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Graphs and Functions

For Teachers All
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Shape It

For Teachers 4th
Fourth graders use math software and geoboard paper to design basic shapes. They write individual definitions for the geometric shapes based on what they see in the shapes. They apply their background knowledge of the shape as they write...
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Looking For Triangles

For Teachers 8th - 10th
Students solve problems with triangles. In this geometry lesson plan, students analyze shapes to find different triangles. They name the shapes created by putting triangles together.
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Investigating Equations of Lines

For Teachers 9th - 12th Standards
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
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Investigating the Slopes of Parallel and Perpendicular Lines

For Teachers 9th - 12th Standards
High schoolers investigate parallel and perpendicular lines. They use Cabri Jr. to construct and explore the relationships between the slopes of parallel and perpendicular lines. The drawing and measurement tools available with Cabri Jr....
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One Good Turn Deserves Another

For Teachers 1st - 2nd
Students make observations about shapes and 1-, 2-, and 3-dimensional objects. They conduct observations and make predictions regarding transformations of simple geometric shapes. They identify shapes that occur in household items.
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Sled Kite Proportions

For Teachers 6th - 8th
Students build sled kites. in this kite building lesson, students must read directions for kite building and enlarge the proportions of the given kite pattern. Students focus on the angles and line of symmetry in their kite. 
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Pick's Theorem

For Teachers 9th - 11th
Students investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
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Quadratic Equations and Parabolas

For Teachers 9th - 11th
Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
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Challenge: Skills and Applications Lesson 1.3

For Students 10th - 12th
In this skills worksheet, students explain the Segment Addition Postulate, provide examples and counter examples and determine congruent line segments.  This one-page worksheet contains 11 multi-step problems.
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Ecology - Biodiversity Lab

For Teachers 9th
Studnents examine the degree of biodiversity that exists in one's everyday environment, in order to develop an understanding of how scientists classify organisms and to explain why biodiversity is important for living things.
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Conic Sections and Locii

For Teachers 9th - 11th
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
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Mathematicians of the Month

For Teachers 7th
Seventh graders become familiar with the history and times which influenced a featured mathematician each month. Through Internet research, they gather information about a different mathematician each month. Students solve mathematical...
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Parabola

For Students 10th
In this parabolas activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
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System of Axes

For Students 10th
In this system of axes worksheet, 10th graders solve and complete 1 word problem. First, they determine the figure shown in the illustration and set-up an expression. Then, students solve to find the shaded region of the diagram.
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Reflections over Two Lines & Dilations

For Teachers 7th - 9th
Young scholars create reflections over two lines. In this reflections worksheet, students compare and contrast reflections over parallel and intersecting lines. They dilate figures and investigate the effect of the dilation using...
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Exploring the Slopes of Parallel and Perpendicular Lines

For Teachers 8th - 10th
Students calculate the slope of parallel and perpendicular lines.In this algebra lesson, students differentiate between parallel and perpendicular lines. They graph their lines using the slope of the equation.
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Fifteen Regents Exam Midpoint Problems

For Students 8th - 10th
In this midpoint instructional activity, students answer ten multiple choice and five free-response problems using the midpoint formula.  The solutions are provided.
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Slope of a Function

For Teachers 7th
Seventh graders explore the concept of the slope of a line. They see how to determine the direction of the line. Also students are introduced to the slope intercept algebraic expression in conjunction with the rise/run.
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The Pythagorean Theorem, the Distance Formula, and Slope

For Teachers 9th - 12th
Learners explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem activity, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Poetic Justice: A Study of Poe's Famous Works

For Teachers 8th
Students explore Edgar Allan Poe's most famous short stories. In this Edgar Allan Poe lesson, students complete a 25 page packet of activities where they recognize the features of genres and literary devices Poe uses. Students read "The...
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Isosceles Triangle Theorems

For Students 10th - 11th
In this isosceles triangle worksheet, learners use theorems to determine if given triangles are congruent or not congruent. In addition, they identify the described triangles as isosceles or right. This one-page worksheet contains ten...
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Transformations: Reflections

For Teachers 9th - 12th Standards
Students perform transformations on their graphs. In this algebra lesson, students identify the pre-image and image. They find and identify congruent shapes and isometry.
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Exploring Transformations: Translations and Reflections

For Teachers 9th - 12th Standards
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.