Table Patterns in the Art Room

Find and explain patterns in addition and multiplication tables.

Continue the pattern

Each list is a row from the multiplication table or the addition table. Fill in the missing numbers.

Ms. Rivera lines up paint jars in rows of 4. Here is the 4s row of the multiplication table. Write the next two numbers.

4, 8, 12, 16, ,

Each box in the art room holds 6 crayons. Here is the 6s row of the multiplication table. Find the missing number.

6, 12, , 24, 30, 36

Each cup holds 9 paintbrushes. Here is the 9s row of the multiplication table. Find the missing numbers.

9, 18, 27, , 45,

Here is the 7s row of the addition table: 7 + 0, 7 + 1, 7 + 2, and so on. Find the missing sums.

7, 8, 9, , 11,

Kai stacks paper in piles of 5. Which number is not in the 5s row of the multiplication table?

A. 30B. 45C. 52D. 25

Even or odd

Find each product. Decide if it is even or odd.

The art room has these boxes of crayons. Find each product. Then sort the facts by whether the product is even or odd.

Lena paints 4 dots on each card. She says, "4 times any number is always even." Which reason shows that she is right?

A. Every number you multiply by 4 is even.B. 4 × a number = 2 × the number + 2 × the number. The product splits into two equal parts, so it is even.C. All products in the multiplication table are even.

Look at these products: 3 × 5 = 15, 7 × 9 = 63, 5 × 7 = 35.

An odd number times an odd number is always .

Look at these products: 2 × 7 = 14, 6 × 5 = 30, 3 × 8 = 24.

When one factor is even, the product is always .

Explain the pattern

Look closely at each pattern. Answer the questions.

10.

In the addition table, the doubles are 1 + 1, 2 + 2, 3 + 3, and so on.

The sums are 2, 4, 6, 8, , 12.
All of the doubles sums are numbers.

11.

The art teacher compares two rows of the multiplication table.
2s row: 2, 4, 6, 8, 10, 12
4s row: 4, 8, 12, 16, 20, 24
Which sentence is true?

A. Each number in the 4s row is 2 more than the number in the 2s row.B. Each number in the 4s row is 4 more than the number in the 2s row.C. Each number in the 4s row is double the number in the 2s row.

12.

Jamal counts stacks of paper by 5s: 5, 10, 15, 20, 25, 30, 35, 40. Look at the ones digits. What pattern do you see? Explain why it happens.