This problem includes a percent increase in one part with a percent decrease in the remaining and asks students to find the overall percent change. The problem may be solved using proportions or by reasoning through the computations or writing a set of equations.

Climagraphs can tell us about the seasonal shifts in climate due to climate change. Changes in growing season and water balance in the Great Lakes region will have economic impacts.

It’s easy to take today’s ubiquitous colored crayons for granted, but they were the result of one individual’s innovation. Biebow introduces Edwin Binney—a mustachioed man and head of a carbon black factory—who wished to make color-pigmented wax crayons that reflected the world outside. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Think about the school/community/world in which you live and identify a problem that could be solved with a new invention.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

This lesson unit is intended to help you assess whether students recognize relationships of direct proportion and how well they solve problems that involve proportional reasoning. In particular, it is intended to help you identify those students who: use inappropriate additive strategies in scaling problems, which have a multiplicative structure; rely on piecemeal and inefficient strategies such as doubling, halving, and decomposition, and have not developed a single multiplier strategy for solving proportionality problems; and see multiplication as making numbers bigger, and division as making numbers smaller.

The Nrich problem offers opportunities to think about area, proportion and fractions, while offering an informal introduction to the mathematics of infinity and convergence which would not normally be met by younger students, to tempt their curiosity.

Using the same method for measuring friction that was used in the previous lesson (Discovering Friction), students design and conduct an experiment to determine if weight added incrementally to an object affects the amount of friction encountered when it slides across a flat surface. After graphing the data from their experiments, students can calculate the coefficients of friction between the object and the surface it moved upon, for both static and kinetic friction.

This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.

Use this activity to explore forces acting on objects, practice graphing experimental data, and introduce the algebra concepts of slope and intercept of a line. A wooden 2 x 4 beam is set on top of two scales. Students learn how to conduct an experiment by applying loads at different locations along the beam, recording the exact position of the applied load and the reaction forces measured by the scales at each end of the beam. In addition, students analyze the experiment data with the use of a chart and a table, and model/graph linear equations to describe relationships between independent and dependent variables.

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 Nrich game offers students an opportunity to practice calculating fractions and percentages of amounts.

After the Great Depression struck, Ford especially wanted to support ailing farmers. For two years, Ford and his team researched ways to use farmers’ crops in his Ford Motor Company. They discovered that the soybean was the perfect answer. Soon, Ford’s cars contained many soybean plastic parts, and Ford incorporated soybeans into every part of his life. He ate soybeans, he wore clothes made of soybean fabric, and he wanted to drive soybeans, too. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Think about the people in your community and the challenges they face. List three challenges that affect their daily life. Consider something you use every day and brainstorm how it could be repurposed or modified to address this problem.

A document is included in the resources folder that lists the complete standards-alignment for this book activity.

This site teaches Expressions and Equations to 7th graders through a series of 294 questions and interactive activities aligned to16 Common Core mathematics skills.

The true story of how Momofuko Ando was inspired to create one of the world’s most popular foods after seeing long lines of hungry people waiting for a simple bowl of ramen following World War II. He dreamed about making a new kind of ramen noodle soup that was quick, convenient, and tasty for the hungry people because he believed that peace follows from a hungry stomach. With persistence, creativity, and a little inspiration, Ando succeeded. The resource includes a lesson plan/book card, a design challenge, and copy of a design thinking journal that provide guidance on using the book to inspire students' curiosity for design thinking. Maker Challenge: Develop a food product (a new food, tool, or invention, et al) to help increase access to food in your community.

This course was originally developed for the Open Course Library project.  The text used is Math in Society, edited by David Lippman, Pierce College Ft Steilacoom.  Development of this book was supported, in part, by the Transition Math Project and the Open Course Library Project. Topics covered in the course include problem solving, voting theory, graph theory, growth models, finance, data collection and description, and probability.

Following a profile of fashion designer and Project Runway winner Chloe Dao, students are prompted to alter garment designs, using their sense of style combined with their math skills to hit target price points. Algebra concepts explored include: linear relationships; rates (percents), ratios, and proportions; using multiple representations; algebraic and numeric expressions, equations, and inequalities. Please click the Display SPL link below to view. This resource is part of the Math at the Core: Middle School Collection. Using segments and web interactives from Get the Math, this lesson helps students see how Algebra I can be applied to the world of fashion, challenging them to use algebraic concepts and reasoning to modify garments and meet target price points.

CK-12 Foundation's Middle School Math € Grade 6 Flexbook covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book's content in practical situations.

A work in progress, CK-12's Math 7 explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry.

This Nrich problem gives a clear context in which fractions, ratio and proportion can be investigated. When using the interactivity, students can develop strategies for comparing fractions or ratios while thinking about which strategies are most useful for different cases.

This problem requires a comparison of rates where one is given in terms of unit rates, and the other is not.

This Nrich question tackles proportion in a real context. It also needs systematic thinking to sort out the information and take a step-by-step route to the solution.