Before: September 21, 2015. During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction,

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Presentation transcript:

Before: September 21, 2015

During: Solving One- Step Inequalities Learning Target: I can solve one-step inequalities by using addition, subtraction, multiplication, and division.

O An inequality is a statement that two quantities are not equal. The quantities are compared by using one of the following signs: O A solution of an inequality is any value of the variable that makes the inequality true. Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

O Solving one-step inequalities is much like solving one-step equations. To solve an inequality, you need to isolate the variable using the properties of inequality and inverse operations. Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division. Properties of Inequality Addition and Subtraction WordsNumbersAlgebra Addition You can add the same number to both sides of an inequality, and the statement will still be true. 3 < < < 10 a < b a + c < b + c Subtraction You can subtract the same number from both sides of an inequality, and the statement will still be true. 9 < 12 9 – 5 < 12 – 5 4 < 7 a < b a – c < b – c

Using Addition and Subtraction to Solve Inequalities “I Do” O Solve each inequality and graph the solutions. A. x + 9 < 15 B. d – 3 > -6 C. 0.7 ≥ n – 0.4 Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Using Addition and Subtraction to Solve Inequalities “We Do” Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Using Addition and Subtraction to Solve Inequalities “You Do” O Solve each inequality and graph the solutions. A. x + 12 < 20 B. d – 5 > -7 C. 0.9 ≥ n – 0.3 Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

O Remember, solving inequalities is similar to solving equations. To solve an inequality that contains multiplication or division, undo the operation by dividing or multiplying both sides of the inequality by the same number. Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Positive Number “I Do” O Solve each inequality and graph the solutions. A. 3x > -27 Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Positive Number “We Do” O Solve each inequality and graph the solutions. A. 4k > 24 B. 5q ≤ -50 Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Positive Number “You Do” Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Negative Number “I Do” Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Negative Number “We Do” O Solve each inequality and graph the solutions. A. -x ≤ 10 B h < 4.25 Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

Multiplying or Dividing by a Negative Number “You Do” Learning Target: I can solve one-step inequalities by using addition, subtracting, multiplication, and division.

After: Challenge Based Learning (Problem Solving Application) O As a group (3), complete the problem given to you. Be prepared to present your problem to the class, along with your findings