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Home Uncategorized extras Identifying Fractions

Identifying Fractions

This is a program to ensure that students have a firm and correct understanding of fractions.  This will prepare them well for all subsequent work in fractions.  They will learn the essential rule about what the numerator and denominator mean, although they won’t be working with those terms.  They just learn through examples, practiced over and over.

The number on the top tells how many parts are shaded.  The number on the bottom indicates the number of parts in a whole.  If a whole is not divided into parts, it is a whole number.

Right from the beginning of Set A students will encounter improper fractions and mixed numbers.  They will see examples of every fraction first at the top of the page before they are asked to identify it on their own. You see that students see the fraction, see the words for how we say it and they see the fraction they are to write.

Unlike other Rocket Math programs, the test and the practice items are the same.  Of course the students have a page without the answers, while their partner holds the answer key. Students practice by saying aloud to their partner the fractions shown in the test.  Then they take the test on those same items, but write the answer.

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Category: Uncategorized extras. Tags: basic math, elementary math, fluency, Fractions, improper fractions, mixed numbers, practice. worksheets, Rocket Math.
  • Description
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Description

This is a program to ensure that students have a firm and correct understanding of fractions.  This will prepare them well for all subsequent work in fractions.  They will learn the essential rule about what the numerator and denominator mean, although they won’t be working with those terms.  They just learn through examples, practiced over and over.

The number on the top tells how many parts are shaded.  The number on the bottom indicates the number of parts in a whole.  If a whole is not divided into parts, it is a whole number.

Right from the beginning of Set A students will encounter improper fractions and mixed numbers.  They will see examples of every fraction first at the top of the page before they are asked to identify it on their own. You see that students see the fraction, see the words for how we say it and they see the fraction they are to write.

Unlike other Rocket Math programs, the test and the practice items are the same.  Of course the students have a page without the answers, while their partner holds the answer key. Students practice by saying aloud to their partner the fractions shown in the test.  Then they take the test on those same items, but write the answer.

The fractions that students become familiar with include, halves, thirds, quarters, fifths, sixths, eighths, tenths and twelfths.  They see improper fractions and mixed number with every denominator.  In the beginning with the smaller denominators students see a variety of shapes for each denominator, so they learn that the identity of a fraction only has to do with the number of parts in a whole, not the shape of the display.  You can see thirds as cubes and as circles and as rectangles in the examples to the right.

When students are eventually introduced to eighths, tenths and twelfths we don’t want to slow them down by having to laboriously count the number of parts in each figure.  So the eighths are always displayed as two sets of four rectangles on top of each other.  Tenths are displayed as two columns of five blocks with little numbers in them.  Twelfths are always displayed as three sets of four rectangles on each other.  Students should notice these conventions so they can quickly identify the number of parts in those figures without having to count them.

Identifying fractions has its own writing speed test, to be sure that student goals are individualized to their writing speed.  By the time students complete Set Z in this program they will have a strong understanding of fractions that will be fluent.  There are even 2-minute timings you can give every week or two for them to chart their progress as they get faster.  This is a great program for students of any grade from second grade on up who have finished the basics for their grade level.  It will really put them in good shape when dealing with fractions in later years.

Delivery and Returns Content description.

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    Uncategorized extras Division–Learning Computation

    After becoming fluent with division facts the best way for students to retain the knowledge of those facts is by doing division computation.  If students have not been taught division computation, this program breaks it down into small, easy-to-learn steps that are numbered in a teaching sequence that leaves nothing to chance.

    Note that the number for each skill gives the grade level as well as indicating the teaching sequence.  Skill 3b is a 3rd grade skill and after skill 3c is learned the next in the sequence is skill 4a.  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 (4th Edition) Pearson Education: Columbus, OH.

    (3b) Dividing 1-digit divisor and quotient with remainder.

    (3c) Division equation with ÷ sign; facts with no remainder

    (4a) 1-digit divisor; 2- or 3-digit dividend, 2-digit quotient; no remainder.

    (4b) 1-digit divisor; 2- or 3-digit dividend, 2-digit quotient; remainder.

    (4c) 1-digit divisor; 2- or 3-digit dividend, 2-digit quotient with zero; remainder.

    not yet completed levels–coming soon

    (4d) 1-digit divisor; 3- or 4-digit dividend, 3-digit quotient.

    (4e) 1-digit divisor; 3- or 4-digit dividend, 3-digit quotient with zero.

    (4f) 1-digit divisor; 4- or 5-digit dividend, 4-digit quotient.

    (4g) Rounding to the nearest ten.

    (4h) 2-digit divisor; 1- or 2-digit quotient, all estimation yields correct quotient.

    (4i) 2-digit divisor with incorrect estimated quotients.

     

    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.  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 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.

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    Uncategorized extras Fact Families Part Two 11-18 (+, -)

    A number of math programs around the country introduce math facts in families.  Now Rocket Math does too!

    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.

     

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    Uncategorized extras Subtract from 20 (e.g., 18-15, 15-5, 19-8)

    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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    Uncategorized extras Game Center Kit for Race for the Stars (no stopwatch included) #2111 $35.00

    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.
    race-for-the-stars-product-imagery-multiplicationIf you need a Race for the Stars Game you must purchase it separately (for $24) you can find it here.  

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