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Arithmetic Speed Drills

A key to comfort and competence in elementary mathematics is fluency with the basic facts of arithmetic.  In particular, the single-digit number facts must become automatic, requiring little more conscious effort than recalling one’s own name.

To promote fluent skills in:

ADDITION   SUBTRACTION   MULTIPLICATION    DIVISION

The carefully constructed exercises in this package help students become automatic and fluent with the basic facts of the four fundamental operations of arithmetic.

Speed Drills for Arithmetic Facts

by Phyllis E. Fischer, Ph.D.

54 pages

8½"×11" looseleaf.  

ISBN 1-881929-16-7  

$24.95

Manipulating numbers automatically in a variety of settings depends on several distinct skills.  These speed drills help students to develop those skills, to become automatic at the basic arithmetic facts of the single-digit numbers.  This is done by timing the students for one minute while they write the answers to carefully chosen sets of questions.  

The design of these drills is based on observations of students who became proficient at adding and subtracting when they saw how the three numbers in an addition/subtraction statement were related to each other — for instance, when they saw that 2, 3, and 5 are related by 2 + 3 = 5 and 5 – 2 = 3 and 5 – 3 = 2.  The same thing was true for multiplying and dividing.  Proficiency came once they saw the relationships between statements such as 5 × 2 = 10 and 10 ÷ 5 = 2.  

These drills assume that students are fluent with the language of our base-ten numeration system and with solving a variety of problems using the four basic operations.  Materials for developing fluency with those skills appear in Nimble Numeracy: Fluency in Counting and Basic Arithmetic, also by Dr. Phyllis Fischer.

Why choose these speed drills?

 To see a sample, click on an underlined page.

Add and Subtract with:

2 + 2, 3 + 3, 4 + 4

3, 4, and 7

3, 5, and 8

3, 6, and 9

3, 7, and 10

3, 8, and 11

3, 9, and 12

4, 5, and 9

4, 6, and 10

4, 7, and 11

4, 8, and 12

4, 9, and 13

5 + 5, 6 + 6, 7 + 7

5, 6, and 11

5, 7, and 12

5, 8, and 13

5, 9, and 14

6, 7, and 13

6, 8, and 14

6, 9, and 15

7, 8, and 15

7, 9, and 16

8 + 8 and 9 + 9

8, 9, and 17

Multiply and Divide with:

2 & 2, 3 & 3, 4 & 4

3, 4, and 12

3, 5, and 15

3, 6, and 18

3, 7, and 21

3, 8, and 24

3, 9, and 27

4, 5, and 20

4, 6, and 24

4, 7, and 28

4, 8, and 32

4, 9, and 36

5 & 5, 6 & 6, and 7 & 7

5, 6, and 30

5, 7, and 35

5, 8, and 40

5, 9, and 45

6, 7, and 42

6, 8, and 48

6, 9, and 54

7, 8, and 56

7, 9, and 63

8 & 8, 9 & 9, 10 & 10

8, 9, and 72

The speed drill pages

© 2006 – 2015 Oxton House Publishers, LLC

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You will get a link for three attempts to download the Contrast Cards, which will work for one (1) week from purchase. (If for some reason you are unable to download the file in that time, call or email Oxton House and request a reactivation.)

Copyright same as print version: © Phyllis E. Fischer, 1997. All rights reserved. For use by one teacher or tutor with the students that person teaches.

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