This lesson unit is intended to help teachers assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions. It will help teachers to identify and support students who have difficulty in: recognizing the order of algebraic operations; recognizing equivalent expressions; and understanding the distributive laws of multiplication and division over addition (expansion of parentheses).

The purpose of this task is to give students practice in reading, analyzing, and constructing algebraic expressions, attending to the relationship between the form of an expression and the context from which it arises. The context here is intentionally thin; the point is not to provide a practical application to kitchen floors, but to give a framework that imbues the expressions with an external meaning.

This module provides an overview of Grafton School District's secondary math curriculum selection process.

After their carts collide in a hardware store, two teachers discover that they both bought the same items in different quantities. With limited information, this segment demonstrates how to use an equation to determine the cost of each item.

This is a communication intensive supplement to Linear Algebra (18.06). The main emphasis is on the methods of creating rigorous and elegant proofs and presenting them clearly in writing.

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines such as physics, economics and social sciences, natural sciences, and engineering.

Students use latex tubes and bicycle pumps to conduct experiments to gather data about the relationship between latex strength and air pressure. Then they use this data to extrapolate latex strength to the size of latex tubing that would be needed in modern passenger sedans to serve as hybrid vehicle accelerators, thus answering the engineering design challenge question posed in the first lesson of this unit. Students input data into Excel spreadsheets and generate best fit lines by the selection of two data points from their experimental research data. They discuss the y-intercept and slope as it pertains to the mathematical model they generated. Students use the slope of the line to interpret the data collected. Then they extrapolate with this information to predict the latex dimensions that would be required for a full-size hydraulic accumulator installed in a passenger vehicle.

This task asks students to consider the linear and quadratic functions appearing on a coordinate plane.

This lesson unit is intended to help teahcers assess how well students are able to interpret speed as the slope of a linear graph and translate between the equation of a line and its graphical representation.

In this unit plan, primary learners explore the five models of subtraction (counting, sets, number line, balanced equations, and inverse of addition) using concrete (links), pictorial, and verbal representations to develop an understanding of symbolic notations. Students also investigate fact families, including those where one addend is 0 and where the addends are alike and also learn that the order (commutative) property) does not hold for subtraction. A brief bibliography of related books for children is provided. Instead of using hands on manipulatives and balances, links to Java applets: Pan Balance-Shapes and Pan Balance-Numbers ( both cataloged separately) are included. Instructional plan, questions for the students, assessment options, extensions,and teacher reflections are given for each lesson as well as links to down load all student resources.

You are a material scientist who just crash-landed on an abandoned mining planet. You’re out of fuel, and your suit’s oxygen is running low. You need to mine enough fuel to power your ship, or you won’t survive.

You stumble into the old mining facility. That’s where you meet MAL, the mine’s Artificial Intelligence, who is thrilled to have someone to talk to. With MAL’s help, you’ll build scientific models to predict if you’re mining fast enough and what you need to do next.

Each level puts the student in the role of the scientific modeler. Students will set up equations, work with graphs, input data, and use models to make predictions. Along the way, as obstacles keep popping up, students will experience how models are used as a tool to make decisions.

Note: For best compatibility, use Chrome.

Use Lost at the Forever Mine to introduce units on graphing or scientific modeling. The game was designed to help kids experience the need for math to make predictions. This story-based game gives a context to why graphing, math equations, and collecting data can help us solve problems.

Try introducing a unit with this game. Let the kids figure out how the game works with little introduction. Remember, struggling to figure it out is part of the process. Games are safe places for struggle and failure to become part of the fun.

This is a monthly overview for Algebra 1 for semester 1 and semester 2 course.

This is a guide breaking down the curriculum into six critical areas including the critical understandings, common core state standards, and essential concepts within each critical area.

Students measure the relative intensity of a magnetic field as a function of distance. They place a permanent magnet selected distances from a compass, measure the deflection, and use the gathered data to compute the relative magnetic field strength. Based on their findings, students create mathematical models and use the models to calculate the field strength at the edge of the magnet. They use the periodic table to predict magnetism. Finally, students create posters to communicate the details their findings. This activity guides students to think more deeply about magnetism and the modeling of fields while practicing data collection and analysis. An equations handout and two grading rubrics are provided.

In this lesson for grades 3, 4 and 5, students participate in activities in which they focus on patterns and relations that can be developed from the exploration of balance, mass, length of the mass arm, and the position of the fulcrum. The focus of this lesson is determining the position necessary to balance uneven objects and the effect on balance of moving the fulcrum. Printable activity sheets, ideas for implementation and extension are included.

In this lesson students find and record addends that sum to ten in three different activities, using ten frames, linking cubes, two-sided counters, and a concentration game. The lesson includes suggestions for assessment and extension, reflection questions for students and teachers, links to related resources, and printable materials (pdf).

How a middle-school math teacher realized she was boring and jump-started her career -- and her students.

Students obtain a basic understanding of microfluidic devices, how they are developed and their uses in the medical field. After conducting the associated activity, they watch a video clip and learn about flow rate and how this relates to the speed at which medicine takes effect in the body. What they learn contributes to their ongoing objective to answer the challenge question presented in lesson 1 of this unit. They conclude by solving flow rate problems provided on a worksheet.