Lining Up With Integers

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

6

Overview

The students will create integer cards (using positive and negative whole numbers and decimals) and then work with classmates to put them in order in a number line diagram. The activity is progressive to help scaffold understanding.

This activity was created as a result of the ALEX Resource Development Summit.

Phase

During/Explore/Explain

Mathematics (2019) Grade(s): 6

MA19.6.10
Locate integers and other rational numbers on a horizontal or vertical line diagram.

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.

Learning Objectives

The students will find and position integers and other rational numbers on a number line diagram.

Activity Details

Begin by reviewing the number zero, and how integers are less than zero. Have students give examples of a situation that can be described with a positive or negative value (ex. giving away money, swimming up through the water, driving back to get something you forgot).

Give each student four index cards. They should listen carefully and place a different value on each card:

A positive whole number between 1 and 10
A negative whole number between -1 and -10
A positive decimal number between 1 and 10
A negative decimal number between -1 and -10

After the students have written their four numbers, have them put them in order from smallest to largest on their desks. Check for accuracy.

Next, have the students combine cards with a partner and put them in order from largest to smallest. Check for accuracy.

Next, students in each group should combine and order cards (16-20 numbers). This one can be a competition, whoever finishes first gets bragging rights.

Finally, have all of the kids put the cards back in random order facing down in the middle of the group. Each student should pick one card without looking at it or showing other students.

When the teacher says go, the object of the last activity is to order the students in the class from smallest to largest. Each student places their integer card on their forehead, and they can’t look at it. The students have to stay silent the entire time. They must arrange each other in order without knowing what their own number is.

After everyone has been arranged, check for accuracy.

Choose a few students at random to leave the line and pick a new number card from the desks. They now have to figure out how to place themselves back in the line. Continue until all students have been moved around.

In order to leave the line and go sit at their seat, students have to come up with a situation that describes their integer card.

In closing, ask questions such as:

How is 3 greater than -25, even though 25 is a bigger number? The negative sign tells you that you are moving backward away from zero. -25 is like owing 25 before I can even get back to zero. Three is positive.
Why do we need negative numbers? So we can describe situations less than zero.
Is a negative decimal number still a negative number? Yes, whole numbers, decimals, and fractions can all be negative.

Assessment Strategies

Students can show Fist-to-Five at the beginning and end of the lesson as an informal pre- and post-assessment. (They hold up fingers to show their understanding, a fist means they didn't understand at all, one finger means they understood a little, all five fingers means they understand it perfectly and could teach it to a friend.)

Observation during the practice will show which students need further support.

The exit ticket (Ordering Integers Exit Ticket) shows whether students can compare and order integers.

Background / Preparation

Gather enough index cards for each student. Copy exit tickets for the students (there are four on a page).

Approved Date

2019-05-15

Owner (Author)

seasley

Design by Adaptive Theme