Hi, what do you want to do?
Noyce Foundation
Diminishing Return
Challenge individuals to compete as many tasks as possible. Lower-level tasks have pupils apply costs and rates to solve problems. Upper-level tasks add algebraic reasoning and conditional probability to the tasks.
Education Development Center
Writing Numerical Expressions—Hexagon Tables
Explore a basic pattern to practice writing expressions. In collaborative groups, learners examine a contextual pattern and write an expression to model it. The task encourages groups to describe the pattern in multiple ways.
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
Illustrative Mathematics
Ice Cream Cone
Every pupil with a sweet tooth will be clamoring for this lab and analysis, particularly when they're allowed to eat the results! Volume and surface area formulas for cones are developed from models, and then extended to the printing of...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Illustrative Mathematics
Checking a calculation of a decimal exponent
In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...
University of Cambridge
University of Cambridge: Nrich: Heads and Feet
Solve this problem about hens and sheep and practice your algebraic thinking all at the same time. A solution is provided at this one page website.
University of Cambridge
University of Cambridge: Nrich: Brothers and Sisters
Figure out the ages of the children in this family using the clues and your sound algebraic thinking. Check the solution after you complete the problem.
Other
Emsl: The River Crossing Problem
The lesson plan for an interesting word problem concerning swimming and rowing across a river, being swept downstream by the current, and walking back up the other side. Basic arithmetic skills are all that are needed to approach the...
National Council of Teachers of Mathematics
Nctm: Figure This: Tan, Don't Burn
How about a math challenge for a sunny day at the beach? Apply your problem solving, number sense, and logical reasoning skills to find out how long it would take Helix to get sunburned using SPF 10 lotion. Discover why understanding...