Grade 6 Lesson 1 Item Lesson Plan Page Page 2 Guided Practice Handout Page 4 Activity Handout Page 5
Marlins Think Tank: Sixth Grade Math Lesson Plan #1 VISION-SETTING OBJECTIVE. What is your objective? 6.RP.2 - Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship SWBAT - Use ratio reasoning to solve mathematics problems where a ratio is applied to a real-world situation. KEY POINTS. What knowledge and skills are embedded in the objective? A ratio x:y can be described as for every x, there is y A ratio x:y can be described as x/y Equivalent fractions can be used to solve real-world problems where a ratio is known ASSESSMENT. Describe, briefly, what students will do to show you that they have mastered (or made progress toward) the objective. s will use ratio reasoning to convert measurement units in real world problems. OPENING (10 min.) How will you communicate what is about to happen? How will you communicate how it will happen? How will you communicate its importance? How will you communicate connections to previous lessons? How will you engage students and capture their interest? Today we are going to use M&M s to practice working with ratios. I want to start by creating a ratio of 1:2 with my M&M s. (Write 1:2 on the board). When I see the ratio 1:2, I can describe that fraction as for every 1 blue M&M I have in my bag, I have 2 orange M&M s. MATERIALS. M&M s and plastic bags I will start by taking out 1 blue M&M and 2 orange M&M s and putting them into my bag. I cannot put 1 blue M&M in my bag without also putting in 2 orange M&M s, or I will be changing the ratio. The ratio must stay 1 blue to 2 orange. DETERMINING METHODS In your bag, I would like you to use M&M s to show the ratio 1:2. INTRODUCTION OF NEW MATERIAL (10 min.) How will you explain/demonstrate all knowledge/skills required of the objective so that students begin to actively internalize key points? Which potential misunderstandings do you anticipate? How will you proactively mitigate them? How will students interact with the material? Zip up your M&M bags. We will be able to eat them later! As you already know, the ratio of blue to orange M&M s in my bag can be written as 1:2 and can be described as For every 1 blue M&M in my bag, there are exactly 2 orange M&M s. Anytime you see a ratio, X:Y (write on the board below 1:2), we can read this ratio as For every X there is exactly Y. notebooks We can use this ratio to help us predict how many M&M s of one color are in the bag. For example, I know that the ratio of blue to orange M&M s in my bag is 1:2. That means that for every 1 blue M&M in the bag, there are exactly 2 orange M&M s. If I know that there are 10 blue M&M s in the bag, I can use the ratio to help me determine exactly how many orange M&M s are in the bag using what we know about comparing fractions. First, I will rewrite my ratio of blue to orange as a fraction. X:Y can be rewritten as X/Y. So, 1:2 can be rewritten as ½. Next, I will set my ratio ½ equal to 10/Y, where 10 is the number of blue M&M s in my bag and Y is the unknown number of orange M&M s in my bag. If ½ = 10/Y, we can cross multiply to find the value of Y. (10 x 2 = 20. 20 = Y).
GUIDED PRACTICE (20 min.) How will students practice all knowledge/skills required of the objective, with your support, such that they continue to internalize the key points? How will you ensure that students have multiple opportunities to practice, with exercises scaffolded from easy to hard? Write this sentence on the board: The ratio of rookies to veterans on the Miami Marlins is 1:3. First, have the students write describe the ratio in a sentence. (Ex. For every rookie, there are 3 veterans on the Miami Marlins). Next, have students answer the following question using the previous ratio: notebooks Guided Practice Handout If there are 10 rookies on the Miami Marlins, how many veterans are on the team? Next, hand out the Guided Practice Handout. The students will be working with Miami Marlins Pitching statistics to answer the following questions: 1. What is the ratio of Innings Pitched to Walks for each of the Marlins Pitchers? 2. If Brad Ziegler s ratio of Innings Pitched to Strikeouts is 2:1, how many Strikeouts would you predict Ziegler to make if he pitched 4 innings? 3. Jose Urena has a ratio of 9:1 for Innings Pitched to Runs. Write this ratio out in a sentence to explain its meaning. Tell the students to work on the handout with a partner and then have students share their answers at the end. INDEPENDENT PRACTICE (15 min.) How will students independently practice the knowledge and skills required of the objective, such that they solidify their internalization of the key points prior to the lesson assessment? You are going to use what you ve learned today to help you answer some questions about the Miami Marlins independently on the Activity Handout. 1. The ratio of Miami Marlins left-handed hitters to right-handed hitters is 1:6. b. If there are 4 left handed hitters on the team, how many right handed hitters are there on the team? 2. The ratio of Miami Marlins coaches to players is 1:4. b. If there are 7 coaches on the team, how many players are there? 3. The ratio of Miami Marlins pitchers to catchers is 7:2. b. If there are 4 catchers on the team, how many pitchers are there? Activity Handout Lesson Assessment: Once students have had an opportunity to practice independently, how will they attempt to demonstrate mastery of the knowledge/skills required of the objective? s will take turns coming to the board to teach the class how they arrived at their answers. CLOSING (5 min.) How will students summarize and state the significance of what they learned? Ask students what situations they can think of where knowing a ratio would be useful to solving a real world math problem.
Guided Practice Handout Name: Directions: Use the statistics table below to build some ratios to help the Marlins pitching coach analyze the success of his players. Miami Marlins Pitching Statistics Pitcher Innings Pitched Hits Runs Walks Strikeouts Jose Ureña 9 6 1 3 9 Dan Straily 6 3 2 1 8 Brad Ziegler 2 2 1 3 5 Kyle Barraclough 3 9 5 2 4 1. What is the ratio of Innings Pitched to Walks for each of the Marlins pitchers? a. Jose Urena b. Dan Straily c. Brad Ziegler d. Kyle Barraclough 2. If Brad Ziegler s ratio of Innings Pitched to Strikeouts is 2:1, how many strikeouts would you predict Ziegler to make if he pitched 4 innings? 3. Jose Ureña has a ratio of 9:1 for Innings Pitched to Runs. Write this ratio out in a sentence to explain its meaning.
Activity Handout Name: 1. The ratio of Miami Marlins left-handed hitters to right-handed hitters is 1:6. b. If there are 4 left handed hitters on the team, how many right handed hitters are there on the team? 2. The ratio of Miami Marlins coaches to players is 1:4. b. If there are 7 coaches on the team, how many players are there? 3. The ratio of Miami Marlins pitchers to catchers is 7:2. b. If there are 4 catchers on the team, how many pitchers are there?