An authentic opportunity where students use math to create art.

This interdisciplinary unit increases student awareness of business, art, culture, technology and math. Students will use writing skills as they prepare a presentation of the information they have learned and script their podcast. As students communicate with their partners and create their audio recording they will participate in mathematical discourse. This unit involves 21st century skills of collaboration, creativity, authentic audience and problem solving.

Common Core Math Standards

CCSS.MATH.CONTENT.HSF.BF.B.3 Identify the effect on the graph of replacing f(x) by f(x) + k,kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology

CCSS.MATH.CONTENT.HSG.MG.A.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*

CCSS.MATH.CONTENT.HSG.MG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*

CCSS.MATH.CONTENT.HSG.GPE.A.1Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

CCSS.MATH.CONTENT.HSG.GPE.A.3 (+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

National Core Art Standards

Generate and conceptualize artistic ideas and work

Organize and develop artistic ideas and work.

Refine and complete artistic work.

ISTE Standards

Creativity & Innovation

Apply existing knowledge to generate new ideas, products, or processes

Create original works as a means of personal or group expression

Use models and simulations to explore complex systems and issues

Communication and Collaboration

Interact, collaborate, and publish with peers, experts, or others employing a variety of digital environments and media

Communicate information and ideas effectively to multiple audiences using a variety of media and formats.

Research and Information Fluency

Locate, organize, analyze, evaluate, synthesize, and ethically use information from a variety of sources and media

Evaluate and select information sources and digital tools based on the appropriateness to specific tasks

Critical thinking and problem solving

Plan and manage activities to develop a solution or complete a project

## Standards

## An authentic opportunity where students use math to create art.

## This interdisciplinary unit increases student awareness of business, art, culture, technology and math. Students will use writing skills as they prepare a presentation of the information they have learned and script their podcast. As students communicate with their partners and create their audio recording they will participate in mathematical discourse. This unit involves 21st century skills of collaboration, creativity, authentic audience and problem solving.

## Common Core Math Standards

Identify the effect on the graph of replacing

f(x) byf(x) +k,kf(x),f(kx), andf(x+k) for specific values ofk(both positive and negative); find the value ofkgiven the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technologyUse geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*

Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).*

(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

## National Core Art Standards

## ISTE Standards

Creativity & InnovationCommunication and CollaborationResearch and Information FluencyCritical thinking and problem solving