Teacher Sample

8th Grade Standard - 8.NS.A.2

The Number System

8.NS.A.2

Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π 2 ). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

LESSON: TREASURE HUNT

How far away is the final map point?

The best way to visualize and use irrational numbers is to approximate them with a decimal. In Treasure Hunt, Caterina Fenn hires Tiberius Picklebottom to help her find her grandfather’s hidden treasure. Based on a map and a few calculations, Tiberius determines the distance to the treasure is √2 miles. They must approximate this distance in order to use the theodolite (the measuring device), and want to be as accurate as possible to minimize their digging efforts.

Day 1

The Math Simulator™

1. Immersion

  • Play Treasure Hunt Immersion video, whole-class.
  • Restate the question: How far away is the final map point?
  • Facilitate classroom discussion, ask students: "What are your ideas to help the Professor?"
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2. Data & Computation

  • Print the Data Artifact, cut into halves, and distribute to students.
  • Allow students work time. Then ask students "Does your answer make sense?"
  • Consider using a sharing protocol to lead to mathematical insights and/or highlight misconceptions.
  • Allow students to revise their work.

3. Resolution

Answer: The final map point and treasure is approximately 1.41 miles away!

Day 2

Clicker Quiz

 

1. Have your students go to midschoolmath.com/clicker.

2. Click on Launch Clicker Quiz and note Clicker Quiz #.

3. Have students enter quiz code on their screens.

4. Launch Clicker Quiz.

5. Review Clicker Quiz results and prompt students to make connections to the Math Simulator.

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Day 3

Practice Printable

 

1. Print and distribute the Practice Printable to your students.

2. Print the Teacher Answer Key.

3. Give a short 5-7 minute teacher lecture on the concept of the standard.

4. Have students complete the Practice Printable.

5. Have students complete the Student Reflection Assignment.

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ADD:

Test Trainer Pro

 

15 minutes per day of the world class adaptive program "Test Trainer Pro"

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