In this lesson, toothpick patterns are used to explore growth patterns. Students are asked to extend patterns using toothpicks, drawing, and numbers. By observing patterns, students will strengthen their ability to represent real-world patterns to the abstract language of algebra.

Students use their senses to describe what the weather is doing and predict what it might do next. After gaining a basic understanding of weather patterns, students act as state park engineers and design/build "backyard weather stations" to gather data to make actual weather forecasts.

Students create projects that introduce them to Arduino—a small device that can be easily programmed to control and monitor a variety of external devices like LEDs and sensors. First they learn a few simple programming structures and commands to blink LEDs. Then they are given three challenges—to modify an LED blinking rate until it cannot be seen, to replicate a heartbeat pattern and to send Morse code messages. This activity prepares students to create more involved multiple-LED patterns in the Part 2 companion activity.

In the companion activity, students experimented with Arduino programming to blink a single LED. During this activity, students build on that experience as they learn about breadboards and how to hook up multiple LEDs and control them individually so that they can complete a variety of challenges to create fun patterns! To conclude, students apply the knowledge they have gained to create LED-based light sculptures.

Students create and decorate their own spectrographs using simple materials and holographic diffraction gratings. A holographic diffraction grating acts like a prism, showing the visual components of light. After building the spectrographs, students observe the spectra of different light sources as homework.

Meet San Francisco artist Sirron Norris, who discusses his public and commercial art projects. Although he works on projects like "Bob's Burgers," he still makes time to teach a cartoon-drawing class for kids every Saturday. He says that the best part about drawing cartoons is that there's no expectations. He teaches the children this, and that as long as they are proud of what they've created, then what they've created is perfect.

Students write poems using rhyme and meter as they come to understand the mechanical concept of rhythm, based on the principle of oscillation, in a broader biological and cultural context, as seen in dance and sports, poetry and other literary forms, and communication in general. Note: The literacy activities for the Mechanics unit are based on physical themes that have broad application to our experience in the world — concepts of rhythm, balance, spin, gravity, levity, inertia, momentum, friction, stress and tension.

In this video segment from Cyberchase, the CyberSquad must get into a vault before Hacker, Buzz and Delete by cracking a code of shapes and numbers.

Students discover the mathematical constant phi, the golden ratio, through hands-on activities. They measure dimensions of "natural objects"—a star, a nautilus shell and human hand bones—and calculate ratios of the measured values, which are close to phi. Then students learn a basic definition of a mathematical sequence, specifically the Fibonacci sequence. By taking ratios of successive terms of the sequence, they find numbers close to phi. They solve a squares puzzle that creates an approximate Fibonacci spiral. Finally, the instructor demonstrates the rule of the Fibonacci sequence via a LEGO® MINDSTORMS® NXT robot equipped with a pen. The robot (already created as part of the companion activity, The Fibonacci Sequence & Robots) draws a Fibonacci spiral that is similar to the nautilus shape.

Using the LEGO® NXT robotics kit, students construct and program robots to illustrate and explore the Fibonacci sequence. Within teams, students are assigned roles: group leader, chassis builder, arm builder, chief programmer, and Fibonacci verifier. By designing a robot that moves based on the Fibonacci sequence of numbers, they can better visualize how quickly the numbers in the sequence grow. To program the robot to move according to these numbers, students break down the sequence into simple algebraic equations so that the computer can understand the Fibonacci sequence.

Students' eyes are opened to the value of creative, expressive and succinct visual presentation of data, findings and concepts. Student pairs design, redesign and perform simple experiments to test the differences in thermal conductivity (heat flow) through different media (foil and thin steel). Then students create visual diagrams of their findings that can be understood by anyone with little background on the subject, applying their newly learned art vocabulary and concepts to clearly communicate their results. The principles of visual design include contrast, alignment, repetition and proximity; the elements of visual design include an awareness of the use of lines, color, texture, shape, size, value and space. If students already have data available from other experiments, have them jump right into the diagram creation and critique portions of the activity.

Do you like to paint? Watch this step by step video as artist Kristin Farr demonstrates how to paint your very own "Magic Hecksagon," which is a colorful, geometric design inspired by folk art. She uses a plethora of different colors to bring a sense of motion to her work. Watch and learn more in the interview with Kristin Farr: http://youtu.be/OX1r-3-VK-0

Students apply several methods developed to identify and interpret patterns to the identification of fingerprints. They look at their classmates' fingerprints, snowflakes, and "spectral fingerprints" of elements. They learn to identify each image as unique, yet part of a group containing recognizable similarities.

Students use the spectrographs from the "Building a Fancy Spectrograph" activity to gather data about light sources. Using their data, they make comparisons between different light sources and make conjectures about the composition of a mystery light source.

Students learn how using spectrographs helps people understand the composition of light sources. Using simple materials including holographic diffraction gratings, students create and customize their own spectrographs just like engineers. They gather data about different light sources, make comparisons between sources and theorize about their compositions. Before building spectrographs, students learn and apply several methods to identify and interpret patterns, specifically different ways of displaying visual spectra. They also use spectral data from the Cassini mission to Saturn and its moon, Titan, to determine the chemical composition of the planet's rings and its moon's atmosphere.

Meet Bay Area artist Mike Shine, who discusses his carnival-inspired paintings, and his recent large-scale stencil murals. He makes art for people to enjoy, both superficially and in depth, and condemns much of modern art because of the context needed for interpretation. He wants his art to be able to be interpreted, regardless of how it is interpreted. He wants it to transcend cultural and language barriers. Check out how his art is made in this video.

Students use authentic spectral data from the Cassini mission of Saturn and Saturn's moon, Titan, gathered by instrumentation developed by engineers. Taking these unknown data, and comparing it with known data, students determine the chemical composition of Saturn's rings and Titan's atmosphere.

Students use the spectrograph from the "Building a Fancy Spectrograph" activity to gather data about different light sources. Using the data, they make comparisons between the light sources and make conjectures about the composition of these sources.

Students learn the value of writing and art in science and engineering. They acquire vocabulary that is appropriate for explaining visual art and learn about visual design principles (contrast, alignment, repetition and proximity) and elements (lines, color, texture, shape, size, value and space) that are helpful when making visual aids. A PowerPoint(TM) presentation heightens students' awareness of the connection between art and engineering in order to improve the presentation of results, findings, concepts, information and prototype designs. Students also learn about the science and engineering research funding process that relies on effective proposal presentations, as well as some thermal conductivity / heat flow basics including the real-world example of a heat sink which prepares them for the associated activity in which they focus on creating diagrams to communicate their own collected experimental data.