Last updated: 2/13/2023

6th Grade Math Quarter 2

4 Weeks

Ratios and Proportional Relationships

(1) NY-6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
(1) NY-6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems.
(1) NY-6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.

Essential Question: How do we compare quantities in the real world?

 

How does comparing quantities describe the relationship between them?

Ratio Language and Equivalent Rations

Ratio-

Ratio Relationship-

Tape Diagram-

Ratio Table-

Equivalent Ratios-

Value of a Ratio-

Associated Ratios-

Ratio Table-

Additive Structure-

Multiplicative Structure-

Double Number Lines-

Cross Products-

Simplest Form-

Ordered Pair-

Coordinate Plane-

Origin-

 

  1. Use ratio language to describe a ratio relationship between two
    quantities.

  2. Use ratio and rate reasoning to solve real-world and mathematical
    problems.

  3. Make tables of equivalent ratios relating quantities with whole-number
    measurements.

  4. Find missing values in ratio tables.

  5. Plot ratio pairs on the coordinate plane.

  6. Use tables to compare ratios

https://blogs.edutech.nodak.edu/badlandsreadingcouncil/files/2012/03/math-foldables.pdf

 

Thinking Blocks Visual for Ratios: https://www.mathplayground.com/thinkingblocks.html

 

Tape Diagram Problems (Ratios):

https://drive.google.com/file/d/0B-JGHbDQBpQwci1lZmhBLVZZbDA/view?usp=sharing

 

Ratio Stations (Tape Diagrams/Double Number Lines):

https://drive.google.com/file/d/0B-JGHbDQBpQwa0pjRExGTzlaaGc/view?usp=sharing

 

Template for Double Number Line Activity:

https://drive.google.com/file/d/0B-JGHbDQBpQwR3ZxUTZEdGl1bDQ/view?usp=sharing

Ratios and Equivalent Ratios Assessments

 

https://docs.google.com/document/d/1uG33k1ri-IglvKW7OeIpwuUfoxn9LAhepoZ1fviMTRs/edit?usp=sharing

 

https://docs.google.com/document/d/1sfKNhhBia2GaH4VZSdQZnI3qpxbojCxSS44DPNvzJYg/edit?usp=sharing

 

Ratio Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwX3JMQUQ0WDkzYmM/view?usp=sharing

 

Ratio Table, Equations, Graphing Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwcDEtZ0VlUEVuMzQ/view?usp=sharing

 

Topic B Assessment

https://drive.google.com/file/d/0B1OSFxQPcmktSkVNWk5lTk1CT00/view?usp=sharing

 

Topic A Assessment

https://docs.google.com/document/d/1uG33k1ri-IglvKW7OeIpwuUfoxn9LAhepoZ1fviMTRs/edit?usp=sharing

 

Ratio Assessment:

https://betterlesson.com/lesson/resource/1900942/ratio-assessment-1-docx

3.5 weeks

Ratio and Proportional Relationships

(1) NY-6.RP.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship.
(1) NY-6.RP.3b Solve unit rate problems.

Essential Question: How are our lives made easier by using rates/unit rates?

 

How do you find and compare unit rates?

 

How do you use tables, equations, graphs, and verbal descriptions to identify and describe proportional relationships?

Unit Rate

Rate-

Unit Rate-

Unit Price-

Cross Products-

  1. Find the unit rate associated with a ratio.

  2. Solve unit rate problems including those involving unit pricing and
    constant speed.

D=rt foldable

https://drive.google.com/file/d/0B-gVAfBYX60DbHFqQVdZZDVkbm8/view?usp=sharing

Unit Rate Assessment

https://docs.google.com/document/d/1C5dc9vpQbvONUEaaLBjctQHLw2ahrp-PHUZ5Xsf_UcI/edit?usp=sharing

 

Unit Rate, Conversions, d=rt assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwZnJDRVpYbGFMV00/view?usp=sharing

4 weeks (a week and a half will role into the third marking period)

Ratios and Proportional Relationships

(1) NY-6.RP.3c Find a percent of a quantity as a rate per 100. Solve problems that involve finding the whole given a part and the percent, and finding a part of a whole given the percent.
(1) NY-6.RP.3d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.

Essential Question: How is percent related to fractions and decimals and why is it such a useful tool in everyday life?

 

What is percent?

 

How can you compare and convert demicals, fractions and percents?

 

How can you find percent of a quantity?

Percents

Customary Units of Measurement-

Metric Units of Measurement-

Scaling Up-

Scaling Down-

Capacity-

Length-

Mass/Weight-

Distance-

Rate-

Time-

Percent-

Part-

Whole-

Cross Products-

Sale Price-

Discount-

Original Price-

  1. Find a percent of a quantity as a rate per 100.

  2. Solve problems involving finding the whole, given a part and the percent.

  3. Use ratio reasoning to convert measurement units.

Percent Assessment

https://docs.google.com/document/d/1jVKQQ0Sy5IS0U6PR5X5aC6DF2HqELPGUInodYut1GV0/edit?usp=sharing

 

Percent Assessment:

https://drive.google.com/file/d/0B-JGHbDQBpQwS2c4LVdpSVVtTDA/view?usp=sharing

 

 

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