Finding One: Cracking the Number Line Code!

Mathematics Grades 4th Grade 2:30 Video
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Lesson Description

Learn how to find the number 1 on a number line, even when it's divided into fractions! Discover how to use fractions to locate whole numbers on the line.

Video Resource

Finding 1 on the number line

Khan Academy

Duration: 2:30
Watch on YouTube

Key Concepts

  • Number lines as visual representations of numbers
  • Fractions representing parts of a whole
  • Equivalence between fractions and whole numbers (e.g., 4/4 = 1)

Learning Objectives

  • Students will be able to identify the location of '1' on a number line divided into fractional units.
  • Students will be able to determine the fractional unit represented by each space on a number line.
  • Students will be able to explain why a specific fraction is equal to one whole.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they know about number lines. Briefly review whole numbers on a number line. Introduce the idea that number lines can also show fractions.
  • Video Viewing (7 mins)
    Play the Khan Academy video 'Finding 1 on the number line'. Encourage students to follow along and pause the video at the points suggested by the instructor to try solving the problems independently.
  • Guided Practice (10 mins)
    Work through similar examples as in the video, but on the whiteboard or projector. Start with simpler fractions like halves and fourths, then move to more complex fractions like sixths or eighths. Model how to count the spaces between zero and a given fraction to determine the size of each fractional unit. Emphasize that to find '1', they need to find where the fraction equals the denominator (e.g., 4/4, 6/6).
  • Independent Practice (10 mins)
    Provide students with worksheets or online interactive exercises where they need to identify the location of '1' on various number lines with different fractional units.
  • Wrap-up and Assessment (8 mins)
    Review the key concepts. Have students explain in their own words how they find '1' on a number line. Administer the multiple-choice and fill-in-the-blank quizzes as a quick assessment.

Interactive Exercises

  • Number Line Puzzles
    Provide students with number lines where some numbers are missing, and they need to use their understanding of fractions to fill in the blanks, including the location of '1'.
  • Online Number Line Tool
    Use an online interactive number line tool where students can drag and drop fractions and whole numbers onto the number line to practice finding '1' and equivalent fractions.

Discussion Questions

  • How is a number line helpful for understanding fractions?
  • Why is finding the fractional unit important for locating '1' on the number line?
  • What are some real-world examples where we use fractions to represent parts of a whole?

Skills Developed

  • Fraction identification
  • Problem-solving
  • Critical thinking
  • Number sense

Multiple Choice Questions

Question 1:

On a number line divided into fourths, where is 1 located?

Correct Answer: 4/4

Question 2:

If a number line is divided into six equal parts between 0 and 1, what fraction represents each part?

Correct Answer: 1/6

Question 3:

Which fraction is equal to 1?

Correct Answer: 5/5

Question 4:

On a number line, you count 8 equal spaces to get to 1. What fraction represents each space?

Correct Answer: 1/8

Question 5:

If a number line shows 3/3, what whole number is it also showing?

Correct Answer: 1

Question 6:

A number line is divided into tenths. How many tenths are equal to 1?

Correct Answer: 10

Question 7:

Which of these fractions is NOT equal to 1?

Correct Answer: 2/1

Question 8:

You see a number line marked with 1/5, 2/5, 3/5, 4/5. What is the next mark?

Correct Answer: 5/5

Question 9:

If each space on a number line represents 1/7, how many spaces do you need to count from 0 to get to 1?

Correct Answer: 7

Question 10:

Which number line correctly shows 1?

Correct Answer: One with 4/4 marked as 1

Fill in the Blank Questions

Question 1:

The fraction 8/8 is equal to the whole number _________.

Correct Answer: 1

Question 2:

On a number line, if each space is 1/5, then 1 is the same as _________ /5.

Correct Answer: 5

Question 3:

If a number line is divided into quarters, you need _________ quarters to make 1.

Correct Answer: 4

Question 4:

A fraction where the top and bottom numbers are the same is equal to _________.

Correct Answer: 1

Question 5:

The number line shows parts of a whole. To find 1, you need to find the _________ whole.

Correct Answer: entire

Question 6:

On a number line divided into twelfths, 1 is located at ________/12.

Correct Answer: 12

Question 7:

When the numerator and the denominator of a fraction are the same, the fraction is equal to ________.

Correct Answer: 1

Question 8:

If each section of a number line is 1/9, it takes ________ sections to reach 1.

Correct Answer: 9

Question 9:

Finding 1 on a number line means finding the _______ fraction that represents the whole.

Correct Answer: equivalent

Question 10:

The space between 0 and 1 on a number line is divided into equal parts. Each part represents a ________.

Correct Answer: fraction

Educational Standards

4.N.3.2:Use benchmark fractions (0, 1/2, 1/4, 1/3, 2/3, 3/4, 1) to locate additional fractions with denominators up to twelfths on a number line. 4.N.3.1:Represent and rename equivalent fractions using fraction models (e.g., parts of a set, area models, fraction strips, number lines).

Teaching Materials

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