Unit Plan 4 Ratios, Proportions and Percents
Grade: 6 | Content Area: Math | Course Name: MN Standards Based Flexbook |
Unit: 4 | Description of Course: During this unit students will be able to solve problems using rates and ratios. Student will also be able to determine unit rate and scales/proportions. Students will convert fractions to decimals to percents and vice versa. Students will be able to determine percents of numbers. | Approximate Time Needed: 10-13 days |
Learning Targets | Assessments | Instructional Considerations | Instructional Approach | Resources |
4.1 I can show that percent means out of 100 by writing it in decimal, ratio or fraction form. 4.2 I can convert between equivalent representations of positive rational numbers as fractions, mixed numbers, percents, and decimals 4.3 I can identify and use ratios to compare quantities and understand that comparing quantities using ratios is not the same as using subtraction. 4.4 I can identify and apply the relationships between ratios, equivalent fractions, and percents to solve problems in various contexts. 4.5 I can find unit rate of various quantities and use unit rate to determine ratios 4.6 I can use reasoning about multiplication and division to solve ratio and rate problems MN Standards 6.1.1.2 6.1.1.3 6.1.1.7 6.1.2.1 6.1.2.2 6.1.2.3 6.1.2.4 | Pre-Assessments: Formative Assessments: Benchmark Assessment: | Student Background Knowledge: Students must have a basic understand of what fractions, mixed numbers, and improper fractions are. Students must have an understanding of multiplying fractions. Students must have an understanding of equivalent fractions. Essential Questions: How are rates and unit rates the same and how are they different? How are ratios and rates the same and how are they different? How are proportions and ratios same the same and how are they different? Academic Language: Ratio Equivalent | Cross-Content Integration: | Web Resources: Video links posted on lesson plans Research: Technology Resources: Internet enabled device Calculators Community Resources: |
Ratio - a comparison of two quantities.
Equivalent - means two things are equal.
Rate - a special ratio that represents an amount in terms of a single unit of time or some other quantity.
Unit Rate - a rate written that compares a quantity to one.
Proportion - two equivalent ratios.
Cross Product - when you multiply the numerator of one ratio with the denominator of another.
Scale Drawing - a drawing that is used to represent an object that is too large to be drawn in its actual dimensions.
Scale Factor - is another name for a scale ratio.
Scale - a fraction that shows the relationship between the measurement in a drawing and the measurement of a real object.
Percent - a part of a whole number.
Circle Graph - a visual way of displaying data that is written in percents.
Discount - a discount is an amount of money that is taken off of the original price.
Sale tax - an amount that is added to the original price.
Gratuity or tip - a percent of the cost of the meal or service that is added onto the bill.
Interest or rate- a percent of the principal for each period of time.
Principal - the original amount of money, either for deposit or for borrowing.
Per -means for each, or for every; often used with units to express a rate. Example: If apples cost $1.99 per pound, then each pound of apples costs $1.99.