In this instructional task students are given two inequalities, one as a formula and one in words, and a set of possible solutions. They have to decide which of the given numbers actually solve the inequalities.

Mathematically Productive Instructional Routines (MPIR) are short (10ish minutes), daily exercises aimed at building number sense. These six different MPIR are part of the Mathematically Productive Instructional Routines collection from the Washington Office of Public Instruction and the Washington Association of Educational Service Districts.

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 short video and interactive assessment activity is designed to teach third graders about mixed review (numbers up to 100,000).

This activity from Nrich mathematics encourages students to explore combinations and patterns systematically.

Students will predict bond polarity using electron negativity values; indicate polarity with a polar arrow or partial charges; rank bonds in order of polarity; and predict molecular polarity using bond polarity and molecular shape.

This lesson covers the topic of muscles. Students learn about the three different types of muscles in the human body and the effects of microgravity on muscles. Students also learn how astronauts need to exercise in order to lessen muscle atrophy in space. Students discover what types of equipment engineers design to help the astronauts exercise while in space.

This short video and interactive assessment activity is designed to teach fourth graders about distance between items.

Natural Resources Biometrics begins with a review of descriptive statistics, estimation, and hypothesis testing. The following chapters cover one- and two-way analysis of variance (ANOVA), including multiple comparison methods and interaction assessment, with a strong emphasis on application and interpretation. Simple and multiple linear regressions in a natural resource setting are covered in the next chapters, focusing on correlation, model fitting, residual analysis, and confidence and prediction intervals. The final chapters cover growth and yield models, volume and biomass equations, site index curves, competition indices, importance values, and measures of species diversity, association, and community similarity.

Students expand upon their understanding of simple machines with an introduction to compound machines. A compound machine a combination of two or more simple machines can affect work more than its individual components. Engineers who design compound machines aim to benefit society by lessening the amount of work that people exert for even common household tasks. This lesson encourages students to critically think about machine inventions and their role in our lives.

In this activity, students will show their understanding of making numbers using base 10 blocks. The Number Pieces App allows students to manipulate base 10 blocks electronically to show their understanding of counting concepts.

In this unit, students will learn how to use diagrams, pictures, and other representations to solve number stories, using two operations and involving multiples of equal groups.

Challenging math problems worth solving.

The name “Open Middle” might sound like a strange name for a website about math problems. However, it references a very specific type of problem we try to encourage here. Most of the problems on this site have:
* a “closed beginning” meaning that they all start with the same initial problem.
* a “closed end” meaning that they all end with the same answer.
* an “open middle” meaning that there are multiple ways to approach and ultimately solve the problem.

Open middle problems generally require a higher Depth of Knowledge than most problems that assess procedural and conceptual understanding. They support the Common Core State Standards and provide students with opportunities for discussing their thinking.

This stand-alone module intends to provide some motivation for studying organic chemistry. The topics touch briefly on some basic organic chemistry topics and focus on various organic compounds that readers would encounter in everyday life.

This short video and interactive assessment activity is designed to teach third graders about division patterns within the multiplication table.

In this Nrich activity, students explore combinations in a situation with constraints. The combinations are complicated by sets and subsets. The situation uses a Venn Diagram.

Precalculus (was College Algebra) is an introductory text. The material is presented at a level intended to prepare students for Calculus while also giving them relevant mathematical skills that can be used in other classes. The authors describe their approach as "Functions First," believing introducing functions first will help students understand new concepts more completely. Each section includes homework exercises, and the answers to most computational questions are included in the text (discussion questions are open-ended). Graphing calculators are used sparingly and only as a tool to enhance the Mathematics, not to replace it. Note: this book was updated on the BC Open textbook Project site on February, 17, 2015 to include the version of the textbook with chapters on Trigonometry.

Forecasting is the ultimate form of model validation. But even if a perfect model is in hand, imperfect forecasts are likely. This course will cover the factors that limit our ability to produce good forecasts, will show how the quality of forecasts can be gauged a priori (predicting our ability to predict!), and will cover the state of the art in operational atmosphere and ocean forecasting systems.