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1 15 x 15 Multiplication Tables (Blank) X
2 15 x 15 Multiplication Tables (Completed) X
3 20 x 20 Multiplication Tables (Blank) X
4 20 x 20 Multiplication Tables (Completed) X
5 UNIT 1 NUMBERS AND OPERATIONS
6 Math 11 Unit 1 Outline p. 1 of 1 A. Algebraic Skills Unit 1 Numbers and Operations Outline 1. Sets of Numbers and Their Graphs Exercise 1 2. Adding and Subtracting Integers Exercise 2 3. Multiplying and Dividing Integers Exercise 3 4. Order of Operations with Integers Exercise 4 Unit 1 Review Unit 1 Exam
7 Math 11 Unit 1 Objectives p. 1 of 1 A. Algebraic Skills Unit 1 Numbers and Operations Objectives To identify the sets of numbers. To represent numbers on a number line. To add and subtract integers. To multiply and divide integers. To apply the order of operations to simplify expressions.
8 Math 11 Unit 1 Introduction p. 1 of 1 A. Algebraic Skills Unit 1 Numbers and Operations Introduction Problem: The highest elevation in North America is Mt. McKinley, which is 20,320 feet above sea level. The lowest elevation is Death Valley, which is 282 feet below sea level. What is the distance from the top of Mt. McKinley to the bottom of Death Valley? Solution: The distance from the top of Mt. McKinley to sea level is 20,320 feet and the distance from sea level to the bottom of Death Valley is 282 feet. The total distance is the sum of 20,320 and 282, which is 20,602 feet. The problem above uses the notion of opposites: Above sea level is the opposite of below sea level. Here are some more examples of opposites: top, bottom forward, backward increase, decrease positive, negative You could solve the problem above using integers. Integers are the set of whole numbers and their opposites. A number line can be used to represent the set of integers.
9 Math 11 Unit 1 Lesson 1 p. 1 of 3 Math 11 Unit 1 Lesson 1 SWBAT identify the sets of numbers. SWBAT represent numbers on a number line. 1. Sets of Numbers and Their Graphs Types of Number Systems: Irrational Numbers: do not terminate nor repeat e.g. 11 = Real Numbers Natural Numbers: {1, 2, 3, } Whole Numbers: {0, 1, 2, } Rational Numbers: written as b a (fraction) Integers: {, -2, -1, 0, 1, 2, } Radicals/Fractions/Decimals: 1 1 Terminate: = 0.5 = Repeat: =
10 Math 11 Unit 1 Lesson 1 p. 2 of 3 Decide how the following numbers can be classified. Write the symbol N (Natural), W (Whole), I (Integers), or Q (Radicals/Fractions/Decimals) for the set that you choose. Ex. 1. 5, 0, and 4 are integers (I). Ex. 2. 1, 4, 2 and 0.9 are radicals/fractions/decimals (Q). Ex. 3. 5, 700, and 892 are natural numbers (N). Number Line: A number line is used to represent the real numbers Less than: < Greater than: > Less than and equal to: Greater than and equal to: Ex. 4. Graph: A: -1 B: 3 4 C: 3.4 A B C Ex. 5. Graph: A: -2 B: C: 3 A B C
11 Math 11 Unit 1 Lesson 1 p. 3 of 3 Ex. 6. Graph: D: x 4 D Ex. 7. Graph E: y > 5 E Exercise 1
12 Math 11 Unit 1 Exercise 1 p. 1 of 3 Math 11 Unit 1 Exercise 1 Decide how the following numbers can be classified. Write the symbol N (Natural), W (Whole), I (Integers), or Q (Radicals/Fractions/Decimals) for the set that you choose. 1. 1, 2, and , 0, and , 3, , 4.2, , 8, , 10, , -2, , 3, , 0.3, ,,5 4 Decide which set of numbers is most appropriate for the situation described. Write the symbol N (Natural), W (Whole), I (Integers), or Q (Radicals/Fractions/Decimals) for the set that you choose. 11. The number of bananas in a fruit basket. 12. The number of games won by the Roughriders one quarter of the way into the football season. 13. The profit or loss to the nearest dollar at the year end of A&B sound. 14. The average of any two integers. 15. The batting average of a major league baseball player.
13 Math 11 Unit 1 Exercise 1 p. 2 of 3 For each example draw a number line and then graph A, B, C, D and E. 16. A: 7 B: 4 C: 2 D: 0 E: A: 4 B: 8 C: 12 D: 1 E: A: -3 B: 1 C: -1 D: 5 E: A: 2 B: -4 C: -2 D: -6 E: A: -1.7 B: 0 C: -4.6 D: 3.1 E: A: ½ B: 3 ¾ C: -2 ¼ D: -½ E: A: -5.3 B: 0.6 C: -¾ D: -1 E: 3.7
14 Math 11 Unit 1 Exercise 1 p. 3 of A: 1 2 B: 1 4 C: D: 1 3 E: A: 3.4 B: 0.8 C: 5.7 D: E: A: y > 5 B: x < A: t -1 B: u A: d > -3 B: e A: s > 3 B: t < A: f > 1 B: g A: h -4 B: i 0
15 Math 11 Unit 1 Lesson 2 p. 1 of 2 Math 11 Unit 1 Lesson 2 SWBAT add and subtract integers. 2. Adding and Subtracting Integers Use a number line to add and subtract integers. Addition: For positive numbers, move to the right on the number line. For negative numbers, move to the left on the number line. Always begin at 0. Ex. 1. Add ( 4) + (+2) = start on this number Ex. 2. Add (-1) + (-5) = -6 Ex. 3. Add (+6) + (-8) = -2 Subtraction: To subtract, add the opposite of the integer. Ex. 4. Subtract 9 (-6) = 9 + (+6) = 15 Ex. 5. Subtract = -3 + (-14) = -17
16 Math 11 Unit 1 Lesson 2 p. 2 of 2 Ex. 6. Simplify (-6) 7 = (+6) + (-7) = -1 + (+6) + (-7) = 5 + (-7) = -2 Ex. 7. Simplify 10 3 (-5) + 2 = 10 + (-3) + (+5) + 2 = 7 + (+5) + 2 = = 14 Exercise 2
17 Math 11 Unit 1 Exercise 2 p. 1 of 2 Simplify. Math 11 Unit 1 Exercise 2 1. (+4) + (+11) (-9) 2. (+2) + (+23) (-15) 3. (8) + (+19) (-13) 4. (-6) + (-4) (-14) 5. (-3) + (-7) 12. (-12) (-8) + (-4) 13. (-14) (-7)
18 Math 11 Unit 1 Exercise 2 p. 2 of (-11) (-5) + (-3) (-12) + (-6) 18. (-44) (-35) (-12) 19. (-55) (-41) (-7) 20. (-2) + (-4) + (-3) (-6) (-9) + (-2) + (-6) (-8) (-7) 30. (-8) (-13) - 26
19 Math 11 Unit 1 Lesson 3 p. 1 of 1 Math 11 Unit 1 Lesson 3 SWBAT multiply and divide integers. 3. Multiplying and Dividing Integers When multiplying and dividing, the signs will change: Ex. 1. (+3) (+2) + + = = = = - = +6 Ex. 2. (-14) (-7) = +2 Ex. 3. (-2) (+12) = -24 Ex = -7 Ex. 5. (-5)(-6)(-3) = (30)(-3) = -90 Ex. 6. (2)(8)(-6) = (-2)(-48) = 96 Exercise 3
20 Math 11 Unit 1 Exercise 3 p. 1 of 2 Simplify. Math 11 Unit 1 Exercise (-7)5 2. (-2)(-5) (-4)(-5) (-6)(-5) (-5)(-8) (-8)
21 Math 11 Unit 1 Exercise 3 p. 2 of (-9)(1)(6) (-6)(3)(4) (4)(-3)(-6) (-7)(-3)(-3) (-2)(-7)(-4) 18. (-5)(4)(-1) 25. (-2)(-4)(6) 19. (-3)(2)(-7)
22 Math 11 Unit 1 Lesson 4 p. 1 of 2 Math 11 Unit 1 Lesson 4 SWBAT apply the order of operations to simplify expressions. 4. Order of Operations with Integers B rackets E xponents D ivision M ultiplication A ddition S ubtraction in order from left to right in order from left to right When an expression contains brackets within brackets then the inner brackets are evaluated first. Ex. 1. Evaluate = = 19 4 = 15 Ex. 2. Evaluate 5[24 4(12-9) 6] = 5[24 4(3) 6] = 5[ ] = 5[24-2] = 5[22] = 110
23 Math 11 Unit 1 Lesson 4 p. 2 of 2 Ex. 3. Evaluate = (14 + 3) = 34 Exercise 4
24 Math 11 Unit 1 Exercise 4 p. 1 of 2 Perform the indicated operation(s). Math 11 Unit 1 Exercise (7 3) (8 5) (5 3) (-2) (-8)
25 Math 11 Unit 1 Exercise 4 p. 2 of (-2) (7 + 3) (-2) (5 + 2) [4 (8 2 3) + 7] ( ) (4 3) (3 + 4) + [6(8 3) (1 + 9) 1] 25. 5(10 2)
26 Math 11 Unit 1 Review p. 1 of 7 Name: Date: Math 11 Unit 1 Review A. Multiple Choice. Circle the correct answer. 1. Which of the following numbers is a whole number? 2 a. 2 3 b. 7 c. -5 d Which of the following is a natural number? a. 45 b c. 5 2 d Which of the following is an integer? a b. -3 c. 11. d. 29
27 Math 11 Unit 1 Review p. 2 of 7 Use the following line graph to answer questions 4 7. E A C B D Which point has the value of 1? a. A b. B c. C d. D 5. Which point has the value of -1? a. A b. B c. C d. D 6. Which point has the value of -3? a. A b. B c. C d. D 7. Which point has the value of 5? a. A b. B c. C d. D
28 Math 11 Unit 1 Review p. 3 of 7 8. Simplify: a. -43 b. -11 c. 1 d Find: a. -37 b. -13 c. 13 d Find: (-9)7 a. -63 b. -56 c. 63 d Find: a. -12 b. -6 c. -4 d Simplify: 4 (-2) (-3) a b. 3 2 c. 3 d. 2
29 Math 11 Unit 1 Review p. 4 of Find: 10 3(5 2) a. -7 b. -1 c. 1 d Find: a. -14 b. -5 c. 4 d Find: -7(3 + 2) a. -32 b. -30 c. 8 d Simplify: a b. -1 c. 4 d Simplify: 3(8 4) + 12 a. 0 b. 24 c. 48 d. 51
30 Math 11 Unit 1 Review p. 5 of Find: a. -24 b. -17 c. -8 d Find: (26 + 4) (30 2) a. 15 b. -1 c. 1 d Simplify: 3(8-6) a. -13 b. 26 c. 1 d. 13 B. Short Answer. 21. Draw a number line and then graph the following points: A = 4 B = -2 C = 0
31 Math 11 Unit 1 Review p. 6 of Draw a number line and then graph the following points: A = B = -5 C = Draw a number line and then graph the following points: A > 2 B -5 Simplify: (-16) + (-18) (-8) (-11) + (-16) (16 + 3) ( ) + ( )
32 Math 11 Unit 1 Review p. 7 of [(-14) + (-87)] (-19) + (-4) (-7) 32. (7 + 3)(-2) (2 6) 34. [4 (8 2 3) + 7] ( ) 35. 4(5 7) (6 + 2) 4
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