1 / 29

Unit 1: Number Theory

Unit 1: Number Theory. Lesson 1-2: Rectangular Arrays. Rectangular Array: An arrangement of objects in rows and columns that form a rectangle. All rows have the same number of objects and all columns have the same number of objects. Co l umns. Rows. • •  • •  • •  • •  • •. • • 

dominique-lang
Télécharger la présentation

Unit 1: Number Theory

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Unit 1: Number Theory

  2. Lesson 1-2: Rectangular Arrays Rectangular Array:An arrangement of objects in rows and columns that form a rectangle. All rows have the same number of objects and all columns have the same number of objects. Co l umns Rows • •  • •  • •  • •  • • • •  • •  • • • • • 1 * 5 = 5 2 * 2 = 4 5 * 2 = 10 Number Model: Rows * Columns = Product

  3. Practice: Draw all possible arrays for the numbers below. Write the number model to match the array. 8 12 •  •  •  •  •  •  •  • • • • • • •  • • • • • •  2 * 6 = 12 • • • • • • • • 2 * 4 = 8 • • • • • • • • 4 * 2 = 8 •••••••••••• 1 * 12 = 12 • • • • • • • • • • • • 6 * 2 = 12 • • • •  • • • •  • • • •  3 * 4 =12 • • • • • • • • • • • • • • • • • • • • 1 * 8 = 8 • • • • • • • • • • • • 4 * 3 = 12 8 * 1 = 8 12 * 1 = 12

  4. Classwork: 1. Complete journal page 5 If time: 2. Complete journal p. 6-7 3. Math Box 1-2 (p. 8) 4. Extra Credit

  5. Journal Page 5 answers Correct your work using a pen!

  6. Lesson 1-3: Factors 1, 15 3, 5 1, 3, 5, 15 1, 12 2, 6 3, 4 • Factor * Factor = Product • 2 * 5 = 10 1, 2, 3, 4, 6, 12 1, 9 3, 3 1, 3, 9 *Remember to use an organized approach to find all the factors of a number. Start with the number 1, find its factor pair, then continue in numerical order 2, 3, etc. until you hit a repeat!

  7. Classwork: 1. Complete journal page 10 If time: 2. Math Box 1-3 (p. 11) 3. Extra Credit

  8. Journal Page 10 answers Correct your work using a pen!

  9. Lesson 1-5: Divisibility Rules A whole number is divisible by a whole number if the remainder if zero. 4 ways to write a division problem 185 5 = 37 185 ÷ 5 = 37 37 5 185 185/5 = 37 Quotient Dividend Divisor

  10. Memorize Memorize Divisibility Rules All whole numbers 38, 104, 7,536 27, 603, 8,541 64, 132, 2, 016 95, 675, 3,500 72, 306, 1,548 36, 801, 6,732 70, 290 , 8,940

  11. Classwork:1. Complete journal page 14If time:2. Math Box 1-5 (p. 15)3. Extra Credit

  12. Journal Page 14 answers Correct your work using a pen!

  13. Lesson 1-5: Divisibility Continued Reminder: A whole number(the dividend) is divisible by a whole number (the divisor) if the remainder in the division is zero. The result(the quotient)must be a whole number. If the remainder is not zero, then the number being divided is not divisible by the second number. Using a calculator to test for divisibility 135 int ÷ 5 = 27 135 int ÷ 4 = 33.75 135 ÷ 4 = 33 R3 135 ÷ 5 = 27 R0

  14. Classwork:1. Complete journal page 13If time:2. Math Box 1-5 (p. 15)3. Extra Credit

  15. Journal Page 13 answers Correct your work using a pen!

  16. Lesson 1-4: Factor Captor Add game directions and game boards

  17. Lesson 1-6: Prime & Composite Numbers Prime Number: Has exactly 2 factors, one and itself Composite Number: Has exactly 3 or more factors Memorize The number 1 is not prime or composite

  18. Classwork:1. Complete journal page 16If time:2. Journal page 18 3. Math Box 1-6 (p. 19)4. Extra Credit

  19. Journal Page 16 answers Correct your work using a pen!

  20. Lesson 1-7: Square Numbers Square Numbers are the product of a number times itself. 2 2 2 2 2 2 2 2 2 2 2 2 Read these as either: “four to the power of two” or “ four squared”

  21. Exponential Notation The exponent (2) tells how many times the base (3) is used as a factor. 2 Exponent 3 ^ Powers Key Base Practice: 2 2 8 = 8 = 11 = 3 3 2 = 4 =

  22. Classwork: • Complete journal page 20-21 • If time: • 2. Math Box 1-7 (p. 22) • 3. Extra Credit

  23. Journal Page 20 - 21 answers Correct your work using a pen!

  24. Lesson 1-8: Unsquaring Numbers When you unsquare a number, you have found the square root of the number. 4 = 2 2 is the square root of 4 2 * 2 81 = is the square root of 81 9 9

  25. _is the square root of 16 Practice: 4 8 is the square root of _ 64 _is the square root of 36 6 7 is the square root of _ 49

  26. Classwork: • Complete journal page 23 • If time: • 2. Math Box 1-8 (p. 24) • 3. Extra Credit

  27. Journal Page 23 answers Correct your work using a pen!

  28. Unit 1: Review Stations Station 1: Square Numbers Station 2: Arrays and Number Models Station 3: Divisibility Station 4: Prime and Composite Numbers Station 5: Factors

More Related