Interactive multiplication chart

What the chart shows

A multiplication chart lists the products of every pair of numbers from 1 to 12. Find one factor along the left, the other along the top, and the product sits where the row and column meet. Every number in a row goes up by the same amount, which is why the chart is also a set of skip-counting lists.

On this page, Explore shades the rectangle from the corner to the fact you tap, so 7 × 8 shows as 7 rows of 8, and draws the same array as dots below. Squares lights up the diagonal of square numbers. Times table highlights one table's row and column. Turnarounds shows a fact and its partner, such as 3 × 8 and 8 × 3, with both arrays. The Hide-a-fact quiz hides ten facts for the child to fill in.

Why seeing the array matters

A chart on its own can turn into a lookup table. The shaded rectangle keeps the meaning in view: 7 × 8 is the number of squares in a 7 by 8 rectangle. That picture is what children use for area, for breaking a hard fact into easier ones (7 × 8 is 7 × 4 doubled), and later for multiplying bigger numbers.

Common mix-ups

• Believing there are 144 facts to learn. Turnarounds shows that 3 × 8 and 8 × 3 match, which cuts the job nearly in half.
• Mixing up rows and columns. Tap a fact and point to the shaded rectangle: the first number is the rows.
• Treating square numbers as numbers multiplied by 2. Tap 6 × 6 in Squares: 36 is 6 rows of 6, not 6 + 6.
• Guessing a forgotten fact. In the quiz, a wrong answer gives a nearby fact to build from, so the child works it out instead.

A 10-minute chart routine

• In Times table, pick the table the child is learning and say the highlighted numbers aloud together.
• Switch to Turnarounds and tap a fact from that table. Ask where its partner is and why the arrays match.
• In Explore, tap a fact one row lower, such as 7 × 6 after 6 × 6, and ask how much the product grew.
• Play the Hide-a-fact quiz. Before typing, the child says how they know each answer.
• Finish in Squares by asking for the next square number after the chart ends: 13 × 13.

Where it fits by grade

• Grade 2: arrays and repeated addition. In England, Year 2 children learn the 2, 5 and 10 times tables, and Year 3 the 3, 4 and 8.
• Grade 3: the commutative property (3.OA.B.5), patterns in the table (3.OA.D.9) and knowing all products of two one-digit numbers (3.OA.C.7). In England, Year 4 children learn all tables to 12 × 12 and take the multiplication tables check.
• Grades 4 and 5: factors, multiples and square numbers. In England, square numbers are a Year 5 topic.

Learning more

Times tables are a skill on Eurekami's skill map, and Daily Practice brings back the facts a child is shaky on until they stick. Lessons draw arrays live from the numbers in each question, and teachers can print times table worksheets with answer keys.