EngageNY
Real-World Area Problems
Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.
EngageNY
Solving Area Problems Using Scale Drawings
Calculate the areas of scale drawings until a more efficient method emerges. Pupils find the relationship between the scale factor of a scale drawing and the scale of the areas. They determine the scale of the areas is the square of the...
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
Curated OER
Surface area of a cylinder
Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!
Curated OER
Algebra II - Lesson 10-3: Circles
For this equations of circles worksheet, students solve 4 short answer problems. Students find an equation of a circle given the center and radius.
EngageNY
Decimal Expansion of Pi
Develop a better understanding of the value of pi. Learners explore the area of a circle using estimation and graph paper. While continuing to estimate the area of the circle using smaller and smaller grids, the number pi emerges.
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Curated OER
Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Curated OER
Area Of A Circle
Fifth graders experience a lesson to investigate the methods for finding the area of a circle. They use the drawing of segments in order to visualize how a circle can be proposed of many parts. Then students brainstorm in order to derive...
Curated OER
Derivative
In this derivative worksheet, students determine the derivative and then find the value at a specified point for a given function. There are 3 questions.
Curated OER
Applications of Derivatives: Concavity and Optimization
For this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Curated OER
Cap-It to the Max
Eighth graders compare the volume of three cylinders constructed from the same size sheet of paper. They use concrete and graphical models to derive formulas for finding perimeter, circumference, area, and volume of two and three...
Curated OER
Fill and Wrap It Up
Pupils find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area, and volume...
Curated OER
Growing Circles
Students identify the equation to represent a circle. For this algebra lesson, students review properties of conics and how they are related. they use a robot to create a visual of circles and their application to the real world.
Curated OER
AP Calculus Practice Exam: BC Version - Part A
In this calculus instructional activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
Curated OER
AP Calculus Practice Exam
For this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
Curated OER
Worksheet 22-Fall 1995
In this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Curated OER
Worksheet 5
In this math learning exercise, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
Curated OER
Maximum and Minimum Points
For this maximum and minimum points worksheet, students solve and complete 12 various types of problems. First, they find the area of the smallest triangle given the point of intersection. Then, students find the volume of a box that has...
Curated OER
Discovering Pi
Sixth graders discover Pi. In this discovering Pi lesson, 6th graders measure the diameter and circumference of various circular objects. Students record their measurements in a table. Students discuss how Pi relates to the...
Curated OER
Worksheet 35 - Fall 1995
In this math worksheet, students sketch the graphs labeling the point of intersection in the first quadrant. Then they find the area of Ω.
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Curated OER
Sudoku Puzzle: Logs and Exponentials
In this logarithms and exponential worksheet, students solve 29 multiple choice problems. Students use their answers to solve a sudoku puzzle.