Class

Topics Studied

In-class Investigations and Homework

Out of class write-ups (Portfolio Options)

 

1

Points, Lines, Segments, Rays & Angles, Simple Closed Curves, Special Pairs, Transversal, Intersecting Lines, Parallel, & Perpendicular Lines, Constructions, Intro to technology/GSP Initial basic investigation

Review Terminology

Practice Constructions (click here for steps)

We will have a quiz tomorrow on 1 construction and definitions

Intro to GSP (Click here for the Quad. Lab). You can complete this Investigation as a portfolio entry

p. 3 - 19, 25, 26 (EG). Make sure to play around with each of the 11 investigations. Save your work for pgs. 13, 14, and 15.

Click here for the Write-Up Template

2 & 3

Triangle Properties, Constructions, Altitudes, Perpendicular Bisector, Medians, Constructing Triangle Centers (folding, compass and s.e.. and gsp), Triangle Inequality Theorem, Triangle Similarity & Congruence, Midsegment Theorem, Area and Perimeter, Pythagorean Theorem

Classified Triangles by side length and angle (see Classifying Triangles Activity handout)

Constructed (paper folding & GSP) altitudes, angle bisectors, perpendicular bisectors, and medians in a variety of triangle types.

Constructed the centroid, incenter, orthocenter and circumcenter of triangles using GSP.

Day 2

in-class write up on this triangle centers investigation.

 

Day 3

in-class write -ups from
Napolean
Excircles
Medial Triagles

 

For day 2, you may select a write-up from one of the following problems from the InterMath website:

Find the Hidden Treasure

Capture the Flag

All Swimmed Out

 

On day 3 you may choose one from the following:

Biggie Size It!

Equal Areas:

Triangle Inside a Rectangle

Optimal Triangles

Triangle in a Quadrilateral

Transforming Triangle

 

4 & 5

Properties - Convex, Concave Interior & Exterior Angles, Diagonals, and Symmetry Quadrilaterals, Area and Perimeter, Constructions based on properties

 

 

In class on WednesdayÉ we worked on properties of quadrilaterals with the card sort activity. Then we constructed quadrilaterals (In class assignment/write-up). So the in class from day 4 is

8 constructions and 1 proof from the Rethinking Proof text (see class handout for p. #s

 

The day 5 in class write-up is your webpage!!

On day 4, you may select a write-up from one of the following problems from the InterMath website:

Equal Sides

Two Squares

Penning for Pony

Constructing Squares

Triangle or Square

 

On day 5, you may select a write-up from one of the following problems from the InterMath website:

Triangles in Hexagons
Medial Polygons (also look here for ideas
Apothem and Area

6 & 7

 

 

Out of Class

Tangent Along the Diameter

Intersecting Chords

Circles and Triangles

Optimizing Triangles using Radii

 

Out of Class

Walking on a Box

Integral Cubes

Same but Different