Algebra 1 Predicting Patterns & Examining Experiments Unit 3: Visualizing the Change Section 2: Tables, Graphs, and Equations, Oh my!

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Algebra 1 Predicting Patterns & Examining Experiments Unit 3: Visualizing the Change Section 2: Tables, Graphs, and Equations, Oh my!

Which graph matches the information in the table? Marcus and Janine made the table shown above to represent the difference between their ages during different years. Which graph matches the information in the table?

Which table matches the information in the graph? Ethan heard a weather report that stated the temperature in Wichita would drop from 5 degrees Fahrenheit at a rate of 2 degrees every hour. Which table matches the information in the graph that Ethan made? number of hours

A 50-gallon fish tank is being filled with water with two- liter pop bottles. There are already 16 liters of water in the fish tank. When will the fish tank be full? How many bottles are needed to fill the tank?

A 50-gallon fish tank is being filled with water with 2- liter pop bottles. There are already 16 liters of water in the fish tank. When will the fish tank be full? We are going to DANG this problem. How many bottles are needed to fill the tank?

A 50-gallon fish tank is being filled with water with 2- liter pop bottles. There are already 16 liters of water in the fish tank. When will the fish tank be full? Descriptive Analytic Numeric Graphical We are going to DANG this problem. How many bottles are needed to fill the tank?

A 50-gallon fish tank is being filled with water with 2- liter pop bottles. There are already 16 liters of water in the fish tank. When will the fish tank be full? Descriptive - verbal description (as above) Analytic - an algebraic representation, such as an equation Numeric - a table or set of points Graphical - a picture or graph that represents the situation We are going to DANG this problem. How many bottles are needed to fill the tank?

A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? DA NG

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x50 gallons A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x50 gallons 1 gallon = liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x50 gallons 1 gallon = liters 50 gallons = liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x liters 1 gallon = liters 50 gallons = liters = liters = liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x liters +1+2 liters liters+ x bottles A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank x liters +1+2 liters liters+ x bottles liters needed 2 liters per bottle = bottles A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters liters+ x bottles liters needed 2 liters per bottle = bottles A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank?

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters liters+ x bottles (Round up bottles...) We need 87 two-liter bottles of water in order to fill up the rest of the 50 gallon tank. A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles.

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. ? G

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

? How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

# liters = 16 + change How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

# liters = 16 + change # liters = #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G

# liters = 16 + change # liters = #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G xy

# liters = 16 + change # liters = #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G xy x y

# liters = 16 + change # liters = #bottles y = x How many bottles are needed to fill the tank? DA NG bottles addedliters in tank bottles liters +1+2 liters A 50-gallon fish tank is being filled with water with 2-liter pop bottles. There are already 16 liters of water in the fish tank. How many bottles are needed to fill the tank? Answer: We need 87 bottles. liters in tank G xy x y

What is the meaning of the y-intercept? The number of gallons (g) of gasoline remaining in Antonius’ car is a function of how many miles (m) the car is driven. An equation representing this is g=11–.04m, and it is shown on the graph below. What is the value and meaning of the y-intercept in this problem?

Homework #1 The sides of the similar triangles below form a pattern. Create a table, graph, and equation that represents the relationship between the heights and bases. heightbase 43...

Homework #2 The graph below shows the relationship between the cost of a taxi ride and the distance of the taxi ride. Explain the meaning of the y-intercept and the point (10,11).

Homework #3 After paying an enrollment fee at the community center, the cost for any classes is $5 per class. The enrollment fee is $10. This situation is modeled by the equation: y=5x+10, where the number of classes taken is (x) and the total cost is (y). Create a table and a graph that represents this situation.

Disclaimer All photos contained are used under creative commons rights. The Fish Tank by leestababee