By counting on the tap points of the numerals as shown in *, *the major resource for this key, students learn how to *figure out* all 390 number facts.

• By counting *forward* to 18, they can figure out *all* 100 addition facts (MMP, pages )

• By counting *backward* from 18, they can figure out *all* 100 subtraction facts (MMP, page )

• By counting to 20 by2s (2-4-6- ... -20), 30 by 3s (3-6-9- ... -30), 40 by 4s (4-8-12- ... -40), ... , and 90 by 9s (9-18-27- ... 90), they can figure out *both* all 100 multiplication facts (MMP, pages ) and all 90 division facts (MMP, pages )

Thus the task of teaching the number facts is hugely reduced to teaching only the Tap & Tally™ numerals and the above counting skills. To teach the skip counting indicated, we recommend teaching the skip counting songs for the 2s through 10s on the CD by . Alternatively, make up your own songs.

Click for answers to frequently asked questions about Tap & Tally™.

*The Number Facts Barrier Tumbles Down*

Using Tap & Tally™ as a back-up to drill and practice and mental math, ALL KIDS CAN LEARN ARITHMETIC *hugely* accelerates learning the number facts. It teaches *all* 100 addition facts, *all* 100 subtraction facts, and the multiplication and division facts for 2, 5, and 10 in *kindergarten*, the multiplication and division facts for 3 and 4 in grade 1, and those for 6, 7, 8, and 9 in grade 2. (Although the multiplication and division facts for 10 are not basic facts, they are included because most children find them easy to learn and they come up often in working with time, money, and the metric system.) Spreading out the teaching of the multiplication facts and division facts over kindergarten through grade 2 removes the barrier the times table presents for many kids when they are in grade 4 and must seemingly know it all at once.

If a student knows a number fact, they are to write it down. If not or not sure, they are to abide by the *no-guessing rule* in ALL KIDS CAN LEARN ARITHMETIC.

Thus elementary school children *naturally* meet the automaticity standard for many of the math facts through *perfect* practice—the correct response *every* time for *every* fact—without being held back by the ones they do not remember but can figure out (and maybe eventually remember).

**Think Links: Math/Language Arts**

Game-like activities to review all 390 number facts in complete sentences with all of the pre-primer, primer and grade 1, 2, and 3 words from the Dolch basic vocabulary list. Integrates math and reading by grade level. The math adds meaning to the reading with vivid, focused images, and the reading puts zip into the math by providing it with background and a cast of players. Incorporates predictable language patterns. Guaranteed to make you and your students laugh!

Ideal for small groups and learning centers.

Grades 1-4, 63 pages of reproducible black-line masters with permission to duplicate.

Available only from this website.

**Think Links: Math/Reading Readiness**

Twenty-five game-like activities for children learning to count and read. Players count letters of the alphabet and things like cars, pencils, and kites and creatures like deer, pigs, and rabbits, first to 10, then to 20. Numerals in the tens, hundreds, and thousands are illustrated with base ten blocks. Introduces reading *BIG* numbers in the thousands, millions, and billions. Guaranteed to get and keep your students’ attention.

Ideal for small groups and learning centers.

Grades K-2, 78 pages of reproducible black-line masters with permission to duplicate

Available only from this website.

**A R A C E T O M A S T E R T H E N U M B E R F A C T S**

*Paul Joseph Shoecraft* •** Terry James Clukey**

Takes the dull out of drill, allowing students to recall the number facts after only six to eight weeks of working just one minute a day.

Grades K-8, 240 pages of reproducible black-line masters with permission to duplicate.

Purchase from this website or Pearson Learning.