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6.1
Represent relationships between quantities using ratios, and use appropriate notations, such as , a/b, a to b, and a:b.
What is a Ratio?
What is a Ratio?
Math Antics Ratios and Rates
Math Antics Ratios and Rates
Order Matters!
Order Matters!
Part-to-Part Part-to-Whole Whole-to-Part
Part-to-Part Part-to-Whole Whole-to-Part
Linking Cubes
Directions: Use two differen colors of the linking cubes to create a ratio. Grow your ratio by adding the same amout of those two colors. For example, if I use 3 green and 2 yellow, I would add 3 more green and 2 more yellow.
6.12
a) Represent a proportional relationship between two quantities, including those arising from practical situations.
What is a proportional relationship?
What is a proportional relationship?
IXL Practice (R) 19 Identify Proportional Relationships from Tables
b) determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table.
Proportional Relationship: Ratio Table Example
Big Ben's neighbor pays him $17 for every 2 hours he works. Ben works for 8 hours on Saturday.
A ratio table represents the proportional relationship:
1) How much does Ben earn per hour?
Answer: Ben earns $8.50 per hour
2) How much will Ben earn in 8 hours?
Answer: He will earn $68.00 in 8 hours.
c) determine whether a proportional relationship exists between two quantities
IXL Practice (R) 16 Do the ratios form a proportion?
I can simplify to find out if the two ratios form a proportion.
5/10 simplifies to 1/5
2/4 simplifies to 1/2
The two ratios do not form a proportion because they are not equivalent ratios.
I can use cross multiplication to find out if the two ratios form a proportion.
9 x 2 = 18
1 x 18 = 18
The two ratios form a proportion because you get the same number on both sides.
I can use division to find out if the two ratios form a proportion.
4 divided by 2 is 2
10 divided by 5 is 2
The two ratios form a proportion because you get the same number when you divide.
d) make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.
Practice
Practice
Flocabulary Ratios, Rates, Proportional Relationships
Experiments
Experiments
Class Discussion: Why do we learn about ratios?
to make sense of the world around us
to have intelligent conversations about sports by making comparisons to support our claims
to spend money wisely, getting the best deal
to arrive on time by calculating miles per hour
to keep our fish alive by using the suggested gallons of water per fish
giving the correct amount of medication for the weight your pet
drawing a scale model using proportions
to solve problems like Nana's Chocolate Milk
to reduce or increase a recipe
Unit 01: Ratios and Proportions
Key Vocabulary
Fraction - a fraction represents part of a whole number.
Ratio - a comparison of two or more quantities. Ratios can be written three different ways.
Rates - a special type of ratio that compares numbers that have different units. A rate could compare distance to time.
Unit Rates - a special type of rate that compares two different units, but the second number of the comparison is the number one.
Proportion - an equation that states that two ratios are equal. This is also thought of as equivalent ratios.
Proportional tables - ratio tables are proportional when the Y values divided by the X values provide a constant rate of proportionality.
Proportional graphs - plotted points are considered proportional when they are aligned in a straight line that passes through the origin.
Scale Drawing - a drawing that is proportional to the life-size object. Drawling an object to scale is to reduce or enlarge every dimension of the object.
SOL Standards
SOL Standards
Number and Number Sense
Number and Number Sense
6.1
The student will:
represent relationships between quantities using ratios, and will use appropriate notations, such as , a to b, and a:b.
Patterns, Functions, and Algebra
Patterns, Functions, and Algebra
6.12
The student will:
a) represent a proportional relationship between two quantities, including those arising from practical situations;
b) determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table;
c) determine whether a proportional relationship exists between two quantities; and
d) make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.
Study Guides
Study Guides
SOL 6.1 Study Guide.pdfSOL 6.12 Study Guide.pdfGoogle Sites
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