Presentation is loading. Please wait.

Presentation is loading. Please wait.

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

Published byDenis Perkins Modified over 8 years ago

Similar presentations

Presentation on theme: "Algebra 1 Predicting Patterns & Examining Experiments Unit 3: Visualizing the Change Section 2: Tables, Graphs, and Equations, Oh my!"— Presentation transcript:

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

2 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?

3 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

4 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?

5 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?

6 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?

7 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?

8 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

9 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 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?

10 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x50 gallons 1 gallon = 3.785 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?

11 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x50 gallons 1 gallon = 3.785 liters 50 gallons = 503.785 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?

12 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x189.25 liters 1 gallon = 3.785 liters 50 gallons = 503.785 liters =189.25 liters =189.25 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?

13 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x189.25 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?

14 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x189.25 liters +1+2 liters +173.25 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?

15 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... x189.25 liters +1+2 liters +173.25 liters+ x bottles +173.25 liters needed 2 liters per bottle = 86.625 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?

16 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 liters +1+2 liters +173.25 liters+ x bottles +173.25 liters needed 2 liters per bottle = 86.625 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?

17 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 liters +1+2 liters +173.25 liters+ x bottles (Round up 86.625 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.

18 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

19 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

20 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

21 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

22 How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

23 ? How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

24 # liters = 16 + change How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

25 # liters = 16 + change # liters = 16 + 2 #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

26 # liters = 16 + change # liters = 16 + 2 #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

27 # liters = 16 + change # liters = 16 + 2 #bottles How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

28 # liters = 16 + change # liters = 16 + 2 #bottles y = 16 + 2 x How many bottles are needed to fill the tank? DA NG bottles addedliters in tank 016 118 220 322 424 526 628... 86.625 bottles189.25 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

29 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?

30 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...

31 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).

32 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.

33 Disclaimer All photos contained are used under creative commons rights. The Fish Tank by leestababee http://www.flickr.com/photos/leestababee/2747909023/

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

Similar presentations

Find a linear function to represent each scenario.

Find a linear function to represent each scenario.
Objective- To write a linear equation given a point

Objective- To write a linear equation given a point
How do you know what 1400 and -350 mean in the context of the scenario? A pool is being emptied. The equation to model the remaining water (W) at time.

How do you know what 1400 and -350 mean in the context of the scenario? A pool is being emptied. The equation to model the remaining water (W) at time.
Warm Up Write down objective and homework in agenda

Warm Up Write down objective and homework in agenda
ANALYZING GRAPHS Essential Question?

ANALYZING GRAPHS Essential Question?
Direct Variation Objective: Students will be able to identify, write and graph direct variation equation.

Direct Variation Objective: Students will be able to identify, write and graph direct variation equation.
Four representations of equations of lines from…..

Four representations of equations of lines from…..
Constant rate of change. InputOutput 4-2 6 80 101 2 2 2 1 1 1 Put the output # Input # 1212 1212 1212 The constant rate of change is ½.

Constant rate of change. InputOutput Put the output # Input # The constant rate of change is ½.
Rewrite Formulas and Equations

Rewrite Formulas and Equations
$100 $200 $300 $400 $500 $200 $300 $400 $500 Graphing Events/ Relations Function rules, tables, and graphs Number Patterns Direct Variation Inverse.

$100 $200 $300 $400 $500 $200 $300 $400 $500 Graphing Events/ Relations Function rules, tables, and graphs Number Patterns Direct Variation Inverse.
Welcome to the Summer Institute Day 2 Thursday, August 7 Please sit in lesson study teams Today’s Agenda Homework follow-up Mathematical Modeling Coach’s.

Welcome to the Summer Institute Day 2 Thursday, August 7 Please sit in lesson study teams Today’s Agenda Homework follow-up Mathematical Modeling Coach’s.
Direct Variation What is it and how do I know when I see it?

Direct Variation What is it and how do I know when I see it?
State Test PreparationThursdayName: __________________ 38)What value makes the equation below true? 6x – 9 = 39 a) 5 b) 8 c) 13 d) 24 39)Michael enters.

State Test PreparationThursdayName: __________________ 38)What value makes the equation below true? 6x – 9 = 39 a) 5 b) 8 c) 13 d) 24 39)Michael enters.
ANSWER 1.780 = 12.5r 2.9x + 25 = 178 ANSWER 62.4 17 ANSWER 113.636 = 40g + 28(18 – g) 4. A balloon is released from a height of 5 feet above the ground.

ANSWER = 12.5r 2.9x + 25 = 178 ANSWER ANSWER = 40g + 28(18 – g) 4. A balloon is released from a height of 5 feet above the ground.
Direct Variation What is it and how do I know when I see it?

Direct Variation What is it and how do I know when I see it?
Section 1.4 Patterns and Explanations —use multiple representations to model real-world situations.

Section 1.4 Patterns and Explanations —use multiple representations to model real-world situations.
Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. Bell Ringer: 1.Sketch a graph of each situation.

Objective: SWBAT identify and represent patterns that describe linear function from real world scenarios. Bell Ringer: 1.Sketch a graph of each situation.
Interpreting the Unit Rate as Slope

Interpreting the Unit Rate as Slope
Using Graphs to relate Two Quantities

Using Graphs to relate Two Quantities
Journey into Algebra: Describing Change Dr. Henry Kepner, Dr. Kevin McLeod, Dr. DeAnn Huinker, Mathematics Partnership (MMP) Math Teacher Leader (MTL)

Journey into Algebra: Describing Change Dr. Henry Kepner, Dr. Kevin McLeod, Dr. DeAnn Huinker, Mathematics Partnership (MMP) Math Teacher Leader (MTL)

Similar presentations

Ads by Google