Math unit the number system
- 1. Unit: The Number System By: Ms. Moran
- 2. Essential Questions: Can you think about why you think it is important to learn about the number system? How is it important in our lives? (students will be given 2 minutes to think about their responses before being asked to share their response with their partner, and then to the whole class)
- 3. What is the number system? • Writing system for expressing and representing numbers of a given set. • Helps us understand the relationship between numbers. (have a student read aloud the definition)
- 4. Real Numbers • Written with a decimal point • It includes a set of real numbers such as natural, whole, integers, rational and irrational numbers • 2 kinds: rational and irrational numbers • Ex: -5 , 4/3, √2 (video clip)
- 5. Natural Numbers • All counting numbers • Ex. 1,2,3,4,5,…
- 6. Whole Numbers • All positive numbers that are counting numbers including zero. (natural numbers+0) • Ex: 0, 1, 2, 3, 4, 5… • Clarification Question: In comparison to the natural numbers, what number do I start with when dealing with whole numbers that sets them apart?
- 7. • Integers are rational numbers because they can be written as fraction with 1 as the denominator. • Positive, negative numbers on a number line, including zero “0” • No fractions Ex. 10, -6, 8, 4 (musical clips) Integers
- 8. In reference to the previous slide about integers, can you hypothesize why integers are over 1, and not 0 ?
- 9. Rational Numbers • real number that can be written as a ratio (fraction) of two integers. • written in decimal form is terminating (ends) or repeating (same pattern of numbers). • terminating: to end, “terminar” in Spanish Examples: •-10 •1.555… •4.25 •1/4
- 10. Now that we know what rational numbers are, what do you assume irrational (not rational) numbers are then? How did you reach that conclusion? Can you provide an example of what you think an irrational number is then?
- 11. Irrational Numbers • a number that CANNOT be written as a ratio (fraction) of two integers. • written as decimals are non-terminating (do NOT end) and non-repeating (no pattern) Examples: •Non-perfect square roots √19 •1.58962…
- 12. Graphic Organizer of Real Numbers (Summary)
- 13. Classify the following Numbers: EX. 1 ) 5 Answer: natural, whole, integer, rational, real EX. 2) -12 Answer: integer, rational, real EX. 3) Π (pi) Answer: irrational, real
- 14. The Number System (Guided Notes) What is the number system? _________________________________________ Real Numbers: _____________________________________________________________ Ex: _______________ Natural Numbers: __________________________________________________________ Ex: ________________ Whole Numbers: ___________________________________________________________ Ex: _______________ Integers: __________________________________________________________________ Ex: ______________ Video 1: Rap Song about Integers ____________________________________________________________ Video 2: Musical song about the number system ________________________________________________ Rational Numbers: __________________________________________________________ Ex.: _______________ Irrational Numbers: _________________________________________________________ Ex: _______________ Classify the following Numbers Activity: Ex.1) 5 _____________ Ex. 2) -12 ____________ Ex. 3) pi ________
- 15. Guided Notes (Fill in):