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Published byGavin Sanders Modified over 8 years ago
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Objectives: ◦ Today I will be able to: Apply math skills to problem solving. Apply scientific notation to problem solving. Calculate multiplication and division problems using scientific notation. Informal Assessment – monitoring student interactions as they complete the scientific notation practice Formal assessment – math assessment/scientific notation practice and exit ticket Common Core Connection ◦ Make sense of problem and persevere in solving them ◦ Model with mathematics
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Evaluate: Warm-Up Evaluate: Review Milk Lab Evaluate: Math assessment Engage/Explain: Scientific Notation Notes/ Activity Elaborate: Scientific Notation Practice Evaluate: Exit Ticket
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Complete the STEM Fair 2014-15 half sheet of paper What observations did you notice when you added the detergent to the whole, 2 percent and skim milk? Why did the detergent, milk and food coloring interact?
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Today I will be able to: ◦ Apply math skills to problem solving. ◦ Apply scientific notation to problem solving. ◦ Calculate multiplication and division problems using scientific notation.
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Scientific Notation Practice
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Warm-Up Review Milk Lab Math Assessment Scientific Notation Activity, Notes, Practice Exit Ticket
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Review and explain the milk lab
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You have 25 minutes to complete the assessment individually at your desk. You may not use a calculator
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What is scientific notation?
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In groups, brainstorm 3 examples of things that scientists/ engineers could study that would be large enough or small enough for scientific notation to be used to describe them
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Each group has an envelope containing numbers in scientific notation and standard notation. Put the numbers in order from smallest to largest on your desk.
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A way to write numbers that are too big or too small to conveniently write in decimal notation Standard scientific notation format ◦ 6.02 x 10 23 Notice there is only one number before the decimal
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Standard Notation – numbers that are in decimal form When given a number in standard notation move the decimal to the left or right until there is only one number before the decimal The number of spaces moved to the left or right becomes the exponent The sign on the exponent is ◦ Positive – moved the decimal to the left ◦ Negative – moved the decimal to the right
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Examples ◦ 489000000 (Standard Notation) Move the decimal to the left, exponent is positive ◦ 4.89 x 10 8 (Scientific Notation) ◦ 0.000123 (Standard Notation) Move the decimal to the right, exponent is negative ◦ 1.23 x 10 4
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Start with number in scientific notation Look at the sign on the exponent ◦ If positive, move the decimal to the right ◦ If negative, move the decimal to the left Use the exponent to tell you how many places to the move the decimal point
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Examples ◦ 3.47 x 10 5 (Scientific Notation) Exponent is positive, move to the right ◦ 347000 (Standard Notation) ◦ 7.82 x 10 -4 (Scientific Notation) Exponent is negative, move to the left ◦ 0.000782 (Standard Notation)
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Multiply or divide the numbers first ◦ (don’t include x 10 exp ) When multiplying, add the exponents together When dividing, subtract the exponents Make sure there is only one number before the decimal place in scientific notation. You may have to move the decimal so there is only one
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Examples (2.0 x 10 5 )(7.0 x10 4 )= ◦ 1.4 x 10 10 (15.0 x 10 7 ) / (3.0 x 10 9 )= ◦ 5.0 x 10 -2
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Complete the practice at your desk. Whatever you do not finish will become your homework.
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Activity ◦ Find your matching partner by finding the correct standard notation and scientific notation pair With your partner discuss the following questions: ◦ If you could have one special superhero power, what would it be? ◦ Would you rather have Cheetos fingers, or a popcorn kernel stuck in the back of your throat, for the rest of your life?
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