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Click here to see some examples of creating equationsClick here to see some examples of creating equations.

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Presentation on theme: "Click here to see some examples of creating equationsClick here to see some examples of creating equations."— Presentation transcript:

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2 Click here to see some examples of creating equationsClick here to see some examples of creating equations.

3 While at Costco your mom looks at the box of 32 hotdogs and wonders if she should get two of them. She asks you “how many boxes of hotdogs should we get?” You ask “how many people are coming?” She answers “there are about 20 people coming”. You start to think… 20(h) = 32 Click here to see the process of determining an equation. 20(h) =64 Click here to see the process of determining an equation. NEXT

4 You are a manager at the local hardware store. While trying to order new product you look at the last 2 months of sales. In March you sold 64 PVC elbow shaped connectors but in April the store sold 80. You decide that May will be an even better month so you want to make sure the store has 120 on the shelves. You check the current inventory and there are 34 in the store right now. Each box contains 20 connectors. How many boxes do you need to order? 34 + 20(b) ≥ 120 NEXT Not sure where to begin or you are stuck somewhere? Click here to review the skills you need to solve an equation.

5 HOME You received 300 dollars for your birthday yesterday. You decide you want to use 200 dollars to buy a new mp3 player and then use the rest of the money for songs and applications to go on the mp3 player. You make a list of all the games you want and all of the songs you want. Each Application costs 5 dollars and each song costs 1 dollar. How many apps can you get if you bought 50 songs? How many apps can you get if you bought 36 songs? What is more important to you more apps or more songs? 5(a) + 1(50) = 100 5(a) + 1(36) = 100 Not sure where to begin or you are stuck somewhere? Click here to review the skills you need to solve an equation.

6 Click on each bullet point to review each skill. Be able to locate and define given information as being a constant or a variable. Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount.Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount. To review the concept of a constant click here.constant click here Organize the constants into a mathematical equation (sentence). To review the concept of a variable click here.variable click here Back to Example #1

7 Be able to locate and define given information as being a constant or a variable. In example one we read the following situation. While at Costco your mom looks at the box of 32 hotdogs and wonders if she should get two of them. She asks you how many boxes of hotdogs we should get? You ask how many people are coming? She answers there are about 20 people coming. You start to think… In order to identify the constants and variables you must know what each one is. Click on the words above to review each concept. constantsvariables Return to Skills Page Locate and write down given all numbers.As for the variable. Click here These numbers are your constants. Since they represent a fixed amount of something. These numbers are your constants. Since they represent a fixed amount of something. In this situation we are looking for the number of hotdogs per person, so that we are able to determine how many boxes we need to buy. So the variable is the number of hotdogs per person. Now choose a letter to represent the hotdogs. I will choose ‘h.’ Ask questions like: What are the questions asking? What is our answer going to be about?

8 Skills Page Problem #3 Constants are fixed numbers. They never change and remain the same. Generally a constant is a number. However what the number represents determines if that number can change or not. For example: In example #1 we read that at Costco there are 32 hotdogs per box. That is a constant since every box has 32 hotdogs. That is not going to change unless they get a different size box. So we determine that 32 is constant.example #1 Skills Page Problem #2 Skills Page Problem #1

9 Return to Skills Page A variable is something that can vary. Convenient name right. Vary means to change. Something varies because it depends on something else. So a variable in math is a number that can change depending on the circumstances of the question. For example: In example #1 we read about how the number of hotdogs per person depends on the number of boxes that we buy. We must first answer how many hot dogs per person we decide to give each person, in order to answer how many boxes we are planning to buy.example #1 Skills Page Problem #3 Skills Page Problem #2 Skills Page Problem #1

10 Organize constants into those that use a mathematical operation(s) to get a total amount and constants that are the total amount. Return to Skills Page In example 1 we determined that 32, 2, and 20 were our constants. 32 represented the number of hotdogs per box. 2 was the number of boxes we might buy 20 is the number of people that might be attending. So here is where things get a little confusing. Are we looking for the number of hotdogs per box or are we looking for the number of hotdogs per person? Click here when you know. So this means 20 times h (hotdogs) will equal 32 or 64 depending on how many boxes we buy. So we now can organize our constants. 20 is a constant that GETS our total number of hotdogs with through a mathematical operation. 32 IS a total number of hotdogs and 2 when multiplied to 32 gives us the total number of 64 hotdogs if we bought 2 boxes.

11 Organize the constants into a mathematical equation (sentence). Return to Skills Page So now with your constants organized look at the following diagram and decide where your constants fit in and what mathematical operation is appropriate for the variable. ConstantVariable = Total Constant Click here to go back and see the final equation(s).

12 Click on each bullet point to review each skill. Be able to locate and define given information as being a constant or a variable. Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount.Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount. To review the concept of a constant click here.constant click here Organize the constants into a mathematical equation (sentence). To review the concept of a variable click here.variable click here “NEW” Separate the wanted data from the unwanted information.Separate the wanted data from the unwanted information. Back to Example #2

13 Be able to locate and define given information as being a constant or a variable. In order to identify the constants and variables you must know what each one is. Click on the words above to review each concept. constantsvariables Return to Skills Page In example 2 we read: You are a manager at the local hardware store. While trying to order new product you look at the last 2 months of sales. In March you sold 64 PVC elbow shaped connectors but in April the store sold 80. You decide that May will be an even better month so you want to make sure the store has 120 on the shelves. You check the current inventory and there are 34 in the store right now. Each box contains 20 connectors. How many boxes do you need to order? 2, 64, 80, 120, 34, 20 Constants What are we trying to find? The number of boxes we need to order. So boxes is our variable. Choose a letter to represent boxes. Variables Constants Variables

14 Organize constants into those that use a mathematical operation(s) to get a total amount and constants that are the total amount. Return to Skills Page You are a manager at the local hardware store. While trying to order new product you look at the last 2 months of sales. In March you sold 64 PVC elbow shaped connectors but in April the store sold 80. You decide that May will be an even better month so you want to make sure the store has 120 on the shelves. You check the current inventory and there are 34 in the store right now. Each box contains 20 connectors. How many boxes do you need to order? Constant that represents Total amount Constants that use mathematical operations to get total amount.

15 Separate the wanted data from the unwanted information. 2, 64, 80, 120, 34, 20 Constants ‘b’ represents the number of boxes that I need to order. Variable 2 – Represents the past two months being looked at. Does this have any effect the current month? No 64 – Is a constant that represents the number of elbows sold in March. Do we need this number to help us calculate today’s need? No 80 – This is the same as 64 accept that it is talking about the number of elbows sold in April. Do we need this number to help us calculate today’s need? No 120 – represents the projected number needed for May. Does this help us determine how many boxes we need to order in May? Yes 34 – The total number of current elbows available in the store. Needed or not needed to determine the number of elbows needed to order. Yes 20 – Total number of elbows that are shipped in each box. Needed to determine the number of boxes you need to order? Yes Click here to listen to this thought process. Return to Skills Page

16 Organize the constants into a mathematical equation (sentence). Return to Skills Page Click here to hear and see it all come together.

17 Click on each bullet point to review each skill. Be able to locate and define given information as being a constant or a variable. Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount.Organize constants into those that use a mathematical operation to get a total amount and constants that are the total amount. To review the concept of a constant click here.constant click here Organize the constants into a mathematical equation (sentence). To review the concept of a variable click here.variable click here Separate the wanted data from the unwanted information. Back to Example #3

18 Be able to locate and define given information as being a constant or a variable. In order to identify the constants and variables you must know what each one is. Click on the words above to review each concept.constants variables You received 300 dollars for your birthday yesterday. You decide you want to use 200 dollars to buy a new mp3 player and then use the rest of the money for songs and applications to go on the mp3 player. You make a list of all the games you want and all of the songs you want. Each Application costs 5 dollars and each song costs 1 dollar. How many apps can you get if you bought 50 songs? How many apps can you get if you bought 36 songs? What is more important to you more apps or more songs? Return to Skills Page 300 200 5 1 50 36 Applications (a) Songs (s)

19 Organize constants into those that use a mathematical operation(s) to get a total amount and constants that are the total amount. Return to Skills Page 200 Amount you spent on an mp3 player. The amount of money you used to get the mp3 player. Uses subtraction to get total amount you currently have. 1 Cost per song you buy. Multiplies to the number of songs you bought to get the total cost of all the songs. 5 Cost per Application. Multiplies the number of applications you buy to get the total cost of all the applications. 50 Number of songs you buy in scenario #1 The number of songs you decide to buy in scenario #1 36 Number of songs you buy in scenario #2 The number of songs you decide to buy in scenario #2 300 The amount of money you received for your birthday. Total amount of money you begin with 100 The total amount of money that you have left to spend on songs and applications.

20 Separate the wanted data from the unwanted information. Return to Skills Page Needed for scenario #1Needed for scenario #2 100 1 5 50 36 a - Applications s - Songs You received 300 dollars for your birthday yesterday. You decide you want to use 200 dollars to buy a new mp3 player and then use the rest of the money for songs and applications to go on the mp3 player. You make a list of all the games you want and all of the songs you want. Each Application costs 5 dollars and each song costs 1 dollar. How many apps can you get if you bought 50 songs? How many apps can you get if you bought 36 songs? What is more important to you more apps or more songs?

21 Organize the constants into a mathematical equation (sentence). Return to Skills Page 100 1 5 36 a 100 1 5 36 a + - ÷ x = x


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