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Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Mathematics Assessment Project
Designing a 3d Product in 2d: a Sports Bag
Sew up pupil interest with an engaging, hands-on lesson plan. Learners first design a sports bag given constraints on the dimensions of fabric. They then evaluate provided sample responses to identify strengths and weaknesses of included...
Virginia Department of Education
Independent and Dependent Variables
Investigate the relationship between independent and dependent variables. Individuals begin by identifying independent and dependent variables from different problem situations. Then, using specific guidelines, they create posters...
Curated OER
Towers of Steel
This lesson starts with geometers discussing how to find the volume of a cone and pyramid, using what they know about the volume of a cylinder or prism. Then, using the formulas, they calculate the volume of cones and...
Curated OER
Worksheet Five - Limits
In this limit worksheet, students use algebra to compute limits. They find the slope of the secant line and find a formula giving the slope of the secant line. This one-page worksheet contains six multi-step problems, with answers.
Curated OER
Math Practice: Circles
In this circle worksheet, students solve 8 problems: finding percentage increase, finding differences in area and perimeter, finding circumference and area.
Curated OER
Square Circles
Young scholars analyze and demonstrate how a circle can be measured in square units and examine how diameter, circumference and radius are related.
Curated OER
Perimeter, Circumference and Area
In this measurement worksheet, students identify the area, perimeter and circumference of a diagram. They also find the size of a pond based on the diagram shown on the sheet. Finally, students calculate how much carpet is needed to be...
Curated OER
Math and Architectural Design in Relation to Rebuilding The World Trade Center
Young scholars discover building plans and practice reading measurements. In this architectural design lesson plan, students investigate the areas of the specific World Trade Center locations that need to be rebuilt and determine...
Curated OER
Why are Bubbles Spheres
Learners calculate the surface area of different polygons. In this geometry instructional activity, students practice calculating the volume of spheres. They work with cones, cylinders and rectangular prisms.
Curated OER
Moving On: Octagoning the Circle
Young scholars explore circles through the use of octagons. They inscribe a circle in a regular octagon and find the area and perimeter of the hexagon with respect to the radius of the circle. Students present their findings to the class.
Curated OER
Measurement, Perimeter and Area
Students explore the concept of measurement. In this measurement lesson, students collect data about themselves such as height, finger length, neck circumference, foot length, and other body measurements. Students cut squares...
Curated OER
Graphs of Formulas
In this worksheet students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.
Illustrative Mathematics
Shape Hunt Part 2
Shapes are everywhere in the world around us, from rectangular doors to the circular wheels of a car. The second activity in this series opens the eyes of young mathematicians to this wonderful world of shapes as they search the...
Teach Engineering
Stay in Shape
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Curated OER
Discovering Pi
Sixth graders measure circumference and diameter to the nearest eighth of an inch, record measurements on a spreadsheet, and use the internet to complete a "scavenger hunt" of facts concerning pi.
Curated OER
Worksheet 5 - Squeeze Theorem
In this Squeeze Theorem worksheet, students compute limits, identify a graph that represents the Squeeze Theorem, and graph given functions. This two-page worksheet contains seven multi-step problems.
Curated OER
Penny
Students explore the concept of equivalency. In this equivalents lesson, students use pennies to show equivalency as they divide them into groups. Students also convert the pencils into decimals and fractions.
Curated OER
Challenge: Skills and Applications Lesson 1.7
In this geometry worksheet, students find the circumference of a circle. They find the perimeter and area using the correct formula. There are 8 questions.
Curated OER
Maximum and Minimum Points
In 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...
Alabama Learning Exchange
It's Around There Somewhere! Perimeter, and Circumference
Explore the concept of building equations for perimeter and circumference. Learners use rulers to measure the perimeter of half a sheet of paper. Then fold the sheet of paper numerous times, each time measuring perimeter. ...
Curated OER
Around We Go
Fourth graders investigate a range of circles, each with a different radius, diameter and circumference and assemble this information in their search for relationships.The measurement of circles and the relationships to be found within...
Curated OER
Year Book Page Special Shape Collage
Students design a collage of pictures for a yearbook that make a shape. They determine the area of the shape and the price of putting the collage in the yearbook.