# Week 11: Unit Rate and Proportions November 9th – 13th

Ratios foldable (to be used Tuesday with 5th, 7th, and Virtual Reg) Print for notebook

Unit Rate Knowledge Check

Converting Unit Rates Practice (pages used by 8th period on Tuesday)

Unit Rate Foldable for Notebook

Unit Rate Knowledge Check (pages used by 8th period on Tuesday)

Unit Rate Work Practice

Unit Rate Practice work  (Regular Math work Monday/Tuesday Virtual, 1st, 5th, 7th pages 2-4 only)

Rate Work (pages to be completed by advanced and regular math Thurs/Fri)

Ordering Ratios (guided notes to be used by Advanced math Thurs/Fri) Teacher Nancy Morris Math 6th Week 11: Unit Rate and Proportions November 9th - 13th Explore Unit Rate, Proportions Practice
Standard(s) Taught

Regular Math:

MAFS.6.RP.1.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, “The ratio of wings to beaks in the bird house at the zoo was 2: 1, because for every 2 wings there was 1 beak.” “For every vote candidate A received, candidate C received nearly three votes.”

MAFS.6.RP.1.2: (Links to an external site.)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. For example, “This recipe has a ratio of 3 cups of flour to 4 cups of sugar, so there is 3/4 cup of flour for each cup of sugar.” “We paid $75 for 15 hamburgers, which is a rate of$5 per hamburger.”

MAFS.6.RP.1.3: (Links to an external site.) Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.

a. Make tables of equivalent ratios relating quantities with whole-number measurements, finding missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.(to be taught C and P)

b. Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (to be taught A)

c. Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. (to be taught P and A).

d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.(to be taught C and P)

e. Understand the concept of Pi as a ratio of the circumference of a circle to its diameter. (to be taught C)

Honors:
MAFS.7.RP.1.3 (6H)
MAFS.7.RP.1.3: Use proportional relationships to solve multi-step ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.

Learning Targets and Learning Criteria

Regular Math
Success Criteria:

I know I am successful when I can:

understand that a ratio is a comparison between quantities.
determine when a ratio is describing part-to-part or part-to-whole comparison.
describe ratio relationships between two quantities using ratio language.
use ratio formats interchangeably (4:5,LaTeX: \frac{4}{5}4 5 , 4 to 5).

Success Criteria:

I know I am successful when I can:

understand rate as a ratio that compares two quantities with different units of measure.
understand that unit rates are the ratio of two measurements or quantities in which the second term means “one” such as 60 miles per one hour.
interpret rate language with the @ symbol or with the words per and/or each.
recognize a ratio written as a unit rate, explain a unit rate, and give an example of a unit rate.
convert a given ratio to a unit rate.
given a ratio, identify the unit rate and the rate unit.
recognize that all ratios associated to a given rate are equivalent because they have the same value.

Success Criteria:

I know I am successful when I can:

create and interpret a table of equivalent ratios.
plot pairs of values from a table to a coordinate plane
use a table to compare ratios and find missing values using ratios.
explain the difference between a ratio and a unit rate.
understand that rate problems compare two different units, such as revolutions per minute or miles per hour.
solve real-world problems using ratios and rates.
reason to determine the better buy.
write a percent as a rate over 100, including percents greater than 100 and less than 1.
find the percent of a number using rate methods.
represent the relationship of part to whole to describe percents using models.
convert units by multiplication or division.
understand and explain that Pi is a ratio of the circumference of a circle to its diameter.
determine whether two ratios are equivalent, based on the description of equivalent ratios, using tape diagrams, double number line diagrams, and/or equivalent ratio tables.
create and complete an equivalent ratio table, tape diagram, and/or double number line diagram to solve problems.
calculate the percent of a given number by using visual representations (e.g., strip diagrams, percent bars, one-hundred grids)
find the whole when given both the part and the percent using tape diagrams, double number line diagrams, and tables of equivalent ratios.

Honors:
Success Criteria:

I know I am successful when I can:

use proportional reasoning to solve real-world ratio problems, including those with multiple steps.
use proportional reasoning to solve real-world percent problems, including those with multiple steps, such as markups, markdowns, commissions, and fees
solve percent problems when one quantity is a certain percent more or less than another.
recall conversion of percent from ratio to decimal to percent form.
solve percent of increase/decrease problems.

Classroom Activities

All plans are subject to change based on Teacher need.

Monday:
Students will log into the session and begin working on bell work with problems for unit rate.

As a whole group we will work on guided notes for the interactive notebook on proportions. We will complete several examples and work on various types and ways to solve proportions. Students will complete practice problems for Unit Rate and Proportions as independent work.
Virtual students that finish the classwork assignment should make sure their Edgenuity work for Equivalent Ratios and Unit Pricing is completed for a formative grade.

Students will complete the bell work for unit rate.
As a whole group we will work on guided notes for the interactive notebook on proportions. We will complete several examples and work on various types and ways to solve proportions. Students will complete practice problems for Unit Rate and Proportions as independent work.

2nd Period: Regular Math
Bell work will be problems involving ratios and writing ratios in 3 different ways.
I will begin the lesson with a quick review of the tri-fold on Ratios that was worked on Thursday last week. We will continue guided notes on ratios with ratio tables. Students will complete practice pages for ratios as independent practice.

4th Honors Math:
Bell work will be 4 problems with percent of a number practice from Thursday and a review.
As a whole group we will do a 2nd day of practice with Percent and practice with the next two types: Finding What percent of a number is another number, and What number is a percent of a number. Directly following the practice whole group students will work to complete independent practice.

Tuesday:
Virtual Zoom: 8:00 Regular Math
Bell work dividing Decimals with problems that involve money.
Students will begin taking guided notes on the Ratios tri-fold. Students will complete practice problems if time permits.
Virtual students that finish the classwork assignment should make sure their Edgenuity work for Equivalent Ratios and Unit Pricing is completed for a formative grade.

Face to Face: 5th and 7th
Bell work dividing Decimals with problems that involve money.
Students will begin taking guided notes on the Ratios tri-fold. Students will complete practice problems if time permits.

Bell work will involve problems for Unit Rate.
Students will get additional practice with Conversions and be able to complete conversions practice problems. Practice problems will come from conversion practice page 8 and as independent work students will complete the Unit Rate Knowledge Check and page 1 on Conversions.

Wednesday: Student Holiday/No School

Thursday:
Students will log into the session and begin working on bell work with problems for unit rate or proprotions.

As a whole group we will work on guided notes for the interactive notebook on ordering ratios and special ratios that compare. We will complete several examples and work on ways to solve special types of ratios. Students will complete practice problems for Unit Rate and Proportions as independent work.
Virtual students that finish the classwork assignment should make sure their Edgenuity work for Equivalent Ratios and Unit Pricing is completed for a formative grade.

Face to Face:
Bell work will be problems for Unit rate.
As a whole group we will work on guided notes for the interactive notebook on ordering ratios and special ratios that compare. As part of the whole group lesson students will also work on problems for distance, using the distance formula “D=rt”. We will complete several examples and work on ways to solve special types of ratios. Students will complete practice problems for Unit Rate and Proportions as independent work.

2nd: Regular Math
Bell work will be problems with ratio tables and equivalent ratios.

As a whole group students will begin guided notes on Unit Rates. Students will also place doodle notes for unit rate into interactive notebook. Students will complete practice problems for unit rate.

4th Honors Math
Students will complete bell work involving problems for proportions with percent as a review of skills.
The lesson for today will begin with guided notes for integers and working with positive and negative numbers and how to recognize the language of integers. Students will take guided notes on integers and complete practice pages.

Friday:
Virtual Zoom: 8:00 Regular Math
Bell work will be problems with ratio tables and equivalent ratios.

As a whole group students will begin guided notes on Unit Rates. Students will complete practice problems for unit rate.

Face To Face: 5th and 7th
Bell work will be problems with ratio tables and equivalent ratios.

As a whole group students will begin guided notes on Unit Rates. Students will also place doodle notes for unit rate into interactive notebook. Students will complete practice problems for unit rate.

Bell work will be problems for unit rate.
As a whole group we will work on guided notes for the interactive notebook on ordering ratios and special ratios that compare. As part of the whole group lesson students will also work on problems for distance, using the distance formula “D=rt”. We will complete several examples and work on ways to solve special types of ratios. Students will complete practice problems for Unit Rate and Proportions as independent work.

Assignments Due

Virtual Students:
Advanced- Edgenuity lessons for Equivalent Ratios and Unit Pricing
Regular- Edgenuity lessons for Integers on Number Line and Absolute Value

Regular math students will complete work on ratios, and unit rate
Advanced math students will complete work for porportions and unit rate
Honors math students will complete work for percent and porportions and understanding integers.