Unit 2: Ratios & Proportional Relationships
Important Documents:
Unit 2 Outline
Unit 2 Parent Clear Expectations Letter
Unit 2 Student Clear Expectations
Unit 2 Portfolio Cover Sheet
Unit 2 Data Sheet
Unit 2 Parent Clear Expectations Letter
Unit 2 Student Clear Expectations
Unit 2 Portfolio Cover Sheet
Unit 2 Data Sheet
Learning Target 1: I can write and simplify a ratio.
Misconceptions:
(1) Failing to recognize that the order of the numbers in a ratio must match the order of the words from the situation; especially when written in fraction form. There is no such things as an improper ratio.
Student Outcomes:
(1)
(1) Failing to recognize that the order of the numbers in a ratio must match the order of the words from the situation; especially when written in fraction form. There is no such things as an improper ratio.
Student Outcomes:
(1)
Objective A: I can explain what a ratio is.
Via:
(1) Introduction to ratios ; Video
(2) Intro to ratios; Video
Skill Practice:
(1)
Learning Activities:
(1)
Via:
(1) Introduction to ratios ; Video
(2) Intro to ratios; Video
Skill Practice:
(1)
Learning Activities:
(1)
Objective B: I can write a ratio from a given situation.
Via:
(1) Ratios ; Video
(2) Ratios as fractions ; Video
(3) Ratios; Powerpoint Slides
Skill Practice:
(1)
Learning Activities:
(1) Ratio; M
Via:
(1) Ratios ; Video
(2) Ratios as fractions ; Video
(3) Ratios; Powerpoint Slides
Skill Practice:
(1)
Learning Activities:
(1) Ratio; M
Objective C: I can write and simplify a ratio from a given situation.
Via:
(1) Write and simplify a ratio from a given situation; Video
Skill Practice:
(1)
Learning Activities:
(1) Matching Ratio Game
Via:
(1) Write and simplify a ratio from a given situation; Video
Skill Practice:
(1)
Learning Activities:
(1) Matching Ratio Game
Objective D: I can explain what a ratio means based on a given situation.
Via:
(1) Explain what a ratio means based on a given situation; Video
Skill Practice:
(1)
Learning Activities:
(1)
Via:
(1) Explain what a ratio means based on a given situation; Video
Skill Practice:
(1)
Learning Activities:
(1)
Objective E: I can calculate a missing value in a proportional situation given a ratio.
Via:
(1) Wha'ts a Proportion; Video
(2) Determining Proportionality using cross multiplication; Notes sheet
Skill Practice:
(1) Cross multiplying to find a missing value; L/M skill
Learning Activities:
(1) Calculate a missing value in a proportional situation given a ratio
Via:
(1) Wha'ts a Proportion; Video
(2) Determining Proportionality using cross multiplication; Notes sheet
Skill Practice:
(1) Cross multiplying to find a missing value; L/M skill
Learning Activities:
(1) Calculate a missing value in a proportional situation given a ratio
Learning Target 2: I can find and use a unit rate.
Misconceptions:
(1) Failing to identify which is the unit that must be set equal to 1. EX) miles per hour vs. hours per mile each have a different unit as the denominator.
(2) Failing to understand that in order to make a comparison between rates you must find the unit rate. EX) $7.00 for 1.5 lbs. of chocolate vs. $8.50 for 2.25 lbs of chocolate must be simplified to a unit rate in order to determine the better deal
Student Outcomes:
(1) Students will correctly write and simplify ratios.
(2) Students will utilize proportional relationships to find equivalent rates. (A unit rate is an example of an equivalent rate)
(3) Students will accurately apply unit rate to real world situations.
(1) Failing to identify which is the unit that must be set equal to 1. EX) miles per hour vs. hours per mile each have a different unit as the denominator.
(2) Failing to understand that in order to make a comparison between rates you must find the unit rate. EX) $7.00 for 1.5 lbs. of chocolate vs. $8.50 for 2.25 lbs of chocolate must be simplified to a unit rate in order to determine the better deal
Student Outcomes:
(1) Students will correctly write and simplify ratios.
(2) Students will utilize proportional relationships to find equivalent rates. (A unit rate is an example of an equivalent rate)
(3) Students will accurately apply unit rate to real world situations.
Objective A: I can differ between rates and ratios.
Via:
(1) Ratio v. Rates & Equivalent Rates; Notes Sheet
Skill Practice:
(1)
Learning Activities:
(1) Differing between & writing ratios and rates
Via:
(1) Ratio v. Rates & Equivalent Rates; Notes Sheet
Skill Practice:
(1)
Learning Activities:
(1) Differing between & writing ratios and rates
Objective B: I can calculate equivalent ratios/rates.
Via:
(1) Determining if two ratios are equal using cross products; Video
Skill Practice:
(1) Cross multiplying to determine equivalence
(2) Finding a missing value in a proportion
(3) Writing equivalent ratios
Learning Activities:
(1)
Via:
(1) Determining if two ratios are equal using cross products; Video
Skill Practice:
(1) Cross multiplying to determine equivalence
(2) Finding a missing value in a proportion
(3) Writing equivalent ratios
Learning Activities:
(1)
Objective C: I can calculate a unit rate using division or a proportion.
Via:
(1) Relating Rates & Unit Rates; Video
(2) Unit Rate; Activinspire
Skill Practice:
(1) Finding a unit rate
Learning Activities:
(1) Unit rate using division or a proportion; L/M
(2) What's your rate (kinesthetic activity); L
Via:
(1) Relating Rates & Unit Rates; Video
(2) Unit Rate; Activinspire
Skill Practice:
(1) Finding a unit rate
Learning Activities:
(1) Unit rate using division or a proportion; L/M
(2) What's your rate (kinesthetic activity); L
Objective D: I can apply unit rate to real world situations.
Via:
(1) Applying unit rate to real world situations; Video
(2) Real-life unit rate ; Video
(3) Real Life Unit Rates; Video
Skill Practice:
(1) Comparison Shopping; M
Learning Activities:
(1) Finding the Best Buy; M; division through the hundredth place
(2) Shopping Activity; M and Shopping Activity; L; only whole numbers
(3) Apply unit rate to real world situations (various scenarios); L/M/H
(4) Lets Make a Deal; Shopping activity M
Via:
(1) Applying unit rate to real world situations; Video
(2) Real-life unit rate ; Video
(3) Real Life Unit Rates; Video
Skill Practice:
(1) Comparison Shopping; M
Learning Activities:
(1) Finding the Best Buy; M; division through the hundredth place
(2) Shopping Activity; M and Shopping Activity; L; only whole numbers
(3) Apply unit rate to real world situations (various scenarios); L/M/H
(4) Lets Make a Deal; Shopping activity M
Learning 3: I can apply ratio reasoning to manipulate units to solve real world problems.
Misconceptions:
(1) Failing to recognize the need to convert units in order to solve a problem.
Student Outcomes
(1)
(1) Failing to recognize the need to convert units in order to solve a problem.
Student Outcomes
(1)
Objective A: I can convert between given units.
Via:
(1) Convert between given units; Video
Skill Practice:
(1)
Learning Activities:
(1)
Via:
(1) Convert between given units; Video
Skill Practice:
(1)
Learning Activities:
(1)
Objective B: I can solve real world problems by converting units of measurements.
Via:
(1) Solve real world problems by converting units of measurements; Video
(2) Solve real world distance problems with unit conversions; Video
Skill Practice:
(1)
Learning Activities:
(1)
Via:
(1) Solve real world problems by converting units of measurements; Video
(2) Solve real world distance problems with unit conversions; Video
Skill Practice:
(1)
Learning Activities:
(1)
Mastery Quiz 1
High, Medium, Low
Learning Target 4: I can find the percent of a quantity.
Misconceptions:
(1) Failing to understand that a percent (0%-99%) of a number is going to be smaller than the starting value.
Student Outcomes:
(1) Students will successfully calculate the percent of a given quantity.
(2) Students will apply percentages to real life situations.
(1) Failing to understand that a percent (0%-99%) of a number is going to be smaller than the starting value.
Student Outcomes:
(1) Students will successfully calculate the percent of a given quantity.
(2) Students will apply percentages to real life situations.
Objective A: I can calculate the percent of a given quantity.
Via:
(1) Finding the percent of a quantity using a proportion; Video
(2) Finding the percent of a quantity using decimal multiplication; Video
(3) Finding the percent of a quantity using a proportion; Notes sheet
(4) Finding the percent of a quantity using decimal multiplication; Notes sheet
Skill Practice:
(1) Finding the percent of a total
Learning Activities:
(1)
Via:
(1) Finding the percent of a quantity using a proportion; Video
(2) Finding the percent of a quantity using decimal multiplication; Video
(3) Finding the percent of a quantity using a proportion; Notes sheet
(4) Finding the percent of a quantity using decimal multiplication; Notes sheet
Skill Practice:
(1) Finding the percent of a total
Learning Activities:
(1)
Objective B: I can solve real world problems involving finding the percent of a given quantity.
Via:
(1) Solve real world problems involving finding the percent of a given quantity; Video
(2) Solve real world problems involving finding the percent; Video
Skill Practice:
Learning Activities:
(1) NBA Statistics
(2) Discount & Sales Tax
(3) HW Assignment
(4) Calculate the tip
(5) Discount and Sales Tax Comparison Shopping
(6) Real World Percent Problems
(7) Mix of skill and word problems; L/M
Via:
(1) Solve real world problems involving finding the percent of a given quantity; Video
(2) Solve real world problems involving finding the percent; Video
Skill Practice:
Learning Activities:
(1) NBA Statistics
(2) Discount & Sales Tax
(3) HW Assignment
(4) Calculate the tip
(5) Discount and Sales Tax Comparison Shopping
(6) Real World Percent Problems
(7) Mix of skill and word problems; L/M
Learning Target 5: I can find the percent given the part and the total quantity.
Misconceptions:
(1) Failing to recognize that a proper fraction must be less than 100% and an improper fraction must be larger than 100%.
Student Outcomes:
(1) Students will calculate the percent from a fraction.
(2) Students will apply percentages to real world situations.
(1) Failing to recognize that a proper fraction must be less than 100% and an improper fraction must be larger than 100%.
Student Outcomes:
(1) Students will calculate the percent from a fraction.
(2) Students will apply percentages to real world situations.
Objective A: I can calculate the percent given the part and the total quantity.
Via:
(1) Calculating a percent from a given part and total; Notes sheet with examples
(2) Calculating a percent from a given part and total; Notes sheet with examples
Skill Practice:
(1) Calculate the percent given the part and the total quantity (Quiz)
(2) Calculate the percent; L
Learning Activities:
(1)
Via:
(1) Calculating a percent from a given part and total; Notes sheet with examples
(2) Calculating a percent from a given part and total; Notes sheet with examples
Skill Practice:
(1) Calculate the percent given the part and the total quantity (Quiz)
(2) Calculate the percent; L
Learning Activities:
(1)
Objective B: I can solve real world problems involving finding a missing percentage.
Via:
(1) Finding the missing percent; Video
Skill Practice:
(1) HW Assignment
Learning Activities:
(1) NBA Statistics with spiral questions on back
(2) Test Score Analysis
Via:
(1) Finding the missing percent; Video
Skill Practice:
(1) HW Assignment
Learning Activities:
(1) NBA Statistics with spiral questions on back
(2) Test Score Analysis
Learning Target 6: I can find the total quantity given a percent and a part of the total.
Misconceptions:
(1) Students will mistakenly calculate the percent of a total amount, instead of recognizing the need to find the total amount EX) Alex finished 16 problems, he is 20% done with his assignment. How many total problems are there? The total is 80, but students may calculate 20% of 16 and write 3.2.
Student Outcomes:
(1) Students will recognize the difference between looking for a missing part vs. a missing percent vs. a missing total.
(2) Students will calculate a missing total amount.
(3) Students will solve real world percentage problems.
(1) Students will mistakenly calculate the percent of a total amount, instead of recognizing the need to find the total amount EX) Alex finished 16 problems, he is 20% done with his assignment. How many total problems are there? The total is 80, but students may calculate 20% of 16 and write 3.2.
Student Outcomes:
(1) Students will recognize the difference between looking for a missing part vs. a missing percent vs. a missing total.
(2) Students will calculate a missing total amount.
(3) Students will solve real world percentage problems.
Objective A: I can calculate a missing total amount given the part and the percentage.
Via:
(1) Calculating the missing total; Notes sheet
(2) Proportion Method for LT 5, 6 & 7
(3) Find the whole given the part and percent; Video
Skill Practice:
(1)
Learning Activities/Assignments:
(1)
Via:
(1) Calculating the missing total; Notes sheet
(2) Proportion Method for LT 5, 6 & 7
(3) Find the whole given the part and percent; Video
Skill Practice:
(1)
Learning Activities/Assignments:
(1)
Objective B: I can solve real world problems involving finding a missing total quantity.
Via:
(1) Calculating a missing total; Notes sheet with examples
(2) Solve percent problems by finding the total using a tape diagram; video
Skill Practice:
(1)
Learning Activities:
(1) Find the missing total; Word problem set - M
Via:
(1) Calculating a missing total; Notes sheet with examples
(2) Solve percent problems by finding the total using a tape diagram; video
Skill Practice:
(1)
Learning Activities:
(1) Find the missing total; Word problem set - M
Mastery Quiz 2
High, Medium, Low
Learning Target 7: I can convert between fractions, decimals and percentages
Misconceptions:
(1) Failing to understand that fractions, decimals and percentages all represent part of a total.
Student outcomes:
(1) Students will successfully convert between fractions, decimals and percentages.
(1) Failing to understand that fractions, decimals and percentages all represent part of a total.
Student outcomes:
(1) Students will successfully convert between fractions, decimals and percentages.
Objective A: I can convert a decimal to a percent, and a percent to a decimal.
Via:
(1) Convert a decimal to a percent, and a percent to a decimal; Video
Skill Practice:
(1) Converting between fractions, decimals and percentages; M
(2) Converting between fractions, decimals and percentages; M- includes whole numbers & repeating decimals
(3) Converting between fractions, decimals and percentages; L
Learning Activities:
(3) Paper Clip Percents; L/M/H
Via:
(1) Convert a decimal to a percent, and a percent to a decimal; Video
Skill Practice:
(1) Converting between fractions, decimals and percentages; M
(2) Converting between fractions, decimals and percentages; M- includes whole numbers & repeating decimals
(3) Converting between fractions, decimals and percentages; L
Learning Activities:
(3) Paper Clip Percents; L/M/H
Objective B: I can solve real world problems involving fractions, decimals and percentages.
Via:
(1) Percent Word Problems ; Video
Skill Practice:
(1)
Learning Activities:
(1) Real world problems involving converting
(2) Converting between fractions, decimals and percentages from survey data
Via:
(1) Percent Word Problems ; Video
Skill Practice:
(1)
Learning Activities:
(1) Real world problems involving converting
(2) Converting between fractions, decimals and percentages from survey data
Multiple Targets:
(1) LT 6 & 7 Entrance or Exit Ticket
(2) LT 5 - 7 Percent Proportion Entrance or Exit Ticket
(3) LT 5 - 7 NFL Statistics Problems
(4) LT 5 - 7 Percent proportion review
(5) LT 5 - 7 Percent proportion word problems
(6) LT 5 - 8 Basketball Percentages
(7) Review of Unit 2; Higher level
(1) LT 6 & 7 Entrance or Exit Ticket
(2) LT 5 - 7 Percent Proportion Entrance or Exit Ticket
(3) LT 5 - 7 NFL Statistics Problems
(4) LT 5 - 7 Percent proportion review
(5) LT 5 - 7 Percent proportion word problems
(6) LT 5 - 8 Basketball Percentages
(7) Review of Unit 2; Higher level
