In this Grade 6 Saxon Math Course 1 lesson, students learn how to locate and identify fractions and mixed numbers on a number line by recognizing that the spaces between integers can be divided into equal segments such as halves, thirds, fourths, and fifths. Students practice reading points on a number line by counting equal divisions between consecutive integers to determine the corresponding fraction or mixed number, including negative values like negative one and a half. The lesson is part of Chapter 2 and builds on students' understanding of integers to extend number line representation to non-whole numbers.
Section 1
📘 The Number Line: Fractions and Mixed Numbers
A mixed number represents a quantity that combines a whole number and a fractional part.
A mixed number is a whole number plus a fraction.
Soon, you'll master identifying these values on number lines and rulers. This lesson provides worked examples to build your foundational skills for more complex problems.
Section 2
Mixed numbers on the number line
A mixed number is a whole number plus a fraction.
Point B is between 3 and 4. The space is cut into 7 parts. B is on the 2nd mark. So, it's .
What number is halfway between 8 and 9? That’s simply .
A point at the fourth mark between -1 and -2 in a section divided into five segments is .
Ever wonder what's between 2 and 3 on a ruler? It's not just blank space! A number line is packed with fractions and mixed numbers. To find a point's value, first spot the whole number it's past, then count the total segments in that section and how many segments you've moved.
Section 3
Measuring with a ruler
To find a length, align the zero mark with one end and find the mark on the ruler closest to the other end.
A line segment ends nearest to the 5th small mark after 3 inches on a ruler divided into sixteenths. Its length is inches.
Which mark is halfway between the -inch mark and the -inch mark? It's the -inch mark.
A segment that is of an inch long is of an inch long.
Your ruler is just a folded-up number line! To measure tiny lengths accurately, you need to use all those little fraction marks. The smallest ones, often sixteenths, help you get the most precise measurement instead of just guessing. It's all about finding which mark the object's end is closest to.
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Section 1
📘 The Number Line: Fractions and Mixed Numbers
A mixed number represents a quantity that combines a whole number and a fractional part.
A mixed number is a whole number plus a fraction.
Soon, you'll master identifying these values on number lines and rulers. This lesson provides worked examples to build your foundational skills for more complex problems.
Section 2
Mixed numbers on the number line
A mixed number is a whole number plus a fraction.
Point B is between 3 and 4. The space is cut into 7 parts. B is on the 2nd mark. So, it's .
What number is halfway between 8 and 9? That’s simply .
A point at the fourth mark between -1 and -2 in a section divided into five segments is .
Ever wonder what's between 2 and 3 on a ruler? It's not just blank space! A number line is packed with fractions and mixed numbers. To find a point's value, first spot the whole number it's past, then count the total segments in that section and how many segments you've moved.
Section 3
Measuring with a ruler
To find a length, align the zero mark with one end and find the mark on the ruler closest to the other end.
A line segment ends nearest to the 5th small mark after 3 inches on a ruler divided into sixteenths. Its length is inches.
Which mark is halfway between the -inch mark and the -inch mark? It's the -inch mark.
A segment that is of an inch long is of an inch long.
Your ruler is just a folded-up number line! To measure tiny lengths accurately, you need to use all those little fraction marks. The smallest ones, often sixteenths, help you get the most precise measurement instead of just guessing. It's all about finding which mark the object's end is closest to.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter