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WELCOME TO THE EGG-STRAVAGANZA DINER GREEN EGGS & HAM – DR. SUESS video skit of Green Eggs & Ham Today we will be ordering, eating, and working at one of Dr. Suess’ favorite restaurants, the Egg-stravaganza Diner. Inside your crates, you will find a set of menus. With your partner, read over the menu items, the special of the day, and the prices listed. Egg-stravaganza Diner Menu Green Eggs $2.25 Regular Eggs $2.00 Ham $1.50 Bacon $1.25 Small Drink $0.75 Large Drink $1.00 Today’s Special $4.25 In a diner, time and efficiency are of utmost importance, so there is a shorter way we will write down a customer’s order. It takes too long to spell out each menu item so each item will be abbreviated using only the first letter. For example, if a customer ordered green eggs, the waiter would write “G”. Today’s special, which is green eggs, ham, and a large drink, is abbreviated as “X”. For now, you will be assisting the cook (Ms. Owens) and telling her what has been ordered. Let’s look at some tickets! Sample order G+H+S What did the customer order? Green eggs, ham, and a small drink How much is this order? $4.50 Let’s share how we calculated this cost mentally! With your partner, I would like you to look at three more orders that have been sent to the kitchen. Together, determine what was ordered and then mentally calculate the cost of each. Be ready to share your strategies. #1 X+G+S=? #2 2G + B = ? #3 E + 3H + 2L = ? Order #1 X+G+S=? What did the customer order? Do you think this was just one person? A special, Green eggs, and a small drink How much is this order? $7.25 Let’s share how we calculated this cost mentally! Order #2 2G + B = ? What did the customer order? What does the 2 in front of the G mean? 2 orders of green eggs and one order of bacon How much is this order? $5.75 Let’s share how we calculated this cost mentally! Order #3 E + 3H + 2L = ? What did the customer order? What does the 3 in front of the H and the 2 infront of the L mean? Eggs, 3 orders of ham and 2 large drinks How much is this order? $8.50 Let’s share how we calculated this cost mentally! The cook has a few more large orders that have been sent to the kitchen. With your partner, discuss what was ordered and then calculate the cost of the bill. Make sure that BOTH partners are prepared to share their strategies. Orders (partner work) #4 2(G + H) = ? #5 (G + S) + 2H = ? #6 X + 3(E + L) = ? #7 3(E + B + L) + 2X = ? Exit ticket: You have $10 to spend at the Diner. Create an order ticket using our abbreviations, then calculate the cost of your order. (Try to spend as much of the $10 as possible.) Explain how you determined the total cost. Day 2 Yesterday, we shared how we could write our orders in more than one way. Let’s look at an example. 4(B + E) Is this the same as 4B + 4E? Prove it!! Guided Practice Rewrite each order in a different way without changing what has been ordered! 3(E + B + L) 3E + 3B + 3L (G + H + S)2 2G + 2H + 2S 2X + 3(L + B + E) 2x + 3L + 3B + 3E 2(L + E) + 3(G + S) 2L + 2E + 3G + 3S 3H + 3E + 3S 3(H + E + S) 2S + 2E + 4G + 4L 2(S + E) + 4(G + L) Does anyone know what this process is called mathematically? Hint: We are distributing the outside number to everything in the parentheses. Notes The Distributive Property **The word “distribute” is often used in the English language. It is defined as: to give out or deliver especially to members of a group. It can help you remember that in Mathematics, the Distributive Property tells you to “distribute” the factor on the outside of the parenthesis to the terms on the inside. Words – to multiply a number by a sum, multiply each number inside the parentheses by the number outside the parentheses. It combines addition and multiplication. Symbols: a(b + c) = ab + ac (b + c)a = ba + ca Examples: 3(4 + 2) = 3(4) + 3(2) (5 + 3)2 = 5(2) + 3(2) On your board, find the product of 23 X 12. Can you use the Distributive Property to solve this mentally? Analyze your work and discuss with your partner a way to PROVE that you used the Distributive Property to solve. Try these on your dry erase board. A) 15 x 13 B) 21 x 27 C) 26 x 14 Time for Sage & Scribe!! Remember the Sage is like the “coach” while the scribe writes only what the sage says. Switch after each problem. Let’s look at a real-life example!! ALEXIS AND CRYSTAL HAVE TO BUY PARTY FAVORS FOR A PARTY. GLOW STICKS COST $2 PER PERSON AND TECH DECKS ARE $5. ALEXIS AND CRYSTAL NEED ENOUGH FAVORS FOR 10 PEOPLE. WRITE AN EXPRESSION TO REPRESENT THIS SITUATION. 10 (5 + 2) OR (10 X 5) + (10 X 2) Evaluate in both ways now. 10 (7) = 70 OR 50 + 20 = 70 Exit ticket: • Cadets at the Naval Academy have to purchase uniforms. A jacket costs $36 and the pants are $29 a pair. They must purchase 4 uniforms. • Write two expressions to represent this situation. • Find the total cost by evaluating the expressions. Yesterday, we practiced writing our diner orders in more than one way WITHOUT changing what was ordered. Let’s review! 3(G +H + L) + 2(E + S) 3G + 3H + 3L + 2E + 2S What is this called mathematically? We also tried this with multiplication. Let’s review! 22 X 14 Solve using the Distributive Property. (22 X 10) + (22 X 4) 220 + 88 308 Why would using the Distributive Property be a good strategy for this problem? Discuss with your team. Time to match equivalent expressions! Day 4 Task: (E + L) = $6.00 The cook accidently splattered ketchup on this order and therefore doesn’t know how many orders of eggs and a large drink to prepare. Working with your partner, use the information that isn’t covered in ketchup to help the cook figure out this order. Let’s look at some other orders covered in ketchup. With your partner, use what isn’t covered to determine what was ordered and/or the number of items ordered. Use the space provided to show your work and/or explain your strategies used. X+ = $6.50 G + H = $10.50 + G + B = $5.50 X+ = $6.50 G + H = $10.50 + G + B = $5.50 Exit ticket: Create your own order with a ketchup stain. On the back, solve for your missing information. Day 5 Task: Dr. Suess Does Lunch! Find the price to buy two milkshakes. $6.00 $6.25 ?? $4.75 It’s your lucky day!!! Behind each door is a piece of information that may be helpful. Door 1 Door 2 Door 3 $7.50 $4.50 $8.75