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Learning to Subtract Integers (positive and negative numbers)
Four Problem Types to Learn
Learning to Subtract Integers displays problems on a vertical number line and then teaches students two rules about how to solve problems in which you subtract positive and negative numbers.
Rule 1: When you subtract a positive number, go DOWN.
Rule 2: When you subtract a negative number, go UP.
Doing problems on the vertical number line is more intuitively appealing because UP is more and DOWN is always less. This makes crossing zero a little easier to comprehend.
Students learn how these two rules play out with two types of problems: when starting with a positive number and when starting with a negative number. Students gradually learn all four types of problems. On each worksheet they see how to solve each problem type using the number line working with their partner. Then students learn to recognize the pattern of each problem type by orally answering several examples of each type with their partner (going around the outside of the page). You will probably not be surprised that there is a one-minute test on each set. Students are to be 100% accurate and to meet or beat their goal from the special writing speed test for Learning to Subtract integers (the fastest goal is only 28 problems in a minute).
4 online lessons teach students how each type of problem is solved and why it is correct.
(1) Subtract Integers Set A Positive subtract a positive
(2) Subtract Integers Set B Positive subtract a negative
(3) Subtract Integers Set G Negative subtract a negative
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Mixed Integers displays problems on a vertical number line and then teaches students two rules about how to solve problems that add or subtract positive and negative numbers.
Rule 1: When you add a positive number OR subtract a negative number, go UP.
Rule 2: When you subtract a positive number OR add a negative number, go DOWN.Students learn how these rules play out when starting with a positive number and a negative number, gradually learn these two variations of all four types of problems. They learn to solve a problem type using the number line and then to recognize the pattern of each problem type by working several examples of each type. This practice gives them a chance to build fluency with each problem type as they work with their partner on the top half of the page. You will probably not be surprised that there is a one-minute test on each set. The goals are slightly different than before. Students are to be 100% accurate and to meet or beat their goal from the special writing speed test for mixed integers.
8 online lessons teach students how each type of problem is solved and why it is correct.
(1) Mixed Integers Set A1 Positive add a positive
(2) Mixed Integers Set A2 Positive subtract a positive
(3) Mixed Integers Set D Negative add a positive
(4) Mixed Integers Set G Negative subtract a positive
(5) Mixed Integers Set J Negative subtract a negative
(6) Mixed Integers Set M Positive subtract a negative
(7) Mixed Integers Set P Positive add a negative
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