Course Outline

Unit 1: Transformational Art

Week 1 (Sept 23, Sept 25)

Objective: Students will express their personal connections to math and creativity by participating in a collaborative class project. Students will co-create our class values, norms, and expectations through a hands-on activity; We will explore math mindsets through tessellations.
Math concepts: Tessellations, rotational and reflection symmetry, math mindsets

Week 2 (Sep 30, Oct 2)

Objective: Students will examine traditional cultural artifacts to begin to develop an understanding of basic rigid motions and define a transformational approach to congruence
Math Concepts: Congruence and rigid motion transformations: translations, reflections, rotations

Week 3 (Oct 7, Oct 9)

Objective: Students will use their existing understanding of transformations to complete challenges using desmos, an advanced graphing platform. Students will work on problems related to rigid motion transformations with and without the use of a coordinate plane
Math Concepts: Sequences of transformations, coordinate geometry, angles

Week 4 (Oct 16)

Objective: Students will continue to independently practice sequences of transformations given different art forms using geometric figures and describe the process of creating them
Math Concepts: Reflection formulas, mapping, points of rotation, lines of reflection, translation vectors

Week 5: (Oct 21, Oct 23)

Objective: Students will apply geometric methods to solve design problems, given parameters to create their own unique art piece; they will work on their mini-project initial design and presentations.
Math Concepts: Reinforce concepts learned throughout the unit (congruence, rigid motion transformations, mapping)

Week 6 (Oct 28, Oct 30)

Objective: Students will begin generating patterns through coding using a visual programming language (Turtle Art)
Math Concepts: Introduction to basic coding concepts (variables, loops); patterns using loops and functions; understanding polygons, angles and distances

Week 7 (Nov 4, Nov 6)

Objective: Students will understand fractals and their appearance in natural forms and cultural designs; they will code different fractal designs using patterns, loops, and algorithms
Math Concepts: fractals, self-similarity, and recursive patterns

Week 8 (Nov 13)

Objective: Students will work on their mini-project which will involve coding a geometric design inspired by a cultural artifact learned throughout the course, explaining the process of creation and the history/meaning, followed by a presentation explaining the mathematical principles behind it.
Math Concepts: Reinforce concepts learned throughout the unit (symmetry, coding geometric patterns)

Week 9 (Nov 18, Nov 20)

Week 10 (Nov 25)

Objective: Students will learn basic 3D design skills to prepare for modeling geometric patterns using TinkerCad
Math Concepts: 3D modeling basics, scaling, precision.

Week 11: (Dec 2, Dec 4)

Objective: Choose your 3D modeling final projects and practice 3D printing
Math Concepts: Measurements, visualize relationships between two-dimensional and three-dimensional objects

Week 12: (Dec 9, Dec 11)

Objective: 3D modeling final projects, initial design, research, and preparation
Math Concepts: Reinforce concepts learned through out the course

Week 13: Presentations of learning (Dec 16, Dec 18)

Objective: Students present their projects to the class, explaining the cultural significance, mathematical principles, and technological processes involved.
Math concepts: Synthesize coding skills and mathematical concepts in a final cultural design project.

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