted to an algebraic word problem for them to solve. Students investigate the relationships of data and...
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Hyperbolas
Students engage in a lesson plan that covers the concepts related to the graphing of hyperbolas looking at topics like foci, center, vertices, and asymptotes. They find multiple different points in the coordinate plain and then plot the...
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Where is ? ? ? ?
Learners 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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Parabolas
Students find equations of parabolas in real world scenarios. In this finding equations of parabolas in real world scenarios lesson, students find the equations of parabolas of US landmarks. Students put a grid on landmarks such as the...
Pennsylvania Department of Education
Classifying Figures on the Coordinate Plane
Fifth graders use estimation to solve word problems. In this fractions lesson, 5th graders decide whether or not an answer to a work problem is reasonable by applying their knowledge of fractions, decimals and estimation. This lesson...
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Absolute Value of Linear Functions
Students discover how abolute value affects linear functions. They complete a worksheet simulating a path for miniature golf hole in one for three figures. They construct a hole in one graph for each hole marking the X and Y coordinates.
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Conic Sections
Students explore the different properties of conics. In this algebra lesson, students calculate the midpoint of a line, the distances between two points as they get ready to find the focus and directrix in eclipse and other conics. They...
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Walking Home II
Students explore the relationship between distance and time. They analyze a situation involving distance traveled in a given period of time, represent the situation graphically and algebraically, and discuss the concept of slope as a...
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The Solar System
Students construct a sketch of the planets in our solar system using concentric circles and angles. In this solar system lesson plan, students plot the position of each planet on concentric circles using graph paper. The sun is included...
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Exploring Transformations: Translations and Reflections
Learners perform translation and reflection. They identify the coordinate points of the new graph and create a formula for the movement. They identify the pre-image the and after image.
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Equation of a Circle
Young scholars write the equation of a circle. In this geometry activity, students check the solution of a coordinate pair by evaluating them. They graph the circle given the equation and radius.
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Slope and Topographic Maps
Students investigate slopes as they study topographic maps. In this algebra lesson, students discuss and apply the concept of slopes to graphing and analyzing data.
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Osprey Journey
Learners 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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Reflection of Light and Mirrors
Students address common misconceptions concerning reflection, light and mirrors. They investigate light reflection in mirrors and determine how light is transferred to the eye. In addition, they make predictions and then test them...
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Equations of Circles
Using Cabri Jr. students construct a circle and determine the equation of the circle they drew by finding the center and the radius. Students use the distance formula to derive the equation of their circle.
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Points on a Line
How do you find slope? You use points on a line of course. slope. Teach your class how to calculate and differentiate between horizontal and vertical lines. They are sure to be pros at graphing lines on a coordinate plane by the end of...
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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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Data
Learners collect data from an experiment they perform. In this data lesson, students use multiple representations to solve practical problems; describe advantages and disadvantages of the use of each representation. Then, they evaluate...
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Chart the Stars
Seventh graders find constellation distances and plot the stars. In this star lesson, 7th graders plot the star points for Canis Major. Students use graphing calculators to graph the constellation. Students choose another constellation...
Pennsylvania Department of Education
Introducing the Coordinate Plane
Fifth graders practice using estimation. In this estimation lesson plan, 5th graders add, subtract, multiple, and divide using whole numbers, fractions, and decimals. Students decide upon instances when estimation is more appropriate...