Bellringer 8/23/17 Head to Go formative! Classify each number as Rational, Irrational, or Not a Real Number C. 15 3 A. 13 B. −36 D. 𝜋 2

Bellringer 8/23/17 Which number is rational? C. 15 3 A. 13 B. −36 D. 𝜋 2

Rational and Irrational Number Rap

Agenda ~Color Code sheet from Yesterday ~Estimating IRRATIONAL Numbers ~Comparing and Ordering

Solo Time Get your sheet from Yesterday and take 10 minutes to complete Rational (BLUE) vs.  Irrational  (YELLOW). Circle time-Rational/Irrational

Solo Time Get your sheet from Yesterday and take 10 minutes to complete Rational (BLUE) vs.  Irrational  (YELLOW). Circle time-Rational/Irrational

Comparing and Ordering Rational & Irrational Numbers & placing on a Number line

Estimating expressions containing irrational numbers Like estimating square roots, just multiply or divide your estimate. 4 10 Est the sqrt: So, 10 is between 3 and 4 If I multiply 4*3=12 and 4*4=16 Therefore, 4 10 is between 12 and 16 More specifically, closer to 3.1 *4= 12.4

Estimating expressions containing irrational numbers Like estimating square roots, just multiply or divide your estimate. 32 2 Est the sqrt: So, 32 is between 5 and 6 If I multiply 5/2=2.5 and 6/2=3 Therefore, 32 /2 is between 2.5 and 3 More specifically, closer to 5.7 /2= 2.85

Ana calculated the lengths of 4 hiking trails. Length (in km) Valley View 2.5 4 Butterfly Gulch 2 𝜋 Waterfall Perch 4. 275 Forest Walk 2 5 Ana calculated the lengths of 4 hiking trails. Because some trails form a triangle or a circle, some lengths have square lengths have square roots or the 𝜋 symbol. Identify the trails that have irrational lengths. Explain your reasoning. List the lengths from shortest to longest. Explain your work.

Think Back 2.

How to Order Numbers Step 1: Change them all to decimals Step 2:  Plot positive numbers Step 3:  Begin at zero and plot your negatives to left (remember the negatives are backwards)

1, 2, 3, … 3, 2, 1, … Least to Greatest Ascending Order Increasing Greatest to Least Descending Order Decreasing 3, 2, 1, …

Graph on the number line: How to Order Numbers Graph on the number line: Ex 1: 4 9 1 −0.5 − 2

Step 1-Change all to decimals How to Order Numbers Step 1-Change all to decimals Ex 1: 4 9 =0.44… 1 =1 −0.5 − 2 =−1.41

Step 2-Plot Positives to Right How to Order Numbers Step 2-Plot Positives to Right Ex 1: 4 9 =0.44… 1 =1 −0.5 − 2 =−1.41 4 9 1

Step 3-Plot Negatives to left How to Order Numbers Step 3-Plot Negatives to left Ex 1: 4 9 =0.44… 1 =1 −0.5 − 2 =−1.41 4 9 −0.5 1 − 2

Line ‘Em Up Activity At each station, teams will work to put numbers on the number line. 

Line ‘Em Up Activity For example, my group has the following numbers: -5.1,  20%, ½, 5 , -11/2 -5.1, 0.2, 0.5, 2.3?, -5.5

Line ‘Em Up Activity Check on desmos: ​ https://www.desmos.com/calculator/l0e7wpmacr​

Line ‘Em Up Activity 4 2 1.7 2 3 4 5 100% Ex 1

Line ‘Em Up Activity 4 2 1.7 2 3 4 5 100% Ex 1

Line ‘Em Up Activity Ex 2 Pink Team 52 − 5 − 25 450% − 12 − 25 4 −7.8

Line ‘Em Up Activity Pink Team 52 − 5 − 25 450% − 12 − 25 4 −7.8 Ex 2 52 − 5 − 25 450% − 12 − 25 4 −7.8 After ordering, have them go back and label I for Irrational or R for Rational

Line ‘Em Up Activity Yellow Team 9 3.5 400% 10 325% Ex 3 Yellow Team 9 3.5 400% 10 325% 900 64 10 3 23 6 18 5 391%

Line ‘Em Up Activity Yellow Team 9 3.5 400% 10 325% Ex 3 Yellow Team 9 3.5 400% 10 325% 900 64 10 3 23 6 18 5 391%

Exit Ticket 1.  

Irrational numbers. Practice your script! You have 1.5 mins of video POOLE FlipGrid You may partner up. Create examples of Rational & Irrational Numbers. Discuss how to estimate expressions containing Irrational numbers. Practice your script! You have 1.5 mins of video Flipgrid.com 2nd CODE:  9e6c1f 3rd CODE:   04f6b9