Teach Engineering
Load It Up!
See how a marshmallow can hold up a bridge load. Teams take a closer look at the design of bridge piers. They determine the types of loads that might affect a bridge, and, using that information, they calculate the needed cross-sectional...
College Board
2009 AP® Calculus AB Free-Response Questions Form B
Get a free peek into a calculus exam. Released free-response items from the AP® Calculus AB exam provide teachers and pupils examples of how topics may appear. The six questions cover topics such as growth rates, volumes of rotations,...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
College Board
2008 AP® Calculus BC Free-Response Questions Form B
This is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...
Curated OER
Applications of Hyperbolas
For this hyperbola worksheet, 10th graders solve and complete 6 different problems. First, they determine the cross-section of a hyperbolic paraboloid curve. Then, students find where the cone intersects the ground in hyperbola as...
Curated OER
Solid Rocket Boosters-II
In this solid rocket boosters instructional activity, students solve 2 problems using a grid showing a cross section of a proposed solid rocket booster. Students complete the grid and shade the rings of combustion in 15-second step...
Curated OER
Cookie Topography
Students construct a cross section diagram showing elevation changes on a "cookie island." Using a chocolate chip cookie for an island, they locate the highest point in centimeters on the cookie and create a scale in feet. After tracing...
Curated OER
Hubble Spies Colliding Asteroids!
In this colliding asteroids worksheet, students are given the equation to determine the collision time for asteroids. Students use this equation to solve 4 problems including finding the area of a cross-section through the body of an...
Curated OER
Solids of Revolution - Disks
Young mathematicians solve the volume using the disk method in this calculus lesson. They revolve a graph around the x-axis and calculate the volume. They use the TI to see the revolving around the x-axis and create a virtual cross...
Alabama Learning Exchange
How Old Is That Tree?
Fifth graders study environmental changes by examining the annual rings of a cross-section of a tree trunk. They access websites to complete a worksheet on the parts of a tree. They count the annual rings on a tree slice while observing...
Virginia Department of Education
Classifying Angles
Don't be obtuse, this geometry unit is the just the right resource for educating the acute young minds in your class. From classifying and measuring angles, to determining the congruence of shapes, this resource covers a wide range of...
Curated OER
Children's Literature Across the Curriculum Ideas
You can keep this printable idea sheet and use when you're in a tight spot. It contains cross-curricular ideas that span every subject while relating to the African tale, "Anasazi the Spider." Learners will act, write, move, count, and...
It's About Time
Coal and Your Community
When I was young, I was afraid of the dark. Now I am afraid of getting the electric bill. This fourth lesson in a series of eight focuses on coal mining, conservation, and energy efficiency. Scholars start by taking data from a table and...
EngageNY
Modeling Riverbeds with Polynomials (part 2)
Examine the power of technology while modeling with polynomial functions. Using the website wolfram alpha, learners develop a polynomial function to model the shape of a riverbed. Ultimately, they determine the flow rate through the river.
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
Inside Mathematics
Graphs (2007)
Challenge the class to utilize their knowledge of linear and quadratic functions to determine the intersection of the parent quadratic graph and linear proportional graphs. Using the pattern for the solutions, individuals develop a...
Curated OER
Math - "Where Am I?" Position in Space
A big part of understanding mathematical concepts is by mastering the vocabulary associated with those concepts. Students identify and explore positional/directional words as they relate to math. Students answer eleven fill-in-the-blank...
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 to learn the...
Curated OER
Visualizing Solids of Revolution - Washers
Students solve the area of a cross section. In this calculus instructional activity, students solve areas rotated and bounded by two functions. They solve using the washer method.
Curated OER
Play Dough Day
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
Curated OER
The Pyramid: Estimating Volumes
For this estimating volumes worksheet, students determine the area and volume of pyramids. They draw a cross-section of the pyramid. This four-page worksheet contains approximately 20 problems.
Curated OER
Compare Fractions Using Fraction Circles
Fourth graders practice ordering fractions using models and drawings. In this math model lesson plan, 4th graders utilize colored blocks and drawings to show an equal representation of given fractions. Students compare and contrast the...