Geometry: Parallel and Perpendicular Lines

I have struggled with this unit for the past three years. I do a great job with the geometry side, but the algebra is really tough to handle. I'm not sure what skills my students have coming in from Algebra 1 and in my first two years I ended up bogged down reteaching. My third year, I set a schedule and limited myself to a set number of days and pushed through. I made my primary focus applying geometry on the grid and tried to make the algebra as logical and visual as possible.

These journal pages are from my second year of teaching.

Pg 1. Unit 2 Coordinate Geometry

Pg 2. Types of Slopes

 

My first attempt at teaching slope with a foldable.

Pg 3. Slope - Intercept Form

I now like to pair rise over run with fall over crawl.

 

 

Pg 4. Parallel vs. Perpendicular

 

 

 

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Geometry: Finding Distance, and Applying Coordinate Geometry to Quadrilaterals

Pg 10. Finding the Distance

 

 

This is a foldable that I wrote as a template.

Pg 11. Rectangle Analysis

FAVORITE: This is an individual project that we paced ourselves through as a class.

GEOGEBRA: We used Geogebra to graph a rectangle. This required students to be able to enter in two sets of parallel lines perpendicular to adjacent sides. Each student was required to create their own individual rectangle (no two projects were alike). This required some thinking and reworking. Once graphed, printed, and pasted, students had to justify that the shape is a rectangle. On page one, they listed the equations, intersections/ordered pairs, slopes, y-intercepts, and the parallel/perpendicular relationships.

We discussed the other critical attributes needed to justify the rectangle; they came up with midsegments and lengths of each side.

I tried my best to focus on notation, and I wish that we had written a final summary justifying the rectangle. Writing is an important component on math.

This kind of activity allows students to collaborate without copying another's work. They see multiple rectangles and help others troubleshoot.

 

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X and Y Intercepts

We touched on how to identify the x and y intercepts of a linear function.

 

 

My students were quick to identify the inverse relationships of the intercepts.

 

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