Handout
Mt. San Antonio Collage

Exponential Growth and Decay

For Students 9th - 12th Standards
Start with the basics and move up the exponential ladder to master a variety of problem-solving and application problems. The problems are heavy on exponential growth and decay, compound interest, and natural log.  
Activity
Illustrative Mathematics

Interpreting the graph

For Teachers 8th - 12th Standards
The purpose of this exercise is to give practice in reading information about a function from its graph. Learners are given graphs of two functions on the same axes. The task is to locate and label various key points on the graph that...
Lesson Plan
Curated OER

Rainbows, Bridges & Weather, Oh My!

For Teachers 10th - 12th
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Lesson Plan
Curated OER

How Alike Are We?

For Teachers 4th
Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...
Activity
Illustrative Mathematics

How is the Weather?

For Teachers 8th - 12th Standards
This activity asks learners to interpret data displayed on a graph within the context of the problem. Students are given three graphs that show solar radiation, or intensity of the sun, as a function of time. They are also given three...
Activity
Illustrative Mathematics

Pizza Place Promotion

For Teachers 8th - 12th Standards
The longer you wait to try the new pizza place, the more it's going to cost you! This real-world problem about how the cost of pizza varies with respect to time is a good example of how piecewise functions are used to describe...
Lesson Plan
Curated OER

Parallel Lines and Properties of Slope

For Teachers 9th - 10th
Students define functions to be graphed using the Y=key. They demonstrate how to set up a standard viewing screen using Zoom 6. They discuss and explore mathematical questions on a worksheet.
Lesson Plan
Curated OER

Count on Me

For Teachers 4th
Fourth graders use inductive reasoning to find algebraic patterns in geometric figures. They use technology (i.e., calculators, computers) and manipulatives to discover number patterns involving geometric concepts. They solve concrete...
Lesson Plan
Curated OER

The Business of Credit

For Teachers 7th - 12th
Learn about credit ratings and how it plays a role in the function of small businesses. Learners use their knowledge of good and bad credit to role play and determine good credit vs. bad credit in the area of small businesses.
Lesson Plan
Curated OER

Interactivate - Lines, Rays, Line Segments, and Planes

For Teachers 6th - 8th
Students explore lines, rays, line segments, and planes. In this math instructional activity, students discuss the math concepts and direct their instructor in graphing functions. Students collaborate in graphing additional functions.
Lesson Plan
Curated OER

Subtracting from Ten: Using Math with Music

For Teachers K - 1st
Students explore basic math functions by singing with their classmates. In this addition and subtraction lesson, students sing the song "5 Green and Speckled Frogs"and complete a list of subtraction problems. Students complete a...
Activity
Illustrative Mathematics

Zeroes and Factorization of a General Polynomial

For Teachers 10th - 12th Standards
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Lesson Plan
Curated OER

MP3 Purchase Plans

For Teachers 7th - 10th
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
Activity
Illustrative Mathematics

Warming and Cooling

For Teachers 8th - 11th Standards
Is it too hot to go hiking? This task asks learners to refer to a graph that shows temperature as a function of time and answer five questions about the scenario depicted by the graph. The exercise could be used for instruction to help...
Lesson Plan
Curated OER

Same As

For Teachers K - 3rd
Explore the concept of the equals symbol. In this mathematical symbols instructional activity, learners discover the meaning of the equals sign (symbol). They also construct addition and subtraction sentences to understand the concept of...
Lesson Plan
Curated OER

Discovering Ohm's Law

For Teachers 11th - 12th
Connect math with science! Pupils apply properties of Ohms Law as they solve problems and identify the inverse relationship of a function. They analyze the shape of the graph of an inverse function and use it to make predictions.
Lesson Plan
Curated OER

Circulation

For Teachers 6th - 8th
Students define the functions of the circulatory system.  In this body circulation lesson students see how engineers have involvement with the circulatory system. 
Activity
Illustrative Mathematics

Zeroes and factorization of a quadratic polynomial I

For Teachers 10th - 12th Standards
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Lesson Plan
Curated OER

Food Packaging

For Teachers 6th - 8th
Middle schoolers identify the functions of packaging food and how the designs work.  In this food packaging lesson students identify the changes that occur in different types of materials. 
Activity
Curated OER

Sum and Difference angle formulas

For Teachers 10th - 12th Standards
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Lesson Plan
Curated OER

Big Air Rules

For Teachers 8th - 10th
Students discuss projectile motion using a basketball player taking off for a slam dunk, a fly ball launched off a hitter's bat, and a snowboarder flying off a pipe as examples. The lesson is expanded by introducing the mathematical...
Lesson Plan
Curated OER

Spreadsheet formulas

For Teachers 6th - 8th
Learners, while in the computer lab, practice using formulas, print options, functions and adjusting column widths while interacting with a spreadsheet program. They modify and use spreadsheets, after being given a scenario, to solve...
Worksheet
Curated OER

Parallel and Perpendicular Lines

For Students 11th - Higher Ed
In this college level mathematics worksheet, students determine if lines are parallel or perpendicular and write the equation of a line described by a given set of conditions. The two page worksheet contains forty=two problems....
Lesson Plan
Virginia Department of Education

Relationships Round Robin

For Teachers 7th
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.