Embedded Files
6th GRADE TEACHERS:
6th GRADE TEACHERS:
Ms. Lockley
- alockley@bostonpublicschools.org
- Office Hours: Tuesday 2:30-3:30
Ms. Griggs
- egriggs@bostonpublicschools.org
- Office Hours: Monday 2:30-3:30
Ms. Oyewole
- koyewole@bostonpublicschools.org
- Office Hours: Thursday 2:30- 3:30
Ms. Daniels
- adaniels3@bostonpublicschools.org
- Office Hours: By appointment
RESOURCES:
RESOURCES:
Family Resources for Unit 3: Unit Rates and Percentages
Khan Academy Finding a Percentage Lesson and Practice Problems
Khan Academy Rates and Unit Rates Tutorial and Practice Problems
WHAT ARE WE WORKING ON IN MATH NOW?
WHAT ARE WE WORKING ON IN MATH NOW?
Unit 3: Unit Rates and Percentages
Unit 3: Unit Rates and Percentages
- In this unit, students learn to understand and use the terms “unit rate,” “speed,” “pace,” “percent,” and “percentage,” and recognize that equivalent ratios have equal unit rates.
- They represent percentages with tables, tape diagrams, and double number line diagrams, and as expressions.
- They use these terms and representations in reasoning about real-world situations involving unit price, constant speed, and measurement conversion.
Sample Tasks:
- Which units of measurement measure distance, volume, or weight (mass)? Which unit of measurement best represents an object? Ex. What unit of measurement should I use if I want to know the length of a pencil?
- How can I use unit rates to convert between different unit of measure?
- How can I use unit rates to determine the best price of an item?
- How can I use unit rates to measure speed and determine who is faster?
- What strategies can I use to calculate the percent of a quantity?
EXAMPLES OF PERCENTAGE REPRESENTATIONS EXPLORED THROUGHOUT UNIT
EXAMPLES OF PERCENTAGE REPRESENTATIONS EXPLORED THROUGHOUT UNIT
DOUBLE NUMBER LINES:
TABLES
TAPE DIAGRAMS
What common core standards are aligned to this unit?
- 6.RP.A- Understand ratio concepts and use ratio reasoning to solve problems.
- 6.RP.A.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 15hamburgers, which is a rate of $5per hamburger.”Expectations for unit rates in this grade are limited to non-complex fractions.
- 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.
- 6.RP.A.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 ratio
- 6.RP.A.3b- 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?
- 6.RP.A.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.
- 6.RP.A.3.d- Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
*Unit Description taken and adopted from Illustrative Mathematics Curriculum
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