By the end of this course, students should be able to:
- Write a sentence that describes a ratio.
- Know how to say words and numbers in a correct order to accurately describe the ratio.
- Understand and define the word “percentage.”
- Create a double number line to represent a percentage.
- Use and interpret tape diagrams and percentage tables.
- Understand that the term “unit rate” refers to a rate per 1.
- Complete a ratio table and identify the pattern (multiplier).
- Use ratios and percentages to solve real-world problems
New Generation Standards
1) Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
2) Understand the concept of a unit rate a/b associated with a ratio a:b with b≠ 0 (b not equal to zero), and use rate language in the context of a ratio relationship.
3) Use ratio and rate reasoning to solve real-world and mathematical problems (a-c)
- Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables
- Solve unit rate problems.
- Find a percent of a quantity as a rate per 100. Solve problems that involve finding the whole given a part and the percent, and finding a part of a whole given the percent.
How can we maximize a scarce plot of land to create a profitable small business?
The project spans over eight different lessons and activities. During the course, students will be introduced to the concept of ratios, percentages and how they can use this knowledge to solve problems in the world around them. They will complete various quests, explore, build, and record what they learn in their learning journal. At the end of the project they will work together in teams to build a successful business. They must conduct research via experimentation, log the data in a document, interpret the data and use it to make inferences and plan how they will plant their crops. They will have the opportunity to reflect and revise their work as they go, and will be able to realize their hard work in real-time as they use their earned supplies to build a store.
By the end of the course, students should understand the basics of percentages and ratios, and be able to apply what they know to problems in their own lives.
Students use 21st century skills such as:
- Critical thinking: Interpretation & Analysis, Reasoning, Constructing Arguments, and Problem Solving.
- Collaboration: Cooperation, Responsibility & Productivity, Collaborate Using Digital Media.
- Communication: Effective Listening, Delivering Oral Presentations.
- Creativity: Idea Generation, Design & Refinement, Openness and Courage to Explore, Work Creatively with Others, Creative Production & Innovation.