6th Grade Math Unit 4

Big Idea:

Find equivalent ratios and unit rates.

Student Expectations:

Priority TEKS

6.4(B) apply qualitative and quantitative reasoning to solve prediction and comparison of real-world problems involving ratios and rates.

6.5(A) represent mathematical and real-world problems involving ratios and rates using scale factors, tables, graphs, and proportions;

6.5(B) solve real-world problems to find the whole given a part and the percent, to find the part given the whole and the percent, and to find the percent given the part and the whole, including the use of concrete and pictorial models;

6.5(C) use equivalent fractions, decimals, and percents to show equal parts of the same whole.

Focus TEKS

6.4(C) give examples of ratios as multiplicative comparisons of two quantities describing the same attribute;

6.4(D) give examples of rates as the comparison by division of two quantities having different attributes, including rates as quotients

6.4(E) represent ratios and percents with concrete models, fractions, and decimals;

6.4(F) represent benchmark fractions and percents such as 1%, 10%, 25%, 33 1/3%, and multiples of these values using 10 by 10 grids, strip diagrams, number lines, and numbers;

6.4(G) generate equivalent forms of fractions, decimals, and percents using real-world problems, including problems that involve money; and

Student Learning Targets:

• I will generate equivalent representations of fractions, decimals and percents
• I will gain automaticity with benchmark fractions and percents
• I will solve for the part, whole and percent of a number
• I will write a real-world problem using percents
• I will generate ratios and rates from real world situations
• I will calculate unit rate.
• I will make comparisons using ratios and rates
• I will generate and identify equivalent ratios
• I will write a real-world problem that could be solved using proportions
• I will use proportions to generate equivalent ratios
• I will use proportions to make predictions
• I will differentiate between additive and multiplicative relationships
• I will use proportions to convert measurements within a system
• I will write a real-world problem that could be solved using proportions

Essential Questions:

• How can you use ratios and rates to solve real-world problems?
• How do you use ratios and rates to compare two quantities?
• How do you represent, describe, and compare additive and multiplicative relationships?
• How can you represent real-world problems involving ratios and rates with tables and graphs?
• How can you solve problems with proportions?
• How do you convert units within a measurement system?
• How can you use percents to solve real-world problems?
• How can you write a ratio as a percent?
• How can you write equivalent percents, fractions, and decimals?

Extra Information:

Adopted Textbook: Houghton Mifflin Harcourt - GO Math!

District Grading Policy

Texas Gateway Online Resource Center