Unit 4 Percents , Proportions, Rates & Ratios Grade 6

Prerequisites

5.N.11 Understand that percent means part of one hundred and write percents as fractions and decimals

5.N.6 Understand Concepts of Ratios

5.N.7 Express Ratios in Different Forms

NYS Content Standards

6.N.6 Understand the Concept of Rate

6.N.7 Express Equivalent Ratios as Proportions

6.N.8 Distinguish the Difference between Ratio and Rate

6.N.9 Solve Proportions using Equivalent Fractions

6.N.10 Verify the Proportionality using the Product of the Means Equals the Product of the Extremes (cross products)

6.N.11 Read, write, and identify percents of a whole (0% to 100%)

6.N.12 Solve Percent Problems involving Percent, Rate and base (part, whole, percent)

6.N.21 Find multiple representations of rational numbers (fractions, decimals, and percents 0 to 100)

6.N.26 Estimate a percent of quantity (0% to 100%)

6.N.27 Justify the reasonableness of answers using estimation (including rounding)

6.A.5 Solve Simple Proportions within Context

*Review measurement in fraction unit

 

KNOW

UNDERSTAND

DO

percent

Rate

ratio

proportion/proportionality

equivalence

cross-products

 

* Equivalent forms of FDP exist

* Between every two whole numbers there exists an infinite # of fdp

* The decimal and percent systems are based on the number 10

* Different forms (FDP) are more appropriate in particular situations

* Understand the concept of rate

* Understand the concept of ratio

* Understand the relationship/difference between rate and ratio

* Percent problems can be solved using part, whole and/or percent

* Ratio can be a comparison of part-to-part or part-to-whole.

* Read, write, and identify percent

* Change fraction, decimal, percents to their equivalent forms

* Estimate a percent of a quantity

* Justify reasonableness of an answer using estimation

* Express equivalent ratios as a proportion

* Distinguish between ratio and rate

* Solve proportions using equivalent fractions

* Use cross-products to verify proportionality

* Solve simple proportions within context

* Solve percent problems using part, whole and/or percent

* Express ratios in different and appropriate form

* Calculate "per unit" rate

 

Percents, Proportions, Rates & Ratios Grade 6

Timeline

Estimated Time Allotted Enrichment Suggestions

Percents

Day 1- Percents (as equivalent fractions) =

Day 2- Percents (using decimals or proportions) Bits and Pieces investigation 4, E 10-6, Quiz

Day 3- Percent (part, whole, percent NOT base, rate, and percent)

Day 4- Percent continued Your Weight on Mars, Popcorn Pizzazz, More %,

Skillsheet on moving between Fractions, decimals, %

Day 5- Proportions (not focused on percents) E 10-2

Using: Compatible #s

Cross products

Division

Day 6- Word problems involving proportions E 10-3

Day 7- Intro to ratios E 10-1, The Shadow Knows, Scale Drawings

Day 8- Intro to rates

Compare differences between ratio and rate Reading Rates, Time Trials

Day 9- Per unit Unit Pricing

Day 10- Review Alphabits, E 10-7, Architects in Action

Day 11-Test

OVERALL: Skittles

 

 

 

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