PowerPoint Presentation

$7.50

$4.50

$8.75Egg-stravaganza Diner MenuGreen Eggs$2.25Regular Eggs$2.00Ham$1.50Bacon$1.25Small Drink$0.75Large Drink$1.00Todays Special$4.25In a diner, time and efficiency are of utmost importance, so there is a shorter way we will write down a customers 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. Todays 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. Lets look at some tickets!Sample orderG + H + SWhat did the customer order?Green eggs, ham, and a small drinkHow much is this order?$4.50Lets 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 #2 #3X + G + S = ? 2G + B = ? E + 3H + 2L = ?Order #1X + G + S = ?What did the customer order? Do you think this was just one person?A special, Green eggs, and a small drinkHow much is this order?$7.25Lets 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 baconHow much is this order?$5.75Lets 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 drinksHow much is this order?$8.50Lets 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 #52(G + H) = ? (G + S) + 2H = ?

#6 #7X + 3(E + L) = ? 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.After this slide, refer to Smartboard activity for plates lesson. (distributive property)14Yesterday, we shared how we could write our orders in more than one way. Lets look at an example.4(B + E)Is this the same as 4B + 4E?Prove it!!Day 2Guided PracticeRewrite each order in a different way without changing what has been ordered!3E + 3B + 3L3(E + B + L)(G + H + S)22G + 2H + 2S2x + 3L + 3B + 3E2X + 3(L + B + E)2(L + E) + 3(G + S)2L + 2E + 3G + 3S3(H + E + S)3H + 3E + 3S2S + 2E + 4G + 4L2(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)Show how this relates to multiplication here! Ex. 32 X 12 is the same as 32 x 10 + 32 x 222On your board, find the product of23 X 12.Analyze your work and discuss with your partner a way to PROVE that you used the Distributive Property to solve.Can you use the Distributive Property to solve this mentally?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.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. Lets look at a real-life example!!

10 (5 + 2) OR (10 X 5) + (10 X 2)Evaluate in both ways now.10 (7) = 70 OR 50 + 20 = 70Can refer to PA ch. 3 distr. Prop ppt26Cadets 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.

Exit ticket:Yesterday, we practiced writing our diner orders in more than one way WITHOUT changing what was ordered. Lets review!3(G +H + L) + 2(E + S)

3G + 3H + 3L + 2E + 2SWhat is this called mathematically?We also tried this with multiplication. Lets review!22 X 14Solve using the Distributive Property.(22 X 10) + (22 X 4) 220 + 88 308Why 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) = $6.00The cook accidently splattered ketchup on this order and therefore doesnt know how many orders of eggs and a large drink to prepare. Working with your partner, use the information that isnt covered in ketchup to help the cook figure out this order.Lets look at some other orders covered in ketchup. With your partner, use what isnt 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 = $5.50See p. 5 of original activity for discussion about steps to solve all equations. Follow up with PPt with video M6 ch 8 one step equations add or subtr folder and PA ch. 3 equations 2 step32X + = $6.50

G + H = $10.50

+ G + B = $5.50Exit 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??Its your lucky day!!! Behind each door is a piece of information that may be helpful.Door 1Door 2Door 3