Illustrative Mathematics
Building toward fluency
Here is a great learning task that focuses on the development of areas in computational fluency including strategies in mental math. Young learners are guided through a list of addition expressions that help them visually understand the...
Illustrative Mathematics
How Thick Is a Soda Can I?
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Illustrative Mathematics
Representing Half of a Circle
Geometric shapes make great visual models for introducing young mathematicians to the concept of fractions. Looking at a series of four circles, learners are asked to determine whether or not one half of each circle is shaded. To support...
Curated OER
Pi Day: The Other Math Holiday!
Happy Pi Day! This collection of games, experiments, and activities leads participants through an exploration of the many aspects and attributes of that mysterious quantity, pi. Activities range from using statistical...
Curated OER
Integer Solutions to Inequality
When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...
NASA
Resolving 2-Plane Traffic Conflicts by Changing Route—Problem Set B
Do pilots create appropriate spacing between aircraft by traveling a longer or shorter path? An interactive presents two airplanes that violate safety protocols. Pupils must determine how to change the path of one plane to create...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
Curated OER
Fuel Efficiency
Looking for a real-world situation to practice converting units? For 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,...
Illustrative Mathematics
Boxes and Cartons of Pencils
Boxes and cartons of pencils are a natural, real-world example for understanding bundles of ten and their relationship to a hundred. When you have many cartons, you can discuss place value, and how to represent multiple hundreds.
K-5 Math Teaching Resources
K 5 Math Teaching Resources: Multiplication Strategy: Partial Products 2 [Pdf]
Break down numbers as a strategy to multiply one-digit by three-digit numbers and two-digit by two-digit numbers.