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Pre-Algebra Chapter 1: Algebra and Whole Numbers

Pre-Algebra Chapter 1: Algebra and Whole Numbers. Chapter Project – 50 points. Finding Numbers During this chapter you will be assigned to a group of 3. Your goal is to list as many quantities as possible (minimum of 10). For example: There are 12 student desks in this classroom.

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Pre-Algebra Chapter 1: Algebra and Whole Numbers

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  1. Pre-AlgebraChapter 1: Algebra and Whole Numbers

  2. Chapter Project – 50 points • Finding Numbers • During this chapter you will be assigned to a group of 3. Your goal is to list as many quantities as possible (minimum of 10). • For example: • There are 12 student desks in this classroom. • There are 2 sets of windows. • There are 2 pencil sharpeners. • There are 3 filing cabinets. • I have 12 cans of corn at home. • I have 223 DVD’s. • Your teams job is to find large quantities of items in the school and at your own house.

  3. You will need to establish some way of keeping track of your information to share. • Ideas include: • Using the computer and typing out a list. • Keeping a journal. • Creating a poster • You must present your findings to the class. • You will only be given 3 class days to work as a team. • Day 1: Meet your teammates. Get a list going of items to quantify • Day 2: Follow up with classmates, begin thinking about how you will present your findings. • Day 3: Create your project to present.

  4. Grading: 30 points will be given by my evaluation, using the rubric below 15 points will be earned by your teammates evaluations 5 points earned by your classmates during your presentation

  5. Schedule of Events

  6. Goals for Learning: • To review addition and subtraction using whole numbers • To learn to estimate sums and differences • To review multiplication and division using whole numbers • To learn to estimate products and quotients • To recognize true, false, and open statements • To recognize algebraic and numerical expressions • To evaluate algebraic expressions

  7. Lesson 1: Adding Whole Numbers • Vocabulary – • Whole Number – numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. • Algebra – the branch of math that uses both letters and numbers to show relations between quantities • Arithmetic – the study of the properties of numbers using four basic operations • Operation – add, subtract, multiply, divide

  8. Addition – combining two or more numbers to find a total • Addend – numbers to be added to another • Sum – the answer to an addition problem

  9. Place Value

  10. More on Place Value and Numbers 5 tens, 9 ones Fifty-nine

  11. Addition Key Words • Altogether • Total • In all • Deposit • Perimeter • Sum • Increased by • More than • Combined, together • Added to

  12. Addition Examples: 267 1,342 + 68 297a + 28a 3,234y+ 22y + 315y = 31 + 232 + 5 =

  13. HOMEWORK: Pg 4-5 #1-35 ALL NO CALCULATOR EX CR: Write each vocabulary word in a sentence

  14. Lesson 2 – Subtracting Whole Numbers • Vocabulary – • Subtraction – operation of taking one number away from another • Difference – the answer to a subtraction problem • Inverse – opposite • Rename – to give a new form that is equal to the original

  15. WARM UP ACTIVITY

  16. Subtraction Key Words • Are left • How many remain • How much can you save • Fewer • Less • decreased by • Minus • difference between/of • less than, fewer than

  17. Review of Borrowing/Canceling/Renaming 97 - 28 21 - 13 5x - 2x 4,321 - 586

  18. Review of Borrowing/Canceling/Renaming with ZEROS 90 - 22 900 - 654 9000 - 1234 104 - 72 32,001 - 9,234

  19. HOMEWORK: • Pg 7-9 #1-30 ALL NO CALCULATOR! • EX CR: Write each vocabulary word in a sentence

  20. Lesson 3: Estimating Sums and Differences • Vocabulary – • Estimate – also known as rounding – a close guess: a nearly correct answer • Rules– • 0-4 stays the same • 5 -9 round up to the next number! When rounding a number to its greatest place value, look at the numeral next to the greatest place value. 591 – 531 – 45 – 1,234 -

  21. Round then Add or Subtract 90 - 22 45 + 26 234 + 556 123,222 + 345 + 17,899 + 23 = 12,232 – 5,677 =

  22. HOMEWORK: • Pg 11 #1-20 ALL NO CALCULATOR! • Tomorrow you will take a QUIZ and work in your groups! • EX CR: Write the vocabulary word in a sentence

  23. Lesson 4 – Multiplying Whole Numbers • Vocabulary – • Multiplication – the arithmetic operation that adds a number a given number of times • Factor – the numbers in a multiplication problem • Product - the answer to a multiplication problem • Symbols used to show multiplication: ______________________ 3 x 3 9

  24. Key Words to Multiplication • Of • Times • multiplied by • product of

  25. Warm-Up Multiplication Problems Complete as many as you can in 3 minutes!

  26. 3 Minutes 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 02 Classroom Timer Back to Clock Home

  27. 2 Minutes 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 01 Classroom Timer Back to Clock Home

  28. 1 Minute 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 00 Classroom Timer Back to Clock Home

  29. 50 Seconds 49 48 47 46 45 44 43 42 41 26 40 38 37 36 35 34 33 32 31 30 29 28 39 50 25 27 12 22 21 20 19 18 17 16 15 14 13 00 11 10 09 08 07 06 05 04 03 02 01 24 23 00 Classroom Timer Back to Clock Home

  30. 45 Seconds 44 43 42 41 40 39 38 24 36 45 37 33 32 31 30 29 28 27 26 35 34 25 23 11 20 19 18 17 16 15 14 13 12 00 10 09 08 07 06 05 04 03 02 01 22 21 00 Classroom Timer Back to Clock Home

  31. 30 Seconds 24 18 20 21 22 23 25 16 26 27 28 29 30 15 17 14 01 02 03 04 05 00 07 06 09 10 11 12 13 08 00 19 Classroom Timer Back to Clock Home

  32. 20 Seconds 11 20 19 18 17 16 15 14 13 10 12 09 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  33. 15 Seconds 09 15 14 13 12 11 10 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  34. 10 Seconds 10 09 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  35. Pencils DOWN!

  36. HOMEWORK: • Pg 13 #1-25 ALL • NO CALCULATOR! • Yes, multiplication chart. • EX CR: Write the vocabulary word in a sentence

  37. Lesson 5 – Dividing Whole Numbers • Vocabulary – • Division – the arithmetic operation of finding how many times a number goes into another number • Divisor – the number that is used to divide • Dividend - the number that is divided • Quotient – the answer to a division problem • Remainder – answer left after dividing

  38. Key Words to Dividing Whole Numbers • per, a • out of • ratio of • quotient of • percent (divide by 100)

  39. Warm-Up Division Problems Complete as many as you can in 3 minutes!

  40. 3 Minutes 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 02 Classroom Timer Back to Clock Home

  41. 2 Minutes 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 01 Classroom Timer Back to Clock Home

  42. 1 Minute 58 57 56 55 54 53 52 51 50 49 48 31 47 45 33 34 35 36 46 38 37 40 41 42 43 44 39 59 32 30 29 27 26 25 24 23 22 21 20 19 18 17 16 00 28 15 12 11 10 09 08 07 06 05 04 03 02 01 14 13 00 Classroom Timer Back to Clock Home

  43. 50 Seconds 49 48 47 46 45 44 43 42 41 26 40 38 37 36 35 34 33 32 31 30 29 28 39 50 25 27 12 22 21 20 19 18 17 16 15 14 13 00 11 10 09 08 07 06 05 04 03 02 01 24 23 00 Classroom Timer Back to Clock Home

  44. 45 Seconds 44 43 42 41 40 39 38 24 36 45 37 33 32 31 30 29 28 27 26 35 34 25 23 11 20 19 18 17 16 15 14 13 12 00 10 09 08 07 06 05 04 03 02 01 22 21 00 Classroom Timer Back to Clock Home

  45. 30 Seconds 24 18 20 21 22 23 25 16 26 27 28 29 30 15 17 14 01 02 03 04 05 00 07 06 09 10 11 12 13 08 00 19 Classroom Timer Back to Clock Home

  46. 20 Seconds 11 20 19 18 17 16 15 14 13 10 12 09 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  47. 15 Seconds 09 15 14 13 12 11 10 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  48. 10 Seconds 10 09 08 07 06 05 04 03 02 01 00 00 Classroom Timer Back to Clock Home

  49. Pencils DOWN!

  50. HOMEWORK: • Pg 15 #2-26 EVENS ONLY • NO CALCULATOR! • Yes, multiplication chart. • EX CR: Write the vocabulary word in a sentence

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