Consumers Energy
The Cost of Electricity
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
Curated OER
Solving Polynomial Equations by Factoring
Use the principle of zero product to solve these polynomial equations. There are 21 problems in various forms to solve. Some are already set to equal zero, but might needs to be put in descending order. Then there are sunsequent problems...
Curated OER
Section 2.5 - Problem Solving (Part B)
Trying to figure out the perimeter of a geometric figure? Here are a few word problems to set up algebraic equations to solve for perimeter. There are also some word problems to set up algebraic equations to solve for angles in a...
Charleston School District
Review Unit 5: Equations
It's time for them to show you what they've learned! The review provides a sampling of the different concepts learned throughout the eight-part series. Learners solve equations by combining like terms, applying the distributive property,...
Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Charleston School District
The Distance Between Points
Find the shortest distance from A to B using the Pythagorean Theorem! Scholars learn they can find the distance between two points by creating a right triangle using the horizontal and vertical lengths and applying the Pythagorean Theorem.
Charleston School District
Volume of Rounded Objects
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
California Mathematics Project
Treasure Beneath the Sea
Explore the geometry of treasure hunting! Learners use geometry to design a treasure recovery strategy. The objective is to create a design that minimizes the amount of work required. Budding mathematicians use properties of triangles as...
Balanced Assessment
Number Game
It's all in the numbers! Create a mathematical model to analyze a number game and develop a winning strategy. Using a given numerical pattern, scholars write an expression to model the scenario. They then interpret the pattern of the...
Virginia Department of Education
Inductive and Deductive Reasoning
Introduce pupils to the two types of reasoning, inductive and deductive. Classmates work in pairs or small groups to learn the difference between the two and apply these reasonings to develop valid conclusions.
Virginia Department of Education
Graphing Systems of Inequalities
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
Curated OER
Areas of Geometric Shapes with the Same Perimeter
A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area...
Illustrative Mathematics
Extending the Definitions of Exponents, Variation 1
Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...
Mathematics Assessment Project
Hopewell Geometry
Right triangles from 2,000 years ago? Learners investigate different right triangles found in the earthworks of the Hopewell people, a Native American culture that populated the United States from 200BC to AD 500. Learners apply concepts...
Mathed Up!
3-D Pythagoras
Apply the Pythagorean Theorem in three-dimensional shapes. Young mathematicians watch a video that takes them through several examples of using the Pythagorean Theorem to solve problems involving lengths in three-dimensional figures. A...
Inside Mathematics
Coffee
There are many ways to correlate coffee to life, but in this case a worksheet looks at the price of two different sizes of coffee. It requires interpreting a graph with two unknown variables, in this case the price, and solving for those...
EngageNY
The Distance from a Point to a Line
What is the fastest way to get from point A to line l? A straight perpendicular line! Learners use what they have learned in the previous lessons in this series and develop a formula for finding the shortest distance from a point to a...
Curated OER
Distributive Property
In this distributive property worksheet, students solve and complete 22 different equations that include applying the distributive property to each one. First, they simplify each expression listed by applying the distributive property....
Achieve
Framing a House
If members of your class wonder where they can use the math they learn in middle school, let them discover the answer. Learners apply geometry concepts of scale and measure to calculate the costs of framing a house addition.
Willow Tree
Solving Inequalities
What does solving an inequality have in common with solving an equation? Almost everything! A math resource focuses on the one exception. The examples lead learners through the steps of solving an equality when multiplying or dividing by...
National Research Center for Career and Technical Education
Transportation, Distribution, and Logistics: Tire and Wheel Assemblies
Is bigger really better? By the end of this activity, learners will be able to apply formulas for computing the diameter of tires and wheel assemblies. Begin by showing a slide presentation that will review definitions for radius and...
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
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