1. Day 3 Math Assessment, Scientific Notation

2. Common Core Connection
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. What is scientific notation?
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
(Standard Notation)
Move the decimal to the left, exponent is positive
4.89 x 108 (Scientific Notation)
(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
(Standard Notation)
7.82 x 10-4 (Scientific Notation)
Exponent is negative, move to the left
(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