Addition and Subtraction of Positive and Negative Numbers

Grade 6

Created by:

Math & Movement

Estimated Activity Time:

Standard:

Concept(s):

Activity Instructions

Have students make one turn for each negative signโ€”NOT including the first number in the equation! Two negatives require a 360-degree turn, canceling the change in direction.
Step 1: Have a student stand on the number line on the first number in the equation. Always face the positive direction (โ€œupโ€ the mat).
Step 2: Have the student decide if turns are necessary. Ask the question, โ€œAre you adding or subtracting?โ€ Make a 180 degree turn when subtracting. Ask the question, โ€œIs the second number positive or negative?โ€ Make a 180 degree turn when the second number is negative.

EXAMPLE 1: 3 – 5 =
Have the student stand on the positive 3 facing the positive numbers (facing toward the positive 10). Ask the question, โ€œAre you adding or subtracting?โ€ Since the student is subtracting, make one turn and stand facing the negative numbers. Ask the question, โ€œWhat is the sign of the second number?โ€ Since it is positive, do not take another turn. Walk five steps, ending with NEGATIVE 2 (-2).

EXAMPLE 2: 3 – (-5) =
Have the student stand on the positive 3. Ask the question, โ€œAre you adding or subtracting?โ€ Since the student is subtracting, make one turn and stand facing the negative numbers. Ask the question, โ€œWhat is the sign of the second number?โ€ Since it is negative, make another turn and stand facing the positive numbers. Walk five steps, ending with POSITIVE 8 (+8).

EXAMPLE 3: 3 + 5 =
Have the student stand on the positive 3. Ask the question, โ€œAre you adding or subtracting?โ€ Since the student is adding, do not turn. Ask the question, โ€œWhat is the sign of the second number?โ€ Since it is positive, do not turn. Walk five steps, ending with POSITIVE 8 (+8).

EXAMPLE 4: 3 + (-5) =
Have the student stand on the positive 3. Ask the question, โ€œAre you adding or subtracting? Since the student is adding, do not turn. Ask the question, โ€œWhat is the sign of the second number?โ€ Since it is negative, make one turn and stand facing the negative numbers. Walk five steps ending with NEGATIVE 2 (-2).

EXAMPLE 5: -3 – 5 =
Have the student stand on the negative 3, facing the zero (the positive direction). Ask the question, โ€œAre you adding or subtracting?โ€ Subtracting! Turn 180ยฐ so that you are facing the negative numbers (facing in the direction of negative 10). Ask the question, โ€œWhat is the sign of the second number?โ€ Positive! Do not turn. Walk five steps, ending with NEGATIVE 8 (-8).

EXAMPLE 6: -3 – (-5) =
Have the student stand on the negative 3, facing the zero (the positive direction). Ask the question, โ€œAre you adding or subtracting?โ€ Subtracting! Make one turn and stand facing the negative numbers. Ask the question, โ€˜What is the sign of the second number?โ€ Negative. Make another turn and stand facing the positive numbers. Walk five steps, ending with POSITIVE 2 (+2).

EXAMPLE 7: -3 + 5 =
Have the student stand on the negative 3, facing the zero and the positive direction. Ask the question, โ€œAre you adding or subtracting?โ€ Since you are adding, do not turn. Ask the question, โ€œWhat is the sign of the second number?โ€ It is positive. Do not turn. Walk five steps, ending with POSITIVE 2 (+2).

EXAMPLE 8: -3 + (-5) =
Have the student stand on the negative 3, facing the zero (the positive direction). Ask the question, โ€œAre you adding or subtracting?โ€ Since you are adding, do not turn. Ask the question, โ€œWhat is the sign of the second number?โ€ It is negative. Make one turn and stand facing the negative numbers. Walk five steps, ending with NEGATIVE 8 (-8).


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