Henrico County Public Schools
Solving Systems of Equations by Substitution
There is no substitute for checking the solution. A short introduction to the substitution method of solving systems of equations is an ideal resource for algebra classes. The slides present steps for the substitution method and apply...
Illustrative Mathematics
Paying the Rent
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
EngageNY
A Critical Look at Proportional Relationships
Use proportions to determine the travel distance in a given amount of time. The 10th installment in a series of 33 uses tables and descriptions to determine a person's constant speed. Using the constant speed, pupils write a linear...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
West Contra Costa Unified School District
Evaluating Functions Graphically and Algebraically
High schoolers evaluate functions graphically and algebraically. After completing that step, they write a statement describing the input and output.
Kenan Fellows
Math Made Simple as 1-2-3: Simplified Educational Approach to Algebra
Writing an equation of a line is as easy as m and b. A lesson presentation gives individuals different strategies for writing equations of lines. Some items provide a slope and a point while others provide two points. Whatever the given,...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
EngageNY
Linear Models
Expand your pupils' vocabulary! Learn how to use statistical vocabulary regarding linear models. The lesson teaches scholars the appropriate terminology for bivariate data analysis. To complete the module, individuals use linear...
Flipped Math
Intro to Proofs
Prove the best way to keep up in Geometry. Scholars first review algebraic properties from Algebra. Learners then use the properties to create two-column proofs to solve linear equations before completing algebraic proofs by providing...
EngageNY
Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day activity is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
Mathematics Vision Project
Module 1: Getting Ready Module
This fabulous resource is a must-have for any algebra teacher's arsenal of lessons. Developing the idea of equations and use of variables from basic physical scenarios, learners gain valuable intuition in the structure and meaning of...
Rice University
Prealgebra
Pre-algebra—all wrapped up in one place. The eBook contains everything needed to teach a typical Pre-Algebra course. Concepts in the course build upon previously learned concepts, allowing mathematicians to see the connections between...
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra instructional activity. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching...
EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear, exponential...
West Contra Costa Unified School District
Introduction to Solving Linear Inequalities in One Variable
Life isn't fair ... like inequalities. After first reviewing inequality symbols and how to read inequality statements, learners discover how to solve one-step inequalities and graph their solution sets.
EngageNY
Determining the Equation of a Line Fit to Data
What makes a good best-fit line? In the 10th part of a 16-part module, scholars learn how to analyze trend lines to choose the best fit, and to write equations for best-fit lines to make predictions.
Curated OER
Transformations in the Coordinate Plane
Your learners connect the new concepts of transformations in the coordinate plane to their previous knowledge using the solid vocabulary development in this unit. Like a foreign language, mathematics has its own set of vocabulary terms...
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Flipped Math
Addition Postulate
Add a little algebra to the geometry. Class members learn about the Addition Postulate for segments and angles. The pupils use their knowledge of solving equations to find lengths of segments and measures of angles. Individuals apply...
Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It will...