Grade 6 Lesson 1 Item Page Lesson Plan Page 2 Student Activity Handout 1 Page 4 VISION-SETTING Marlins Think Tank: Sixth Grade Math Lesson Plan #1 OBJECTIVE. KEY POINTS. What is your objective? What knowledge and skills are embedded in the 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 convert solve mathematics problems where a ratio is applied to a real world situation ASSESSMENT. 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 Describe, briefly, what students will do to show you that they have mastered (or made progress toward) the objective. Students will use ratio reasoning to convert measurement units in real world problems. OPENING (10 min.) MATERIALS. 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&ms. (Write 1:2 on the board). When I see the ratio 1:2, I can describe that fraction as “for every 1 red m&m I have in my bag, I have 1 green m&m’s.” So I will start by taking out 1 red m&m and 2 green m&m’s and putting it into my bag. I cannot put in 1 red m&m in my bag without also putting in 2 green m&m’s, or I will be changing the ratio. The ratio must stay 1 red to 2 green. M&M’s and plastic bags 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 red to green m&m’s in my bag can be written as 1:2 and can be described as “For every 1 red m&m in my bag, there are exactly 2 green 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.” 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 red to green m&m’s in my bag is 1:2. That means that for every 1 red m&m in the bag, there are exactly 2 green m&m’s. If I know that there are 10 red m&m’s in the bag, I can use the ratio to help me determine exactly how many green m&m’s are in the bag using what we know about comparing fractions. First, I will rewrite my ratio of red to green 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 red m&m’s in my bag and Y is the unknown number of green 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). Chart paper (or White Board) and markers 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? Trade m&m bags with a partner. They will answer some practice questions using your bag. First, I want you to write down on your paper the ratio that is represented in the bag. When you write your ratio, I would like you to write the smaller number first. So in the ratio X:Y, x < Y. Next, I want you to describe the ratio in a sentence. Your sentence should sound something like, “For every (blank), there is exactly (blank).” Ask students to share their sentences out loud. Now, I want you to copy this question on your paper: There are 12 yellow m&m’s in a bag. The ratio of yellow m&m’s to blue m&m’s is 1:2. How many blue m&m’s are in the bag? Remember, we can rewrite the ratio as a fraction, ½, and set that equal to a second fraction, 12/Y, where Y is the unknown number of blue m&m’s. When you write your equation with equivalent fractions, it is very important that your numerators represent the same quantity and that your denominators represent the same quantity (i.e. if yellow m&m’s are the numerator of your first fraction, then yellow m&m’s should be in your numerator for your second fraction). Let’s try one more question. This one is from the Miami Marlins. The ratio of rookies to veterans on the Miami Marlins is 1:3. If there are 10 rookies on the team, how many veterans are on the team? Ask student to describe the ratio in a sentence. (“For every (blank), there is exactly (blank).” Ask student to set up a problem using equivalent fractions. Ask student to solve for the unknown value. 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 from the Miami Marlins independently. 1. On the Miami Marlins, there ratio of left handed hitters to right handed hitters is 1:4. a. Describe the ratio in a sentence. b. If there are 15 left handed hitters on the team, how many right handed hitters are there on the team? 2. On the Miami Marlins, the ratio of coaches to players is 1:6. a. Describe the ratio in a sentence. b. If there are 7 coaches on the team, how many players are there? 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? Students 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. paper, pencil Name____________________________ 1. On the Miami Marlins, the ratio of left handed hitters to right handed hitters is 1:4. a. Describe the ratio in a sentence. b. If there are 15 left handed hitters on the team, how many right handed hitters are there on the team? 2. On the Miami Marlins, the ratio of coaches to players is 1:6. a. Describe the ratio in a sentence. b. If there are 7 coaches on the team, how many players are there?
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