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An Exercise in Precision

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An Exercise in Precision

This video provides an example of building intellectual need for students. Why do naming conventions matter? Because it's extremely difficult to talk about points with names for each of them.
 

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Angle Bisector and Perpendicular at a Point

Resource:
Angle Bisector and Perpendicular at a Point

The last construction lesson in the series is for the Angle Bisector.  I struggled with the scaffold to get students to make the first arc on the page.  After they made the arc, the rest of the page was achievable by all.  I was especially impressed with how easy it was to transition from the first construction to the second for students.

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Basic Geometry Definitions

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Basic Geometry Definitions

Included are a series of interactive notebook pages that use the Frayer model with examples and counter-examples to help students understand the following definitions: line, ray, segment, parallel, perpendicular, skew, midpoint, angle bisector, perpendicular bisector, collinear points, coplanar points, complementary angles, right angles, acute angles, obtuse angles, supplementary angles, linear pair, and vertical angles.  I have also added my Word version of a Frayer template.

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Circle Diagrams to Lengths of Segments

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Circle Diagrams to Lengths of Segments

Use visual representations of circle diagrams to justify that congruent segments have equal measure.

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Comparing Angles #1

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Comparing Angles #1

Use the structure of the grid to help learn how to compare angle size.

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Comparing Angles #2

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Comparing Angles #2

Use the structure of the grid to help learn how to compare angle size.

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Comparing Angles #3

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Comparing Angles #3

Use the structure of the grid and construction markers to learn how to compare angle size.

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Construction Puzzles

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Construction Puzzles

This website has a sequence of construction challenges that are done in an online platform using only two tools, constructing a circle and drawing (or extending) a line segment. This could be an excellent supplemental or homework resource. The challenges are addictive and quickly lead to fluency with constructions.

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Constructions

Resource:
Constructions

Over the past few years, I have created videos and interactive notebook pages for all of the typical constructions that we teach.  The attached resource has all for your perusal.

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Constructions and Angles in Polygons

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Constructions and Angles in Polygons

Match representations of angle constructions to resulting shapes by connecting to what students know about polygons or chunking both constructions and the polygons to focus on side-angle or side-side relationships.

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Constructions to Bisectors

Resource:
Constructions to Bisectors

Students will be able to identify the key points created by constructing 2 circles. Students will explore the relationship between the size of constructed circles, the distance between them, and the way that the segment between the centers is cut.

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Copy Angle/Parallel Line through a Point

Resource:
Copy Angle/Parallel Line through a Point

Continuing in a series of construction lessons, I created a worksheet for Copying an Angle and Parallel through a point. (an application of copying an angle.)  Before this lesson, students need to understand that an angle is the measure of an arc between the two rays.  Even with this information, the lesson needs scaffolds in place to get them to understand that it is the same radius arc and the length of that arc is the same as well.  

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