District
Curriculum Overview
Subject: Mathematics Course: 302 Transformational Geometry Grade Level: 9 – 12
Concepts
|
Topics/Units |
Content/Skills |
Essential
activities/Agreements |
|
This
course is self-paced. All students are
required to finish at least Lab 5. |
Class activities follow the
sequence of labs, while homework assignments allow students to develop and
practice skills that will be necessary for success in algebra. |
·
Fractions and
decimals appear in every unit. |
Notebook 75% Lab summaries 40% Homework 25% Tests 10% Class Participation 25%
Punctuality, preparation,
on-task behavior |
|
Analyze
the role of x and y scale factors as they affect the appearance of a shape |
Scaling |
·
Introduction to
vocabulary of the Cartesian plane ·
Plotting points |
Labs and lab summaries |
|
Analyze
the role of x and y translations as they affect the appearance of a shape |
Translating |
|
Labs and lab summaries |
|
Infer definitions from example and counterexample Apply definitions to exercises on the Cartesian
plane |
Shape Vocabulary |
·
Polygon, Convex ·
Vertices, Edges ·
Reflection/
symmetry ·
Rotational
symmetry |
Labs and lab summaries |
|
Use
angle of rotation to create designs with n-fold rotational symmetry. |
Rotation |
·
Positive versus
negative rotations ·
Equivalence mod
360 |
Labs and lab summaries |
|
Use scaling, translating,
and rotation to create tessellations on the coordinate plane |
Tiling and Congruence |
|
Labs and lab summaries |
|
Analyze the role of
horizontal and vertical shears as they affect the appearance of a shape. Use shearing and other
transformations to animate a shape. |
Shearing |
·
Introduction to
QuickBasic programming |
Labs
and lab summaries |