Beauty and Joy of Computing
Unsolvable and Undecidable Problems
Try as you might, some functions just cannot be computed. The lab introduces the class to the possibility of unsolvable problems. The fourth lesson in a series of seven begins with a logic problem, then progresses to looking at functions...
BW Walch
Solving Linear Inequalities in Two Variables
Although graphing a linear inequality on the plane is but a few steps added onto the graphing of a linear equation, for many learners the logical leap is quite intimidating. This approachable PowerPoint presentation breaks graphing...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 4)
This fourth of twelve units in a series continues the investigation of functions through equations and inequalities. However, the modular nature of the lessons in the section make this an excellent resource for any curriculum covering...
Virginia Department of Education
Logic and Conditional Statements
If there is a conditional statement, then there is a hypothesis and conclusion. Pupils learn how to identify the parts of conditional statements. Class members continue to work with conditional statements and rewrite them in their many...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra instructional activity. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching...
Education Bureau of Hong Kong
Fundamentals
"Fundamentals," the first lesson in a series of eight, introduces the basic concepts and strategies covered in a series of resources designed to teach high schoolers critical thinking skills. The worksheets and activities in this first...
Community High School of Vermont
Habits of the Mind
An informative one-page resource details the 16 Habits of Mind. Habits encourage positive problem-solving, self-awareness, creativity, and dedication—lifelong skills that can be used in both academic and social settings.
Mathwire
A Collection of Logic Number Puzzles on the Hundred Board
What's my number? Spark mathematical thinking and have some fun with thirty number puzzles that pose a series of questions to guide learners towards number discovery.
West Contra Costa Unified School District
Investigating Special Right Triangles
Scholars first investigate relationships in the side lengths of 30°-60°-90° triangles and 45°-45°-90° triangles. This knowledge then helps them solve problems later in the lesson about special right triangles.
K20 LEARN
Reframing the Argument: Examining Argument through a New Lens
As part of a study of crafting compelling arguments, class members tackle the problem presented in Lawrence Kohlberg's "The Heinz Dilemma." After discussing the dilemma with classmates, writers draft an essay with a claim, support it...
Mathematics Vision Project
Probability
Probability, especially conditional probability, can be a slippery concept for young statisticians. Statements that seem self-evident on the surface often require a daunting amount of calculations to explicate, or turn out to be not so...
Willow Tree
Area of Common Geometric Figures
Scholars can use area formulas, but can they apply what they know about area? The lesson challenges learners to think logically while practicing finding area of shapes such as rectangles, circles, parallelograms, triangles, and other...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Illustrative Mathematics
Sum of Angles in a Polygon
How can learners use algebra to solve a geometry problem? Help learners create an equation that shows the relationship between the number of sides of a polygon and the sum of the interior angles. Students are asked to divide the...
Willow Tree
Solving Equations and Inequalities with Absolute Value
The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...
West Contra Costa Unified School District
Polynomial Division
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II activity that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
Education Bureau of Hong Kong
Fundamentals of Critical Thinking
Analyzing arguments is key to critical thinking. Colorful slides teach viewers how to recognize the structure of an argument, the claims, and the validity of the evidence used to support an argument. Then, provided scenarios permit...
Teach Engineering
Egg Drop
Don't drop the ball on the resource ... drop an egg instead! A teacher-led demonstration has the class consider how to drop eggs into glasses when a tray is in the way. Hint: If you've ever seen a magician pull a tablecloth off a table,...
American Statistical Association
Happy Birthday to . . . Two?
How many people do you need in a room before two likely share the same birthday? Scholars consider this puzzle by analyzing a set of data. They ponder how to divide the data and determine the proper size of a group for this event to...
Workforce Solutions
Customized Resumes
Resumes are key to the job search process. Class members examine sample job postings and critique sample resumes to understand how to craft a strong resume.
Workforce Solutions
The Good, the Bad, and the Ugly (of Applications)
Creating a complete and professional-looking job application is an essential part of the employment process. Class members review sample applications for an entry-level position to determine who should be interviewed for the job.
Science 4 Inquiry
Trick or Science: Catching the Light
Your class might be surprised to learn that mirrors have been around since the first century AD! Young scientists explore reflection and refraction of light through a series of challenges. They use this knowledge to design their own...
Arizona Department of Education
Introduction to Integers
Welcome to the backward world of negative numbers. This introductory lesson plan teaches young mathematicians that negative numbers are simply the opposite of positive numbers as they use number lines to plot and compare single-digit...
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...
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