Lesson Plan Template: General Lesson Plan
Learning Objectives: What should students know and be able to do as a result of this lesson?
Students will be able to find unit rates related to the distance formula.
Students will also write ratios and solve problems involving ratios and unit rates.
Prior Knowledge: What prior knowledge should students have for this lesson?
Students should be familiar with ratios and know how to express them (MACC.6.RP.1.1).
Students should be able to convert inches to miles and seconds to hours (MACC.5.MD.1.1).
Guiding Questions: What are the guiding questions for this lesson?
What is a ratio? A comparison of two numbers. It can be part to part, or part to whole. It can be written in three ways: with words such as "per", "for one", "for every one", with a colon, and as a fraction. A fraction is a ratio that compares part to whole.
What is a unit rate? A ratio where a quantity of one measure is compared to a single unit of another measure, for example inches per second, miles per hour
When is it helpful to find a unit rate? Unit rates are a great way to determine the better buy when comparison shopping.
Teaching Phase: How will the teacher present the concept or skill to students?
Review with formative questions.
Tell students that they are going to catapult three coins to find out which flies fastest. Pass out recording sheet to each student. Have them write which coin they think will fly the fastest and why (hypothesis), ensure that students know nothing but an incomplete answer will be marked wrong. Choose student volunteers to demonstrate catapulting the coins, timing them and measuring the distance. Talk about the time, it will be in tenths of a second. Should they round? Should everybody do the same? (Yes, because you will want to compare data) Why or Why not? What units are you going to use to measure the distance? How precise are you going to measure?
Now that you have this ratio (the time it took a coin to travel a certain distance), discuss what it tells you? Ask questions that lead students to find the distance in one second. Explain that this is called a unit rate. A unit rate is a comparison of two measurements, where the second number is always one. How would you find it? Ask students what unit rate they are most familiar with that is a ratio of distance and time? (miles per hour)
Guided Practice: What activities or exercises will the students complete with teacher guidance?
Students will create data by catapulting (using plastic spoons) three coins. (Groups will need to go outside on the sidewalk or in the hallway, being careful to not lose the coins.)
After whole group discussion and ensuring everyone knows how to fill out the record sheet, divide students into groups of three. Each group should have a time keeper, a person to work the catapult and someone to measure the distance. Students should record their data on the recording sheet. Once the first student has catapulted all three coins, all students should rotate jobs. Ensure that students record the units used to measure the distance and the time.
After all data is collected students should continue to work in groups to complete the activity. Each student should have his own calculator. You may need to remind students how to convert inches to miles (divide by 5280 and then by 12) and seconds to hours (multiply by 60 two times or multiply by 3600)
You may also need to bring to students attention that the "avg" or average miles per hour is asked for and remind them to add all three rates (mphs) and then divide by three.
Independent Practice: What activities or exercises will students complete to reinforce the concepts and skills developed in the lesson?
Students will complete unit rate worksheet. answer sheet
The worksheet does not specify what notation to express the ratios in nor does it say to simplify.
Teachers may want to clarify according to student needs.
Make sure that students are precise in recording units of measurement.
Closure: How will the teacher assist students in organizing the knowledge gained in the lesson?
All topics should be summarized through questioning the students. Begin with reviewing the data collected and review answers on recording sheet. Did each group get the same coin as being fastest? Why might this vary?
Be sure to discuss question three on the recoding sheet, pointing out that the reciprocal of a unit rate can be helpful in answering questions.
How many ways can you write a ratio? Three, with words, with a colon, or as a fraction
What is a unit rate? a ratio of a quantity to one
Name an example where unit rates are used? Miles per gallon, cost per pound, words per minute, heartbeats per minute, feet per second, miles per hour
Why are unit rates helpful? Unit rates enable you to make better decisions when comparing.
Students will complete worksheet on Unit Rates. Answer Sheet
The worksheet does not specify what notation to write the ratios nor does it state to simplify. Teachers may want to clarify this for their students depending on student needs.
Be sure to focus on vocabulary and that units of measurement are recorded for all unit rates.
Students should be able to answer the following questions.
Define ratio. A comparison of two quantities
Give an example of a ratio. How would you write that ratio? Is there another way to write the ratio?
Since ratios can be expressed in the form of a fraction, does that mean that all fractions are ratios? Yes, fractions are ratios written comparing part to a whole
Give an example of a part to part ratio. Can this be written as a fraction? Yes it can, but attention does need to be given to what the numbers represent
Give an example of a part to whole ratio.
Can you reduce a ratio? Sometimes
Given that the basketball team has 3 wins and 2 losses, what is the ratio of losses to games? wins to games? wins to losses? losses to wins? 2 losses to 5 games, 3 wins to 5 games, 3 wins to 2 losses, 2 losses to 3 wins
If Brittany can type 60 words in 30 seconds, how many words will she type in 1 second? How long will it take her to type 20 words? 2 words in one second, 10 seconds for 20 words
What does the word "unit" mean? (Be prepared to discuss the several uses of unit) unit of measure, apartment unit, army unit, all meaning one
Feedback to Students
Students will participate in formative assessment at beginning of class to ensure each student understands ratios.
Teachers should circulate through groups, asking and answering questions as they arise. Encourage other students to answer questions whenever possible.