Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Direct Instruction Model Teacher: Theresa Cojohn Lesson: 1-2 Properties of Real Numbers Subject: Algebra 2 Date: 9/7/07 Block: a & B Students will engage in: independent activities cooperative learning visuals peer tutoring simulations pairing hands-on whole group instruction centers a project technology integration lecture other: Standards/Objectives Met: Students will be able to classify real numbers. Students will be able to use the properties of real numbers to evaluate expressions. Time Procedure Followed Class Starter: Text page 10 #52 & 57 Review of Previously Learned Material: In Lesson 1-1, students simplify and evaluated expressions. In this lesson, they broaden those skills to include using the real numbers and applying the commutative, associative, identity, inverse, and distributive properties of real numbers. Homework: Go over the answers verbally. Make sure to check all homework in folder. Remind students to correct any wrong answers and give time for questions. Presentation of New Material: Overhead notes. Use a flow chart to describe the properties of real numbers. Have the students fill in the definitions. Is there an easy way to remember all the categories? Reminder that the square root is either rational or irrational. Properties of real numbers are presented in a table form. Remind students of the link between the inverse and the identity. Guided Practice: Use the attached worksheet and go through the properties together/ Independent Practice: Text page 15 # 4-12 Wrap Up/Lesson Review: Use wrap-up board to create the venn diagram on page 12. Present Closure Homework Given: 1-2 Skills practice #1-22 Test/Quiz Date: Friday, September 14, 2007 Teacher Notes: Materials/Text References Text page 10 Overhead, attached worksheet, text worksheet Text page 15 Objective: Students will be able to classify real numbers and sue the properties of real numbers to evaluate expressions. Fill in the definition under each term. Real Numbers Rational Numbers Natural Numbers Whole Numbers Irrational Numbers Integers The square root of a number is either rational or irrational. Ex. 36 =6 which is rational but is irrational Property The Properties of Real Numbers Addition a+b=b+a Multiplication a*b=b*a (a+b)+c=a+(b+c) (a*b)*c=a*(b*c) a+0=a a*1=a a+ (-a) = 0 a*(1/a)=1 Commutative Associative Identity Inverse Distributive a(b+c)=a*b+a*c 35 1. Classify each number as rational or irrational. If the number is rational, then classify it as a whole number, integer and natural number. Number Rational (Q)/Irrational (I) Whole(W)/Natural(N)/Integer(Z) a. 9 b. 3 c. 4/5 d. 3. 3 3 e. 0 f. -31 g. -0.0101 h. 12/2 i. 100 2. Write the property associated with each expression. Then describe why. Expression a. 9x+(-9x)=0 Property Why? b. (3*4)*25=3*(4*25) c. -9xy+0=-9xy d. (-11/5)(-5/11)=1 e. -6(3+x)=-18+-6x f. x*1=x g. 9*r=r*9 3. Name the additive and multiplicative inverse for each number. a. 10 b. -5 c. ½