Week 10: Ratios, Proportions & Percent Nov.2 – Nov. 6

Regular Math:

MAFS.6.NS.3.6ac: Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

a. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3)=3.

Advanced Math:

MAFS.6.RP.1.3 (6 Adv)
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 Math:

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.

Regular Math:

Success Criteria

I know I am successful when I can:

a.

understand the meaning of the term opposites and plot opposites on a number line.
reason that the opposite of the opposite of the number is the number itself, e.g., –(–7)= 7 and that 0 is its own opposite.
describe quantities having opposite values
c.

use vertical and horizontal number lines to show integers and other rational numbers.

Advanced Math:
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 Math:

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.

All lessons are subject to change based on teacher need. 

Monday: 1st – 4th, Virtual Advanced

Virtual zoom: 8:00
Students will enter the session and begin bell work for unit rate. Students will solve problems involving unit rate.

Virtual students will work on Edgenuity lessons Equivalent Ratios and Unit Rate.

Face to Face:
1st/4th Periods: Students will work on Math Nation workbook to complete the lessons for Intro to Unit rate. Advanced students will work in Volume 1 Unit 2 Sections 1,2,4,5. Students will complete the workbook using their tablet and following along with the lesson that is being modeled for them by Math Nation. This completed assignment will be due for grade November 20th

2nd Period: Students will work on Math Nation workbook to complete the lessons for Unit 7 Rational Numbers, Sections 1, 2, 3, 6, 7. Students will complete the workbook using their tablet and following along with the lesson that is being modeled for them by Math Nation. This completed assignment will be due for grade November 20th

Tuesday: Teacher Duty Day/Student Holiday

Wednesday: All Classes
Virtual Advanced: zoom 8:00
Students will enter session and begin bell work for Unit Rate.

Students will take guided notes on unit rate conversion with the conversion chart. We will work on guided notes that go in the student notebook. As a whole group we will work to complete #1-15 odd problems together using the conversions chart to change units. Students will work independently to complete the even problems to be turned in.
Virtual Regular: zoom 11:40
Students will complete bell work of integers and absolute value.

Virtual- Virtual student will work on their Edgenuity assignments after we go over bell work. Edgenuity assignments on Absolute Value. 

2nd Period Only: The lesson that will be given is on comparing integers using >,,<.=. Another part of the lesson will include number lines as coordinate planes and work with the opposite of the opposite -(-3). Students will work on worksheets for integers.

5th, 7th, 8th- Students will be introduced the the Math Nation lessons. Students will use their math nation workbooks to follow the lessons for their content. Students will be assigned particular lessons that will need to be completed for November. The due date for completion of these lessons will be November 20th. 

4th Honors:
Students will complete bell work for practice with proportions.

The lesson for today will be on percent and proportions. Students will work with the guided notes in their interactive notebook. Topics that will be covered in this lesson are: Finding a Percent, Find Percent of a Number, What percent of the number.

Thursday: 1st – 4th, Virtual Advanced

Virtual zoom at 8:00
Students will complete problems for unit rate and better buy.

Students will use their interactive notebooks and complete guided notes during the lesson. Lesson will cover content with proportions and how to set up a proportion and solve a proportion. Students will also work to determine if a set of ratios form a proportion. Students will complete practice problems for unit rate and proportions. Students will also need to continue work on Edgenuity Lessons for equivalent ratios and Unit rate.

Face to Face:
1st Period:

Students will complete problems for unit rate and better buy.

Students will use their interactive notebooks and complete guided notes during the lesson. Lesson will cover content with proportions and how to set up a proportion and solve a proportion. Students will also work to determine if a set of ratios form a proportion. Students will complete practice problems for unit rate and proportions. Students will also need to continue work on Edgenuity Lessons for equivalent ratios and Unit rate.
2nd Period:
Summative test on Integers and Absolute Value

4th Honors:
Students will work to complete work on Proportions with Percent as practice of the skill and finish any incomplete classwork.

Friday:
Virtual Regular: zoom 8:00

Bell work on integers.

Students will take a summative on integers and Absolute Value. Any student finishing early will be able to continue to work on their Edgenuity work for the week: Absolute Value.

Face to Face: 5th, 7th

Bell work on integers

Before beginning the Summative face to face students will be shown the Math Nation Workbook and how to navigate the lessons they will be assigned. The Unit 7 lesson 1,2,3,6,7 will be due November 20 for a formative grade. 
Students will take a summative on integers and Absolute Value.

8th Period:

Students will complete problems for unit rate and better buy as bell work.

I will show students how to use the Math Nation Workbook and we will do a couple of the problems together. Students will work on Math Nation workbook to complete the lessons for Intro to Unit rate. Advanced students will work in Volume 1 Unit 2 Sections 1,2,4,5. Students will complete the workbook using their tablet and following along with the lesson that is being modeled for them by Math Nation. This completed assignment will be due for grade November 20th

Students will use their interactive notebooks and complete guided notes during the lesson. Lesson will cover content with proportions and how to set up a proportion and solve a proportion. Students will also work to determine if a set of ratios form a proportion.

Virtual Advanced:
Edguenuity lessons for Equivalent Ratios and Unit Rate

Virtual Regular:
Edgenuity lessons for Absolute Value.

Regular Math Students will take a Summative on Thursday/Friday on Integers and Absolute Value

MATH NATION: FACE TO FACE STUDENTS ONLY lessons due complete November 20th