EngageNY
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons is broken...
Exeter Township School District
Order of Operations
Young mathematicians analyze computation errors by three hypothetical learners. It begins with a scenario that presents an equation that includes addition, multiplication, division, and subtraction. According to the order of operations,...
101 Questions
Want Some Orange Juice?
Juice up your lessons with an open-ended resource. Scholars must determine how many oranges it takes to fill a container with juice. They use information presented in a video and as images to find the solution.
Illustrative Mathematics
Global Positioning System II
Intricate details of a modern technology that many of us take for granted in our phones, computers (and some cars) are laid bare in a short but deeply investigative activity. The math behind a seemingly simple GPS device is...
Illustrative Mathematics
Right Triangles Inscribed in Circles II
So many times the characteristics of triangles are presented as a vocabulary-type of lesson, but in this activity they are key to unraveling a proof. A unique attack on proving that an inscribed angle that subtends a diameter must be a...
Balanced Assessment
Time Line
Use a graph to tell a story! Given a graph, young scientists create a story to match. They must provide their own axes labels and description of the scenario. The graph has increasing, decreasing, and constant sections.
Balanced Assessment
Fermi Number
A fermi number is a rough estimate of a quantity that is difficult or impossible to measure. Individuals design a process for making an estimation of a given scenario. For example, they determine a plan for estimating the number of...
Curated OER
High School Math Exam
In this practice exam worksheet, students solve 34 questions ranging from laws of exponents to trigonometry functions. They come in the form of multiple choice and open-ended questions.
Illustrative Mathematics
The Lighthouse Problem
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the different...
CK-12 Foundation
Prices Involving Discounts: Save Money with Coupons!
Nine questions make up an interactive that challenges scholars to identify new prices after discounts. Question types include fill in the blank and multiple choice. A fully-functional tool assists participants in solving word problems....
Willow Tree
Problem Solving
School subjects connect when your young scholars use math to edit English. Math allows you to convert an entire paragraph into a simple equation or inequality. Examples encourage learners to write expressions, equations, and inequalities...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
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.
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
CK-12 Foundation
Rectangular to Polar Form for Equations: Polar Coordinates
Plot points around a wheel. Pupils use an interactive tool to plot a point using polar coordinates with the aid of a wheel. Scholars use the interactive to answer five questions to finish the lesson. The resource provides background...
CK-12 Foundation
Greatest Common Factor Using Factor Trees
Beginning with a description that sets the stage, learners are asked to break down the numbers 42 and 63 to find the greatest common denominator using factor trees. As they work through the factoring process, young mathematicians are...
101 Questions
Banana Bread Baker
You don't want to be short bananas when making bread. Scholars use their math skills to make sure there are enough bananas to go around. Using measurements given in a recipe, they must determine how many bananas they need to increase the...
Illustrative Mathematics
Ice Cream Van
In an open-ended problem, learners calculate costs involved in driving an ice cream van. Is it better to park in one place or drive through different neighborhoods? Learners look at these and other factors and must make reasonable...
Illustrative Mathematics
Field Day Scarcity
Introduce young mathematicians to concepts of financial literacy with this open-ended word problem. With seven dollars to spend during field day and given a list of available items and their prices, children must determine how they want...
Mt. San Antonio Collage
Quadratic Functions and Their Graphs
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems.
K5 Learning
Treasure Hunt
After reading about a book that leads two friends on a treasure hunt, class members respond to four short answer reading comprehension questions. Skills include describing the characters, retelling the story in their own words, writing...
Curated OER
Cruising
Cruise ships offer many engaging opportunities for real-world math adventures. These large, floating cities use resources with numbers into the thousands place. Young mathematicians are asked to calculate numerical information relevant...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
Concord Consortium
Betweenness IV
Challenge your classes to think between the curves. Given two function formed by the combination of two exponential functions, individuals must write three functions in which all values would lie between the given. The question is...