Flipped Math
Calculus AB/BC - Determining Intervals on Which a Function is Increasing or Decreasing
Going up? Wait, it might be going down! Learners watch a video to see how to use the derivative and critical points to find where a function is either increasing or decreasing. Individuals use the rate of change to solve real-world...
Herff Jones Education
Reaction Rates
Equip pupils with tools to determine reaction rates as they explore conditions that cause a reaction to increase or decrease. They also discuss why this occurs and predict the next steps as they take part in a series of experiments.
EngageNY
Interpreting Rate of Change and Initial Value
Building on knowledge from the previous lesson, the second lesson in this unit teaches scholars to identify and interpret rate of change and initial value of a linear function in context. They investigate how slope expresses the...
Charleston School District
Increasing, Decreasing, Max, and Min
Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or minimum...
Illustrative Mathematics
Coffee by the Pound
This is a great exercise in graphing proportional quantities to interpret the unit rate as the slope of a graph. It is not easy for learners to understand what a unit rate is. When it is presented as the slope of a linear line graph,...
Curated OER
Heart Rate Monitoring
Algebra learners like this resource because it is easy to understand and it relates to their lives. Whether you are starting a new workout routine, or just climbing the stairs, your heart rate increases and decreases throughout the day....
Curated OER
Physical and Chemical Reactions - Factors Which Affect Reaction Rate
A total of five experiments lead chemistry pros to understand the difference between physical and chemical change. They also experiment with exothermic reaction factors that affect rate of reaction. The procedures are not written in the...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
Curated OER
Finding Percent of Change/ Increase or Decrease
Seventh graders explore the skill of finding the increase and decrease of a quantity. Calculating the increase and decrease is covered by a percent. The proporition for finding a percent is also part of the lesson.
Curated OER
Rate Law Problems
If you need a variety of questions for reactions and rate calculations, this resource is for you. Inspire your high schoolers to manipulate values and equations to fit the questions. The word problems are quite involved and require young...
Illustrative Mathematics
Baseball Cards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
EngageNY
Increasing and Decreasing Functions 2
Explore linear and nonlinear models to help your class build their function skills. In a continuation of the previous lesson, learners continue to analyze and sketch functions that model real-world situations. They progress from linear...
EngageNY
Increasing and Decreasing Functions 1
Model situations with graphs. In the fourth installment of a 16-part module, scholars learn to qualitatively analyze graphs of piecewise linear functions in context. They learn to sketch graphs for different situations.
Curated OER
Related Rates
For this algebra worksheet, students rewrite word problems using algebraic symbols and solve for the related rates. There are 10 word problems involving derivatives and rates.
Curated OER
Regulation of Human Heart Rate
In this regulation of the human heart rate worksheet, students learn to measure their heart rate and design an experiment to test for the affects of a stimulus on the heart rate.
Curated OER
Working with Rates of Change
In this calculus worksheet, learners problem solve 8 word problems involving rates of change in association with high school students. Learners work out each problem and give a short explanation of each answer.
It's About Time
Factors Affecting Population Size
How do we predict future population growth? Young researchers investigate various factors affecting the size of our population. As they calculate and interpret graphs to determine factors that could potentially affect increases and...
Nuffield Foundation
Investigating Factors Affecting the Breathing Rate of a Locust
Do animals breathe faster when given more oxygen or more carbon dioxide? Young scientists observe the respiration rates of locusts under a variety of gas concentrations to answer that very question. They collect data, analyze the...
Curated OER
Compound Interest
Pupils analyze the variables in the formula of a compound interest. They model the increase or decrease of an investment using compound interest and discuss different compounding periods.
Curated OER
Percent and Percentage Problems
In this Algebra I/Algebra II worksheet, students solve application problems involving percents, percent error, and percent of increase or decrease. The two page worksheet contains a combination of fourteen multiple choice and free...
PBS
The Lowdown — Poverty Trends: What Does It Mean to Be Poor in America?
Here's a resource that's rich with learning opportunities. Future mathematicians investigate the poverty rate in America over time. They use an interactive to compare the poverty rate during the Great Recession of 2008 to other years,...
Curated OER
Worksheet 12: Functions
For this math worksheet, students are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...