This short video and interactive assessment activity is designed to teach fourth graders about completing the number patterns based on the multiplication table.

This Nrich problem starts with a simple situation which can be analyzed quickly using mental methods, but which provides a starting point for tackling a more challenging problem. The challenge can be tackled at many different levels, using trial and improvement (perhaps using spreadsheets), looking for number patterns, or with a more formal algebraic approach.

Ordering fractions can seem like quite a mundane and routine task. This Nrich problem encourages students to take a fresh look at the process of comparing fractions, and offers lots of opportunities to practice manipulating fractions in an engaging context where students can pose questions and make conjectures.

The purpose of this task is to have students work on a sequence of area problems that shows the advantage of increasingly abstract strategies in preparation for developing general area formulas for parallelograms and triangles.

This short video and interactive assessment activity is designed to teach fourth graders about finding the adjusted rate - word problems.

This short video and interactive assessment activity is designed to teach fifth graders about finding the reciprocal of fractions.

This short video and interactive assessment activity is designed to teach fourth graders about forming the largest or smallest possible number.

This Nrich task is a group activity or game. Students work to discover a rule by working together to evaluate patterns.

This Nrich problem provides a fraction-based challenge for students who already possess a good understanding of fraction addition and subtraction, and it leads to algebraic manipulation of that same process.

This lesson is about the estimation of the value of Pi. Based on previous knowledge, the students try to estimate Pi value using different methods, such as: direct physical measurements; a geometric probability model; and computer technology. This lesson is designed to stimulate the learning interests of students, to enrich their experience of solving practical problems, and to develop their critical thinking ability. To understand this lesson, students should have some mathematic knowledge about circles, coordinate systems, and geometric probability. They may also need to know something about Excel. To estimate Pi value by direct physical measurements, the students can use any round or cylindrical shaped objects around them, such as round cups or water bottles. When estimating Pi value by a geometric probability model, a dartboard and darts should be prepared before the class. You can also use other games to substitute the dart throwing game. For example, you can throw marbles to the target drawn on the floor. This lesson is about 45-50 minutes. If the students know little about Excel, the teacher may need one more lesson to explain and demonstrate how to use the computer to estimate Pi value. Downloadable from the website is a video demonstration about how to use Excel for estimating Pi.

This is a video and assessment exercise aimed at helping first graders identify incorrect subtraction.

This lesson unit is intended to help you assess how students reason about geometry and, in particular, how well they are able to: use facts about the angle sum and exterior angles of triangles to calculate missing angles; apply angle theorems to parallel lines cut by a transversal; interpret geometrical diagrams using mathematical properties to identify similarity of triangles.

The Illustrative Mathematics Project provides guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards, and by publishing other tools that support implementation of the standards.

This lesson unit is intended to help teachers assess how well students are able to use geometric properties to solve problems. In particular, it will help you identify and help students who have difficulty: decomposing complex shapes into simpler ones in order to solve a problem; bringing together several geometric concepts to solve a problem; and finding the relationship between radii of inscribed and circumscribed circles of right triangles.

This course is intended to assist undergraduates with learning the basics of programming in general and programming MATLAB in particular.

This is an activity that makes math real. The students complete some activities that show the length of a wheelchair ramp is determined using American Disabilities Act.

The learning of linear functions is pervasive in most algebra classrooms. Linear functions are vital in laying the foundation for understanding the concept of modeling. This unit gives students the opportunity to make use of linear models in order to make predictions based on real-world data, and see how engineers address incredible and important design challenges through the use of linear modeling. Student groups act as engineering teams by conducting experiments to collect data and model the relationship between the wall thickness of the latex tubes and their corresponding strength under pressure (to the point of explosion). Students learn to graph variables with linear relationships and use collected data from their designed experiment to make important decisions regarding the feasibility of hydraulic systems in hybrid vehicles and the necessary tube size to make it viable.

Reimagining mathematics instruction can be a heavy lift. Most teachers have years of traditional mathematics instruction under their belts by the time they enter their professional careers. Chapter 4 of  EL Education’s book Learning that Lasts explores two critical strategies for improving mathematics instruction—changing mindsets about mathematics; and remodeling the basic lesson structure for mathematics. This reimagination leads to mathematics instruction that is more challenging, engaging, and empowering for students as well as teachers.

The earth’s atmosphere may seem thick when compared to something like your height—but it’s surprisingly thin when compared to the earth’s radius. Here, you can find out exactly how thin, using strips of plastic to model the correctly scaled thickness of the atmosphere on a globe.