In this Grade 7 Saxon Math Course 2 lesson, students learn to solve multi-step problems involving a fraction of a group by using rectangle diagrams divided into equal parts. They practice finding fractional parts of a whole number, such as determining how many students out of a class wore sneakers or how many pages of a book were read, and also work with converting percents to fractions before solving. The lesson builds on prior knowledge of equal groups and parts of a whole to tackle real-world problems requiring two or more steps.
Section 1
📘 Problems About a Fraction of a Group
This lesson introduces problems that involve finding a fractional part of a whole group, often requiring two or more steps to solve.
Two thirds of the students in the class wore sneakers on Monday.
This is just the foundation for analyzing groups. Next, you'll use visual diagrams to solve worked examples and tackle challenge problems involving both fractions and percents.
Section 2
Finding a fraction of a group
To find a fraction of a total amount, you first divide the total into a number of equal parts given by the denominator. Then, you multiply that result by the numerator to find the value of the fractional part you're looking for.
Think of it as sharing a big bag of candy! The denominator tells you how many friends to share with, splitting the candy into equal piles. The numerator tells you how many of those piles belong to you. This method makes dividing anything super simple and visual.
Section 3
Changing percents to fractions
To convert a percent to a fraction, write the percent's value as the numerator over a denominator of 100. Then, simplify the fraction to its lowest terms. So, .
Percentages are just fractions wearing a fancy costume! The word 'percent' is Latin for 'per hundred.' So, to reveal a percent's true identity, you just place it over 100 and simplify. It's a quick change act for numbers, turning something like 80% into a simpler form like .
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Section 1
📘 Problems About a Fraction of a Group
This lesson introduces problems that involve finding a fractional part of a whole group, often requiring two or more steps to solve.
Two thirds of the students in the class wore sneakers on Monday.
This is just the foundation for analyzing groups. Next, you'll use visual diagrams to solve worked examples and tackle challenge problems involving both fractions and percents.
Section 2
Finding a fraction of a group
To find a fraction of a total amount, you first divide the total into a number of equal parts given by the denominator. Then, you multiply that result by the numerator to find the value of the fractional part you're looking for.
Think of it as sharing a big bag of candy! The denominator tells you how many friends to share with, splitting the candy into equal piles. The numerator tells you how many of those piles belong to you. This method makes dividing anything super simple and visual.
Section 3
Changing percents to fractions
To convert a percent to a fraction, write the percent's value as the numerator over a denominator of 100. Then, simplify the fraction to its lowest terms. So, .
Percentages are just fractions wearing a fancy costume! The word 'percent' is Latin for 'per hundred.' So, to reveal a percent's true identity, you just place it over 100 and simplify. It's a quick change act for numbers, turning something like 80% into a simpler form like .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter