In "Word Problems" students will learn to: express word problems as number sentences, solve word problems involving addition, subtraction, multiplication, and division of whole numbers.

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 course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.

Teacher's Guide to accompany the video "NASA Connect. Better Health from Space to Earth." Guide includes teaching strategies and lesson plan ideas. Video description: In Better Health From Space to Earth, students will learn about the importance of good nutrition and exercise. They will investigate what we can learn in space about our bodies here on Earth. Students will see how researchers and scientists apply the mathematics concepts of measurement and estimation to study the loss of calcium in bones and the loss of muscle mass while astronauts are living and working in space.

Teacher's Guide to accompany the video "NASA Connect. Geometry of Exploration: Eyes Over Mars." Guide includes teaching strategies and lesson plan ideas. Video description: Students examine how the principles of geometry and linear and angular measurements are used to survey and map the Earth and other planets. A surveyor explains how locations like football or soccer fields and describes the tools and techniques used.

Teacher's Guide to accompany the video "NASA Connect. Virtual Earth." Guide includes teaching strategies and lesson plan ideas. Video description: In Virtual Earth, students will be introduced to Earth system science. They will learn what a system is and how to apply the concept of systems to learn more about how the Earth functions. Students will understand the only way to really comprehend the workings of our planet is to look at the Earth as a whole system.

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...

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 the (elliptical) orbit of a planet around the sun: The sun is at point $A$, point $P$ is where the planet is closest to the sun d...

This is an Interactive Nearpod that introduces students to the Pythagorean Theorem. It helps students identify the legs and the hypotenuse of a right triangle. It also helps students understand how to find the length of the missing side.

This task applies geometric concepts, namely properties of tangents to circles and of right triangles, in a modeling situation. The key geometric point in this task is to recognize that the line of sight from the mountain top towards the horizon is tangent to the earth. We can then use a right triangle where one leg is tangent to a circle and the other leg is the radius of the circle to investigate this situation.

The coffee cooling experiment is a popular example of an exponential model with immediate appeal. The model is realistic and provides a good context for students to practice work with exponential equations.

The primary purpose of this task is to illustrate that the domain of a function is a property of the function in a specific context and not a property of the formula that represents the function. Similarly, the range of a function arises from the domain by applying the function rule to the input values in the domain. A second purpose would be to illicit and clarify a common misconception, that the domain and range are properties of the formula that represent a function.

This task has students experiment with the operations of addition and multiplication, as they relate to the notions of rationality and irrationality.

This high level task is an example of applying geometric methods to solve design problems and satisfy physical constraints. This task is accessible to all students. In this task, a typographic grid system serves as the background for a standard paper clip.

This task assumes students have an understanding of the relationship between functions and equations. Using this knowledge, the students are prompted to try to solve equations in order to find the inverse of a function given in equation form: when no such solution is possible, this means that the function does not have an inverse.

This song helps students understand the difference between parallel, perpendicular, and intersecting lines. It even has actions that students can learn.

Explore our ever-growing library of math songs at https://www.numberock.com.