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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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These are the basic single digit Division facts 1s through 9s. Each of the 26 levels, A through Z, introduces two facts and their reverses. You can see in the picture above of Set D, I have outlined the new facts in red.Students practice orally with a partner, reading and answering the facts going around the outside of the sheet. The partner has the answer key. Then the two students switch roles. After practice everyone takes a one minute test on the facts in the box–which are only the facts learned up to this level. Each student has individual goals based on writing speed, but no one can pass a level if there are any errors. You must give the special Writing Speed Test to set individual goals for your students.
Students should be able to pass a level in a week, if they practice the right way. To the right you can see the sequence of facts that will be learned in the Division 1s-9s program. The program uses the four forms–that can be found in the forms and information drawer.
The most succinct way to be introduced to this program is this 8 minute video.
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Everything you need** to set up an exciting and engaging Game Center in which students compete against themselves to beat their best time completing the Race for the Stars Game boards. Students time their partner completing the game board and post the time on the included poster using the included pen. A sheet of 60 computer-ready Avery name labels is also included. When students beat their posted personal best they put up the new time and cover the old time with a star sticker (plenty are included). A place for best times for both the A-K game board and the L-Z game board. Directions are included.
Click here if you want to read the directions now.
**Except the stopwatch and the games. If you need a stopwatch order item #2112 for $49.
If you need a Race for the Stars Game you must purchase it separately (for $24) you can find it here. -
These are the rest of the Subtraction facts that the Common Core suggests that students be able to compute mentally such as 18-15, 15-5, and 19-8. These obviously build on the basic single digit facts such as 8-5, 5-5, and 9-8. Students should find these fairly easy to master but they still need some practice to commit them to memory. LOOK OUT! Because all the answers are two digits, the number of problems students can be expected to answer will go down! You must give the special Subtract from 20 Writing Speed Test to set new, lower, goals for your students. To the left you can see the sequence of facts that will be learned in the Subtract from 20 program. Otherwise the program is exactly the same as the basic Subtraction Rocket Math program and uses the same forms–that can be found in the forms and information drawer.
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Be ready to start right away. Here is all you need to organize a Tournament set of 15 Race for the Stars games. Game boards and their matching pieces store easily in the seven hanging file folders with labels for the color-coded levels of the game and directions.
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