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College Board
2009 AP® Calculus AB Free-Response Questions
What was one of the big takeaways from 2009? By reviewing the released AP® Calculus free-response questions, pupils and teachers realize that performing mathematics is not all there is to doing well on the exam. Several items require...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
College Board
2009 AP® Calculus BC Free-Response Questions
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
Texas Instruments
Logistic Growth, Differential Equations, Slope Fields
Investigate differential equations with your class. They use the TI-89 to explore differential equations analytically, graphically, and numerically as the examine the relationships between each of the three approaches.
College Board
2005 AP® Calculus BC Free-Response Questions Form B
Let's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...
College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
Virginia Department of Education
Exploring Statistics
Collect and analyze data to find out something interesting about classmates. Groups devise a statistical question and collect data from their group members. Individuals then create a display of their data and calculate descriptive...
CK-12 Foundation
Scientific Models: Mathematical, Physical and Conceptual
This is one super model interactive! Middle and high school science scholars examine scientific models through a simple resource. Guided, hands-on practice allows them to classify conceptual, mathematical, and physical models. Other...
Willow Tree
Midpoint and Distance Formulas
The shortest distance between two points is a straight line. Learners use the Pythagorean Theorem to develop a formula to find that distance. They then find the midpoint using an average formula.
Common Core Sheets
Using Order of Operations
With two versions and an answer key, this order of operations activity is easily accessible for most learners to practice their skills.
EngageNY
More on the Angles of a Triangle
Angles and triangles: they're all connected. Uncover the connections between angles in triangles. Scholars learn how to find both exterior and interior angle measures in triangles. The lesson emphasizes the vocabulary related to these...
Utah Education Network (UEN)
Create, Classify, and Sort Quadrilaterals
Quadrilaterals can be quirky! Fourth graders use geoboards and bands to create four-sided figures. They analyze the attributes such as angle size and presence of parallel sides. As a result they learn to differentiate among...
EngageNY
Magnitude
Build an understanding of the powers of 10. Pupils investigate the results of raising 10 to positive and negative powers. They relate this understanding to the magnitude these powers represent in this seventh instructional activity of 15.
EngageNY
Decimal Expansions of Fractions, Part 2
Develop your pupils' understanding of fractions and their decimal equivalence using the 12th lesson in this series. Scholars learn an alternative to long division that results in converting fractions to decimals that emphasize fractional...
EngageNY
An Exercise in Creating a Scale Drawing
Design your dream classroom. The lesson plan contains an exercise to have teams create a scale drawing of their dream classroom. Pairs take the measurements of their classroom and furniture and create a scale factor for them. To finish...
EngageNY
Scientific Notation
Young mathematicians learn how scientific notation is meant to save time. Part 10, out of a series of 15, asks scholars to recognize the correct use of scientific notation and finish by adding and subtracting numbers using...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Math: The Cathedral Project
Second graders take a field trip to a nearby church or other historical building and examine it from a mathematical perspective. In groups, they calculate the seating capacity, describe the window patterns, differentiate types of...
Curated OER
Most and Least
Which one has the most? Each row has three sets of identical objects, and scholars compare the sets to determine which has the most or the least (they find the most for the first four and the least for the last four). One example is...
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to...
Curated OER
Tell Us All: Tools for Integrating Math and Engineering
What a scam! Middle and high schoolers pose as journalists exposing consumer fraud. In this lesson, they write an article for a magazine using data collected during previous investigations (prior lessons) to defend their findings that a...
Curated OER
Math: Real Time and Live
Get an interdisciplinary edge. Scholars study air contamination and slope. They record the time it takes for air fresheners to reach them at variable distances. They document their times, classify them by distance, and draw a scatter...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...