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

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 notation back into standard form.

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.

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

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

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

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

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

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

Answer 3.25 x 103

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

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

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

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

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

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

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

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

Independent Practice Write in standard form: 4.76 x 106 B. 6.21 x 103 C. 3.16 x 105 2.71 x 108 E. 5.44 x 10-6 F. 3.54 x10-7 4.32 x 10-4 H. 7.8 x 10-6 I. 7.8 x 10-1 Write in scientific notation: 277,000 K. 523,000,000 L. 345,000,000 654,000 N. 0.037 P. 0.0000767 Q. 0.00045 R. 0.00000232 S. 0.09004

Answer Key for Independent Practice 4,760,000 6,210 316,000 271,000,000 .000544 .000000354 .000432 .0000078 .78 J. 2.77 x 105 K. 5.23 x 108 L. 3.45 x 108 M. 6.54 x 105 N. 3.7 x 10-2 P. 7.67 x 10-5 Q. 4.5 x 10-4 R. 2.32 x 10-6 S. 9.004 x 10-2

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.

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.