What are we going to do?

1. Tuesday, November 5, 2013 Name: ________________________ Per: __ Learning Objective We will solve and interpret1 problems using a Venn Diagram2 and set theory. What are we going to do? CFU Activate Prior Knowledge If we look at the following set3 of numbers 1-20, we can find many different qualities that are unique, but that also have common characteristics as well. U 16 1 2 6 3 9 4 12 8 15 5 10 2 overlapping circles that represent ideas or items that have similarities and differences. 3 items or ideas that belong to a group. 1explain (synonym) Vocabulary Vocabulary Vocabulary 18 14 20 7 11 13 17 19

2. Concept Development • A Venn Diagramis a collection of two or more sets of data (numbers, information, etc.) • Representing information using Venn Diagrams allow us to see similarities and differences . • Venn Diagrams are an easy way to show similarities and differences visually using a graphic organizer. CFU How many individual sets are shown in the Venn Diagram to the left? Explain what the overlapping regions represent. Venn Diagram - Triple Suspense Only Drama Only Comedy Only Suspense / Drama Suspense / Comedy Comedy / Drama Suspense / Drama / Comedy Three sets

3. Concept Development • A Venn Diagramis a collection of two or more sets of data (numbers, information, etc.) • Representing information using Venn Diagrams allow us to see similarities and differences . • Venn Diagrams are an easy way to show similarities and differences visually using a graphic organizer. CFU What do the Sets A and B represent? Explain what the overlapping regions represent. Union & Intersection When two sets of data have some items that are common, they can be represented as overlapping circles in a VENN DIAGRAM. This is called the Intersection. Intersection shows the what Set A and Set B have in common.

4. Concept Development • A Venn Diagramis a collection of two or more sets of data (numbers, information, etc.) • Representing information using Venn Diagrams allow us to see similarities and differences . • Venn Diagrams are an easy way to show similarities and differences visually using a graphic organizer. CFU What happens when Set A and B are combined? Union & Intersection When two sets of data are combined in a VENN DIAGRAM, they become one. This is called the Union of the data. Union shows the what Set A and Set B have in total.

5. Skill Development/Guided Practice • A Venn Diagramcan compare information from two or more sets. • Typically, Venn Diagrams compare either two or three sets of data . • Areas where sets overlap show similarities, while areas that do not intersect show differences.. How do you find the intersection? What does the union show? CFU Union / Intersection. 2 Identify what each Set contains. Identify what items are common (these are called intersection ) Without writing duplicates, list all terms in numerical order. This is the union U 1 3 2 3 { 10, 20, 30} Intersection / Common Terms { 10, 15, 20, 25, 30, 40, 50} Union / All Terms { 50 } Intersection / Common Terms { 10, 20, 30, 40, 50, 55, 60, 65, 70} Union / All Terms

6. Skill Development/Guided Practice How do you find the intersection? What does the union show? CFU Union / Intersection. 2 Identify what each Set contains. Identify what items are common (these are called intersection ) Without writing duplicates, list all terms in numerical order. This is the union U 1 alphabetical 3 2 3 Intersection / Common Terms { grape, orange} Union / All Terms { grape, orange, cherry, ginger ale, lemon-lime, cola, cherry cola, root beer, grapefruit} { a, e, i} Intersection / Common Terms Union / All Terms { a, b, c, d, e, f, g, h, i, o, u, y}

7. Relevance PRIME ODD 3 5 7 11 13 17 19 23 29 31 37 41 43 47 1 9 15 21 25 27 33 35 39 45 49 Prime: number with exactly 2 factors. Odd: numbers ending in 1,3,5,7,9 Even: numbers ending in 2,4,6,8,0 2 What are the sets you are asked to compare? (Pair-Share) How can you label sets? (Pair-Share) CFU 4 6 8 10 12 14 16 18 20 24 26 28 30 32 34 36 38 40 42 44 46 48 50 Vocabulary EVEN

8. Skill Closure CFU Union / Intersection. Matching and Reading Venn Diagrams. Identify what each Set contains. Identify what items are common (these are called intersection ) Without writing duplicates, list all terms in numerical order. This is the union U Identify what each set describes. Interpret the data contained in each set. Read each question carefully and determine which Venn Diagram states . 1 1 2 2 3 3 { (none) } Intersection / Common Terms Word Bank Word Bank Union / All Terms { h,i,j,k,l,m,n,o,p,q,r,s,t,u} A B How could SET A and SET B above be represented in the Venn Diagram to the left? What do the brackets { } show us? o p q r s t u h i j k l m n Set Venn Diagram Union Intersection Similarities Differences Summary Closure What did you learn today about Venn Diagrams and Set Theory? (Pair-Share) Use words from the word bank.

9. Independent Practice • A Venn Diagramcan compare information from two or more sets. • Typically, Venn Diagrams compare either two or three sets of data . • Areas where sets overlap show similarities, while areas that do not intersect show differences.. How do you find the intersection? What does the union show? CFU Union / Intersection. 2 Identify what each Set contains. Identify what items are common (these are called intersection ) Without writing duplicates, list all terms in numerical order. This is the union U 1 3 2 3 { 2, 4, 6, 8} Intersection / Common Terms Union / All Terms Intersection / Common Terms Union / All Terms Intersection / Common Terms Union / All Terms

10. Independent Practice TACOS PIZZA 7 6 4 2 Fill in the Venn Diagram to the left with clues from the text above. 3 4 32 6 HAMBURGERS

11. Independent Practice

12. Periodic Review 1 x = 17 p = 14 225 169 36 144 225 36 144 169 Estimation Approximately where does fall on the number line to the right? Periodic Review 2 15 13 6 12 y =  b =  1 24 36 35 -1 9 -7 16 1 3 3 2 -1 7 451 24