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Day 3 Math Assessment, Scientific Notation

This assessment focuses on applying math skills and scientific notation to solve multiplication and division problems. Includes practice and exit ticket.

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Day 3 Math Assessment, Scientific Notation

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  1. Day 3 Math Assessment, Scientific Notation

  2. 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

  3. Lesson Sequence • Evaluate: Warm-Up • Evaluate: Math assessment • Engage/Explain: Scientific Notation Notes/ Activity • Elaborate: Scientific Notation Practice • Evaluate: Exit Ticket

  4. Warm- Up • How many numbers can be in front of the decimal point for scientific notation? • If you have a large number will the exponent be positive or negative? • What is the rule to follow when dividing exponents?

  5. Objective • 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.

  6. Homework • Scientific Notation Practice • Wear closed toe shoes Friday!!!

  7. Agenda • Warm-Up • Math Assessment • Scientific Notation Activity, Notes, Practice • Exit Ticket

  8. Math Assessment You have 25 minutes to complete the assessment individually at your desk

  9. Scientific Notation Notes

  10. Let’s Think… What is scientific notation?

  11. Discussion So what?

  12. Collaborate • 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

  13. Activity • Each group has an envelope containing numbers in scientific notation and standard notation. • Objective: Put the numbers in order from smallest to largest on your desk.

  14. Scientific Notation • 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 1023 • Notice there is only one number before the decimal

  15. Standard Notation to Scientific Notation • 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 • If sign on the exponent is • Positive – moved the decimal to the left • Negative – moved the decimal to the right

  16. Standard Notation to Scientific Notation cont. • Examples • 489000000 (Standard Notation) • Move the decimal to the left, exponent is positive • 4.89 x 108 (Scientific Notation) • 0.000123 (Standard Notation) • Move the decimal to the right, exponent is negative • 1.23 x 104

  17. Scientific Notation to Standard Notation • 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

  18. Scientific Notation to Standard Notation cont. • Examples • 3.47 x 105 (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)

  19. Multiplying/Dividing in Scientific Notation • Multiply or divide the numbers first • (don’t include x 10exp) • 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

  20. Multiplying/Dividing Scientific Notation cont. Examples 1. (2.0 x 105)(7.0 x104)= Ans: 1.40 x 1010 2. (15.0 x 107) / (3.0 x 109)= Ans: 5.0 x 10-2

  21. Scientific Notation Practice Complete the practice at your desk. Whatever you do not finish will become your homework.

  22. Exit Ticket • Activity • Find your matching partner by finding the correct standard notation and scientific notation pair

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