Part of the Universal Subscription Plan
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
With everyone’s initial order of Wall Charts we send 4 sheets of star stickers (over 750) for each Wall Chart ordered. But what if your school has somehow run out of star stickers for the Rocket Math Wall Charts? Order Item #2007 and we will send you 40 additional sheets of star stickers–over 7,500 stickers.
A fact family includes both addition and subtraction facts. This program is Part 2 of Fact Families, coming after Fact Families 1 to 10. You can see to the left the 18 examples of fact families taught in this program starting with Set A; 11-2, 11-9, 9+2, & 2+9. The sheet shows the sequence of learning facts in the new Rocket Math program Fact Families Part Two 11 to 18 (+, -). Each set that students learn from A to R adds just one fact family to be learned, so it isn’t too hard to remember. (That’s the Rocket Math secret ingredient!)
Learning math facts in families, is gaining in popularity these days. Logic suggests that this would be an easier way to learn. However, the research is not definitive that this is easier or a faster way to learn facts than separating the operations and learning all addition facts first and then learning all subtraction facts. But learning in fact families is a viable option, and I wanted to have it available for Rocket Math customers.
Part Two is a Best fit for second grade. These facts come after the facts in 1 to 10, typically learned in first grade, so these are best for second grade. The 25 fact families in 1s through 10s facts are just enough for one Rocket Math program. It is a good and sufficient accomplishment for first grade. With the 11 to 18 in Par Two for second grade there will be a lot of review. In fact sets S through Z are all review. I have heard that some first grades prefer to keep the numbers small but to learn both addition and subtraction–so this program accomplishes that.
I added Fact Families Part Two 11 to 18 (+, -) to the Universal subscription in August of 2018 bringing the total number of programs in the Universal subscription to 19 (the basic four operations and 15 more!). As always, new programs are added to the Universal subscription without additional cost as soon as they are available.
I most sincerely want students to be successful and to enjoy (as much as possible) the necessary chore of learning math facts to automaticity. Please give me feedback when you use this new program, Fact Families 11 to 18 (+, -), as to how it goes for the students.
[otw_shortcode_button href="https://www.rocketmath.com/worksheet-program-subscription-levels-comparison/ " size="medium" bgcolor="#06427f" icon_type="general foundicon-left-arrow" icon_position="left" shape="radius" color_class="otw-blue"]Back to Comparison[/otw_shortcode_button] [otw_shortcode_button href="https://www.rocketmath.com/members/signupuniversal-subscription-options" size="medium" bgcolor="#F9BF00" icon_type="general foundicon-right-arrow" icon_position="right" shape="radius" color_class="otw-blue"]Continue to Checkout[/otw_shortcode_button]
After becoming fluent with subtraction facts the best way for students to retain the knowledge of those facts is by doing subtraction computation. If students have not been taught subtraction computation, Subtraction–Learning Computation breaks it down into 18 small, easy-to-learn steps that are numbered in a teaching sequence that leaves nothing to chance. Even better the instructional materials include an assessment of all the skills in subtraction computation in order, so you can test the knowledge of the student(s) before beginning instruction to see where to start. You can use this assessment to find very specific “holes” in student skills and then have the exact problems and explanation to fill that hole.
Note that the number for each skill gives the grade level as well as indicating the teaching sequence. Skill 3b is a 3^{rd} grade skill and after skill 3g is learned the next in the sequence, skill 4a is best taught in fourth grade. Minor changes have been made, but for the most part, the sequence of skills is drawn from M. Stein, D. Kinder, J. Silbert, and D. W. Carnine, (2006) Designing Effective Mathematics Instruction: A Direct Instruction Approach (4^{th} Edition) Pearson Education: Columbus, OH.
(1b) Subtract from 2 digits; no renaming.
(2a) Subtract from 2digits; renaming required.
(2b) Subtract from 3 digits; borrow from 10s.
(3a) Subtract from 3 digits; borrow from 100s.
(3b) Subtract from 3 digits; borrow either place.
(3c) Subtract tens minus one facts.
(3d) Subtract from 3 digits; zero in 10s; borrow 10s or 100s.
(3e) Read and write thousands numbers, use commas.
(3f) Subtract from 4 digits; borrow from 1000s.
(3g) Subtract from 4 digits; borrow once or more.
(4a) Subtract from 4 digits; zero in 10s or 100s column
(4b) Subtract from 4 digits; zero in 10s column, 1 in 100s.
(4c) Subtract hundreds minus one facts.
(4d) Subtract from 4 digits; zero in 10s and 100s column.
(4e) Subtract 1, 2, or 3 digits from 1,000.
(4f) Subtract 5 and 6 digits with borrowing.
(5a) Subtract thousands minus one facts.
(5b) Subtract from a number with four zeroes.
For each skill there is a suggested Teaching Script giving the teacher/tutor/parent consistent (across all the skills we use the same explanation) language of instruction on how to do the skill. My favorite part is the rule students are taught for when to borrow (often confusing for students): Bigger bottom borrows. Simple, easy-to-remember and consistently correct. The script helps walk the student through the computation process. For the teacher, in addition to the script, there are answer keys for the five worksheets provided for each skill.
Each worksheet is composed of two parts. The top has examples of the skill being learned that can be worked by following the script. After working through those examples with the teacher the student is then asked to work some review problems of addition problems that are already known. The student is asked to do as many as possible in 3 minutes—a kind of sprint. If all is well the student should be able to do all the problems or nearly all of them, but finishing is not required. Three minutes of review is sufficient for one day.
There are five worksheets for each skill. Gradually as the student learns the skill the teacher/tutor/parent can provide progressively less help and the student should be able to do the problems without any guidance by the end of the five worksheets. There are suggestions for how to give less help in the teaching scripts.
[otw_shortcode_button href="https://www.rocketmath.com/worksheet-program-subscription-levels-comparison/ " size="medium" bgcolor="#06427f" icon_type="general foundicon-left-arrow" icon_position="left" shape="radius" color_class="otw-blue"]Back to Comparison[/otw_shortcode_button] [otw_shortcode_button href="https://www.rocketmath.com/members/signupuniversal-subscription-options" size="medium" bgcolor="#F9BF00" icon_type="general foundicon-right-arrow" icon_position="right" shape="radius" color_class="otw-blue"]Continue to Checkout[/otw_shortcode_button]
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
(4) Subtract Integers Set L Negative subtract a positive
[otw_shortcode_button href="https://www.rocketmath.com/worksheet-program-subscription-levels-comparison/ " size="medium" bgcolor="#06427f" icon_type="general foundicon-left-arrow" icon_position="left" shape="radius" color_class="otw-blue"]Back to Comparison[/otw_shortcode_button] [otw_shortcode_button href="https://www.rocketmath.com/members/signupuniversal-subscription-options" size="medium" bgcolor="#F9BF00" icon_type="general foundicon-right-arrow" icon_position="right" shape="radius" color_class="otw-blue"]Continue to Checkout[/otw_shortcode_button]
Reviews
There are no reviews yet!