Da Vinci Algebra 1 / VPA (UCCI)
This double course develops fluency in Algebra 1 concepts through integration with art and design. Algebra 1 and Design Media Arts are linked and team-taught, alternating between mathematics and hands-on applications. In California, this VPA course is automatically approved for “f” (fine arts) under the UCCI Program if students are simultaneously enrolled in the paired, integrated math course. Schools may adopt this course to their a-g course lists as a Previously Approved course. For more info, click here.
Curriculum Link: http://ucci.ucop.edu/integrated-courses/da-vinci-algebra-vpa.html Author: Spring 2010 University of California Curriculum Integration (UCCI) Institute
Expected Student Outcomes/Objectives
Upon completion of Da Vinci Algebra 1-VPA, students experience and gain breadth and depth of understanding of fundamental algebraic concepts and standards integrated with a multimedia art perspective and approach. It recognizes the elemental connections between mathematics and art and allows students to consistently communicate their comprehension. Students demonstrate mastery in proportions, linear and quadratic relationships and systems, rational and irrational equations, problem solving, functions, and exponentials.
The course integrates and relates artistic and media fundamentals such as design, composition, color, perspective, space, and anatomy. Students create an electronic and physical portfolio that allows them to communicate and record their understandings of the mathematics and art topics both individually and relationally. Through this method, students will be introduced to the appreciation and beauty of both disciplines.
Description of Activities
Unit 1: Scaling Images and Murals - Ratios, Algebraic Expressions Students develop a working understanding of ratios, percents, and proportions by solving both computationally and conceptually challenging rational problems. Using the computed ratios, students scale a mural design using colored pencils and grid structures
Unit 2: One-Point Perspective: Using the lines that occur naturally in one-point perspective, students will identify and model linear relationships both algebraically and graphically.
Unit 3: The Human Body and Quadratic Equations: Students identify, represent, and manipulate rational and quadratic models by using specific parts of the human body from drawings by Da Vinci.
Unit 4: Photography and Graphic Design: Students will apply linear and absolute value functions to the mechanics of pinhole cameras and the manual use of digital cameras.
Unit 5: Elements of Design and Algebra: Students will refine and deepen their understanding of key concepts in both algebra and art. Students will identify their own areas of strength and areas that need reinforcement.
Unit 6: Marketing: Students will analyze cost, base line operating costs, and profit margin in the art industry using systems of equations and exponential growth and decay. Students will learn about the impact of artistic message, marketing, and the media.
Unit 7: Electronic Portfolio: This unit is designed for students to self-assess their algebraic mastery and artistic understanding through demonstration of their portfolio and digital media presentation.
Culminating Activity and/or Assessment
Unit 8: Two-Point Perspective: Through a final culminating project, students apply and demonstrate theoretic algebraic concepts acquired throughout the course. Students revisit perspective drawing, producing an artistic work which uses two-point perspective. Students discuss both the mathematical and artistic elements of these works bridging from algebra into initial geometric concepts.
Instructional Materials Provided
Course outline including objectives and key assignments for each unit.
Curriculum type: Course
Academic subject areas: Visual and Performing Arts; Mathematics
States' Career Clusters: Arts, Audio-Video Technology, Communications
California Industry sector(s): Arts, Media, and Entertainment
Duration: double course for 1 year
Grade Targets: 9, 10
Levels of Expertise for CTE: Concentration/Skill building, Introductory
Targeted Support Materials: Administrator support, Industry Involvement
Standards Addressed: Detailed documentation of alignment with Common Core, NGSS, C3 or CTE Standards provided
Source: Teacher created
Organization/Publisher: University of California Curriculum Institute (UCCI)
Usage Restrictions: The two courses, DaVinci Algebra 1 and DaVinci Algebra 1-VPA must be taken in tandem.
Curriculum Link: http://ucci.ucop.edu/integrated-courses/da-vinci-algebra-vpa.html
Related Website(s): http://www.ucop.edu/ucci/integ_courses.html