Polar Trec
Down to the Deep Virtual Lab
At a depth of 3,000 m in the ocean, the pressure is 300 times that at sea level! In the activity, individuals predict what will happen to Styrofoam cups submerged 3,000 meters into the ocean. They then convert these units to soccer...
Teach Engineering
Floaters and Sinkers
Whatever floats your boat. Young engineers learn about density by measuring the masses and volumes of boxes filled with different materials. Using their knowledge of densities, they hypothesize whether objects with given densities will...
University of Colorado
Modeling Sizes of Planets
The density of the huge planet of Saturn is 0.7 g/cm3, which means it could float in water! In the second part of 22, science pupils explore the size and order of the planets. They then calculate weight and/or gravity and density of...
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Curated OER
Algebra: Brackets
In this brackets learning exercise, students use the distributive property to solve given problems. They add, subtract, multiply and divide positive and negative integers. Students factor problems and use FOIL to expand others. This...
Curated OER
New York State Testing Program Practice
In this standardized test preparation worksheet, 8th graders solve several varying problems. This twelve page test preparation worksheet asks students to show their work and explain how they arrived at their answers.
Curated OER
Laws of Exponents Worksheet
For this exponents worksheet, students rewrite the five given exponents as a single exponent using exponent rules.
Curated OER
Laws of Exponents Worksheet
In this exponents worksheet, students rewrite the given five problems as a single exponent by using exponent rules.
Curated OER
A Fibonacci Primer
Upper graders explore the Fibonacci sequence. They examine the characteristics of the Fibonacci sequence, list the properties of the sequence and determine how it connects to Pythagorean Triples. Related thinking questions are included.
Curated OER
Equations and Inequalities: Properties
In this equations and inequalities worksheet, students complete 3 multiple choice questions testing their knowledge of various properties of the real number system.
Curated OER
Solving Inequalities
In this solving inequalities worksheet, students solve and complete 14 different problems that include using multiplication and division properties for inequalities. First, they state the number by which they multiply each side to solve...
Curated OER
Middle School Math
Students participate in a unit that introduces them to solving problems that is introductory to algebra. They look at positive and negative numbers on the number line and practice solving problems using the distributive property.
Illustrative Mathematics
Miles to Kilometers
Can your mathematicians come up with an easy way to convert miles to kilometers? Start by asking learners to write an algebraic expression for each of the descriptions given. Once they determine that they are both the same, ask...
Willow Tree
Multiplying Polynomials
Make two parts into a whole. Scholars learn to multiply polynomials to create a simplified polynomial expression. Polynomials include monomial, binomials, and trinomials.
Education Development Center
Proof with Parallelogram Vertices
Geometric figures are perfect to use for proofs. Scholars prove conjectures about whether given points lie on a triangle and about midpoints. They use a provided dialogue among fictional students to frame their responses.
Education Development Center
Extending Patterns with Exponents
Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.
Teach Engineering
Building an Electromagnet
Your pupils can build their own electromagnet — awesome! The culminating activity in an eight-part series challenges groups to design and build their own electromagnet. The goal of the activity is to build a magnet capable of picking up...
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...
Curated OER
Interpreting Graphs
Sixth graders interpret linear and nonlinear graphs. They create graphs based on a problem set. Next, they represent quantitive relationships on a graph and write a story related to graphing.
Achieve
Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
Shodor Education Foundation
Algebra Four
Everybody wins when you play Algebra Four. Players solve linear and quadratic equations to earn pieces on the Algebra Four game. Make a row of four pieces and you win the game. But everyone gets practice with solving equations, so really...
CK-12 Foundation
Zero, Negative, and Fractional Exponents: Patterns with Powers
Build a foundational understanding of exponent patterns. Young scholars manipulate the bases of exponent expressions. They discover the meaning of negative exponents through their exploration.
CK-12 Foundation
Simplify Products or Quotients of Single Variable Expressions: Quotients of Single Variable Expressions
Investigate division within an algebraic term using an inquiry-based lesson. Individuals adjust sliders and watch as the simplification of the term changes. Questions help guide them to important conclusions.
Cornell University
Magnetic Mad Libs
Examine the science behind computer communication. After defining the properties of magnets, learners simulate how a computer hard drive works by sending each other binary codes using the magnets. They use these communications to...