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
These are the rest of the Addition facts that the Common Core suggests that students be able to compute mentally such as 11 + 7, 4 + 13, and 16 + 3. These obviously build on the basic single digit facts such as 1 + 7, 4 + 3, and 6 + 3. 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 Add to 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 Add to 20 program. Otherwise the program is exactly the same as the basic Addition Rocket Math program and uses the same forms–that can be found in the forms and information drawer.
[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]
This is a beginning program for kindergarten students. You are teaching them to count objects aloud and then match the word with the numeral.
Each worksheet begins with a demonstration of counting objects and circling the numeral that matches. On Worksheet A there are two and three only to learn. The teacher demonstrates (best with a document camera so all students can see) how she counts the objects and then points out that the answer is circled.
In the “You do” portion of the worksheet after learning the numerals with the teacher, the students are asked to count the items in each box and circle the correct number. They are not asked to form the numerals–that’s numeral writing skill. They just identify the numeral and circle it. Besides cute items there are also dice to count, fingers to count and hash marks to count–so students can learn multiple ways of keeping track of numbers.
Passing a level requires 100% accuracy. Students who make any errors should be worked with until they can complete the worksheet independently and get all the items correct.
This will build strong beginning math skills for kindergarteners learning the meaning of numerals. Combined with Rocket Writing for Numerals it will set students up for success in elementary math.
In the “We do” portion of the worksheet the teacher counts the stars first as a demo and then with the students. Worksheet A you all just count 3 stars. By Worksheet S the teacher and the students are counting 12 stars together.
[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]
These are the basic single digit Subtraction 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 C, 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 Subtraction 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.
[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]