IM Alg1.4.2 Lesson: Function Notation

Here are the graphs of some situations you saw before. Each graph represents the distance of a dog from a post as a function of time since the dog owner left to purchase something from a store. Distance is measured in feet and time is measured in seconds.
[table][tr][td]Day 1[/td][td]Day 2[/td][td]Day 3[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table]
Use the given graphs to answer these questions about each of the three days:
Consider the statement, “The dog was 2 feet away from the post after 80 seconds.” Do you agree with the statement?[br]
What was the distance of the dog from the post 100 seconds after the owner left?[br]
Let’s name the functions that relate the dog’s distance from the post and the time since its owner left: function f for Day 1, function g for Day 2, function h for Day 3. The input of each function is time in seconds, t. Complete the table.
Describe what [math]f\left(15\right)[/math] represents in this context.
Describe what [math]g\left(48\right)[/math] represents in this context.
Describe what [math]h\left(t\right)[/math] represents in this context.
[size=150]The equation [math]g\left(120\right)=4[/math] can be interpreted to mean: “On Day 2, 120 seconds after the dog owner left, the dog was 4 feet from the post.”[/size][br][br]What does the [math]h\left(40\right)=4.6[/math] equation mean in this situation?
What does the [math]f\left(t\right)=5[/math] equation mean in this situation?
What does the [math]g\left(t\right)=d[/math]equation mean in this situation?
Rule B takes a person’s name as its input, and gives their birthday as the output. Complete the table with three more examples of input-output pairs.
Rule P takes a date as its input and gives a person with that birthday as the output. Complete the table with three more examples of input-output pairs.
If you use your name as the input to [math]B[/math], how many outputs are possible? Explain how you know.[br]
If you use your birthday as the input to [math]P[/math], how many outputs are possible? Explain how you know.[br]
Only one of the two relationships is a function. The other is not a function. Which one is which? Explain how you know.[br]
For the relationship that is a function, write two input-output pairs from the table using function notation.[br]
Write a rule that describes these input-output pairs:[br][table][tr][td][math]F\left(ONE\right)=3[/math] [/td][td] [math]F\left(TWO\right)=3[/math] [/td][td] [math]F\left(THREE\right)=5[/math] [/td][td][math]F\left(FOUR\right)=4[/math][/td][/tr][/table]
Here are some input-output pairs with the same inputs but different outputs:[br][table][tr][td][math]v\left(ONE\right)=2[/math] [/td][td] [math]v\left(TWO\right)=1[/math] [/td][td] [math]v\left(THREE\right)=2[/math] [/td][td] [math]v\left(FOUR\right)=2[/math][br][/td][/tr][/table] What rule could define function [math]v[/math]?

IM Alg1.2.4 Lesson: Equations and Their Solutions

[size=150]A granola bite contains 27 calories. Most of the calories come from [math]c[/math] grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.[br][br]The equation [math]4c+5=27[/math] represents the relationship between these quantities.[br][/size][br]What could the 5 represent in this situation?[br]
Priya said that neither 8 nor 3 could be the solution to the equation. Explain why she is correct.[br]
Find the solution to the equation.[br]
[size=150]Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.[/size][br][br]Write an equation that represents Jada’s take-home earnings in dollars, [math]E[/math], if she works at the bookstore for [math]h[/math] hours in one day.[br]
One day, Jada takes home $90.45 after working [math]h[/math] hours and after paying the bus fare. Write an equation to represent this situation.
Is 4 a solution to the last equation you wrote? What about 7?[list][*]If so, be prepared to explain how you know one or both of them are solutions.[/*][*]If not, be prepared to explain why they are not solutions. Then, find the solution.[/*][/list]
In this situation, what does the solution to the equation tell us?[br]
[size=150]Jada has a second option to earn money—she could help some neighbors with errands and computer work for $11 an hour. After reconsidering her schedule, Jada realizes that she has about 9 hours available to work one day of the weekend.[/size][br][br]Which option should she choose—sorting books at the bookstore or helping her neighbors? Explain your reasoning.
[size=150]One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from [math]p[/math] grams of protein and [math]f[/math] grams of fat.[br][br]The equation [math]4p+9f=60[/math] represents the relationship between these quantities. [br][/size][br][size=150]Determine if this pair of values could be the number of grams of protein and fat in the snack. Be prepared to explain your reasoning.[br][/size][br]5 grams of protein and 2 grams of fat
10.5 grams of protein and 2 grams of fat
8 grams of protein and 4 grams of fat
If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.[br]
In this situation, what does a solution to the equation [math]4p+9f=60[/math] tell us? Give an example of a solution.[br]

IM Alg1.6.3 Lesson: Building Quadratic Functions from Geometric Patterns

Figure A is a large square. Figure B is a large square with a smaller square removed. Figure C is composed of two large squares with one smaller square added.
[table][tr][td]Figure A[/td][td]Figure B[/td][td]Figure C[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br]Write an expression to represent the area of each shaded figure when the side length of the large square is as shown in the first column.
[img]data:image/png;base64,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[/img][br][br]If the pattern continues, what will we see in Step 5 and Step 18?
Sketch or describe the figure in each of these steps.
How many small squares are in each of these steps? Explain how you know.[br]
Write an equation to represent the relationship between the step number [math]n[/math] and the number of squares [math]y[/math]. Be prepared to explain how each part of your equation relates to the pattern. [br](If you get stuck, try making a table.)[br]
Sketch the first 3 steps of a pattern that can be represented by the equation y = n² - 1.
For the original step pattern in the statement, write an equation to represent the relationship between the step number [math]n[/math] and the perimeter, [math]P[/math].[br]
For the step pattern represented by the equation [math]y=n^2-1[/math], write an equation to represent the relationship between the step number [math]n[/math] and the perimeter, [math]P[/math].[br]
Are these linear functions?[br]
Here is an image showing a pattern. Sketch the next step in the pattern.
Kiran says that the pattern is growing linearly because as the step number goes up by 1, the number of rows and the number of columns also increase by 1. Do you agree? Explain your reasoning.[br]
To represent the number of squares after [math]n[/math] steps, Diego and Jada wrote different equations. Diego wrote the equation [math]f\left(n\right)=n\left(n+2\right)[/math]. Jada wrote the equation [math]f\left(n\right)=n^2+2n[/math]. [br]Are either Diego or Jada correct? Explain your reasoning.[br]

IM Alg2.2.5 Lesson: Connecting Factors and Zeros

What do you notice? What do you wonder?
[table][tr][td][math]f(x)=(x+5)(x+1)(x-3)[/math][br][img]data:image/png;base64,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[/img][br][/td][td][math]g(x)=(x+5)(x+1)(x-2)[/math][br][img]data:image/png;base64,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[/img][br][/td][/tr][tr][td][math]h(x)=(x+4)(x+1)(x-2)[/math][br][img]data:image/png;base64,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[/img][br][br][/td][td][/td][/tr][/table][br]
Find all values of x that make the equation true.
[math]\left(x+4\right)\left(x+2\right)\left(x-1\right)=0[/math]
[math]\left(x+4\right)\left(x+2\right)\left(x-1\right)\left(x-3\right)=0[/math]
[math]\left(x+4\right)^2\left(x+2\right)^2=0[/math]
[math]-2\left(x-4\right)\left(x-2\right)\left(x+1\right)\left(x+3\right)=0[/math]
[math]\left(2x+8\right)\left(7x-3\right)\left(x-10\right)=0[/math]
[math]x^2+3x-4=0[/math]
[math]x\left(3-x\right)\left(x-1\right)\left(x+0.75\right)=0[/math]
[math]\left(x^2-4\right)\left(x+9\right)=0[/math]
Write an equation that is true when [math]x[/math] is equal to -5, 4, or 0 and for no other values of [math]x[/math].[br]
Write an equation that is true when [math]x[/math] is equal to -5, 4, or 0 and for no other values of [math]x[/math], and where one side of the equation is a 4th degree polynomial.[br]
Match each equation to either a graph or a description below.
[size=150]Take turns with your partner to match an equation with a graph or a description of a graph.[/size][list][*]For each match that you find, explain to your partner how you know it’s a match.[/*][*]For each match that your partner finds, listen carefully to their explanation. If you disagree, discuss your thinking and work to reach an agreement.[/*][/list]

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