Name_____________________________________



6th Grade Extension Menu

Name______________________________

Date________________ Section ________

Concept and/or Topic: Ratios and Proportional Relationships

Choose a learning activity from one square to complete. If you choose the square, “Write your idea here,” please see the teacher with your idea first.

Circle the number of the learning activity you choose.

Turn in this paper with your work.

|1. Select 3 stocks and track them for 5 days. |2. The formula for compounding interest is: [pic],|3. Bill sells HDTV’s at TVLand. He earns 2½% |

|Calculate the percent of increase and/or decrease |where FV is future value, P is principal, r is |commission on each TV sold. He also has a base |

|for each stock from Day 1 to Day 5. Calculate the |rate, and n is time. Compute and compare the |salary of $5,000 a month. Bill would like to earn |

|net profit/loss you would have over the same 5 days|difference between simple and compound interest for|$6,200 this month. Calculate the total amount of |

|if you had bought 100 shares of each stock. |each example below: |TV sales Bill would need to reach his goal. |

| | |Estimate how many HDTV’s Bill would need to sell |

| | |based on your calculations. |

| |P | |

| | | |

| |R | |

| | | |

| |T (yrs.) | |

| | | |

| |1. | |

| |$500 | |

| |5% | |

| |3 | |

| | | |

| |2. | |

| |$280 | |

| |6.5% | |

| |2 | |

| | | |

| |3. | |

| |$1100 | |

| |7[pic]% | |

| |4 ½ | |

| | | |

| | | |

| |Explain any trends you see when comparing the types| |

| |of interest. | |

|4. Design a poster that explains how to calculate |5. Compare the cost of 5 name brand grocery items |6. Write your idea here. |

|unit rate. Use at least 5 real life examples. (Do|to their respective generic brands. Calculate the |___________________ |

|not make all examples about food.) |unit price for each item, the percent of savings, |___________________ |

| |and the average savings of buying generic brands |___________________ |

| |verses name brand items. Analyze your data and |___________________ |

| |conclude the benefits of buying name brand verses |___________________ |

| |generic grocery items. Justify your conclusion in |___________________ |

| |writing. |___________________ |

| | |___________________ |

Teacher Resource Page

6th Grade Extension Menu

Concept and/or Topic: Unit Rates, Percent Applications

Intended Purpose: Culminating activity for the unit or alternative activity for students who have mastered curricular indicators

CCSS Math Content Grade 6

Understand ratio concepts and use ratio reasoning to solve problems.

• CCSS.Math.Content.6.RP.A.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b is not equal to 0, and use rate language in the context of a ratio relationship.

• CCSS.Math.Content.6.RP.A.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.

o CCSS.Math.Content.6.RP.A.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.

o CCSS.Math.Content.6.RP.A.3b Solve unit rate problems including those involving unit pricing and constant speed.

o CCSS.Math.Content.6.RP.A.3c 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.

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