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: Below is a picture of a right triangle with $a$ the measure of angle $A$: Joyce knows that the sine of $a$ is the length of the side opposite $A$ divid...

Studying the Fibonacci Sequence is our entry point for studying Heredity: Inheritance and variation of traits.

This problem uses the same numbers and asks essentially the same mathematical questions as "6.NS Bake Sale," but that task requires students to apply the concepts of factors and common factors in a context.

Using an Arduino microprocessor, students will build an automated fish food feeder so fish can be fed when no one is at school?

This project involves learning how to do simple wiring of an LED, a buzzer, and a servo (motor) to a simple-to-use Arduino microprocessor.

Play with a bar magnet and coils to learn about Faraday's law. Move a bar magnet near one or two coils to make a light bulb glow. View the magnetic field lines. A meter shows the direction and magnitude of the current. View the magnetic field lines or use a meter to show the direction and magnitude of the current. You can also play with electromagnets, generators and transformers!

Light a light bulb by waving a magnet. This demonstration of Faraday's Law shows you how to reduce your power bill at the expense of your grocery bill.

Light a light bulb by waving a magnet. This demonstration of Faraday's Law shows you how to reduce your power bill at the expense of your grocery bill.

Students have the opportunity to create and interpret data from simple daily questions.

This project will be focused on designing, constructing and evaluating different containers to determine the optimal design for heat retention. After students have constructed their designs and collected and shared data, students will evaluate the class data to create an optimal design for our culminating event: warming ooey, gooey chocolate chip cookies to perfection! Through this activity, students will learn about energy transfer, engineering design process, data collection, graphing, rate of change, optimization, surface area and proportions. The students will test the effectiveness of their design using Vernier Probes to gather quantitative data and graphing the rate of temperature change. They will then create a poster presentation to share their data to the class. Students will use their mathematical skills to quantitatively analyze the strength and weaknesses of their designs while enjoying some delicious, toasty, warm cookies.

This task provides students the opportunity to make use of units to find the gas need (N-Q.1). The key point is for them to explain their choices. This task provides an opportunity for students to practice MP2, Reason abstractly and quantitatively, and MP3, Construct viable arguments and critique the reasoning of others.

This task allows students to relate addition and subtraction problems to money in a context that introduces the concept of scarcity.

We plan to facilitate several engineering lessons that requires students to design, build ROV controllers, calculate weight, underwater thrust and buoyancy.

This simple-looking problem reveals much about how well students understand unit fractions as well as representing fractions on a number line.

The purpose of this task is to have students work on a sequence of area problems that shows the advantage of increasingly abstract strategies in preparation for developing general area formulas for parallelograms and triangles.

This task asks students to find and use two different common denominators to add the given fractions. The purpose of this question is to help students realize that they can use any common denominator to find a solution, not just the least common denominator.

This task asks students to use two different denominators to subtract fractions. The purpose of this is to help students realize that any common denominator will work, not just the least common denominator.

In this task students have the opportunity to construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

This real world problem is appropriate for mental mathematics and students should be encouraged to think through the solution mentally.