Learn on PengiSaxon Math, Course 1Chapter 1: Number, Operations, and Algebra

Lesson 7: Lines, Segments, and Rays

In this Grade 6 Saxon Math, Course 1 lesson, students learn to distinguish between lines, line segments, and rays using precise mathematical terminology, including the roles of endpoints and arrowheads in representing each figure. The lesson also introduces linear measurement, covering units in both the U.S. Customary System (inches, feet, yards, miles) and the metric system (millimeters, centimeters, meters, kilometers). Students practice measuring line segments with inch and centimeter rulers and develop estimation skills by marking half-inch and quarter-inch intervals on a homemade tagboard ruler.

Section 1

📘 Lines, Segments, and Rays

New Concept

A segment is part of a line and has two endpoints. A mathematical line has no endpoints. A ray has one endpoint.

What’s next

Now that you know the definitions, you'll get hands-on practice. Next, you'll use rulers to measure the length of line segments in both inches and centimeters.

Section 2

Metric system

Property

The metric system is an international system of measurement using units like millimeters (mm), centimeters (cm), meters (m), and kilometers (km). It is based on powers of 10, where 1cm=10mm1 \operatorname{cm} = 10 \operatorname{mm} and 1m=100cm1 \operatorname{m} = 100 \operatorname{cm}.

Examples

The thickness of a dime is approximately 1 millimeter.

The width of your pinky finger is about 1 centimeter.

Section 3

U.S. Customary System

Property

The U.S. Customary System is a system of measurement that includes units like inches (in.), feet (ft), yards (yd), and miles (mi).

Examples

The length of your textbook is best measured in inches.

The height of a classroom door is best measured in feet.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 1: Number, Operations, and Algebra

  1. Lesson 1

    Lesson 1: Adding Whole Numbers and Money

  2. Lesson 2

    Lesson 2: Multiplying Whole Numbers and Money

  3. Lesson 3

    Lesson 3: Unknown Numbers in Addition

  4. Lesson 4

    Lesson 4: Unknown Numbers in Multiplication

  5. Lesson 5

    Lesson 5: Order of Operations, Part 1

  6. Lesson 6

    Lesson 6: Fractional Parts

  7. Lesson 7Current

    Lesson 7: Lines, Segments, and Rays

  8. Lesson 8

    Lesson 8: Perimeter

  9. Lesson 9

    Lesson 9: The Number Line: Ordering and Comparing

  10. Lesson 10

    Lesson 10: Sequences

  11. Lesson 11

    Investigation 1: Frequency Tables, Histograms, Surveys

Lesson overview

Expand to review the lesson summary and core properties.

Expand

Section 1

📘 Lines, Segments, and Rays

New Concept

A segment is part of a line and has two endpoints. A mathematical line has no endpoints. A ray has one endpoint.

What’s next

Now that you know the definitions, you'll get hands-on practice. Next, you'll use rulers to measure the length of line segments in both inches and centimeters.

Section 2

Metric system

Property

The metric system is an international system of measurement using units like millimeters (mm), centimeters (cm), meters (m), and kilometers (km). It is based on powers of 10, where 1cm=10mm1 \operatorname{cm} = 10 \operatorname{mm} and 1m=100cm1 \operatorname{m} = 100 \operatorname{cm}.

Examples

The thickness of a dime is approximately 1 millimeter.

The width of your pinky finger is about 1 centimeter.

Section 3

U.S. Customary System

Property

The U.S. Customary System is a system of measurement that includes units like inches (in.), feet (ft), yards (yd), and miles (mi).

Examples

The length of your textbook is best measured in inches.

The height of a classroom door is best measured in feet.

Book overview

Jump across lessons in the current chapter without opening the full course modal.

Continue this chapter

Chapter 1: Number, Operations, and Algebra

  1. Lesson 1

    Lesson 1: Adding Whole Numbers and Money

  2. Lesson 2

    Lesson 2: Multiplying Whole Numbers and Money

  3. Lesson 3

    Lesson 3: Unknown Numbers in Addition

  4. Lesson 4

    Lesson 4: Unknown Numbers in Multiplication

  5. Lesson 5

    Lesson 5: Order of Operations, Part 1

  6. Lesson 6

    Lesson 6: Fractional Parts

  7. Lesson 7Current

    Lesson 7: Lines, Segments, and Rays

  8. Lesson 8

    Lesson 8: Perimeter

  9. Lesson 9

    Lesson 9: The Number Line: Ordering and Comparing

  10. Lesson 10

    Lesson 10: Sequences

  11. Lesson 11

    Investigation 1: Frequency Tables, Histograms, Surveys