Big Kid Science
Measuring Shadows Using an Ancient Method
How did ancient peoples determine the height of really tall objects? Young scientists and mathematicians explore the concept of using shadows to measure height in a hands-on experiment. Paired pupils measure shadows, then calculate the...
Curated OER
The Shadow Knows: Student Worksheet
Pairs of pupils get together in order to measure the heights and lengths of their shadows. They use these measurements in order to predict the height of other friends in class. A good activity to practice measuring things that cannot be...
Florida Center for Instructional Technology
The Shadow Knows: Student Worksheet
How can you measure the height of a tree or telephone pole with only a short measuring tape? It's not a problem when you start by measuring your shadow and your height to create a ratio to use with taller objects. Additional...
Curated OER
Countdown Challenge: Shadow Sleuth
In this shadow sleuth worksheet, students use proportions and indirect measurement to determine the measurement of given objects. This one-page worksheet contains three problems.
Lake Afton Public Observatory
Shadows, Angles, and the Seasons
Shine some light on the topic of seasonal change with this collection of activities. Whether it's by measuring the change in the length of their shadows, or modeling the earth's orbit around the sun using a lamp and a globe, these...
Curated OER
The Shadow Knows: Student Worksheet
In this math worksheet, students will work in small groups to measure the height of objects, such as trees, using their shadows. Students will be able to determine heights of objects that cannot be directly measured.
Curated OER
"Bear Shadow" Activity Card
In this literature and science worksheet, students listen to a family member as they read "Bear Shadow." They conduct experiments that with light, shadows, and measuring tools before recording the date they did the experiment. They...
EngageNY
Modeling Using Similarity
How do you find the lengths of items that cannot be directly measured? The 13th installment in a series of 16 has pupils use the similarity content learned in an earlier resource to solve real-world problems. Class members determine...
Curated OER
Angle Measurements
In this angle measurement worksheet, 10th graders solve and complete 9 different word problems. First, they read the word problems carefully. Then, students draw a picture that represents each problem and solve. Finally, they find side...
Curated OER
Ratio Word Problems
In this ratio learning exercise, students solve and complete 10 different problems that include determining various ratios of events. First, they determine the height of a building given the time of day and shadow it casts. Then,...
Curated OER
My Tree Observations
In this tree observation worksheet, students pick a tree that they observe over the course of a school year. They make observations, they sketch the tree, they take photographs of the tree, they get a leaf sample. They estimate the tree...
Curated OER
Ten Multiple Choice Length Problems
In this distance activity, students calculate the lengths of sides and diagonals of figures. Students also compute lengths in shadow problems. The solutions are provided by clicking on the "show answers" tab at the bottom of...
Curated OER
Quiz: Similarity
In this similarity worksheet, students use the characteristics of similar figures to determine the length of one side of a polygon, the height of a tree, or the shortest side of a triangle. They also identify similar figures. ...
Curated OER
Right Triangle Trigonometry
In this geometry worksheet, 10th graders use right triangle trigonometry to find the missing angle measure. The two page worksheet contains fourteen problems. Answers are provided.
Curated OER
Lesson 3-5: Proportions and Similar Figures
In this similar figures worksheet, students use proportions to solve 6 short answer and multiple choice questions. Students use proportions to answer questions about map scales and height of trees given shadow lengths.
Curated OER
Similar Figures
In this geometry worksheet students explore similar polygons and determine measure of missing sides and angles. Students use indirect measurement with similar triangles and determine the area and volume of similar figures. The seven...
Curated OER
Trigonometry Multiple Choice
In this geometry learning exercise, students solve word problems. They find the height and distance of triangular measurements. They identify missing angles using triangular properties. There are 10 questions.
Curated OER
Angles of Elevation and Depression
In this angles of elevation and depression worksheet, 10th graders solve 4 word problems that are related to determining the angles of elevation and depression. First, they define angle of elevation and angle of depression as used in the...
Curated OER
Algebra Using Proportions
For this algebra using proportions worksheet, 10th graders solve 14 various types of problems by applying algebra methods to geometry. First, they solve each of 8 proportions using cross products. Then, students use the triangle shown...
Bowland
Sundials!
Time to learn about sundials. Scholars see how to build sundials after learning about Earth's rotation and its relation to time. The unit describes several different types of possible sundials, so choose the one that fits your needs — or...
NASA
Lights on the International Space Station
Groups explore illumination with NASA's Lighting Environment Test Facility (LETF) as a context. Using the TI-Nspire app, groups determine the lux equation that models their simulation. They then use the lux equation to...
Curated OER
Apparent Motion of the Sun
Demonstrate the path of the sun across the sky at different times of the year with an engaging science lesson. Learners use a series of questions and diagrams to examine the movement of the sun and appearance of the sky around...
Curated OER
Use Proportions - Problem Solving 17.5
In this proportions worksheet, 6th graders use the problem solving steps of understand, plan, solve and look back to solve a story problem using proportions.
Curated OER
Student Exploration: Penumbra Effect
In this penumbra effect worksheet, students explore the internet program Gizmo to learn about the penumbra effect and answer short answer questions about it. Students answer 13 questions.