Illustrative Mathematics
Harvesting the Fields
This problem involving rates may look simple at first, but it is actually quite challenging. Two different sized fields are harvested by a team of workers and learners must use different rates to calculate the number of workers on the...
Illustrative Mathematics
Ice Cream Van
In an open-ended problem, learners calculate costs involved in driving an ice cream van. Is it better to park in one place or drive through different neighborhoods? Learners look at these and other factors and must make reasonable...
Illustrative Mathematics
Runners' World
Learners must investigate the validity of a claim made in a running magazine. They must identify and look up unprovided information, make appropriate estimations, and be able to convert units. Might be best used as a group or whole-class...
Curated OER
Representing Data 1: Using Frequency Graphs
Here is a activity that focuses on the use of frequency graphs to identify a range of measures and makes sense of data in a real-world context as well as constructing frequency graphs given information about the mean, median, and range...
Curated OER
Representing Data 2: Using Box Plots
What information can be gleaned from a box and whiskers plot? Discuss the five summary values - minimum, maximum, upper and lower quartiles, and median - and what conclusions can be made from these values? Included here is a matching...
College at Brockport
Healthy Ecosystems
Is there a connection between the snowshoe hare population and the lynx population? Young scientists will examine this question and graph actual data to determine the relationship between these two species, as well as researching another...
Illustrative Mathematics
Reasoning about Multiplication
In critiquing someone else's theory, learners share insight into their own understanding of mathematical concepts. Fifth graders will explore the notion that products are always larger than their factors. While this statement is true the...
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
Mathematics Assessment Project
Representing Polynomials
Use this complete and very detailed lesson plan to assess your learners' understanding of two important behaviors of polynomials. The first is the relationship between the zeros of a polynomial function and the function's graph, and the...
Curated OER
Finding Common Denominators to Subtract
Subtracting fractions with unlike denominators can be overwhelming, but in this task, 5th graders work systematically to break down the procedure through three questions. The first two questions ask for pictures to be drawn along with...
Curated OER
Comparing Investments
Money, money, money. A complete lesson that makes use of different representations of simple and compound interest, including written scenarios, tables, graphs, and equations to highlight similarities and differences between linear and...
Curated OER
Light Bulbs are Almost Burned Out
Incandescent light bulbs were enlightening more than 130 years when Thomas Edison invented them. More recently, US Congress passed legislation to increase efficiency standards. Your 5th, 6th, or 7th graders will be enlightened as they...
Curated OER
Do These Add Up?
Common Core mathematical practices require that young mathematicians not only know how to add fractions with unlike denominators, but also to recognize when adding fractions are appropriate for the word problem. Fifth graders are given...
Curated OER
Modeling: Having Kittens
Cats can't add, but they do multiply! Determine the number of descendants of a single cat given specific facts about cats and kittens. The lesson focuses on developing strategies for problem solving using both individual and group work....
Shodor Education Foundation
Algorithm Discovery with Venn Diagrams
Here is a activity that takes an interesting approach to analyzing data using box and whisker plots. By using an applet that dynamically generates Venn diagrams, the class forms a strategy/algorithm for guessing the rule that fits the...
Curated OER
Complex Distance
Have learners graph complex numbers to gain a visual and mathematical understanding of the distance and the midpoint between two complex numbers. This lesson is short, but to the point, and addresses an important complex number concept....
Curated OER
Interpreting Statistics: A Case of Muddying the Waters
Is river pollution affecting the number of visitors to Riverside Center, and is the factory built upstream the cause of the pollution? Let your class be the judge, literally, as they weigh the statistical evidence offered by the factory...
Shodor Education Foundation
Sets and the Venn Diagram (Beginner)
Venn diagrams are helpful in understanding the idea of a set and using attributes to sort items. This basic plan is an introduction with an added bonus of an applet that can be used to demonstrate the activity. If a classroom of...
Mathematics Assessment Project
Representing Quadratic Functions Graphically
Sometimes being different is an advantage. An engaging activity has scholars match cards with quadratic functions in various forms. Along the way, they learn about how each form highlights key features of quadratic functions.
TOPS Learning Systems
PI in the SKY
What is pi anyway? After this set of activities, your pupils should have multiple answers to this question. Investigate pi with various experiments and discoveries. Calculate the ratio circumference/diameter for different sized circles....
Curated OER
Is This a Rectangle?
How do you show that something is a rectangle? This activity starts with four coordinate points and asks young geometers to explain whether they create a rectangle. Knowledge from both geometry and algebra come into play here, as well...
Curated OER
Choral Counting I
Using a 100s chart or a number line with a pointer, work with your class to count up to 100 by ones and tens. As a part of daily instruction, prompt your kindergartners to chant count from 1 to 30. Move on to 1 to 50, and then from 1 to...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning capabilities...
Curated OER
Number After Bingo 1-15
Using a number line, as a class, discuss the concept of the number after. Choosing numbers on the number line, ask your kindergartners what number comes next and point to that number. Once the class has this concept down, pair-up and...
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