This resource requires students to present the solution to a multi-step problem …

This resource requires students to present the solution to a multi-step problem in the form of valid chains of reasoning, using symbols appropriately. Students must use the four operations with whole numbers to solve problems.

This lesson unit is intended to help students judge the accuracy of …

This lesson unit is intended to help students judge the accuracy of two different approximations to a particular linear relationship. Students will compare two linear functions as approximations to the relationship between Celsius and Fahrenheit temperature and consider under what circumstances each of the approximations may be reasonable.

This task examines the ways in which the plane can be covered …

This task examines the ways in which the plane can be covered by regular polygons in a very strict arrangement called a regular tessellation. These tessellations are studied here using algebra, which enters the picture via the formula for the measure of the interior angles of a regular polygon (which should therefore be introduced or reviewed before beginning the task). The goal of the task is to use algebra in order to understand which tessellations of the plane with regular polygons are possible.

This task provides a simple but interesting and realistic context in which …

This task provides a simple but interesting and realistic context in which students are led to set up a rational equation (and a rational inequality) in one variable, and then solve that equation/inequality for an unknown variable.

This course is designed to introduce students who wish to specialize in …

This course is designed to introduce students who wish to specialize in stress analysis of thin-walled structures to more advanced topics such as the analysis of statically indeterminate structures, warping, constraint stresses, shear diffusion, and elements of plate bending.

A work in progress, CK-12's Algebra I Second Edition is a clear …

A work in progress, CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.

CK-12 Foundation's Basic Algebra FlexBook is an introduction to the algebraic topics …

CK-12 Foundation's Basic Algebra FlexBook is an introduction to the algebraic topics of functions, equations, and graphs for middle-school and high-school students.

This site teaches High Schoolers how to create equations through a series …

This site teaches High Schoolers how to create equations through a series of 298 questions and interactive activities aligned to 5 Common Core mathematics skills.

"Students connect polynomial arithmetic to computations with whole numbers and integers. Students …

"Students connect polynomial arithmetic to computations with whole numbers and integers. Students learn that the arithmetic of rational expressions is governed by the same rules as the arithmetic of rational numbers. This unit helps students see connections between solutions to polynomial equations, zeros of polynomials, and graphs of polynomial functions. Polynomial equations are solved over the set of complex numbers, leading to a beginning understanding of the fundamental theorem of algebra. Application and modeling problems connect multiple representations and include both real world and purely mathematical situations.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

In earlier modules, students analyze the process of solving equations and developing …

In earlier modules, students analyze the process of solving equations and developing fluency in writing, interpreting, and translating between various forms of linear equations (Module 1) and linear and exponential functions (Module 3). These experiences combined with modeling with data (Module 2), set the stage for Module 4. Here students continue to interpret expressions, create equations, rewrite equations and functions in different but equivalent forms, and graph and interpret functions, but this time using polynomial functions, and more specifically quadratic functions, as well as square root and cube root functions.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

This site teaches Reasoning with Equations and Inequalities to High Schoolers through …

This site teaches Reasoning with Equations and Inequalities to High Schoolers through a series of 5909 questions and interactive activities aligned to 36 Common Core mathematics skills.

This lesson is one to two hours long. It assumes students have …

This lesson is one to two hours long. It assumes students have already learned the basics of molecules and atoms. Using manipulatives, students learn what a balanced equation looks like and how to balance an equation. Additional links are included.There is a teacher plan and a student handout.Materials: colored marshmallows/gumdrops/paper circles (at least 4 colors), toothpicks or spaghetti sticks, napkins optional.

This task presents a simple but mathematically interesting game whose solution is …

This task presents a simple but mathematically interesting game whose solution is a challenging exercise in creating and reasoning with algebraic inequalities. The core of the task involves converting a verbal statement into a mathematical inequality in a context in which the inequality is not obviously presented, and then repeatedly using the inequality to deduce information about the structure of the game.

The emphasis in this task is on the progression of equations, from …

The emphasis in this task is on the progression of equations, from two that involve different values of the sales tax, to one that involves the sales tax as a parameter. It is designed to foster the habit of looking for regularity in solution procedures, so that students don't approach every equation as a new problem but learn to notice familiar types.

In CK-12 Middle School Math Concepts – Grade 8, the learning content …

In CK-12 Middle School Math Concepts – Grade 8, the learning content is divided into concepts. Each concept is complete and whole providing focused learning on an indicated objective. Theme-based concepts provide students with experiences that integrate the content of each concept. Students are given opportunities to practice the skills of each concept through real-world situations, examples, guided practice and explore more practice. There are also video links provided to give students an audio/visual way of connecting with the content.

In this lesson, students complete real-world calculations related to residential solar energy …

In this lesson, students complete real-world calculations related to residential solar energy use, including the number of solar panels needed to power the average house and how many solar panels could fit on their own home or a local building.

Step 1 - Inquire: Students complete calculations to determine if the average American home could be powered using solar panels.

Step 2 - Investigate: Students explore the Google Project Sunroof site and use data on their home address to solve problems.

Step 3 - Inspire: Students discuss the benefits and drawbacks to using solar energy and explore equity issues related to the affordability of solar panels.

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