ALEX Lesson Plan

     

Wonder Number Line

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  This lesson provided by:  
Author:Tim McKenzie
Organization:UAB/UABTeach
The event this resource created for:CCRS
  General Lesson Information  
Lesson Plan ID: 33126

Title:

Wonder Number Line

Overview/Annotation:

This lesson allows students to become familiar with a number line. Students can explore a number line and develop knowledge of numerical concepts. While it covers a 6th grade standard, this lesson can be used as part of a 7th or 8th grade lesson on integers.

This is a College- and Career-Ready Standards showcase lesson plan.

 Associated Standards and Objectives 
Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 6
10. Locate integers and other rational numbers on a horizontal or vertical line diagram.

a. Define opposites as numbers located on opposite sides of 0 and the same distance from 0 on a number line.

b. Use rational numbers in real-world and mathematical situations, explaining the meaning of 0 in each situation.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Create and interpret number line diagram.
  • Given any rational number (positive or negative).
  • Locate the number on a number line.
  • Identify opposite signs of numbers as indicating the same distance from zero on the opposite side of zero, the opposite of the opposite, or a representation of its opposite as the point itself [-(-3) = 3], and zero as its own opposite.
Teacher Vocabulary:
  • Integers
  • Rational numbers
  • Horizontal line diagram
  • Vertical line diagram
Knowledge:
Students know:
  • Strategies for creating number line models of rational numbers (marking off equal lengths by estimation or recursive halving).
  • Strategies for locating numbers on a number line.
  • Notation for positive and negative numbers and zero.
Skills:
Students are able to:
  • Represent rational numbers and their opposites on a number line including both positive and negative quantities.
  • Explain and justify the creation of number lines and placement of rational numbers on a number line.
  • Explain the meaning of 0 in a variety of real-world contexts.
Understanding:
Students understand that:
  • Representing rational numbers on number lines requires using both a distance and a direction,
  • Locating numbers on a number line provides a representation of a mathematical context which aids in visualizing ideas and solving problems.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.6.10.1: Define integers, positive and negative numbers.
M.6.10.2: Demonstrate the location of positive and negative numbers on a vertical and horizontal number line.
M.6.10.3: Give examples of positive and negative numbers to represent quantities having opposite directions in real-world contexts.
M.6.10.4: Discuss the measure of centering of 0 in relationship to positive and negative numbers.
M.6.10.5: Discover that the opposite of the opposite of a number is the number itself.
M.6.10.6: Show on a number line that numbers that are equal distance from 0 and on opposite sides of 0 have opposite signs.
M.6.10.7: Define rational number.
M.6.10.8: Plot pairs of integers and/or rational numbers on a coordinate plane.
M.6.10.9: Arrange integers and /or rational numbers on a horizontal or vertical number line.
M.6.10.10: Locate the position of integers and/or rational numbers on a horizontal or vertical number line.
M.6.10.11: Identify a rational number as a point on the number line.
M.6.10.12: Name the pairs of integers and /or rational numbers of a point on a coordinate plane.

Prior Knowledge Skills:
  • Model writing ordered pairs.
  • Identify the x- and y- values in ordered pairs.
  • Label the vertical axis (y).
  • Label the horizontal axis (x).
  • Define ordered pair of numbers, quadrant one, coordinate plane, and plot points.
  • Locate positive numbers on a vertical number line.
    Examples: thermometer, map.
  • Locate positive numbers on a horizontal number line.
  • Locate negative numbers on a horizontal number line.
  • Label x- and y-axis and zero on a coordinate.
  • Illustrate vertical and horizontal number lines.
  • Specify locations on the coordinate system.
  • Define x-axis, y-axis, and zero on a coordinate.
  • Define ordered pair of numbers.
  • Define parentheses, braces, and brackets.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.6.9 Describe quantities with positive and negative numbers (e.g. temperature, sea level, etc.).


Local/National Standards:

Math Practice Standards:

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically. 

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

Primary Learning Objective(s):

I CAN create a number line with negative and positive numbers.

I CAN identify opposites on a number line.

I CAN define absolute value as the distance of a number from 0.

Additional Learning Objective(s):

 
 Preparation Information 

Total Duration:

31 to 60 Minutes

Materials and Resources:

Blank sentence strips, Wonder Number Line activity guide (found in attachments), Math Toolbox which includes the following: pencil, paper, graph paper, markers, scissors, glue, calculator, sticky notes

Technology Resources Needed:

Interactive Whiteboard (Optional) with required software, Document camera, projector, laptop or computer capable of showing videos

Background/Preparation:

The teacher must make the appropriate number of copies of the "Wonder Number Line" activity guide (found in attachments). Copies should be made so that students can work collaboratively.

Teacher must prepare the appropriate number of Math Toolboxes.

Teacher must ensure that the video of Life Below Zero trailer works in their classroom.

Students must have knowledge of number progression.

  Procedures/Activities: 

BEFORE:

1. The teacher will show the trailer for Life Below Zero (linked above). After the video, the teacher will ask, "What temperatures did you hear or see on the video?" "What is the coldest temperature you have felt?"

DURING:

2. The teacher will inform the students that the freezer in their home stays around 0 degrees Fahrenheit. The teacher will ask, "What do you notice about these temperatures that are below 0 degrees?" Ideal answer, "They are very cold." The teacher will then ask, "What is the difference between 125 degrees and -125 degrees?" Students will give responses, but the teacher must refrain from giving further information because of the investigation.

3. The teacher will inform the students they will be investigating numbers on both sides of 0 on a number line. 

4. The teacher will transition students in the Wonder Number Line investigative activity. (The teacher can instruct the students how to connect two sentence strips together, i.e. stapler, glue, or tape, but the rest of the activity should be investigative.) As the students are working, the teacher will act as a facilitator and coach. The teacher will use appropriate questioning to drive understanding of positive and negative number and absolute value.

5. Once adequate time (20-30 minutes, less time if using this in 7th and 8th grade) is given, the students will share their findings on the document camera. (If a document camera is not available, students may present their work in the front of the class, this is where the students would need chart paper). As the students are sharing, the teacher is acting as the facilitator and coach asking questions that drive ratio understanding. "How do you know ________?" "Can someone explain the thinking of your classmate?" "Did someone see this differently?" It is important that the teacher drives the discussion toward absolute value. The teacher will introduce absolute value as, "the distance of any number from 0." The teacher may also ask, "Can the absolute value of a number be negative?"

AFTER:

6. Students will complete an exit slip answering the question, "Think back to the Life Below Zero video, what is the difference between 150 degrees and -150 degrees?"



Attachments:
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  Assessment  

Assessment Strategies

Formal formative assessment: Exit Slip (Question is found in procedures)

Formal Assessment: Using the Investigative Activity Rubric (found in attachments) teacher will evaluate students' work.

Informal Formative Assessment: As the students are working, the teacher will act as the facilitator and coach. Teacher will ask questions to evaluate students (i.e. How do you know ______? What did you do to get that?) Teacher may pull small groups during investigation on a needs basis.

Acceleration:

Using the number line that students created, the teacher can hold a multitude of mathematical conversations. Furthermore, in 7th and 8th grade this number line can be used to teach operations with integers.

Intervention:

During the investigative activity, the teacher may use questioning to evaluate students. From this questioning, the teacher can develop small groups to assist students with the activity and ensure understanding.


View the Special Education resources for instructional guidance in providing modifications and adaptations for students with significant cognitive disabilities who qualify for the Alabama Alternate Assessment.