Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
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Translations, Reflections and Rotations
Fifth graders use the Internet to learn about translations, reflections and rotations. Students access the Transmographer program on the Internet, where they practice what they have learned. Students also complete a worksheet.
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Applying Proportionality in Scale Drawings
Sixth graders examine a blue print and discuss the reasoning behind using blue prints. In this proportionality lesson plan, students collaborate with their teammates to create a scale drawing. Once that is complete, 6th graders...
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Quadrilateral Explorations-Grade Nine
Ninth graders investigate quadrilaterals. In this geometry lesson plan, 9th graders examine and classify quadrilaterals using the slope, midpoint and distance formulas. Additionally, students create various quadrilaterals...
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Investigating Area Using Tangrams
Tenth graders connect the history of geometry to problem solving. In this geometry lesson, 10th graders investigate polygons through hands on manipulatives and solve problems relating to parallelograms and triangles. They calculate the...
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Riemann Rectangle Errors
High schoolers calculate the area under a curve. In this calculus lesson, students integrate the function to find the area under the curve. They use the Ti to create a visual of the graph.
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Fractions of a Set
Third graders use fractions to describe part of a set. In this fractions lesson, 3rd graders are introduced to fractions through a book and use pattern blocks to describe a fraction as a part of a set. This lesson includes a scripted...
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Translating Transformations in Geometry
Students create an image using given coordinates and evaluate how the coordinates change when a slide or rotation takes place.
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Transformations-Shapes on the Move
Students examine transformations. In this math lesson plan, students view and describe flips, slides, and turns. Students practice making transformations with shapes.
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The Mandelbrot Set
Students explore the concept of Mandelbrot sets and Julia sets. For this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot...
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Lines and Angles
Sixth graders explore lines and angles. They create visual representations of lines, rays and angles by drawing them on paper and using a geoboard. On paper, 6th graders write a summary of the characteristics of their representations.
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Pysanky: Not Just a Pretty Egg
Pupils examine the art of Pysanky. Using the Internet, they identify the cultural similarities and differences between the United States and the Ukraine. Using Pysanky's art, they discover the symbolism he used in his artwork and design...
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ABC's Transformer
Fourth graders design their own letter graph, and then produce the resulting graphs after a translation, reflection, and rotation. After a review of vocabulary, 4th graders create their graphs using crayons.
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Fractals and the Chaos Game
Pupils explore the concept of fractals. In this fractals instructional activity, students play the "Chaos Game" via an applet. Pupils place dots on the screen to recognize that they have created Sierpinski's Triangle.
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Reflections
Fifth graders create a reflection of a poygon using a Mira. They discover that a line connecting a vertiex of a polygon and the corresponding vertex of its reflection is perpendicular to the line of reflection. Students create a glide...
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Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry instructional activity, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The instructional activity progresses...
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Pythagorean Theorem
Learners investigate the Pythagorean Theorem. In this seventh through twelfth grade geometery lesson, students explore the Pythagorean Theorem and its converse and use it to find the length of the missing side of a right...
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Finding the Area of a Parallelogram with Translations
Students calculate the area of parallelograms. In this geometry lesson, students identify properties of parallelograms and use to to solve problems. They create polygons using Cabri software.
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The Pythagorean Theorem, the Distance Formula, and Slope
Students explore the concept of the Pythagorean Theorem. In this Pythagorean Theorem lesson, students derive the distance formula and slope of a line from the Pythagorean Theorem.
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Opening A Cube
Fifth graders investigate mathematical concepts related to the construction of a three dimensional cube. They construct the cube from two dimensional patterns and compute the surface area. Students also define the faces, edges, and...
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Slope Right Up
Learners use triangles to find the length and slope of each side. After connecting the vertices, they add points based on their specific instructions. They use the Pythagorean Theorem to complete a worksheet to end the lesson.
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Squares in the Light
Students collect and analyze data using a graph. In this algebra lesson, students explain their findings orally and with a graph. They use their knowledge to solve real life scenarios.
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Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors instructional activity, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page...
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Conic Sections and Locii
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.