Concord Consortium
A Linear System
Young mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...
Google
Teacher Appreciation
Show your teacher you care. Young scholars use the Blockly programming language to create a card for their teachers. Using variables, encapsulation, objects, and sequences helps advance their computer science knowledge at the same time.
Discovery Education
3D Printing Robots
What is water worth to you? The answer probably depends on many different variables. Learners explore the value of water in space and what it takes to transport the resource to locations in a galaxy far far away. They then consider...
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
PHET
Equality Explorer
Find the right balance between concrete and abstract thinking. After using interactive balances to explore inverse operations, learners solve multi-step equations with variables on both sides. Of course, they can still use the...
Las Cumbres Observatory
Star In a Box
Stars may all look the same from down here, but their surfaces tell a different story. Using an animation, learners collect data about the temperature and luminosity of stars and compare them to their mass and radius. They then answer...
Flipped Math
Calculus AB/BC - Introduction to Related Rates
Here's a video for those who can relate to being confused about related rates. The fourth of eight lessons in Unit 4 - Contextual Applications looks at related rates. Individuals learn to write equations that show a relationship between...
Flipped Math
Graphing Functions to Solve Equations
Intersections become solutions. Scholars watch a video on using a graphing calculator to find the solution to an equation in one variable. While watching the presentation, pupils practice working some of the examples and compare their...
Curated OER
Eutrophication
Students observe the effects of eutrophication and determine why it is harmful to aquatic ecosystems. They create mason jar ecosystems to observe the growth of algae in pond water. In addition, they observe the effect of introducing...
Curated OER
Worksheet 3.1 Functions
Middle and high schoolers complete and solve 12 various types of problems. First, they express the output as a function of the input in each table. Then, pupils evaluate for the given variable when the value is as stated. In addition,...
Curated OER
Laws of Exponents
In this exponent instructional activity, students simplify expressions containing exponents. They use the laws of exponents to multiply and divide positive and negative exponents with variables. This two-page instructional activity...
Pingry School
Determination of the Percent Hydration and the Simplest Formula of a Hydrate
Does the crystal structure of a hydrated solid determine the proportion of water absorbed, or does the application of heat change the absorption? Scholars experiment with both variables to determine the answer. They add their collected...
Pingry School
Replacement of Hydrogen by a Metal
As the most abundant element on the earth, hydrogen requires no replacement. Yet scholars learn to replace hydrogen with a metal to liberate the hydrogen gas. A simple procedure and data table include the necessary information and...
Curated OER
Solving One-Step Inequalities by Adding/Subtracting
In this solving inequalities activity, students add and subtract to isolate the variable for 26 inequalities. Each solution is then graphed on a number line.
Curated OER
Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
Curated OER
Lesson 2-5: Absolute Value Functions and Graphs
What is absolute value? What is an absolute value function? Emerging mathematicians solve equations containing variables inside an absolute value sign. They graph each function on a coordinate plane and identify the maximum and...
Curated OER
Scientific Method: How Many Drops of Water Fit on a Coin?
Young investigators conduct an experiment using the scientific method. They see how many drops of water fit on a coin; have them conduct several different trials. This involves making a hypothesis, looking at controls, and introducing...
Curated OER
Speed Problems
Challenge your fourth graders with these tricky word problems about speed. They use the formula for time, distance, and speed to solve six scenarios. There are three examples, each showing an instance when a different variable must be...
Curated OER
Bar Graphs
What are these bar graphs depicting? Novice data analyzers examine two basic bar graphs and answer three comprehension questions about each. The first graph shows tickets sold per date and the next is distances run per member of a cross...
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Curated OER
How does the solution change?
Four simple equations, each with two variables, try to get at the important question of reasoning about equations. The problem isn't to solve the equations, but to understand the nature of their solutions. These equations address the...
Perkins School for the Blind
The Germinator
How does a plant grow from a seed? Observe the process with a clever idea from the PBS television show ZOOM. Watch the video, then have your young botanists create their own germinators. The lesson described here is for visually impaired...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
Illustrative Mathematics
Operations on the Number Line
A different way to look at integers is on this number line with variables in place of numbers. Learners are to look at different expressions and describe why they think the answer would be positive or negative, depending on the location...
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