This game plays just like the popular children’s game, Connect Four® This game plays just like the popular children’s game, Connect Four®. ***How to Setup Connect4*** 1. Come up with 42 review questions and answers. Enter the 42 questions into slides 3 through 44 (one question per slide). Keep a list of the questions and answers with you, just in case you get caught off-guard! ***How to Play Connect4*** 1. Divide your class into two even teams. It’s fun to do boys vs. girls if the numbers are roughly equal! 2. Have them sit in a groups (with their teams) and have each team select a captain. The captain is the only person who can pick spots and provide answers. It gets too confusing, otherwise. One team will be the black team (and control the black “checkers”) and the other team will be the red team (and control the red “checkers”). 3. Choose which team will go first. I like to flip a coin. 4. The first team to answer will choose one of the spaces. They have to choose spaces from the bottom of the board first, then they can progress up toward the top as they “stack” pieces. Think about gravity and how the normal Connect Four game plays! 5. When the team chooses a space (for example, F4), click the small question mark that is next to that space (toward the bottom left). This will take you to the question slide for this space. 6. Read the question to the team and give them one minute to discuss and answer the question. If they get the question right, return to the main game board by clicking the icon toward the bottom-right of the question screen. Then, click the spot where they wanted to place their “checker”. If you click once, the spot will be filled with a black checker. Click again to change it to a red checker. This way, it’s easy to switch between red and black if you make a mistake. 7. If the team got the question wrong, click the icon toward the bottom-right of the question screen to return to the game board. The team’s turn is now over. 8. The first team to get three groups of four “checkers” in a row wins! Teams can score horizontally, diagonally, and/or vertically. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

1 2 3 4 5 6 7 A ? ? ? ? ? ? ? B ? ? ? ? ? ? ? C ? ? ? ? ? ? ? D ? ? ? ? ? ? ? Setup Notes: You do not need to edit this slide in order to play the game. Gameplay Instructions: 1. When a student chooses a spot on the grid, click on the question mark next to that spot. This will take you to the review question for that spot. 2. In order to place a red or black “checker” in a spot, click on the open (white) spot. If you click once, the spot will be filled with a black checker. Click again to change it to a red checker. This way, it’s easy to switch between red and black if you make a mistake. NOTE: Make sure your students play from the bottom of the board first, then they can “stack” pieces up toward the top. Think of how the Connect Four board game works. Gravity!! © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. E ? ? ? ? ? ? ? F ? ? ? ? ? ? ? © 2012 Best Teacher Resources

Question A1 What is the greatest prime number between 1 and 100? Answer: 97 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question A2 The year 2019 is the Year of the Pig. Is 2019 prime or composite? Explain your reasoning. Answer: 2019 is composite. I know that you can find the sum of the digits of a number to see if it is divisible by 3. Since 2 + 0 + 1 + 9 is 12, and 12 is divisible by 3, then 2019 is divisible by 3! This means that 2019 has more than 2 factors, because we know for sure that it has factors of 1, 2019, and 3! © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question A3 What is the eleventh multiple of 9? Answer: 99 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question A4 The Math Counts Club had a party at school. There were 32 cookies and 48 slices of pizza to be shared equally. Each student had the same number of whole cookies and the same number of whole pizza slices, with nothing left over. What is the greatest number of students that could have been at the party? How many cookies and how many slices of pizza would each student get? Answer: 16 students 2 cookies and 3 slices of pizza © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question A5 Henry and Margo both began traveling around a circular track at the same time. Henry is riding his bike, and Margo is walking. It takes Henry 5 minutes to make it all the way around, and it takes Margo 12 minutes. How much time will pass before they meet again at the starting line? How many revolutions will they each have made at that point? Answer: 60 minutes Henry = 12 revolutions, Margo = 5 revolutions © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question A6 Critical Thinking: Use the prime factorization of 70 to help you identify all its factors: 70 = 2 x 5 x 7 Answer: The factors of 140 are 1, 2, 5, 7, 10, 14, 35, 70. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question A7 10 – 6 + 8 ÷ 4 + 2 × 3 10 – 6 + 2 + 2 × 3 10 – 6 + 2 + 6 Identify whether the following individual correctly followed the order of operations: 10 – 6 + 8 ÷ 4 + 2 × 3 10 – 6 + 2 + 2 × 3 10 – 6 + 2 + 6 10 – 8 + 6 2 + 6 8 Answer: No, they did not follow the order of operations. It should go from 10 – 6 + 2 + 6 to 4 + 2 + 6 to 6 + 6 to 12. They accidently added first in one of the steps. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B1 What is the only even prime number? Answer: 2 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B2 How many factors does 64 have? Answer: 64 has 7 factors (1, 2, 4, 8, 16, 32, 64). © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B3 What is the least common multiple of 9 and 45? Answer: 45 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B4 At a movie theater, they give out a free drink to every 75th customer and a free bag of popcorn to every 20th customer. Who is the first customer to get both a free drink and a free bag of popcorn? Out of 3,000 customers, how many will get both a free drink and a free bag of popcorn? Answer: The 300th customer! 10 customers © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B5 Jeremy has two pieces of wood: one is 42 inches and the other is 18 inches. He wants to cut both pieces of wood into smaller pieces so these all the pieces are the same length. If he wants the pieces to be as long as possible and doesn’t want to have any lumber left over, how long should each piece be? How many total pieces of lumber will he have? Answer: (a) 6 inches long (b) 10 total pieces of lumber © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B6 Identify the prime factorization of 20, written in exponential form. Answer: 2 x 2 x 5 or two squared times five © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question B7 Simplify: 12 + 4 – 3(30 ÷ 6) Answer: 1 12 + 4 – 3(5) 1 12 + 4 – 3(5) 12 + 4 – 15 16 – 15 1 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C1 True or false: Any composite number can be written as a product of its prime factors. Answer: True © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C2 Identify 3 key words found in a GCF word problem: Answer: Greatest, biggest, largest, most, equal, same, dividing, distributing, … © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C3 Identify 3 key words found in an LCM word problem: Answer: Least, smallest, minimal, first, next, again, … © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C4 What is the greatest common factor used for? (Think about fractions) Answer: Simplifying/reducing fractions © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C5 What is the least common multiple used for? (Think about fractions) Answer: Finding a common denominator to add or subtract fractions! © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C6 What is the prime factorization of 78, in exponential form? Answer: 2 x 3 x 13 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question C7 Simplify: 7 – 3 + 10 x 4 ÷ 23 Answer: 9 7 – 3 + 5 4 + 5 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question D1 What are the first 10 prime numbers? Answer: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question D2 What is the least common factor of any set of numbers? Answer: 1 ! © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question D3 When two or more numbers have a GCF of 1, they are called: Answer: Relatively Prime © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question D4 What is the greatest common factor of 10, 104, and 22? Answer: 2 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question D5 What is the least common multiple of 9 and 7? Answer: 63 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question D6 Identify the error in the following prime factorization of 60: 60 = 3 x 4 x 5 Answer: 4 is not prime, so this is not the correct prime factorization for 60. It should be 2 x 2 x 3 x 5, or two squared x 3 x 5. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question D7 A number next to a number in parentheses means which operation: Ex. 3(6) Answer: Multiplication © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question E1 Explain the difference between a prime and composite number. Answer: A prime number has only 2 factors – one and itself. A composite number has more than 2 factors. © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question E2 How many factors does 18 have? Answer: 18 has 6 factors (1, 2, 3, 6, 9, 18). © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question E3 What is the first multiple of 4? Answer: 4 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question E4 What is the greatest common factor of 54 and 66? Answer: 6 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question E5 What is the least common multiple of 8 and 10? Answer: 40 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question E6 What is the prime factorization of 200, in exponential form? Answer: 2 x 2 x 2 x 5 x 5 2 cubed x 5 squared © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question E7 Simplify: 7 + (100 ÷ 50 + 2) ÷ 22 Answer: 8 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 Best Teacher Resources

Question F1 Is 43 prime or composite? Answer: Prime © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F2 Identify all the factors of 78. Answer: 1, 78, 2, 39, 3, 26, 6, 13 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F3 Identify the first 5 multiples of 7. Answer: 7, 14, 21, 28, 35 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F4 What is the greatest common factor of 20 and 36? Answer: 4 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F5 What is the least common multiple of 6 and 14? Answer: 42 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F6 What is the prime factorization of 120, written in exponential form? Answer: 2 x 2 x 2 x 3 x 5 2 to the third power x 3 x 5 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources

Question F7 Simplify: 42 – 2(32 + 2) + 11 Answer: 31 © 2012 Best Teacher Resources Any redistribution or reproduction of part or all of the contents in any form is prohibited. You may not distribute or commercially exploit the content. Nor may you transmit it or store it in any other website or other form of electronic retrieval system. © 2012 © 2012 Best Teacher Resources