Operations With Integers Addition Models Using Two-Color Counters Using a Number Line

Working with Two-Color Counters Color Representations Positive Negative

Current value of the mat is 0 The value now becomes +1. Zero Pair The value of the pair is 0. Current value of the mat is 0 The value now becomes +1.

read “positive 1 plus negative 1 equals 0”. Zero Pair + 1 + (-1) = 0 read “positive 1 plus negative 1 equals 0”.

Addition Models Operations with Integers

Read “positive 2 plus positive 3” Addition Model 1 of 10 2 + 3 Read “positive 2 plus positive 3” Read “positive 5”

Read “negative 4 plus negative 2” Addition Model 2 of 10 -4 + (-2) Read “negative 4 plus negative 2” Read “negative 6”

Read “negative 6 plus negative 3” Addition Model 3 of 10 -6 + (-3) Read “negative 6 plus negative 3” Read “negative 9”

Read “negative 3 plus positive 5” Addition Model 4 of 10 -3 + 5 Read “negative 3 plus positive 5” Read “positive 2”

Read “zero plus negative 3” Addition Model 5 of 10 0 + (-3) Read “zero plus negative 3” Read “negative 3”

Read “negative 3 plus positive 3” Addition Model 6 of 10 -3 + 3 Read “negative 3 plus positive 3” Read “zero”

Read “negative 6 plus positive 7” Addition Model 7 of 10 -6 + 7 Read “negative 6 plus positive 7” Read “positive 1”

Read “positive 6 plus negative 8” Addition Model 8 of 10 6 + (-8) Read “positive 6 plus negative 8” Read “negative 2”

Read “positive 2 plus negative 2” Addition Model 9 of 10 2 + (-2) Read “positive 2 plus negative 2” Read “zero”

Read “negative 2 plus negative 8” Return to Main Menu Addition Model 10 of 10 -2 + (-8) Read “negative 2 plus negative 8” Read “negative 10”

The Number Line Origin Negative Positive

The Number Line Negative Positive -4 -3 -2 -1 0 1 2 3 4

The Number Line Negative Positive 4 + (-7) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4

The Number Line Negative Positive -3 + 5 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4

The Number Line Negative Positive 3+ (-5) -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4

What problem is shown below? The Number Line Negative Positive What problem is shown below? -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -3 + 7 = 4

What problem is shown below? The Number Line Negative Positive What problem is shown below? -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -2 + 2 = 0

What problem is shown below? The Number Line Negative Positive What problem is shown below? -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 -1 + -2 = -3

What problem is shown below? Return to Main Menu The Number Line Negative Positive What problem is shown below? -4 -3 -2 -1 0 1 2 3 4 -4 -3 -2 -1 0 1 2 3 4 4 + -7 = -3