16-1 Probability and Outcomes Lesson 1 MI/Vocab I will describe probability. outcome probability

16-1 Probability and Outcomes Lesson 1 Standard 1 Standard 4SDAP2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; ).

16-1 Probability and Outcomes Lesson 1 Standard 1 Standard 4SDAP2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).

Lesson 1 Ex1 Kimmela has 8 green and 2 white marbles. Describe how likely it is that Kimmela will choose a green marble Probability and Outcomes There are 10 marbles and 8 are green. More than half the marbles are green. Answer: So, it is likely that Kimmela will choose a green marble.

Lesson 1 CYP Probability and Outcomes Lexie has a bag with 7 blue marbles and 7 red marbles. Describe how likely it is that Lexie will choose a red marble. A.certain B.likely C.equally likely D.not likely

Lesson 1 Ex2 Jeremiah has 15 coins in his pocket. 10 are dimes and 5 are nickels. If he drops a coin on the ground, describe the probability that the coin is a penny. There are 15 coins in Jeremiah’s pocket. Of those coins, none of them are pennies. Answer: Since there are no pennies, it is impossible that Jeremiah dropped a penny Probability and Outcomes

Lesson 1 CYP Probability and Outcomes Luna has 12 coins in her pocket. All of them are dimes. If she drops a coin on the ground, describe the probability that the coin is a dime. A.impossible B.likely C.unlikely D.certain

16-2 Probability and Fractions Lesson 2 MI/Vocab I will describe probability in words and in numbers. favorable outcome

16-2 Probability and Fractions Lesson 2 Standard1 Standard 4SDAP2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; ).

Lesson 2 Key Concept Probability and Fractions

Lesson 2 Ex1 Use words and a fraction to describe the probability of rolling a 5 on a number cube. One out of six numbers on a number cube is a Probability and Fractions Probability = favorable outcomes total possible outcomes = roll a 5 roll any number = 1 6

Lesson 2 Ex Probability and Fractions Answer: So, the probability of rolling a 5 on a number cube is 1 out of 6 or, which is unlikely. 1 6

Lesson 2 CYP Probability and Fractions Use words and a fraction to describe the probability of tossing a coin and getting heads. A. certain; 2 2 B. equally likely; 1 2 C. equally likely; 1 4 D. impossible; 0 2

In a bucket of tennis balls, there are 10 yellow, 6 green, and 4 purple balls. Ms. Gorman reaches in without looking and chooses one. Use words and a fraction to describe the probability of choosing a purple tennis ball. Lesson 2 Ex2 Four out of twenty tennis balls are purple Probability and Fractions

Lesson 2 Ex Probability and Fractions Probability = favorable outcomes total possible outcomes = purple tennis balls every color of tennis balls = 4 20 Answer: So, the probability of choosing a purple tennis ball is, or 4 out of

Lesson 2 CYP Probability and Fractions Tammy has a jar in her room with 5 nickels, 10 pennies, and 2 dimes. She reaches into her jar without looking and chooses one. Use words and a fraction to describe the probability of choosing a penny. A B D C. 2 17

16-3 Problem-Solving Strategy: Make an Organized List Lesson 3 MI/Vocab/Standard 1 I will make an organized list to solve problems.

16-3 Problem-Solving Strategy: Make an Organized List Lesson 3 Standard 1 Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.

16-3 Problem-Solving Strategy: Make an Organized List Lesson 3 Standard 2 Standard 4SDAP2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g. tables, grids, tree diagrams).

Lesson 3 Ex Problem-Solving Strategy: Make an Organized List The Burke family is going camping for the weekend. There are four children in the Burke family, Devon, Nikki, Jade, and Terrell. They will sleep in two tents, with two children in each tent. How many different combinations are possible?

Lesson 3 Ex1 Understand What facts do you know? There are 4 children. Two children will sleep in each tent. What do you need to find? Find how many combinations are possible Problem-Solving Strategy: Make an Organized List

Lesson 3 Ex1 Plan You can make a list of all the possible combinations. Then count the total number of different combinations Problem-Solving Strategy: Make an Organized List

Lesson 3 Ex1 Solve First, write the name of one of the children. Then, write the name of another child by the first child’s name. Continue to do this with each child. Do not repeat pairs Problem-Solving Strategy: Make an Organized List

Lesson 3 Ex1 Solve Nikki–Jade Nikki–Terrell Nikki–Devon Answer: There are 6 different combinations that can be in each tent Problem-Solving Strategy: Make an Organized List Jade–Terrell Jade–Devon Terrell–Devon

Lesson 3 Ex1 Check 16-3 Problem-Solving Strategy: Make an Organized List Look back at the problem. There are 4 children. They can each pair up with three other children. The list shows each child’s name paired with 3 other children. So, the answer is correct.

16-4 Find Probability Lesson 4 MI/Vocab I will find the probability of outcomes using a grid. grid

16-4 Find Probability Lesson 4 Standard 1 Standard 4SDAP2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).

16-4 Find Probability Lesson 4 Standard 2 Standard 4SDAP2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; ).

Lesson 4 Ex1 Sari chose two flowers from the bucket of half pink, half red flowers without looking. Use the grid to find the probability she chose two pink flowers Find Probability There are four possible color combinations: pink and pink, pink and red, red and pink, and red and red. pink, pink red, pink pink, red red, red

Lesson 4 Ex1 One of the outcomes is pink and pink Find Probability Probability = favorable outcomes total possible outcomes = 1 4 Answer: So, the probability is 1 out of 4, or. 1 4

Lesson 4 CYP Find Probability Use the grid to find the probability of tossing two coins and getting tails on both.

A. 1 4 Lesson 4 CYP Find Probability B. 2 4 C. 3 4 D. 4 4

Lesson 4 Ex2 Create a grid to show all possible outcomes of flipping a coin and rolling a number cube. Then use the grid to find the probability of getting heads and a number greater than Find Probability Step 1 Write the possible outcomes for a coin on the side of the grid and the outcomes for a number cube on the top of the grid.

Lesson 4 Ex Find Probability Step 2 Write the possible outcomes for tossing a coin and rolling a die in the squares where each row and column intersect. H1 H2 H3 H4 H5 H6 T1 T2 T3 T4 T5 T6

Lesson 4 Ex Find Probability Answer: There are 12 possible outcomes. Four of the outcomes are getting a heads and rolling a number greater than 2. So, the probability is 4 out of 12 or. 4 12

Lesson 4 CYP Find Probability Use the grid to find the probability of getting tails and an even number. A B C D. 1 12

16-5 Problem-Solving Investigation: Choose a Strategy Lesson 5 MI/Vocab I will choose the best strategy to solve a problem.

16-5 Problem-Solving Investigation: Choose a Strategy Lesson 5 Standard 1 Standard 4MR1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing, and prioritizing information, and observing patterns.

16-5 Problem-Solving Investigation: Choose a Strategy Lesson 5 Standard 1 Standard 4NS3.0 Students solve problems involving addition, subtraction, of whole numbers and understand the relationships among the operations.

Lesson 5 Ex1 CARMEN: My family ate at a restaurant. We ordered salads for $6 each, steaks for $15 each, and sandwiches for $8 each. The total cost was $43. YOUR MISSION: Find how many of each item was ordered Problem-Solving Investigation: Choose a Strategy

Lesson 5 Ex1 Understand What facts do you know? You know the cost of each item. You know the total cost of the meal. What do you need to find? You need to find how many of each item was ordered Problem-Solving Investigation: Choose a Strategy

Lesson 5 Ex1 Plan Use logical reasoning to solve the problem Problem-Solving Investigation: Choose a Strategy

Lesson 5 Ex1 Solve At least one of each item was ordered. Add the costs Problem-Solving Investigation: Choose a Strategy $15 + $6 + $8 = $21 + $8 = $29 So, the cost of the other items ordered must be $43 – $29, or $14.

Lesson 5 Ex1 Solve Since $8 + $6 is the only combination of costs that equal $14, you know that another salad and sandwich were ordered Problem-Solving Investigation: Choose a Strategy Answer: So, Carmen’s family ordered 1 steak, 2 salads, and 2 sandwiches.

Lesson 5 Ex1 Check You can check your answer with addition Problem-Solving Investigation: Choose a Strategy $6 + $6 + $8 + $8 + $15 = $43 So, the answer is correct.

16-6 Tree Diagrams Lesson 6 MI/Vocab I will use a tree diagram to show outcomes. tree diagram

16-6 Tree Diagrams Lesson 6 Standard 1 Standard 4SDAP2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).

16-6 Tree Diagrams Lesson 6 Standard 2 Standard 4SDAP2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; ).

Lesson 6 Ex1 How many outcomes are possible when both spinners are spun? 16-6 Tree Diagrams Use a tree diagram to find the possible outcomes.

Lesson 6 Ex1 List each color on each of the spinners. Then pair each color choice from one spinner to each color choice on the other spinner Tree Diagrams

Lesson 6 Ex1 Spinner Tree Diagrams Red (R) Red (R2) Blue (B2) Purple (P) R, R2 R, B2 R, P Orange (O) Red (R2) Blue (B2) Purple (P) O, R2 O, B2 O, P Spinner 2 Outcome

Lesson 6 Ex Tree Diagrams Yellow (Y) Red (R2) Blue (B2) Purple (P) Y, R2 Y, B2 Y, P Green (G) Red (R2) Blue (B2) Purple (P) G, R2 G, B2 G, P Blue (B) Red (R2) Blue (B2) Purple (P) B, R2 B, B2 B, P

Lesson 6 Ex Tree Diagrams Answer: So, there are 15 possible outcomes.

Lesson 6 CYP Tree Diagrams Michelle has a coin and bag of marbles with 1 yellow, 1 blue, 1 red, 1 green, and 1 purple. How many outcomes are possible when the coin is tossed and one marble is drawn? A.6 B.8 C.10 D.12

Lesson 6 Ex2 Kasim is flipping three coins. Make a tree diagram and use it to find the probability of flipping at least two heads Tree Diagrams

Lesson 6 Ex Tree Diagrams Coin 1Coin 2Coin 3 Heads Tails Heads Tails Heads Tails Heads Tails

Lesson 6 Ex Tree Diagrams There are eight possible outcomes. Four of these outcomes has at least two heads: HHH, HHT, HTH, and THH. = at least 2 heads total possible outcomes Answer: So, the probability is 4 out of 8, or. 4 8

Lesson 6 CYP Tree Diagrams Noel is flipping two coins and spinning the spinner below. Find the probability of getting heads on one coin, tails on the other, and landing on red. B. 2 6 C. 4 6 A D. 2 12

16 Probability 5Min 2-1 (over Lesson 16-1) Describe the probability of spinning a green. A.impossible B.certain C.likely D.unlikely

16 Probability 5Min 2-2 (over Lesson 16-1) Describe the probability of spinning a yellow. A.impossible B.certain C.likely D.unlikely

16 Probability 5Min 2-3 (over Lesson 16-1) Describe the probability of spinning a white. A.impossible B.certain C.likely D.unlikely

16 Probability 5Min 2-4 (over Lesson 16-1) Describe the probability of spinning a green, blue or yellow. A.impossible B.certain C.likely D.unlikely

16 Probability 5Min 3-1 (over Lesson 16-2) Use a fraction to describe the probability of spinning a green. B. 4 out of 12 D. 4 out of 16 A C. 16 4

Probability 5Min 3-2 Use a fraction to describe the probability of spinning a yellow. (over Lesson 16-2) D. 16 out of 10 A. 10 out of 6 B C

Probability 5Min 3-3 Use a fraction to describe the probability of spinning a red. (over Lesson 16-2) B. 2 out of 14 D. 2 out of 15 A C. 16 2

Probability 5Min 3-4 Use a fraction to describe the probability of spinning a blue. (over Lesson 16-2) B. unable to describe probability D. 16 out of 0 A C. 0

16 Probability 5Min 4-1 (over Lesson 16-3) Solve. Use the make an organized list strategy. Lunch choices include ham, turkey, or cheese sandwiches and one of the following: carrots, an apple, chips, or a cookie. How many different lunch combinations are possible? A.7 B.9 C.12 D.18

16 Probability 5Min 5-1 (over Lesson 16-4) Use the grid to find the probability of choosing vanilla with berries.

16 Probability 5Min 5-1 (over Lesson 16-4) A. 2 out of 12 B C. 0 D. 1 12

16 Probability 5Min 6-1 (over Lesson 16-5) Solve. Gabriela has four different plants but only has room in the garden to plant three of them. She needs to decide which three to plant. How many ways can she choose 3 of the 4 plants? A. 3 B. 4 D. 12 C. 3 4