EngageNY
Roots of Unity
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
North Carolina State University
Construction
Engineering design projects serve as great opportunities for collaborative problem solving. In this case, students work in small groups designing, building, and eventually testing a structure that meets a teacher-specified objective. It...
Illustrative Mathematics
Return to Fred's Fun Factory (with 50 Cents)
The penny arcade gets the statistics treatment in this fun probability investigation. A non-standard game of chance is described and then the class is set loose to find missing probabilities, determine common outcomes, and evaluate...
Balanced Assessment
Fermi Area
Discover creative ways to use surface area formulas. In the assessment task, scholars apply estimation strategies to determine surface area in non-routine problems. They consider surface area of kitchen sponges, rock salt crystals, and...
College Board
2000 AP® Computer Science A Free-Response Questions
Coding works for other fields. The free-response questions for AP Computer science require pupils to develop code to solve a problem. Problems range from creating a histogram to developing an encryption program. Teachers use the...
Concord Consortium
Outward Bound
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
Flipped Math
Calculus AB/BC - Unit 2 Review: Differentiation
Tie up everything in one differentiable bow. Pupils work through 20 problems to review the concepts from the unit. The problems range from finding the average rate of change to finding the derivatives of various functions that require...
Flipped Math
Calculus AB/BC - Exploring Accumulation of Change
Add up area to find total change. Pupils learn what it means to find the area under a curve and how to calculate it geometrically. They first find the accumulation of change given a rate of change function. Scholars then apply that...
Flipped Math
Modeling with Quadratics
Do some interpretive modeling. Class members watch three examples of interpreting key features of a graph of a quadratic to find solutions to a real-world problem. Learners review how to find the key features on a graph using technology...
Flipped Math
Simulations
Simulate an exciting graphing calculator-based lesson. Individuals watch and participate creating simulations using the random number generator in a graphing calculator to answer probability problems. Learners then build simulations to...
HHS Math
Group Worksheet 1F - Graphing and Finding Zero
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
Scholastic
Study Jams! Addition & Subtraction Equations
Zoe is decorating a cake for her grandpa's birthday and needs to know how many more candles to add. Follow along as she explains how to set up and solve algebraic equations in this step-by-step presentation. Equations with negative...
Birdville Independent School District
Friendly Numbers
There are a number of different strategies young mathematicians can use when adding two-digit numbers. This instructional activity focuses on making addition easier by rounding the addends to friendly numbers, with the resulting sum...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Illustrative Mathematics
Finding Trig Values
Let's keep trigonometry simple. When given a cosine ratio, learners must use the clues about the quadrant to determine the sine and tangent ratios. The answer key has a complete worked-out solution to help guide pupils through the problem.
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Balanced Assessment
Shirts and Flags
Learn the importance of geometry to tailors. Given a shirt sewing pattern, scholars determine the actual size of the shirt. After which they answer questions that require problem solving and extending their understanding of scale.
Mathed Up!
Angles: Parallel Lines
Viewers are presented with seven problems with parallel lines and angle relationships and must use the given information to find the measures of specific angles. To finish, they explain their process in finding the measures in the problems.
Mathed Up!
Angles in Polygons
Show your class that finding angle measures is a regular calculation with a resource that provides 12 problems dealing with the measures of angles in regular polygons. Pupils use formulas for the sum of measures of angles in a polygon to...
101 Questions
CoinStar
Would you rather have a bowl of dimes or a bowl of quarters? A video introduces the problem by presenting two bowls, one full of quarters and another full of dimes. Learners use information from a CoinStar receipt to calculate the number...
Mathed Up!
Collecting Like Terms
Gather all similar terms together. Initially created to aid in the review of the General Certificate of Secondary Education, the resource provides opportunities to practice collecting like terms in algebraic expressions and multiplying...
Concord Consortium
Sloppy Student II
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the answer and the...
Radford University
Throwing a Football
Use mathematics to help the football team. Pairs brainstorm how to approach finding a solution to a problem to help the quarterback complete more passes. By researching and collecting data, the teams derive an equation to represent the...
Flipped Math
Calculus AB/BC Mid-Unit 6 Review: Integration and Accumulation of Change
Accumulate the content so far. Learners review the content from the first five lessons dealing with accumulation functions. The eight problems go over finding maximums, minimums, concavity, points of inflection, and intervals of increase...