Apply at the Local Candy Shop

We will analyze the rules of divisibility. I will discuss with my partner how to apply the rules of divisibility for the numbers 2, 3, 5, 7, and 11 for a friendly game of competition. We will analyze the rules of divisibility.

2 = If the number ends in a 0, 2, 4, 6, or 8 it is divisible by 2. 3 = If you add up the digits in a number and the sum is able to be divided evenly by 3. (ex. 15 => 1+5=6 and when you divide 6 by 3 you get 2) 5 = If the number ends in a 0 or a 5 it is divisible by 5. 7 (the ugly duckling)= There is no trick, you just have to know the products of 7. 11 (twins) = Any number that reflects itself (22, 33, 44, 55…) is divisible by 11.

Yellow/Gray = can only be found by multiplying that number by 1 White = shows you all of the factors you can use for that product/number (remember that that number can also be multiplied by 1) Can numbers be divisible by more numbers than just 2, 3, 5, 7, and 11? How do you know this?

ACTIVITY TIME 5 Roll the two dice and use them to create a number or 35 Decide which Rule of Divisibility you can use on the number Rule of Divisibility that matches is 5 and/or 7 Color in the honeycomb with the number that fits the rule that you have chosen The first person to fill in a row (horizontal or vertical) is the Winner Winner Chicken Dinner!! 5

Day in Review EXIT TICKET QUESTION: What did we do today? We learned quick tricks to determining if a number is divisible by 2, 3, 5, 7, or 11 We analyzed a hundreds chart to learn how to read it and locate what factors a number is divisible by We applied our new skills to an activity Did we master today’s objective? I will discuss with my partner how to apply the rules of divisibility for the numbers 2, 3, 5, 7, and 11 for a friendly game of competition. EXIT TICKET QUESTION: What two new pieces of reference material can us use to determine what factors a given number is divisible by?

We will identify prime and composite numbers. I will discuss with my partner how prime and composite numbers are similar and different. We will identify prime and composite numbers.

The local candy shop is wanting to start boxing their candy versus selling it by the bag. The boxes can only be rectangular or square in shape. There can be no empty spaces in the box (all spaces need to have a piece of candy filling them) You need to find all of the different types of boxes that can be assembled using the given the number your boss tells you that they want in a box.

Yellow/Gray = Prime Numbers White = Composite Numbers 1/Red = Is not Prime or Composite

Example: The boss gives you the number 6

The boss gives you the number 7 Example: The boss gives you the number 7 7x1

Help Wanted: It’s Your Turn to Shine Step 1: Draw a number from the bucket Step 2: Discuss with your partner how many rectangular or square shaped candy boxes you can make with that number (lay your ideas out on paper to see if they work or not)? Remember: You CANNOT have any empty boxes!! Step 3: Draw your blueprints on the paper Remember the Objective: I will discuss with my partner how prime and composite numbers are similar and different.

Prime Numbers Only have 2 factors (1 and itself) You can only build one type of box for these numbers What is the reason for only being able to build one type of array or candy box for the number 23? 2 2x1 3 3x1 5 5x1 7 7x1 11 11x1 13 13x1 17 17x1 19 19x1 23 23x1 29 29x1 31 31x1 37 37x1 41 41x1 43 43x1 47 47x1 53 53x1 59 59x1 61 61x1 67 67x1 71 71x1 73 73x1 79 79x1 83 83x1 89 89x1 97 97x1

You can build more than one type box for them What kind(s) of arrays or candy boxes can you design with the number 16? Composite Numbers Have more than 2 factors You can build more than one type box for them 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 34 35 36 38 39 40 42 44 45 46 48 49 50 51 52 54 55 56 57 58 60 62 63 64 65 66 68 69 70 72 74 75 76 77 78 80 81 82 84 85 86 87 88 90 91 92 93 94 95 96 98 99 100

Special Note: The #1 is not prime or composite!! It is not prime because it does not have exactly two different factors like other prime numbers, its only factor is 1 (1x1). It is not composite because it does not have more than two factors.

What distinguishes a composite number from a prime number? Prime or Composite??? What distinguishes a composite number from a prime number?

Way to make it through your first day of training! Did we fulfill today’s objective? I will discuss with my partner how prime and composite numbers are similar and different. How are they similar? How are they different? EXIT TICKET QUESTION: What reference material will you use to train future employees on how to find the factors of a composite and prime number?

We will identify prime and composite numbers. I will discuss with my partner how prime and composite numbers are similar and different. We will identify prime and composite numbers.

The local candy shop is wanting to start boxing their candy versus selling it by the bag. The boxes can only be rectangular or square in shape. There can be no empty spaces in the box (all spaces need to have a piece of candy filling them) You need to find all of the different types of boxes that can be assembled using the given the number your boss tells you that they want in a box.

Yellow/Gray = Prime Numbers White = Composite Numbers 1/Red = Is not Prime or Composite

Help Wanted: It’s Your Turn to Shine CONTINUE YOUR ACTIVITY FROM YESTERDAY WITH THE SAME PARTNER Step 1: Draw a number from the bucket Step 2: Discuss with your partner how many rectangular or square shaped candy boxes you can make with that number (lay your ideas out on paper to see if they work or not)? Remember: You CANNOT have any empty boxes!! Step 3: Draw your blueprints on the paper Remember the Objective: I will discuss with my partner how prime and composite numbers are similar and different.

Congratulations, You Have Been Hired!! Did we accomplish today’s objective? I will discuss with my partner how prime and composite numbers are similar and different. How are they similar? How are they different? EXIT TICKET QUESTION: What reference material will you use to train future employees on how to find the factors of a composite and prime number?