Chapter Start Thinking! For use before Activity 6.1. For use before Activity Start Thinking! For use before Lesson

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1 . Enrichment and Etension. a =, b =. a =, b =. a =, b =. a =, b =. a =, b is an number ecept.. a =, b =. a =, b =. a =, b =. Check students work.. Puzzle PAY HIM Etension. Start Thinking! For use before Etension. Sample answer: The graph shows the linear equations related to each side of the equation. The -coordinate of the point of intersection is the solution of the equation. Etension. Warm Up For use before Etension.. m =. =. p =. =. r =. = Etension. Practice. =. =. =. =. no; You cannot have CDs.. =. =.. no; The graph of the sstem = and = is a pair of parallel lines.. a. = b. $ c. $ d. Sample answer: the cost of the lemonade Technolog Connection. (, ). (., ). (, ). (, ) Chapter. Start Thinking! For use before Activit. will var depending on the cost of milk. For eample, if one milk costs $., then the entries in the mapping diagram would be $., $., $., and $.. A mapping diagram maps one value to another.. Warm Up For use before Activit.. =... =.. Start Thinking! For use before Lesson. =. =. =. = The output is. Observe students plaing the Guess the Function Game.. Warm Up For use before Lesson.. Add ; missing entries are,, and.. Multipl b ; missing entries are,, and.. Practice A. As each input increases b, the output increases b. Input. As each input increases b, the output increases b. Input A Copright Big Ideas Learning, LLC

2 . (, ), (, ), (, ), (, ). (,, ) (,, ) (,, ) (, ). Input. Input. a. Input b. Ever input has eactl one output. So, the relation is a function. c. For each additional ticket purchased, the price per ticket decreases $. d. $ e. The cost is the same, ou should invite two more friends and get tickets rather than tickets. f. If the pattern continued, the cost for tickets would be $.. Practice B. (,, ) (,, ) (,, ) (, ). (,, ) (,, ) (,, ) (, ). Input As each input increases b, the output decreases b.. a. $., $., $., $. b. Input c. Ever input has eactl one output. So, the relation is a function. d. (, ), (,. ), (,. ), (,. ), (, ), (,. ), (,. ) e f. The cost is $ for the first minute and $. for ever additional minute.. Input. Input. Enrichment and Etension. function; Each input is paired with eactl one output.. function; Each input is paired with eactl one output.. not a function; The input has two outputs, and.. Input As each input increases b, the output increases b (or each output is more than the input).. not a function; The input has two outputs, and.. a. Sample answer: b. Sample answer: Input Input Copright Big Ideas Learning, LLC A

3 . a. Sample answer: b. Sample answer: Input Input. a. Sample answer: (, ) b. Sample answer: (, ). a. Sample answer: (, ) b. Sample answer: (, ). Practice A. = +. =. =. =. =. =. =. =.. O O. a. Sample answer: (, ) b. Sample answer: (, ). Puzzle TULIPS. Start Thinking! For use before Activit. = ; If the length is meters and the width is meters, then the area is the product of the length and width.. Warm Up For use before Activit.. (, ). (, ). Start Thinking! For use before Lesson. Sample answer: The cost of buing apples at $. per apple can be represented b the equation =.. The variable represents the number of apples and represents the total cost. Input,. Warm Up For use before Lesson...,... =. = + =. =... a. d = h b. d = miles. a. s = a b. s = $. c. a = $. Practice B. = +. =. =. =. =. =... a. d = h b. d = miles. =. =. a. P =.b b. b = bags. P A = O O O O A Copright Big Ideas Learning, LLC

4 . Enrichment and Etension. f ( ) =. f ( ) =. f ( ) = +. ( ). f ( ) f ( ) f ( ) =, =, = f = +.. Practice A. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. f ( ) f ( ) f ( ) =, =, =. = +.. =.. a. independent variable: dependent variable: = =. f ( ) f ( ) f ( ) =, =, = =, =, or, =. f ( ) f ( ) f ( ). f ( ) f ( ) f ( ) =, =., =.. f ( ) f ( ) f ( ) =, =, =. Sample answer: f ( ) =. Puzzle YOU DON T HAVE TO TELL ME IT IS ALL OVER TOWN. Start Thinking! For use before Activit. will var. Check students sketches, tables, and graphs.. Warm Up For use before Activit.. = +. = +. Start Thinking! For use before Lesson. Sample answer: A linear function has a graph in which the points fall on a line. The function = is an eample of a linear function.. Warm Up For use before Lesson.. = b. = ; It costs about $. for fluid ounce of brewed coffee. c. d. $. a. independent variable: dependent variable: b. = c. Cost Area d. ft Fluid ounces Height. Practice B. =. =. =. = +. The variable represents the side length of a square; the variable represents the perimeter. Copright Big Ideas Learning, LLC A

5 . a. independent variable: dependent variable: b. =. ; It takes. minute to make burrito. c. d.. min. a. independent variable: dependent variable: b. = c. d. mi e. r = mi h f. h. Enrichment and Etension. At iteration, ou have a completel shaded bo. To go from iteration to iteration, ou split the bo into smaller blocks, keep the bo in the upper left corner, and delete ever other bo thereafter.. Each of the smaller boes in iteration is similar to the original bo in iteration.. Miles Iteration Burritos Hours Number of Squares. At each iteration, the number of squares multiplies b ; After the first iteration, the iteration number tells ou how man factors of to multipl together to determine the number of squares.. no; There is no number that can be added to the number of squares each time to produce the net amount of squares.. The pattern will repeat an infinite number of times. Part of the area of the original bo will alwas remain. So, ou can keep appling the procedure of deleting some boes and keeping others.. Puzzle FROSTBITE. Start Thinking! For use before Activit. The height of a plane during take-off is linear. The others are nonlinear. Check students graphs.. Warm Up For use before Activit.. cm; cm. cm; cm. ft; ft. in.; in.. Start Thinking! For use before Lesson. Sample answer: The cost of admission for people is linear. The length of time ou wait in line at each ride is nonlinear.. Warm Up For use before Lesson... linear.. nonlinear nonlinear linear O A Copright Big Ideas Learning, LLC

6 . Practice A. linear. nonlinear. nonlinear; The graph is not a line.. linear; The graph is a line.. nonlinear; The rate of change is not constant.. linear; The rate of change is constant.. nonlinear; The rate of change is not constant.. a. Sample answer: b.. c. =..; It costs $. for ounce of cereal.. Practice B. nonlinear. linear. linear; The graph is a line.. nonlinear; The graph is not a line.. nonlinear; The equation cannot be written in slope-intercept form.. linear; The equation can be written in slope-intercept form.. linear; The rate of change is constant.. a. nonlinear; Commission does not show constant change. b. $. nonlinear; The equation cannot be written in slope-intercept form. Copright Big Ideas Learning, LLC. Enrichment and Etension. Sample answer: Talor earns $ for allowance each week. The amount of mone she earns in weeks is a linear function. Aiden earns $ per chore that he completes each week. Some weeks he does all of his chores, but other weeks he does not. The amount of mone he earns in weeks is a nonlinear function.. Sample answer: The cost of buing one song is $.. The cost of buing songs is a linear function. The length of each song on a CD is different. If ou graph the song length versus the track number, it is likel a nonlinear function.. Sample answer: Maddie is allowed to watch one hour of television per da. The amount of time she is allowed to watch television in das is a linear function. Haden is allowed to watch television each da after he finishes his homework. Assuming that his homework takes different amounts of time to finish each da, the amount of time he spends watching television is a nonlinear function.. Sample answer: The cost of a plane ticket is $. The cost for people is a linear function. An airplane s altitude versus time during a flight is a nonlinear function.. Sample answer: The perimeter of a square with side length is a linear function. The area of a square with side length is a nonlinear function.. Sample answer: The cost of a medium drink at the food court is $. The cost of medium drinks is a linear function. The number of cars parked at a shopping mall throughout the da is a nonlinear function.. nonlinear. Sample answer: The initial temperature is room temperature, about degrees. After minute, the oven is turned on and takes about minutes to preheat. The oven door is opened around minute and again at minute. So the cookies took minutes to bake. The oven was turned off around minute.. Sample answer: Once the oven reaches the desired temperature, the heating element shuts off. When it cools a certain amount, about degrees, the heating element turns on again, and so on.. ; A

7 . Puzzle YOUR NAME. Start Thinking! For use before Activit. Sample answer: The graph of a linear function shows a constant rate of change. For eample, = +. The graph of a nonlinear function does not have a constant rate of change. For eample, = +.. Warm Up For use before Activit.... Practice A. Sample answer: The speed of the wind increases at an increasing rate, then decreases at a constant rate, increases at an increasing rate, decreases at a constant rate, and then increases at an increasing rate.. Sample answer: The grass grows at a constant rate, then is cut (thus decreasing the height). This is repeated.. Sample answer: The height of the airplane decreases at an increasing rate and then decreases at a decreasing rate.. Sample answer: The number of gallons of gasoline in the tank increases at a constant rate.. a. Sample answer: The number of cars in the parking lot is increasing at an increasing rate. b. Sample answer: The number of cars in the parking lot is decreasing at an increasing rate... Flu Virus. Cases Sales Cell Phone. Start Thinking! For use before Lesson. Shopping Dollars. Degrees Fahrenheit Temperature. Warm Up For use before Lesson.. The speed of the car accelerates for a while, then is at a constant rate, then accelerates again, then is at a constant rate before slowing to a stop.. Sales increase for a period of time, then the level out for a while before increasing again.. Practice B. Sample answer: The number of customers increases at a constant rate and then decreases at a constant rate.. Sample answer: The height increases at an increasing rate and then increases at a decreasing rate.. Sample answer: The cost of the postage remains constant, then jumps, remains constant, then jumps, and repeats this pattern. A Copright Big Ideas Learning, LLC

8 . Sample answer: The height of the water decreases at a constant rate, remains the same, decreases at a constant rate, remains the same, and then decreases at a constant rate.. a. Sample answer: The Demand curve remains constant. The Suppl curve decreases at an increasing rate. b. The left side represents a surplus. The right side represents a shortage. Sample answer: On the left side suppl is greater than the demand. On the right side demand is greater than the suppl. c. Sample answer: The equilibrium point moves up and left, so a shortage occurs sooner.. Enrichment and Etension. Sample answers are given.. discrete data; Onl integers between and make sense.. discrete data; There will be one fied amount of mone each ear.. discrete data; Onl positive integers make sense.. continuous data; It makes sense to use an number for the weight of people.. continuous data; It makes sense to use an number for the distance.. Puzzle PIANO Technolog Connection. Sample answer: Yes, the point (, ) disappears and is replaced b the point (, ).. Sample answer: Yes, the point (, ) disappears and is replaced b the point (, ).. Sample answer: The graph does not add the new value. You must make a new graph to incorporate the new data point.. Sample answer: no; You must select the data ou want for a new graph.. Sample answer: A scatter plot using color for (, ) and another for (, ). The second set of points is units above the first set.. Sample answer: Scatter plots that connect the points with smooth curves or straight lines are a good choice of -plots. Chapter. Start Thinking! For use before Activit. Sample answer: no; The lengths of the sides can be an two lengths that have the given product; Yes; because the sides of a square are the same length, the area is the square of the side length. For eample, if the area is square meters, then the length of each side would be meters.. Warm Up For use before Activit Start Thinking! For use before Lesson. Shelle; the solutions are and.. Warm Up For use before Lesson.. in.. cm. d.. m. Practice A. s = in.. r = m. ±.... ±..... >.. <.. r = ft. = widgets. s = in.. Practice B. s = cm. r = d. ±. ±.. ±... ± s = m >. =. r = m Copright Big Ideas Learning, LLC A