Lesson 1:
• Objective: Students will be able to define, discuss, and calculate rational and irrational numbers. (Defining the Real Number System, converting decimals to fractions and vice versa including repeating decimals, using the scientific calculator, approximating square roots to the nearest tenth, concept of principal root).
• Worksheet 1,2,3:
• Odds in class as guided practice.
• Pairwork for student activity.
• Homework :
• Activity 1: “Appetizer #1: Delightful Rational & Irrational Numbers”
• Additional problems from the text book.
Lesson 2:
Objective: Students will be able to continue to define, discuss, and calculate rational and irrational numbers.
• Selected problems as guided practice.
• Selected problems on black board as student activity.
Lesson 3:
Objective: Students will be able to simplify radicals.
• Selected problems as guided practice.
• Selected problems on black board as student activity. Students will put solutions on black board.
Lesson 4:
Objective: Students will be able to complete a mixed practice of simplifying radicals.
• Worksheet #1 as guided practice / student activity
• Selected problems from text book as student activity.
• Homework:
• Activity 2: “Appetizer #2: Simplifying Scrumptious Radicals”
Lesson 5:
Objective: Students will be able to add and subtract radicals.
• Selected problems as guided practice.
• Selected problems on black board as student activity.
Lesson 6:
Objective: Students will be able to continue to add and subtract radicals.
• Quiz (20 minutes)
• Worksheet. Selected problems as guided practice.
• Selected problems as student activity. Students will put solutions on blackboard.
Lesson 7:
Objective: Students will be able to complete a mixed practice with radicals.
• In class activity to be completed as pairwork in computer lab:
Activity 3: “Main Course: Mixed Practice with Scrumptious Radicals”
• Additional problems from worksheet as student activity.
Lesson 8:
Objective: Students will be able to develop and use the Pythagorean Theorem in solving problems.
• In class activity to be completed as pairwork in computer lab:
Activity 4: “Dessert: The Pleasing Pythagorean Theorem”
• Additional problems from worksheet 4/evens, if necessary.
• Additional problems from worksheet #5/59, if necessary.
Lesson 9:
Objective: Students will be able to review all work to date with radicals.
• Selected problems from numerous worksheets: students to work in pairs.
Lesson 10:
Objective: Students will be able to divide square roots and rationalize the denominator.
• Selected problems as guided practice.
• Selected problems on black board as student activity.
Lesson 11:
Objective: Students will be able to complete a mixed practice with radicals.
• Finding the area and perimeter of geometric shapes (squares, rectangles, triangles) with radical measurements.
• Simplifying radicals: problems involving a combination of addition, subtraction, multiplication and division.
• Word problems with the Pythagorean Theorem.
Lesson 12:
Objective: Students will be able to review for unit test: The Real Number System.
• “Miss G's ‘Challenger' Review Game.” Students complete problems independently. The students request which problems they would like explained on the blackboard. Teacher chooses the student volunteers to go to the board. If correct, that student gets the prize (candy/bonus points). If the solution is incorrect, another student can “challenge” the other and redo the problem. If correct, that student will “steal” the points. If there are any further questions students explain their solutions.
Lesson 13:
Objective: Students will be able to display mastery of skills on The Real Number System Unit.
• Test (all period)
