 Author:
 Jennifer Dunmire
 Subject:
 Mathematics, Geometry, Measurement and Data, Trigonometry
 Material Type:
 Activity/Lab
 Level:
 Middle School, High School
 Tags:
 License:
 Creative Commons Attribution
 Language:
 English
Indirect Measurement and Similar Right Triangles Lab
Overview
On a hike with her children, Mrs. Thompson noticed the reflection of the top of a pine tree in a puddle in the path. Her son, who is almost a foot taller than she is, could not see the top of the tree in the puddle until he moved. Why did her son need to move to see the top of the tree? How can they use similar right triangles and indirect measurements to find the height of the tree?
Using Similar Right Triangles and Indirect Measurement in real world settings.
Title: Indirect Measurement and Similar Right Triangles Lab
Section Name = Short Lesson Overview 1 sentence (Not to exceed 250 words) 

Attach Section Resources/Links: Any worksheets, presentations, illustrations, assessments or activities. (Preferably in PDF)
Data Recording Sheet: https://docs.google.com/document/d/1ALOVlIFgnPwSPh3orSAOxhVh9lrpVaM9wz7DYGVoIHY/edit?usp=sharing
Bell Ringer: https://docs.google.com/document/d/19SWTlDufw6xkF4_PYtgUP9XCD6EGHZeMHqoC5d0aM/edit?usp=sharing
Rubric: https://drive.google.com/file/d/0BxV1LO6iHp1yZmRuV1JVbGIxT1k/edit
Main Content Section (Visible in Student View) (In Bee lesson example, it was left blank)
Add to Instructor’s Notes:
Timeframe: 6090 minutes 
Stage 1  Desired Results
Big Idea(s)& Essential Questions 
Big Ideas: On a hike with her children, Mrs. Thompson noticed the reflection of the top of a pine tree in a puddle in the path. Her son, who is almost a foot taller than she is, could not see the top of the tree in the puddle until he moved. Why did her son need to move to see the top of the tree? 
Essential Questions:

Students Will Know  Students Will Be Doing 


Stage 2  Evidence of Understanding
Assessments (Formative and Summative):  Performance Task(s) 


Stage 3  Lesson Learning Targets
Learning Activities: Learning targets are written from the students perspective. I can…


Lesson Procedures:  
Materials  Activities  Presentations  Assessments 
Bell ringer::




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PA Core Standards / Next Generation Science Standards  
T & E Education  Science Education  Mathematics Education  Computer Science  CEW 
3.2.7B B. Apply process knowledge to make and interpret observations. • Measure materials using a variety of scales. • Describe relationships by making inferences and predictions. • Communicate, use space / time relationships, define operationally, raise questions, formulate hypotheses, test and experiment, • Design controlled experiments, recognize variables, and manipulate variables. • Interpret data, formulate models, design models, and produce solutions. 3.2.7CC. Identify and use the elements of scientific inquiry to solve problems. • Generate questions about objects, organisms and/or events that can be answered through scientific investigations. • Evaluate the appropriateness of questions. • Design an investigation with limited variables to investigate a question. • Conduct a twopart experiment. • Judge the significance of experimental information in answering the question. • Communicate appropriate conclusions from the experiment. 3.2.7D D. Know and use the technological design process to solve problems. • Define different types of problems. • Define all aspects of the problem, necessary information and questions that must be answered. • Propose the best solution. • Design and propose alternative methods to achieve solutions. • Apply a solution. • Explain the results, present improvements, identify and infer the impacts of the solution.  CC.2.2.7.B.3 Model and solve real world and mathematical problems by using and connecting numerical, algebraic, and/or graphical representationsCC.2.1.7.D.1Analyze proportional relationships and use them to model and solve realworld and mathematical problems.CC.2.3.7.A.2 Visualize and represent geometric figures and describe the relationships between them. Standard  CC.2.1.HS.F.4 Use units as a way to understand problems and to guide the solution of multistep problems.Standard  CC.2.1.HS.F.5 Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.Standard  CC.2.2.8.B.2 Understand the connections between proportional relationships, lines, and linear equations.Standard  CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.Standard  CC.2.3.7.A.2 Visualize and represent geometric figures and describe the relationships between them.Standard  CC.2.3.8.A.2 Understand and apply congruence, similarity, and geometric transformations using various tools.Standard  CC.2.3.8.A.3 Understand and apply the Pythagorean Theorem to solve problems.Standard  CC.2.3.HS.A.3 Verify and apply geometric theorems as they relate to geometric figures.Standard  CC.2.3.HS.A.5 Create justifications based on transformations to establish similarity of plane figures.Standard  CC.2.3.HS.A.14 Apply geometric concepts to model and solve real world problems.  13.3.5A. Explain how student attitudes and work habits transfer from the home and school to the workplace. B. Explain the importance of working cooperatively with others at both home and school to complete a task. C. Identify effective group interaction strategies, such as, but not limited to: Building consensus Communicating effectively Establishing ground rules Listening to others 