This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Consider three points in the plane, $P=(-4, 0), Q=(-1, 12)$ and $R=(4, 32)$. Find the equation of the line through $P$ and $Q$. Use your equation in (a...

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

: Fundamental mathematics for adult learners. Book 5 includes a Table of Contents, Glossary, Grades Records, Self Tests, Practice Tests and Unit Tests. Ancillary Resources include the Instructor's Manual. This is 1 of a series of 6 books in the ABE Math collection.

A work in progress, CK-12's Algebra I Second Edition is a clear presentation of algebra for the high school student. Topics include: Equations and Functions, Real Numbers, Equations of Lines, Solving Systems of Equations and Quadratic Equations.

CK-12 Foundation's Basic Algebra FlexBook is an introduction to the algebraic topics of functions, equations, and graphs for middle-school and high-school students.

This lab is generally the first lab for this course. It introduces students to desmos.com and helps them become familiar with it. The lab investigates the visual changes to a line as the slope and y-intercept change.

Students learn about linear programming (also called linear optimization) to solve engineering design problems. As they work through a word problem as a class, they learn about the ideas of constraints, feasibility and optimization related to graphing linear equalities. Then they apply this information to solve two practice engineering design problems related to optimizing materials and cost by graphing inequalities, determining coordinates and equations from their graphs, and solving their equations. It is suggested that students conduct the associated activity, Optimizing Pencils in a Tray, before this lesson, although either order is acceptable.

CK-12 Foundation's Algebra FlexBook is an introduction to algebraic concepts for the high school student. Topics include: Equations & Functions, Real Numbers, Equations of Lines, Solving Systems of Equations & Quadratic Equations.

Booleans are the fourth and final data type that students will learn about in this course. In this stage, students will learn about Boolean (true/false) values, and explore how they can be used to evaluate logical questions.

This film features a cross-disciplinary project which resulted from a collaboration between a mathematics teacher and an art teacher, celebrating the beauty of both fields. Although its sub-title is Making Calculus Delicious, the math featured in the book is primarily geometry and algebra, with students creating artistic interpretations of mathematical concepts and formulas. The translation of mathematics to art promoted fresh conceptual discussion and creative thinking, and inspires consideration of the elegance in mathematics.

This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets.

In this activity, students will learn to define variables that can be used to reference values and expressions. Once defined, their variables can be used repeatedly throughout a program as substitutes for the original values or expressions.

This is course material published for a secondary Math 1 course. Authors of this work are: Scott Hendrickson, Joleigh Honey, Barbara Kuehl, Travis Lemon, Janet Sutorius and updated from the original work in 2013 in partnership with the Utah State Office of Education.

This blended unit introduces students to linear inequalities and systems of inequalities. Students will algebraically and graphically verify solutions to linear inequalities and systems of linear inequalities.  Instruction and practice will be provided via Khan Academy.  As a capstone project, students will use linear programming to develop a diet plan for a celebrity; the diet plan requires students to research nutritional data and costs for two food products, while using linear programming to find the diet plan that satisfies the celebrity's daily nutritional needs at the lowest cost.

In this unit, students will learn how to use inverse operations to solve equations/inequalities containing variables, write equations/inequalities to represent real life situations, and simplify equations/inequalities before solving.

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.

In this video lesson, students will learn about linear programming (LP) and will solve an LP problem using the graphical method. Its focus is on the famous "Stigler's diet" problem posed by the 1982 Nobel Laureate in economics, George Stigler. Based on his problem, students will formulate their own diet problem and solve it using the graphical method. The prerequisites to this lesson are basic algebra and geometry. The materials needed for the in-class activities include graphing paper and pencil. This lesson can be completed in one class of approximately one hour. If the teacher would like to cover the simplex algorithm by George Dantzig as an alternative solution method, an additional whole class period is suggested.

This web-based graphing activity explores the similarities and differences between Velocity vs. Time and Position vs. Time graphs. It interactively accepts user inputs in creating "prediction graphs", then provides real-time animations of the process being analyzed. Learners will annotate graphs to explain changes in motion, respond to question sets, and analyze why the two types of graphs appear as they do. It is appropriate for secondary physical science courses, and may also be used for remediation in preparatory high school physics courses. This item is part of the Concord Consortium, a nonprofit research and development organization dedicated to transforming education through technology. Users must register to access full functionality of all the tools available with SmartGraphs.