Balanced Assessment
Stick Patterns
Sticks and stones may break my bones, but these sticks will make me smarter. Pupils examine arrays of sticks to determine the next array in a pattern. They use the number of sticks added to each previous array to determine a recursive...
Balanced Assessment
Plenty of Pentagons
Why are only four colors needed to color webs from regular pentagons, not five? An assessment task requires young mathematicians to first construct regular pentagons using a compass and straightedge, then has them consider a shape formed...
Teach Engineering
Incoming Asteroid! What's the Problem?
Oh, no! An asteroid is on a collision course with Earth!. Class members must rise to the challenge of designing a shelter that will protect people from the impact and permit them to live in this shelter for one year. In this first lesson...
Balanced Assessment
Pen Pals
It's always nice to hear from friends. Your budding mathematicians read letters from pen pals and convert customary measurements into metric units and vice versa. They also write letters to an imaginary pen pal using metric units.
Balanced Assessment
Refiguring Pythagoras
Why was Pythagoras so obsessed with squares? The assessment task posits the question of whether the geometric interpretation of the Pythagorean Theorem holds for figures other than squares. Scholars first consider the case of semicircles...
Balanced Assessment
Solar Elements
Let your brilliance shine like the sun. Future mathematicians and scientists consider given data on the abundance of different elements in the sun. The assessment task requires consideration of how these different abundances relate to...
Balanced Assessment
County Concerns
Apply area concepts to help farmers and settle county disputes. Scholars use a given diagram and information about an insecticide spraying campaign to determine the monetary benefit to farmers. They then decide which of two counties has...
Balanced Assessment
Triangle in Circle
Even kindergartners can draw triangles in circles, but the assessment task requires a bit more geometric knowledge. Scholars investigate triangles that have a diameter of a circle as one of its sides. They must consider triangles that...
Balanced Assessment
Walkway
Evaluate different aspects of geometry with one task. An assessment activity prompts learners to determine the area of a pathway in the shape of a parallelogram. The Pythagorean Theorem and area formulas for various polygons provide the...
Balanced Assessment
Dot Patterns
Use geometric patterns to teach your class how to write functions. The assessment task has scholars consider a pattern of dots to draw the next picture of the pattern. Pupils then analyze the pattern, which helps them develop a function...
Balanced Assessment
Above Average
Raise the bar and strive to be above average. The assessment task requires budding mathematicians to think critically and evaluate given statements. What does it truly mean to be above average?
Balanced Assessment
Paving the Patio
Next time you need to repave your patio, have your scholars do all the math. They first calculate and answer questions using the area of patio blocks. Next, they determine the cheapest block to use to pave the patio.
Curated OER
Candy Bars
There is often more to data than meets the eye. Scholars learn that they need to analyze data before making conclusions as they look at data that describes the number of candy bars boys and girls eat. They disprove a given conclusion and...
Teach Engineering
Bridging the Gaps
The London Bridge should not have fallen down. And here's why. After a brief history of bridges and the three main types, class members are introduce to the concepts of tension and compression, the two main forces acting upon bridges.
Teach Engineering
Ranking the Rocks for Desired Properties
Math rocks! Cavern design teams determine the rankings of rock types based upon desirability points. The points are connected to the properties of the rocks and their usefulness in building a cavern.
Teach Engineering
Rocks, Rocks, Rocks: Test, Identify Properties and Classify
Time is growing short. Teams work together to identify physical properties of rocks in order to determine the properties that would best suit their cavern shelter design.
Teach Engineering
Identifying Possible Underground Cavern Locations
Teams continue with the Asteroid Impact challenge and determine possible locations to construct their underground shelters. Participants cut scale area models of their shelters from paper and place them on the map to find locations to...
Teach Engineering
Using Map Scales to Figure Distances and Areas
The asteroid is getting closer and the question is whether the state of Alabraska is large enough for the shelter calculated in the previous activity. Teams determine the scale of their project and then use the scale on the map to...
Teach Engineering
Building and Testing Model Underground Safety Caverns
Teams take their cavern designs and build a model from clay or paper mache that can be buried in sand. Testing involves dropping a bowling ball on the buried cavern. Teams dig out their cavern, inspect it for damage, and consider...
Teach Engineering
How Big? Necessary Area and Volume for Shelter
Teams must determine the size of cavern needed to house the citizens of Alabraska to protect them from the asteroid impact. Using scaling properties, teams first determining the number of people that could sleep in a classroom and then...
Balanced Assessment
Pick a Pattern or Two
Math is all about finding patterns. In this ask, scholars first investigate a sequence formed by squaring the sum of the digits in the previous term. They go on to investigate a second sequence and write an algebraic expression for this...
Mathematics Assessment Project
Representing the Laws of Arithmetic
Sixth graders connect numerical expressions to geometric area. They first complete an assessment task requiring them to identify area models for numerical expressions. Learners then participate in an activity to match area models to...
Mathematics Assessment Project
Sharing Costs Equitably: Traveling to School
Drive or take the school bus? Class members determine the amount each student would have to pay in a carpool situation. They then evaluate the cost in a set of provided examples. I think I'd rather take the school bus!
Mathematics Assessment Project
Optimizing Coverage: Security Cameras
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.