In Saxon Math Course 2, Grade 7 students learn how to write and interpret ratios in multiple forms — including fractions, decimals, and colon notation — and apply ratio relationships to find missing parts or totals. The lesson also introduces sample space as a tool for counting outcomes in probability experiments, connecting probability to the concept of part-total ratios.
Section 1
📘 Ratio and Sample Space
A ratio is a way to describe a relationship between two numbers. Ratios can be written in several forms, including with the word 'to', as a fraction, or with a colon.
This is just the beginning. Next, we will use ratios to solve word problems and create lists of all possible outcomes, called sample spaces.
Section 2
Ratio
A ratio is a way to describe a relationship between two numbers. A ratio like 3 to 4 can be written as or as a fraction, . Ratios are usually reduced to their simplest form but are not expressed as mixed numbers.
Ratios are fantastic for comparing quantities, like the number of wins to losses for your favorite team. They can be written as fractions or with a colon. The trick is to remember the 'secret' third number: the total! If a win-loss ratio is 4 to 3, the total number of games considered in that set is 7. This helps solve many problems.
Section 3
Sample Space
The list of all possible outcomes of a probability experiment is called the sample space. The probability of an event is the ratio of favorable outcomes to total possible outcomes:
Ever wonder what your chances are in a game? A sample space is your secret weapon! It's a complete list of every single possible outcome, like all the results from flipping a coin and spinning a spinner. Once you see all the possibilities laid out in the sample space, finding the probability of a specific event becomes a piece of cake!
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Section 1
📘 Ratio and Sample Space
A ratio is a way to describe a relationship between two numbers. Ratios can be written in several forms, including with the word 'to', as a fraction, or with a colon.
This is just the beginning. Next, we will use ratios to solve word problems and create lists of all possible outcomes, called sample spaces.
Section 2
Ratio
A ratio is a way to describe a relationship between two numbers. A ratio like 3 to 4 can be written as or as a fraction, . Ratios are usually reduced to their simplest form but are not expressed as mixed numbers.
Ratios are fantastic for comparing quantities, like the number of wins to losses for your favorite team. They can be written as fractions or with a colon. The trick is to remember the 'secret' third number: the total! If a win-loss ratio is 4 to 3, the total number of games considered in that set is 7. This helps solve many problems.
Section 3
Sample Space
The list of all possible outcomes of a probability experiment is called the sample space. The probability of an event is the ratio of favorable outcomes to total possible outcomes:
Ever wonder what your chances are in a game? A sample space is your secret weapon! It's a complete list of every single possible outcome, like all the results from flipping a coin and spinning a spinner. Once you see all the possibilities laid out in the sample space, finding the probability of a specific event becomes a piece of cake!
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter