Balanced Assessment
How Big is Big?
Now you can create your own monster movie. Learners estimate the size of a scale model monster given comparison statements and analyze these estimates to determine if the scale model accurately portrays a lizard.
West Contra Costa Unified School District
Work Problems – Bar Models
Why do we have to do so much work? Scholars learn how to set up bar models to represent a situation involving work. They use these bar models to help set up equations with rational coefficients to solve the problem situation.
West Contra Costa Unified School District
Solving Rational Equations
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
Math Drills
Thanksgiving Cartesian Art: Turkey
What does a turkey like to eat on Thanksgiving? Nothing, it's already stuffed. Turkey enthusiasts graph points on a Cartesian coordinate system
Math Drills
Thanksgiving Cartesian Art: Pumpkin
Not a Halloween jack-o-lantern, but a Thanksgiving pumpkin! Young mathematicians graph and connect points on a coordinate system to unveil the mystery picture.
Math Drills
Thanksgiving Cartesian Art: Mayflower
How did the Pilgrims arrive to America? Middle schoolers graph ordered pairs on a coordinate system, connect the points, and discover a mystery picture—the Mayflower.
TryEngineering
Search Engines
Introduce search engines with an activity that models how search engines work and the different algorithms they employ. Working in groups, class members then build search queries to demonstrate the knowledge learned.
Teach Engineering
Thirsty for Gold
In the last portion of the six-part unit, teams perform an experiment with gold nanoparticles to determine which sport drink has the most electrolytes. The nanoparticles are used as chemical sensors and fluoresce in different wavelengths...
Teach Engineering
What is a Nanometer?
Teams learn about the size of a nanometer by measuring objects and converting those measurements. A worksheet then tests the groups' abilities to use nanometers by having them determine the size of objects that are too small to...
Teach Engineering
Cost Comparisons
Our final proposal for the cost of the bridge requested is ... In the last segment in a series of 10, pairs work together to develop a proposal for a city bridge design. The class completes a cost comparison between concrete and steel to...
Teach Engineering
Off-Road Wheelchair Challenge
Challenge your class to use their understanding of the engineering design process to design and build a small-scale, off-road prototype for an assistive technology device. Teams select materials to build their scale models, and, using...
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
Greater, Lesser, In-Between
Goldilocks and the Three Numbers? The pre-activity task involves finding digits to complete decimals or fractions that satisfy given constraints, such as finding a fractions that is in between two others. The main task involves a similar...
Balanced Assessment
At the Supermarket
Grocery managers and chefs sure use lots of math. Scholars first use ratios and unit rates to determine a price for a can of corn. Once individuals have the pricing, they determine the amount of ingredients necessary to make brownies...
Balanced Assessment
Fractured Subtraction
Can you spare a 10? Scholars determine digits that could complete a two-digit subtraction problem. They must find all possible combinations of digits and provide an explanation for their reasoning.
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.