Curated OER
Reflection
In this math worksheet, students practice their skills in constructing reflections of shapes that are on a grid. This worksheet has 13 problems for the students to solve, and includes an answer sheet.
Curated OER
Scaling Down Art
Learners change the scale of a work of art using ratios, percentages, and proportions. While this is technically an art lesson, there is quite a bit of mathematics involved in converting to the correct scale.
Concord Consortium
Track of Dreams
Don't run from the resource—sprint to it. Using an engaging performance task, scholars consider a set of constraints on the creation of a track. Given several possible designs, they determine if the designs meet the constraints. If not,...
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.
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on...
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
101 Questions
Car Caravan
Keep playing with those old toy cars! Pupils estimate the number of toy cars in an art installation. The only information they receive is a picture showing the toy cars arranged in concentric rings and the diameter of the overall...
Curated OER
Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
Curated OER
Perimeter Patterns
Sixth graders calculate perimeter of rectangles with different dimensions. In this perimeter lesson, 6th graders define length, width and perimeter. Students complete a perimeter activity using a web tool to change the...
Curated OER
Determining Beam Stress and Deflection with COSMOSXpress
Students analyze cantilever stress using COSMOSXpress. In this engineering activity, students calculate the beam's maximum deflection. They investigate the effect changing beam dimensions.
Curated OER
Mystery of the Megaflood
Students will use everyday items and speeds to describe the dimensions of a massive flood that occurred in the Pacific Northwest near the end of the last ice age.
Curated OER
Who Wants to Carry a Million?
Learners, in groups, determine the volume of a box large enough to hold a million dollars. They calculate the dimensions of a bill and the volume of the money.
Texas Instruments
Confectionery Delight
High schoolers explore the problem of maximizing the volume of a box by making a physical model and observing how changes in the orientation of the paper changes the volume. They use the symbolic capacity of their calculators and...
Curated OER
Matrix Multiplication
Students solve matrices using multiplication. In this algebra lesson plan, students identify the properties needed to multiply matrices. They define the terms matrix and dimensions.
Curated OER
Let's Make a Compost Cake
Students create a compost cake. For this gardening and decomposition science lesson, students review and describe the "nutrient cycle." Students create a compost pile, measure and record the dimensions and temperature of the pile, and...
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
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a...
Curated OER
Worksheet 22-Fall 1995
For this math worksheet, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.
Curated OER
Quiz 9
In this rate of change worksheet, students complete two essay questions. They describe the rate of change for a rectangle. Students tell the dimensions of a rectangular pen that will result in the maximum area.
Curated OER
Cylinder: Student Worksheet
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Curated OER
Geometry and Shapes
High schoolers discuss and identify polygons and lines. In this geometry lesson plan, learners review liner, square and cubic units so they can incorporate it into the lesson plan on measurement and creating packing that are cost effective.
Physics Classroom
Newton's Second Law
Physics formulas provide more interest than simple math equations thanks to an informative installment from the series on Newton's laws of motion. The formulas guide pupils' thinking about how varying a quantity affects the rest of the...
Curated OER
Effect on Surface Area and Volume
Students identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They discuss...
Curated OER
Exploring Volume of Cylinders
Tenth graders investigate the volume of a cylinder. In this geometry lesson, 10th graders create three-dimensional cylinders and use a ruler to determine the dimensions. The lesson progresses to the use of the formula to find...