Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, 10th graders examine the effect of changing the dimensions of a figure proportionally on the perimeter, circumference, and area. The one page worksheet contains six problems. Answers are...
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Curated OER
How Big Is That Star?
Aspiring astronomers study stars. They compare stars and explain the relationship between radius, mass, and diameter. By creating a star simulation, they discover how a binary star system's orbit can cause changes in the observed...
Curated OER
Math Journal: Functions and Coordinate Geometry
Fifth graders examine the many uses of coordinate grids. In this graphing lesson, 5th graders write data driven equations, discuss the x and y-axis, and determine if using 2 or 3 ordered pairs is better. Students complete several...
Teach Engineering
Discovering Relationships Between Side Length and Area
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Curated OER
How Big is Barbie?
High schoolers measure various dimensions of a male and a female dolls body and scale them proportionally to average human measurements. They calculate the appropriate scale factor (magnitude) to enlarge their doll and apply that scale...
Curated OER
Maximize area
For this subscription-based activity, algebra learners model changes in the length and width of a rectangle to determine the maximum area possible for a given perimeter and solve several application problems involving area, included in...
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Alabama Learning Exchange
Dog Gone Again!
Here is a real-life lesson! Learners must plan the dimensions of a rectangular fence to reign in a runaway dog. They survey what shape and size fence is needed and use formulas to find perimeter and area of the fence. They explore what...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Curated OER
Double, Double: Looking at the Effect of Change on Perimeter, Area and Volume
Students explore perimeter, volume, and area. In this math lesson, students explore how changes in dimensions of geometric shapes affect the perimeter, area and volume of the various shapes. Students investigate the results when the...
Curated OER
Cube Coloring Problem
Upper elementary and middle schoolers describe the various features of unit cubes, such as edges, corners, and faces. They also discuss how to represent measurements of a cube using exponents before engaging in various thinking and...
Curated OER
Changing Twines: Exploring Area and Perimeter
Third graders review formulas for area and perimeter in quadrilaterals. They arrange pre-cut twine on a centimeter graph paper to create non-congruent quadrilaterals. They calculate the perimeter and area of each form.
Curated OER
Two for One Box Company
Eighth graders experiment to decide if a box that is twice as big holds twice a much. They work the concept of volume and how changing dimensions affect it.
Curated OER
Scaling Down Art
Students 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.
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...
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 lesson, 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
Learners solve matrices using multiplication. For this algebra lesson, students identify the properties needed to multiply matrices. They define the terms matrix and dimensions.