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.

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Use mathematics to determine what is required to beat world champion Usain Bolt in a 200-meter race. This video focuses on systems of equations that are visualized by completing a table of values and looking for a point of intersection in a set of line graphs. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.

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.

Students work with the concept of equality and balance to solve one and two-step algebraic equations.

A comparison is not the addition of two numbers, but a difference. Seeing the visual difference is the focus of this lesson.

Practicing math problems promotes great study habits. In this lesson, students will review various ways of writing and evaluating expressions.

Students will practice how to solve equations and inequalities using tables and diagrams. Lesson includes worksheets and videos to help implement this lesson.

Time to show off our skills Students will practice solving equations that is a percent problem.

Solving equations supports algebraic thinking which is needed for high school and beyond.

Solving equations supports algebraic thinking which is needed for high school and beyond.

Solving equations supports algebraic thinking which is needed for high school and beyond.

Students will translate between the written form and algebraic form using correct mathematical notation.

Students use their knowledge of algebraic expressions and equations to write expressions and equations using appropriate math symbols.

Students use substitution to find the values of equations and expressions they wrote using appropriate math symbols.

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.

CK-12 Middle School Math Concepts for seventh grade provides a complete textbook. It presents topics including algebraic thinking, patterns, decimals, decimal operations, fractions, fraction operations, integers, integer operations, ratios, rates, proportions, percents, percent applications, equations, solving equations, inequalities, functions, graphing functions, geometry, plane geometry, solid geometry, area, perimeter, surface area, volume, statistics including mean, median, mode and range, graphing and types of graphs, and probability.

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.

Students apply their knowledge of linear regression and design to solve a real-world challenge to create a better packing solution for shipping cell phones. They use different materials, such as cardboard, fabric, plastic, and rubber bands to create new “composite material” packaging containers. Teams each create four prototypes made of the same materials and constructed in the same way, with the only difference being their weights, so each one is fabricated with a different amount of material. They test the three heavier prototype packages by dropping them from different heights to see how well they protect a piece of glass inside (similar in size to iPhone 6). Then students use linear regression to predict from what height they can drop the fourth/final prototype of known mass without the “phone” breaking. Success is not breaking the glass but not underestimating the height by too much either, which means using math to accurately predict the optimum drop height.