# Week 9: Integers, Ratios, and Proportions Oct. 26 – 30

Bell Work Week 9

DIA 1 study Guide Regular Math  (Regular Math Wednesday)

Unit Rate Practice work (Advanced Math Extra Practice if needed)

Integer Guided Notes (Regular  Math Monday/Tuesday Notes)

Integer Practice work   (Regular Math, pages to complete will be announced)

Ordering Ratios (Honors 4th only Notes Monday)

DIA-1-Study-Guide-Notes  (Regular Math Testing on Thursday/Friday)

Unit Rate Knowledge Check   (Advanced work for Wednesday)

Unit Rate Foldable for Notebook (Advanced Math Thursday/Friday)

Measure The Ratio- will be placed here for Advance on Wednesday’s work

Ratios foldable (Advance- Monday Notebook Printout)

Teacher Nancy Morris Math 6th Week 9: Integers, Ratios, and Proportions Oct. 26 - 30 Reg- Integers Adv- Ratios Hon- Proportions
Standard(s) Taught

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.”

Regular:

# MAFS.6.NS.3.5

Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.

Honors:

MAFS.7.RP.1.2: Recognize and represent proportional relationships between quantities.

a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table, or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.

b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

c. Represent proportional relationships by equations.  For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.

Learning Targets and Learning Criteria

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

Regular:

Success Criteria:

I know I am successful when I can:

• understand that zero represents a position on the number line.
• discover that every negative integer is less than zero.
• understand that the meaning of zero is determined by the real-world context (ex: On a Celsius thermometer, everything below zero is negative, and everything above is positive.)
• represent real-world scenarios such as bank account balances, temperature, and sea level with integers.
• use precise mathematical vocabulary to discuss positive and negative numbers.

Honors:

Success Criteria:

I know I am successful when I can:

a.

• analyze ratios in a table to determine if the ratios are equivalent by finding the constant of proportionality.
• calculate the cross product to determine if the two ratios are in proportion (equivalent).
• graph ratios on a coordinate plane to determine if the ratios are proportional by observing if the graph is a straight line through the origin (y = kx, where k is the slope/constant of proportionality).

b.

• calculate the constant of proportionality/unit rate from a table or diagram.
• calculate the constant of proportionality/unit rate given a verbal description of a proportional relationship.
• compute the rate of change/slope from a graph or equation (k in y=kx).

c.

• solve equations created from proportional relationships
• write an equation from a proportional relationship

d.

• calculate the unit rate by identifying that on a graph when the x-coordinate is 1, the y-coordinate is the unit rate.
• define the rate of proportionality from a graph.
• explain that the y-coordinate divided by the x-coordinate for every point other than the origin equals the constant of proportionality
• explain the meaning of a point on a graph y=kx of a real life situation
Classroom Activities

Lesson Plan Oct. 26-30 All plans are subject to change based on teacher need.
Monday- Oct 26
Virtual: zoom 8:00
Bell Work: Students will enter the zoom session and begin the bell work problems for the day. Students will practice the skill of dividing decimals.
Virtual Advanced Students will use their interactive notebook and complete the guided notes on Ratios and equivalent Ratios with tables . Students will need to go to classroom connect and print the note pages prior to the lesson. The notes students will need to print are the guided notes on Ratios. Directly following the lesson students will work on the practice page titled “What is a Ratio”.
Face to Face:
Bell work: Students will enter the room and begin to work on bell work. We will be reviewing the skill of dividing decimals.
Advanced Math Students (1st) will use their interactive notebook and complete the guided notes on Ratios and equivalent ratios with tables. Directly following the lesson students will work on the practice page titled “What is a Ratio”.
Regular Math (2nd) Students will use their interactive notebooks and complete the guided notes on Integers. Topic will include “absolute value, positive/negative numbers, additive inverse”. Students will work with number lines and be able to identify the different types (horizontal and vertical). Students will glue several different items into their notebooks. Special examples will be covered and added to guided notes that students will need to study for the DIA on Thursday/Friday.
Honors Math (4th) Students will take notes in their interactive notebook on proportions and how to identify if they are equivalent. In addition to proportions we will work on ratios that compare and ordering ratios. We will also work with cross multiplication. Students will complete the Unit Rate papers after the lesson. I will also introduce the Unit Rate Project to students and give them the hand out for the project.

Tuesday:
Virtual: zoom 8:00
Bell Work: Students will enter the zoom session and begin the bell work problems for the day. Students will practice the skill of dividing decimals.
Virtual Reg. Math Students will use their interactive notebooks and complete the guided notes on Integers. Students will need to go to classroom connect and print the guided notes for the lesson prior to the beginning of note taking. Students will need to print the guided notes for Integers. Topic will include “absolute value, positive/negative numbers, additive inverse”. Students will work with number lines and be able to identify the different types (horizontal and vertical). Students will glue several different items into their notebooks.

Face to Face:
Bell work: Students will enter the room and begin to work on bell work. We will be reviewing the skill of dividing decimals.
Advanced Math Students (8th) will use their interactive notebook and complete the guided notes on Ratios. Directly following the lesson students will work on the practice page titled “What is a Ratio”.
Regular Math (5th, 7th) Students will use their interactive notebooks and complete the guided notes on Integers. Topic will include “absolute value, positive/negative numbers, additive inverse”. Students will work with number lines and be able to identify the different types (horizontal and vertical). Students will glue several different items into their notebooks.

Wednesday-
Virtual zoom: Advanced 8:00, Regular 11:40
Students will enter the session and begin bell work.
Advanced bell work: Work with Ratio
Regular Bell work: Work with Integers
Students will work ratios. A lesson will be given on conversions when using ratios and as a whole group we will work on several of the examples. Students will then complete the rest of the paper independently to practice the skill.
Regular Virtual 11:40
Students will participate in a review of integer topic from last lesson and I will do a review on content that will be covered on the DIA during this lesson.

Face to Face Students:
Students will work ratios. A lesson will be given on conversions when using ratios and as a whole group we will work on several of the examples. Students will then complete the rest of the paper independently to practice the skill.
2nd, 5th,7th – Regular
Students will participate in a review of integer topic from last lesson and I will do a review on content that will be covered on the DIA during this lesson.
4th- Honors
Students will work on the Unit Rate activity using sell papers and identify the unit cost of items in local grocery stores.

Thursday
Bell work: to be announced
I will begin to introduce unit rate and we will complete guided notes on unit rate. Students will then work on paper for unit rate practice.
Face to Face Students 1st – 4th
Bell work: to be announced
I will begin to introduce unit rate and we will complete guided notes on unit rate. Students will then work on paper for unit rate practice.
2nd- Regular Math
Students will begin work on DIA 1 for entire class period.
4th- Honors Math
Test on Ratios, unit rate, unit cost, and proportions. (this grade will be entered into next nine weeks)

Friday:

Virtual zoom: 8:00 (Regular Math)
Bell work: to be announced, I may wave bell work and just begin testing for extended time.
Students will begin work on DIA 1 for entire class period.

Face to Face Students 5th – 8th
Bell work:(regular math only) to be announce, bell work maybe waved to begin testing for extended time.
Bell work: 8th Advanced will work with unit rate and ratios
8th – I will begin to introduce unit rate and we will complete guided notes on unit rate. Students will then work on paper for unit rate practice.
5th, 7th – Regular Math
Students will begin work on DIA 1 for entire class period.

Assignments Due

Please pay close attention to the description on the documents for printing. Make sure that you only print the documents that will be needed for your section of math.

DIA 1- will be given to Regular Math students on Thursday/Friday  (review will be held on Wednesday)

FACE TO FACE: