CHAPTER 3 Pre-Algebra Solving One-Step Equations and Inequalities Second Quarter - Schedule Chapter 3 Chapter 4 Solving One-Step Equations Exploring Factors and Fractions 3.2 – 3.3 Quiz 3A 3.4 – 3.5 Quiz 3B 3.6 – 3.8 Quiz 3C Test – November 16th 4.1 – 4.3 Quiz 4A 4.4 – 4.7 Quiz 4B 4.8 – 4.9 No Quiz Test – December 14th Chapter 3 - Schedule Solving One-Step Equations M - Fall Mid Term Review T - 3.2: Solving Equations by Adding or Subtracting B - 3.3 : Solving Equations by Multiplying or Dividing F - Quiz 3A TEST – NOVEMBER 16TH Chapter 3 - Schedule Solving One-Step Equations M – 3.4 : Using Formulas T – 3.5 : Area and Perimeter B – Halloween and All Saints Day Activites F - Quiz 3B TEST – NOVEMBER 16TH Chapter 3 - Schedule Solving One-Step Equations M – 3.6 : Solving Inequalities by Adding or Subtractions T - 3.7 : Solving Inequalities by Multiplying or Dividing B - 3.8 : Applying Equations and Inequalities F - Quiz 3C TEST – NOVEMBER 16TH 3.2 - Solving Equations by Adding or Subtracting Objective: To solve equations by using the addition and subtraction properties of equality Answers: Warm-Up: Solve 1. 2. 3. 4. 5. each equation: x = 4 - (-5) n = (4)(-5) -8 ÷ -2 = m Simplify each expression: 8t - 3t + 2t -9k - (-9k) 1. 9 2. -20 3. 4 4. 7t 5. 0 3.3 – Solving Equations by Multiplying or Dividing There is a constant battle being fought in my heart, and in yours. The battle is between love and power, between the love of power and the power of love. The more the power to love grows within us the more our love of power decreases. 3.2 - Solving Equations by Adding or Subtracting NOTES: 3.2 - Solving Equations by Adding or Subtracting NOTES: 3.2 - Solving Equations by Adding or Subtracting NOTES: 3.2 - Solving Equations by Adding or Subtracting NOTES: 3.2 - Solving Equations by Adding or Subtracting NOTES: X-3=-8 3.2 - Solving Equations by Adding or Subtracting PRACTICE HOMEWORK P127 (9 - 39 x3 - Do Not Graph) MATH LAB! Section A: WS - Positive and Negative Numbers Packet Section B: 3.3 - Solving Equations by Multiplying or Dividing Section C: TicTacMath 3.3 - Solving Equations by Multiplying or Dividing Objective: To solve equations by using the multiplication and division properties of equality Answers: Warm-Up: Solve 1. 2. 3. 4. 5. each equation: x-3=5 y+9=7 13 = m - 6 n - ( - 1) = 1 f+4=-5 1) 2) 3) 4) 5) 8 -2 19 0 -9 3.3 – Solving Equations by Multiplying or Dividing NOTES: 3.3 – Solving Equations by Multiplying or Dividing PRACTICE HOMEWORK P132 (12 - 34 EVEN) 3.2 – 3.3 Quiz 3A Solving One-Step Equations 3.4 – Using Formulas Objective: To solve problems using formulas Warm-Up: Answers: 1. 2. 3. 4. 5. x/3 = -6 -3x = -6 x/-2 = -16 -2x = 16 12x = -156 1) 2) 3) 4) 5) x = -18 x=2 x = 32 x = -8 x = -13 3.4 – Using Formulas Notes: If you drive 50 miles per hour, how far would you drive in 2 hours? Answer: 100 miles If you drive 225 miles in 5 hours, how fast were you going? Answer: 45 mph Use the distance formula d = rt d - distance r - rate (or speed) t - time More Formulas: Area of a triangle A=1/2 bh Area of a rectangle A=lw Perimeter of a rectangle P=2(l+w) 3.4 – Using Formulas PRACTICE HOMEWORK P136 (9-30 x3) 3.5 – Area and Perimeter Objective: To find the area and perimeter of rectangles and squares Warm-Up: Solve by replacing the variables with the given values: 1. D = rt, if r = 50 and t = 3 2. A = lw, if l = 23 and w = 11 Answers: 3. A = lw, if A = 500 and w = 10 1) 150 (𝑓−𝑠) 2) 253 4. a= , if f = 18, s = 2 and t = 8 𝑡 3) 50 4) 2 3.5 – Area and Perimeter Notes: A = Area l = length w = width Area of a rectangle A=lw Perimeter of a rectangle P=2(l+w) or P=2l+2w BONUS: Area of a triangle A=1/2 bh b = base h = height Let’s try some…Find the perimeter of each rectangle A 4 foot by 8 foot rectangle A 6 centimeter square 3.5 Area and Perimeter PRACTICE HOMEWORK p142-143 (6-27 x3) 3.5 – Area and Perimeter Objective: To find the area and perimeter of rectangles and squares Warm-Up: Solve by replacing the variables with the given values: 1. D = rt, if r = 50 and t = 3 2. A = lw, if l = 23 and w = 11 Answers: 3. A = lw, if A = 500 and w = 10 1) 150 (𝑓−𝑠) 2) 253 4. a= , if f = 18, s = 2 and t = 8 𝑡 3) 50 4) 2 3.5 – Area and Perimeter Notes: A = Area l = length w = width Area of a rectangle A=lw Perimeter of a rectangle P=2(l+w) or P=2l+2w BONUS: Area of a triangle A=1/2 bh b = base h = height Let’s try some…Find the perimeter of each rectangle A 4 foot by 8 foot rectangle A 6 centimeter square 3.4 – 3.5 Quiz 3B Area and Perimeter Formulas Second Quarter - Schedule Chapter 3 Chapter 4 Solving One-Step Equations Exploring Factors and Fractions 3.2 – 3.3 Quiz 3A 3.4 – 3.5 Quiz 3B 3.6 –3.7 Quiz 3C Test – November 16th 4.1 – 4.3 Quiz 4A 4.4 – 4.7 Quiz 4B 4.8 – 4.9 No Quiz Test – December 14th 3.6 Solving Inequalities by Adding and Subtracting Objective: To solve inequalities by using addition and subtraction properties of inequalities and graph the solution sets. Warm-Up: Answers: Solve for variable: 1. x/-3 = -15 2. 4 = -16x 3. 12 - x = -15 4. - 6 = 12 + x 5. x - 4 = 30 1) 2) 3) 4) 5) x = 45 x = -1/4 x = 27 x = - 18 x = 34 3.6 Solving Inequalities by Adding and Subtracting Notes: So, how do we graph ? 3.6 Solving Inequalities by Adding and Subtracting Notes: 3.6 Solving Inequalities by Adding and Subtracting Notes: 3.6 Solving Inequalities by Adding and Subtracting Notes: 3.6 Solving Inequalities by Adding and Subtracting Notes: Let’s try some… m+4<9 - 13 > x - 8 3.6 Solving Inequalities by Adding and Subtracting PRACTICE HOMEWORK P148 -149 (6 - 42 x3) 3.7 Solving Inequalities by Multiplying and Dividing Objective: To solve inequalities by using multiplication and division properties of inequalities and graph the solution sets. Warm-Up: Solve for variable, then try and graph answer: 1. x/-5 < -10 Answers: 2. 4 > -12x 1) x < 50 2) x < -1/3 3. 15 - x > -15 3) x < 30 4. - 6 > 10 + x 4) x > -16 5. x - 4 < 32 5) x < 36 3.7 Solving Inequalities by Multiplying and Dividing Notes: 3.7 Solving Inequalities by Multiplying and Dividing Notes: Let’s try some… 4m < - 28 m/-3 > 4 3.7 Solving Inequalities by Multiplying and Dividing PRACTICE HOMEWORK p. 154 (5-31 ODD) 3.6 & 3.7 Quiz 3C Solving Inequalities by Adding, Subtracting, Multiplying or Dividing Block - Chapter 3 Test Review Solving Equations Addition Subtraction Multiplication Division Which RELATION SYMBOLS? Opposite (or “inverse”) Operations Solving Inequalities Addition Subtraction Multiplication Division Which RELATION SYMBOLS? Opposite (or “inverse”) Operations Formulas Distance Area Perimeter PRACTICE CLASSWORK BLOCK: Chapter 3 Test Review WARM-UP: p.161 (1-7) …and now, lets do some review problems together! TOGETHER ACTIVITY - PAGE 162: A. +/- Equations (#’s 8-15) B. x/÷ Equations (#’s 16-23) C. Distance Formula (#’s 24-27) TOGETHER ACTVITY - PAGE 163: A. Area and Perimeter (#’s 28-32) B. +/- Inequalities (#’s 33-38) C. x/÷ Inequalities (#’s 39-46)