Scientific Notation

1. 3.71 x 104 = 37,100 Scientific Notation Written by: James Wiens Newton, Kansas

2. Instructor Notes • Subject Area(s): Math • Grade level: 7th grade • Lesson Length: 50 minute class period • Synopsis: Use scientific notation to write very large and very small numbers. • Objective/goals: Students will change numbers from standard form into scientific notation and from scientific notationback into standard form.

3. Instructor Notes • Standard: ▲equivalent representations of rational numbers and simple algebraic expressions, e.g., you are in the mountains. Wilson Mountain has an altitude of 5.28 x 103 feet. Rush Mountain is 4,300 feet tall. How much higher is Wilson Mountain than Rush Mountain?(KS standard 7.1.1.A1a) • Pre-requisite skills: Vocabulary – Standard form, Scientific notation, exponent, base number. • TurningPoint functions:standard question slides • Materials: All instructional points and practice problems are provided within the power point slides. Practice questions are designed to be used with the TurningPoint clickers.

4. Lesson Outline • Warm-up: Exponents / moving decimal • Setting the Stage: Video lesson • Definitions / Key Concepts • Guided practice: Turning Point Questions • Independent practice: Paper & pencil • Closure: Write about scientific notation

5. :08 Answer Now Write each power of ten in standard notation. • 30 • 100 • 1000 103

6. Write each power of ten in standard notation. 60 1000000 10000 :00 Answer Now 106

7. Write each power of ten in standard notation. .01 -20 100 :00 Answer Now 10-2

8. Write each power of ten in standard notation. -.0004 .0004 10000 :00 Answer Now 10-4

9. There are 325,000 grains of sand in a tub. Write that number in scientific notation. Setting the Stage

10. Answer 3.25 x 103

11. Video Clip Lesson from Teacher Tube • Click on the link at the right to access a lesson about scientific notation from Teacher Tube. Click here to see the lesson

12. Definition • Scientific notation- is a compact way of writing numbers with absolute values that are very large or very small. • Glencoe McGraw-Hill. Math connects cours 3. pages 130-131

13. Scientific notation to standard form- • Multiplying by a positive power of 10 moves the decimal place to the right. • Multiplying by a negative power of 10 moves the decimal place to the left. • The number of places the decimal point moves is the absolute value of the exponent. • Glencoe McGraw-Hill. Math connects cours 3. pages 130-131

14. Standard form to scientific notation- Move the decimal point to the right of the first nonzero digit. Count the number of places you moved the decimal point. Find the power of 10. If the absolute value of the original number was between 0 and 1, the exponent is negative. Otherwise, the exponent is positive. Glencoe McGraw-Hill. Math connects cours 3. pages 130-131

15. :10 Answer Now What is 2.85 x 104 written in standard form • .000285 • 285 • 28500 • 2850

16. What is 3.085 x 107 written in standard form .0000003085 30,850,000 3085 308,500,000 :10 Answer Now

17. What is 1.55 x 10-3 written in standard form .00155 155 1550 .000155 :10 Answer Now

18. What is 2.7005 x 10-2 written in standard form 270.05 27005 .27005 .027005 :10 Answer Now

19. Independent Practice

20. Answer Key for Independent Practice

21. Closure / Summary • Explain why 32.8 x 104 is not correctly written in scientific notation. • What does a negative exponent tell you about writing the number in standard form.

22. References • Video Clip on Slide #11 is a link from the TeacherTube website which posted the video created by Studyzone.org • Key concepts and definitions (slides 12-14) taken from Glencoe McGraw-Hill. Math connects cours 3. pages 130-131 • Remainder of lesson designed and written by James Wiens, 7th grade math teacher, Newton Kansas.