EngageNY
Secant Angle Theorem, Exterior Case
It doesn't matter whether secant lines intersect inside or outside the circle, right? Scholars extend concepts from the previous instructional activity to investigate angles created by secant lines that intersect at a point exterior...
EngageNY
Scale Drawings
Are you searching for a purpose for geometric constructions? Use an engaging approach to explore dilations. Scholars create dilations using a construction method of their choice. As they build their constructed dilation, they...
EngageNY
Proving the Area of a Disk
Using a similar process from the first lesson in the series of finding area approximations, a measurement resource develops the proof of the area of a circle. The problem set contains a derivation of the proof of the circumference...
EngageNY
Motion Along a Line – Search Robots Again
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
EngageNY
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
West Contra Costa Unified School District
Congruence Through Transformations
Transform your lesson on transformations. Learners use given congruent triangles and tracing paper to determine the single transformation that carries one to the other. The concept is extended to combinations of transformations to...
Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
Virginia Department of Education
How Many Triangles?
Something for young mathematicians to remember: the sum of any two sides must be greater than the third. Class members investigates the Triangle Inequality Theorem to find the relationship between the sides of a triangle. At the...
Willow Tree
Common Geometric Figures
Geometry could be called the study of figures. An overview of the figures found in a typical geometry course contains a study of different triangles, quadrilaterals, and regular polygons.
EngageNY
Examples of Dilations
Does it matter how many points to dilate? The resource presents problems of dilating curved figures. Class members find out that not only do they need to dilate several points but the points need to be distributed about the entire curve...
Illustrative Mathematics
Make Your Own Puzzle
Puzzling over what geometry lesson to teach next? Look no further. This simple activity teaches young mathematicians how shapes can be decomposed into smaller figures, and how smaller figures can be assembled into larger shapes. To learn...
University of Nottingham
Drawing to Scale: A Garden
See how design and geometry go hand in hand. The activity asks learners to use geometry to design a backyard garden given dimensions of each feature. Scholars work with ratios and scale to develop an accurate scale drawing that includes...
EngageNY
Fundamental Theorem of Similarity (FTS)
How do dilated line segments relate? Lead the class in an activity to determine the relationship between line segments and their dilated images. In the fourth section in a unit of 16, pupils discover the dilated line...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Rotations of 180 Degrees
What happens when rotating an image 180 degrees? The sixth lesson in the series of 18 takes a look at this question. Learners discover the pattern associated with 180-degree rotations. They then use transparency paper to perform the...
EngageNY
Unknown Area Problems on the Coordinate Plane
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
Curated OER
Transformations - Rotations in the Coordinate Plane
In this geometry activity, math scholars brainstorm examples of rotations. Using the SMARTboard, students observe a rotation. They create their own rotation using graph paper. Finally, pupils complete a worksheet and graph rotations.
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Illustrative Mathematics
3-D Shape Sort
From the apple on your desk and the coffee cup in your hand, to the cabinets along the classroom wall, basic three-dimensional shapes are found everywhere in the world around us. Introduce young mathematicians to the these common figures...
Illustrative Mathematics
Alike or Different Game
How are a circle and triangle alike? How are they different? These are the types of questions children will answer while playing this fun geometry game. Including a variety of conventional and unconventional shapes, this activity allows...
Curated OER
I Can Build It.....Yes I Can!
Kindergartners listen to a story read by their teacher, then use magnetic shape pieces to construct simple designes. They "build" their own house using pre-cut paper shapes. This age-appropriate lesson would be an excellent choice for...
Curated OER
Mirror, Mirror
Geometry students use hinged mirrors to discover that the regular polygons are composed of triangles tessellating around a center point. They sketch triangles on paper models of the regular polygons having 3 to 10 sides and compute the...
Curated OER
Run for the Cup!
Students gather information about the Melbourne Cup horse race in Australia. Then they study the geometry and physics behind the design of a racetrack. Students also work in small groups to problem solve and design their own board games...
Curated OER
Indiana Applied Skills Assessment Sample
In this Applied Skills Assessment worksheet, 5th graders complete a sample state assessment for Language Arts and Mathematics for 5th graders. They read a writing prompt and complete a writing activity that follows, answer various types...
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