Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
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Quadrilateral Explorations
Ninth graders identify quadrilaterals and label the vertices of quadrilaterals. they justify their identification of the quadrilaterals. Students work in groups to identify and create quadrilaterals
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Translations
Young scholars explore the concept of translations. In this translations activity, students discuss similarities and differences between images and pre-images. Young scholars apply translations to coordinates of figures. Students use...
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Coordinate Proofs
Students explore the concept of coordinate proofs. In this coordinate proofs lesson, students write coordinate proofs using properties of distance, slope, and midpoint. Students discuss why it is sometimes beneficial to double the...
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A Perpendicular Pilgrimage
Ninth graders design a safe passage through a 2-D obstacle. In this geometric math lesson, 9th graders engage in a hands on activity to better understand the concept of geometric and algebraic perpendicularity. Students will work in...
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Geo-Town
Second graders use a checklist to construct a Geo-Town map including a compass rose, a map key, and a paragraph about a walk around Geo-Town, using appropriate geometric and directional vocabulary to identify the two-dimensional figures...
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Effect of Transformations on Coordinates
In this effect of transformations on coordinates worksheet, students determine the coordinates of 4 geometric shapes on a grid after a given transformation.
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Patterns in Fractals
Students explore the concept of fractal patterns. In this fractal pattern lesson, students use an applet about the Hilbert Curve to answer questions about rectangles and other polygons. Students derive the fractal pattern when dividing...
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Cracks on the Walls
Students observe the cracks in school walls and pavements. For this geometry lesson, students explore the factors to be considered before building a structure. They complete a graphing and calculation worksheet after the lesson.
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Transformations
Tenth graders recognize, perform and derive rules for basic transformations including translation, reflection and rotation. They also consider compositions, a combination of two or more basic transformations. Students explore both...
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Houses
Third graders use a number of problem solving strategies in this unit of lessons. They determine how to draw and model three-dimensional objects, use co-ordinate systems, determine probability of events, and identify paths of simple...
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Wing Shapes and Areas
Students, after reading the explanation given below, use FoilSim to determine the weight of the aircraft that can be lifted by a pair of wings of each type. They also design a unique platform of a wing to lift a plane weighing 11500 pounds.
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What Are Similarity Transformations, and Why Do We Need Them?
It's time for your young artists to shine! Learners examine images to determine possible similarity transformations. They then provide a sequence of transformations that map one image to the next, or give an explanation why it is...
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Similarity
Learn similarity through a transformations lens! Individuals examine the effects of transformations and analyze the properties of similarity, and conclude that any image that can be created through transformations is similar. The...
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Rotations
Searching for a detailed lesson to assist in describing rotations while keeping the class attentive? Individuals manipulate rotations in this application-based lesson depending on each parameter. They construct models depending on the...
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Reflections
Facilitate creativity in your math class as individuals learn the definition of a geometric reflection and correctly construct a model, as well as its reflected image. They use a perpendicular bisector and circles to elaborate on...
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Properties of Similarity Transformations
You can explain it, but can you do it? After learners view a sequence of transformations, the next logical step is creating the transformation. Challenge your classes to construct a composition of transformations and verify the...
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Translations
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
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Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
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NUMB3RS Activity: Regular Ploygon Centroids
Students investigate geo-profiling. In this secondary mathematics lesson, students use geo-profiling to determine the most probable location of a criminal. Students find the centroid of a polygon where the vertices represent...
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Perimeter & Area Worksheet I
In this perimeter and area worksheet, students find the perimeter and area of regular polygons. They identify the perimeter and area of polygons such as triangles, trapezoids, circles, rectangles, and parallelograms. Students write the...
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Perimeter and Area Worksheet II
In this perimeter and area worksheet, students find the perimeter and area of polygons. They use the proper formula to find the perimeter and area of circles, parallelograms, triangles, and rectangles. Students complete solve ten problems.
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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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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.