The purpose of this task is to engage students in an open-ended modeling task that uses similarity of right triangles, and also requires the use of technology.

This problem uses the same numbers and asks similar mathematical questions as "6.NS The Florist Shop," but that task requires students to apply the concepts of multiples and common multiples in a context.

This activity helps students learn about the three different types of muscles and how outer space affects astronauts' muscles. They will discover how important it is for astronauts to get adequate exercise both on Earth and in outer space. Also, through the design of their own microgravity exercise machine, students learn about the exercise machines that engineers design specifically for astronaut use.

In this lesson, students will be amateur mycologists--collecting and analyzing various mushrooms. Through observation and discussion, students will gain knowledge of the basic anatomy of mushrooms, their life cycle, and their method of reproduction through spores. Students will learn to create spore prints of mushrooms and label and preserve their spore prints, just like a mycologist. Students also will learn that by comparing spore prints, they can identify different mushroom species.

This problem requires a comparison of rates where one is given in terms of unit rates, and the other is not.

In this group task students collect data and analyze from the class to answer the question "is there an association between whether a student plays a sport and whether he or she plays a musical instrument? "

Children are inherently musical. They respond to music and learn through music. Music expresses children’s identity and heritage, teaches them to belong to a culture, and develops their cognitive well-being and inner self worth. As professional instructors, childcare workers, or students looking forward to a career working with children, we should continuously search for ways to tap into children’s natural reservoir of enthusiasm for singing, moving and experimenting with instruments. But how, you might ask? What music is appropriate for the children I’m working with? How can music help inspire a well-rounded child? How do I reach and teach children musically? Most importantly perhaps, how can I incorporate music into a curriculum that marginalizes the arts?This book explores a holistic, artistic, and integrated approach to understanding the developmental connections between music and children. This book guides professionals to work through music, harnessing the processes that underlie music learning, and outlining developmentally appropriate methods to understand the role of music in children’s lives through play, games, creativity, and movement. Additionally, the book explores ways of applying music-making to benefit the whole child, i.e., socially, emotionally, physically, cognitively, and linguistically.

Students are introduced to the futuristic concept of the moon as a place people can inhabit. They brainstorm what people would need to live on the moon and then design a fantastic Moon colony and decide how to power it. Students use the engineering design process, which includes researching various types of energy sources and evaluating which would be best for their moon colonies.

This activity is an investigation of a "mystery material" where students have to determine whether the substance is a solid or a liquid. This activity can be done as part of an earth science or chemistry lesson.

This activity is a longer project that involves using inquiry to find out what kinds of aquatic animals live in our school pond. Students use direct observation, journaling, outdoor classroom techniques, research skills, collaboration, and service learning to learn about their question.

This poster highlights a variety of Earth science careers, featuring short biographies from 13 NASA Earth explorers, including scientists, engineers, educators and more. The poster also includes information about NASA's unique perspective on the Earth, one educator's story about how he uses NASA Earth science data and materials in his middle school classroom, and a collection of classroom activity suggestions.

The purpose of this task is for students to relate addition and subtraction problems to money and to situations and goals related to saving money.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Renee reasons as follows to solve the equation $x^2 + x + 1 = 0$. First I will rewrite this as a square plus some number. x^2 + x + 1 = \left(x+\frac{1...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: For this task, the letter $i$ denotes the imaginary unit, that is, $i=\sqrt{-1}$. For each integer $k$ from 0 to 8, write $i^k$ in the form $a+bi$. Des...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Let $z = 1 + i$ where $i^2 = -1$. Calculate $z^2, z^3,$ and $z^4$. Graph $z, z^2, z^3,$ and $z^4$ in the complex plane. What do you notice about the po...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: A small company wants to give raises to their 5 employees. They have $10,000 available to distribute. Imagine you are in charge of deciding how the rai...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Three students disagree about what value to assign to the expression $0^0$. In each case, critically analyze the student's argument. Juan suggests that...