The purpose of this task is to directly address a common misconception held by many students who are learning to solve equations. Because a frequent strategy for solving an equation with fractions is to multiply both sides by a common denominator (so all the coefficients are integers), students often forget why this is an "allowable" move in an equation and try to apply the same strategy when they see an expression.

This is a standard problem phrased in a non-standard way. Rather than asking students to perform an operation, expanding, it expects them to choose the operation for themselves in response to a question about structure. The problem aligns with A-SSE.2 because it requires students to see the factored form as a product of sums, to which the distributive law can be applied.

Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.

Precalculus is intended for college-level Precalculus students. Since Precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing a College Algebra and Trigonometry title tailored to the particular scope, sequence, and pedagogy of those courses.

"This interactive, online course teaches students how to make wise financial decisions to promote financial well-being over their lifetime. Through real-life scenarios, students explore complex financial concepts and gain actionable strategies for managing their finances."
7 lessons; 35 minutes each

This task is the second in a series of three tasks that use inequalities in the same context at increasing complexity in 6th grade, 7th grade and in HS algebra. Students write and solve inequalities, and represent the solutions graphically.

This task is the last in a series of three tasks that use inequalities in the same context at increasing complexity in 6th grade, 7th grade and in HS algebra. Students write and solve inequalities, and represent the solutions graphically. The progression of the content standards is 6.EE.8 to 7.EE.4 to A-REI.12.

Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form. They graph and complete problem sets for each, converting from one form of equation to another, and learning the benefits and uses of each.

This task contrasts the usefulness of four equivalent expressions. Students first have to confirm that the given expressions for the radioactive substance are equivalent. Then they have to explain the significance of each expression in the context of the situation.

Math Game Time offers a variety of games, videos, and printable worksheets tailored for K-6 and middle schoolers to enhance their math skills. With focused videos on specific topics and kid-appropriate games, it's an ideal resource for practicing math skills.

Fun Kids Online Math Games (Sheppard Software is a great resource for teachers looking for new ways to differentiate. The games offered on this site have many levels, so no matter what stage your student is at, he or she can still practice and have fun! The games are geared towards elementary and middle school students.

The content and games for this website were created with these goals in mind:
1) To add sound and visual effects to make learning fun and more memorable.
2) To design games with many difficulty levels so that players will continue to be challenged no matter how far they progress.
3) To provide games that will exercise players' brains.

NOTE: although some of the money activities are using USD, many of the activities are generic and can be used to enhance the understanding of working with money.

Play with functions while you ponder Art History. Explore geometric transformations and transform your thinking about linear functions, then have fun figuring out the mystery functions!

Amazing videos to learn most anything related to math or science (and a bit of soc). Select Playlists from the top menu to see videos grouped by topic.

This question examines the algebraic equations for three different spheres. The intersections of each pair of spheres are then studied, both using the equations and thinking about the geometry of the spheres. For two spheres where one is not contained inside of the other there are three possibilities for how they intersect.

Game Over Gopher is an exciting tower defense game that guides students in plotting coordinate pairs, differentiating negative coordinates from positive coordinates, and identifying the four quadrants. Hungry space gophers are marching towards a prize carrot, and to defend it players place tools around the coordinate grid to “feed” gophers and make them lose interest. Ruby mines (which must be placed at designated x, y coordinates) yield currency that players spend to strategically place carrot launchers, garlic rays, corn silos, and beet traps – gopher feeding tools. To introduce students to the coordinate grid, Game Over Gopher introduces new skills via interactive tutorials and uses consistent visual clues (e.g., x red, y blue) to guide players in plotting coordinates. This means it’s not necessary to teach students coordinate plotting ahead of time. As the levels progress, the number of tools available increases, the level of math vocabulary increases, the scale of the grid changes, and players are asked to expand their mastery of the grid by reflecting points across axes. The game lowers intimidation about the coordinate grid, helps students understand how positive and negative numbers reflect each other across the axes, and helps students get comfortable with the four quadrants.

This is a series of computer animations which demonstrate all the possible combinations of the ideal gas law or equation of state. Gases have various properties which we can observe with our senses, including the gas pressure, temperature, mass, and the volume which contains the gas. Careful, scientific observation has determined that these variables are related to one another and the values of these properties determine the state of the gas. In a scientific manner, we can fix any two of the four primary properties and study the nature of the relationship between the other two by varying one and observing the variation of the other. The variations are demonstrated using computer graphics in the animated gas lab.

"Shadows are corrupting the land. Restore the balance of nature by exploring place value. Gate guides students in: lowering intimidation about large numbers and
decimals, understanding the meaning of place value, and realizing that the same mathematical concepts that apply to the ""easy"" integers apply to every order of magnitude."