How Tall is the Flagpole?

Grades 9-12 / Math / Geometry
CCSS: Math.HSG.SRT.B.5 Math.Practice.MP4 Math.Practice.MP5

Common Core State Standards

MATH

Math

HSG

High School: Geometry

SRT

Similarity, Right Triangles, & Trigonometry

B

Prove theorems involving similarity

5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

Practice

Mathematical Practice Standards

MP4

Model with mathematics.

Mathematically proficient students can apply the mathematics they know to solve problems arising in everyday life, society, and the workplace. In early grades, this might be as simple as writing an addition equation to describe a situation. In middle grades, a student might apply proportional reasoning to plan a school event or analyze a problem in the community. By high school, a student might use geometry to solve a design problem or use a function to describe how one quantity of interest depends on another. Mathematically proficient students who can apply what they know are comfortable making assumptions and approximations to simplify a complicated situation, realizing that these may need revision later. They are able to identify important quantities in a practical situation and map their relationships using such tools as diagrams, two-way tables, graphs, flowcharts and formulas. They can analyze those relationships mathematically to draw conclusions. They routinely interpret their mathematical results in the context of the situation and reflect on whether the results make sense, possibly improving the model if it has not served its purpose.

Download Common Core State Standards (PDF 1.2 MB)

Common Core State Standards

Math

Math

Practice

Mathematical Practice Standards

MP5

Use appropriate tools strategically.

Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.

Download Common Core State Standards (PDF 1.2 MB)

           In Partnership with

Length

12 minutes

Objective

Use indirect measurement to find the height of the school flagpole

Questions to Consider

  • How does Mr. Pack assess and further his students' knowledge of similarity criteria?
  • Why did Mr. Pack have students measure in meters?
  • How does Mr. Pack monitor and respond to students' learning needs?

Watch all the videos in this series: Common Core Math: Differentiating for Special Education.

Common Core Standards
Math.HSG.SRT.B.5, Math.Practice.MP4, Math.Practice.MP5

Supporting Materials

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  • How Tall is the Flagpole Transcript

  • Student Handout.PDF

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