All Lessons

L.6.5.A Interpret figures of speech (e.g., personification) in context.

6(9)(D) Describe how the author's use of figurative language such as metaphor and personification achieves specific purposes.

L.6.3.A Vary sentence patterns for meaning, reader/listener interest, and style.*

6(10)(D)(vi) Edit drafts using standard English conventions, including subordinating conjunctions to form complex sentences and correlative conjunctions such as either/or and neither/nor.

L.6.1 Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

L.6.3.A Vary sentence patterns for meaning, reader/listener interest, and style.*

6(10)(D)(vii) Edit drafts using standard English conventions, including capitalization of proper nouns, including abbreviations, initials, acronyms, and organizations.

6(2)(C) Determine the meaning and usage of grade-level academic English words derived from Greek and Latin roots such as mis/mit, bene, man, vac, scrib/script, and jur/jus.

L.6.1 Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.

(B) Calculate unit rates from rates in mathematical and real-world problems

(Y8) Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

6.RP.2 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."

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

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

(Y8) Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

6.RP.3 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.

6.RP.3.A 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.

(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

(Y6) Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132)

6.RP.3 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.

6.RP.3.A 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.

6.RP.3.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.

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

(Y6) Make connections between equivalent fractions, decimals and percentages (ACMNA131)

6.RP.3.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.

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

(Y8) Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

6.RP.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."

6.RP.3 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.

6.RP.3.A 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.

6.RP.3.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?

(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

(Y8) Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)

6.RP.3.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.

(A) Add and subtract whole numbers and decimals to the hundredths place using the standard algorithm

(Y6) Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

6.NS.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.