Agile Mind
Isabella’s Credit Card
An in-depth activity that involves a real-world problem about credit card debt. Learners are given a scenario in which Isabella plans to stop using her credit card and pay off the balance by paying a fixed amount each month. The first...
Yummy Math
Movies ~ Oscars 2013
Using a popular topic, the movies, your class can meet a Common Core criterion. They compare box office movie returns, adjust older movies' incomes for inflation, and in this way use the four operations to solve real-world problems. This...
Curated OER
Fish Tale
Here is a cute problem that requires visualizing two-dimensional shapes within a three-dimensional object, and using properties of triangles and the Pythagorean theorem to solve a real-world problem. There is a small mistake in this...
Mathematics Assessment Project
Division
When you divide two integers you can get a decimal form of a rational number that repeats. How do you interpret that number in real-world situations? Her is an example question: What does 2.6666666666 mean in terms of an amount of...
Fort Bend Independent School District
Data Analysis - AP Statistics
What better way to study survey design than to design your own survey! Bring a versatile data analysis project to your AP Statistics class, and encourage them to apply the practices from their instructions to a real-world survey...
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
Concord Consortium
Dubious Dice
How many ways can you slice dice distribution? A short performance task asks pupils to consider different types of distributions. Given histograms showing a triangular distribution and a bimodal distribution, they create pairs of dice...
EngageNY
Logarithmic and Exponential Problem Solving
Just how old is it? The 22nd portion to a 23-part Precalculus unit uses radiocarbon dating and other exponential modeled real-world problems. Learners use the inverse relationship between logarithms and exponentials to solve the problem...
EngageNY
Solving Problems by Function Composition
Stay composed while solving problems. Learners put their knowledge of compositions to solve problems. To connect with the concept, scholars compose equations to answer questions from real-world situations. Finally, pupils practice using...
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...
Florida Center for Instructional Technology
The Shadow Knows: Student Worksheet
How can you measure the height of a tree or telephone pole with only a short measuring tape? It's not a problem when you start by measuring your shadow and your height to create a ratio to use with taller objects. Additional...
Curated OER
NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
Curated OER
Express Whole Numbers as Fractions
Show examples of fractions in the real world to help scholars grasp this complex concept. Because there is only one word problem here with an answer detailed below, this is ideal as an all-class warm up. Learners examine an image of a...
Curated OER
Comparing and Ordering Decimals
Which decimal is greater? Learners start by comparing eight pairs of decimals, writing in the symbol (> or <) to indicate values. The next two sections involve sets of three decimals. They start by circling the decimal with the...
Illustrative Mathematics
Crude Oil and Gas Mileage
Here is an activity that presents a real-world problem about the relationship between crude oil production and the gas mileage of modern automobiles. After learners write functions to describe the relationships, they are asked to...
Curated OER
Fuel Efficiency
Looking for a real-world situation to practice converting units? In this problem, learners must change miles per gallon to liters per km (or vice versa) to determine which car gets better gas miileage. It is a relatively short problem,...
Curated OER
Ratios and Proportions
This study guide would be great to use when presenting a lesson on ratios and proportions. It includes clear definitions, explanations, and examples to work through as a class or individually. In addition, it has notes on rates and...
Illustrative Mathematics
To Multiply or not to multiply?
When do you multiply a fraction by a fraction? Here, fifth graders are given 10 different word problems and asked to decide if multiplying 2/5 x 1/8 is appropriate. Many times, real-world word problems sound similar although the required...
Illustrative Mathematics
Converting Fractions of a Unit into a Smaller Unit
There is more than one way to answer a question; especially when you have fractions in measurement. Here are three questions with real-world situations in which 5th graders are asked to provide answers in three ways: a larger unit of...
Curated OER
Minutes and Days
Elapsed time is a skill developed by the single question that is the center of this activity. Fifth graders are asked to find out the time that is 2011 minutes after the beginning of 2011. This question addresses the standard that...
Illustrative Mathematics
Flu on Campus
An outbreak of the swine flu on a school campus has caused an increase in the number of boxes of tissues sold by the school store. In a real-world-modeling activity, pupils use composition of functions to determine how the number of...
Illustrative Mathematics
Lake Algae
Introduce learners to exponential growth with this real-world problem about algae that is rapidly spreading across a lake in a city park. The task presents the rate of growth and an end value and asks learners to determine what happened...
Curated OER
Slope
Studying slope? This one page instructional activity has it covered! Learners use graphs and coordinates to find slope and also use slope to find a missing coordinate of a point on a line. The lesson also includes a real-world...
Illustrative Mathematics
Influenza epidemic
This activity presents a real-world problem about an epidemic of influenza spreading through a city. Learners refer to a graph that shows the number of individuals infected in relation to the number of weeks that have elapsed since...
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