College Board
Random Variables vs. Algebraic Variables
Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.
Curated OER
Algebra I Lesson
Ninth graders explore applications of Algebra. In this Algebra I lesson, studetns investigate eight applications of algebra ranging form the mathematics of roller coasters to tracking the popularity of a web site.
PBS
From Patterns of Input and Output to Algebraic Equations
Watch video clips titled, "Frog Hops Part I" and "Frog Hops Part II," then discuss patterns demonstrated in the videos. Learners will complete an algebraic expressions and equations handout and discuss the answers. They will be able to...
Curated OER
Global Positioning System I
Geometry learners touch the surface of how a global positioning system works. The end goal is to find the intersections of three different spheres geometrically and algebraically given their algebraic representations.
Curated OER
Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
Mathematics Vision Project
Module 4: Equations and Inequalities
Can you justify that mathematically? Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six lessons...
EngageNY
Algebraic Expressions—The Distributive Property
Do your classes truly understand the distributive property? Use a demonstrative lesson to represent the distributive property in various ways. Learners solidify understanding by creating a geometric pattern for distributive property, and...
EngageNY
Recursive Formulas for Sequences
Provide Algebra I learners with a logical approach to making connections between the types of sequences and formulas with a lesson that uses what class members know about explicit formulas to develop an understanding of recursive formulas.
Curated OER
Algebra 1: Slope as Rate
Learners solve problems with slopes. In this algebra lesson, students identify the slope of a line and relate it to the rate of change. They graph their lines on the TI and observe changes in the lines.
TryEngineering
Boolean Algebra is Elementary
See how Boolean algebra relates to video games with a lesson that teaches young scholars how to use Boolean algebra to create rules for a virtual world. They test the rule base for consistency in groups.
Curated OER
Equivalent Algebraic Equations
Ninth graders explore linear equations. In this Algebra I lesson, 9th graders investigate how different equivalent equations can be used to describe any given line. Students explore how to change equations to equivalents equations by...
Curated OER
Am I Straight
Identify the slope of a linear equation in this algebra lesson. Middle schoolers graph linear equations using slopes and intercepts. They identify the slope as being positive, negative, no slope, or undefined.
EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this lesson plan by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
Mathematics Vision Project
Module 6: Quadratic Functions
Linear, exponential, now it's time for quadratic patterns! Learners build on their skills of modeling patterns by analyzing situations with quadratic functions. The sixth module in the Algebra I series has pupils analyze multiple...
Mathematics Vision Project
Module 2: Linear and Exponential Functions
Write, graph, and model all things linear and exponential. Building on the previous module in a nine-part Algebra I series, learners compare linear exponential modeling. They write equations, graph functions, and analyze key features.
Mathematics Vision Project
Module 1: Sequences
Sequences are all about recognizing patterns. A module of 11 lessons builds pupils' understanding of sequences through pattern analysis. The practice connects the analysis to linear and exponential equations. This is the first module in...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Texas Instruments
Finding Linear Models Part III
Explore linear functions! In this Algebra I lesson, mathematicians graph data in a scatter plot and use a graphing calculator to find a linear regression and/or a median-median line. They use the model to make predictions.
Curated OER
Using CAS and algebra tiles with Expanding and factoring trinomials
Ninth graders investigate multiplication of binomials and factoring of trinomials. In this Algebra I lesson, 9th graders compare and contrast expansion and factoring using algebra tiles and a TI-89.
Curated OER
Bagel Algebra
Ninth graders apply proportional reasoning to a real-life situation. In this Algebra I lesson, 9th graders explore a series of equations that relate to a display sign that compares the owner’s bagels to competitors bagels. Students...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a lesson that uses various methods of exploring the...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
EngageNY
Exponential Decay
I just bought that car, how can its value decrease already? Individuals use the data of a depreciating car value to create an exponential decay model. They then compare exponential decay and growth equations.
5280 Math
Stories That Formulas Tell
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
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