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MULTIPLICATION PATTERNS • SQUARES • AREA • SQUARE ROOTS BY: Philip Collins Created for Mathese-2D 2007 VOCABULARY Array-------numbers or symbols arranged in row or columns Area---------number of square units needed to cover a surface. Row-------a line in the horizontal Column-------a line in the vertical VOCABULARY CONTINUED square root--------one of two equal factors of a number. square number--------The product when a whole number is multiplied by itself. MULTIPLICATION PATTERNS One way to think of multiplication patterns is by using an array. Remember that an array is an arrangement of numbers or symbols in columns or rows. ARRAYS 6 columns XXXXXX XXXXXX 2 rows This array is a collection of 2 rows and 6 columns XXXXX XXXXX XXXXX XXXXX How many rows does this array have?__________ How many columns does this array have?_______ How many X’s are in this array?_____ XXXXX XXXXX XXXXX XXXXX What multiplication problem can we make with this array? Because we have 4 rows and 5 columns We make the problem 4 x 5 = 20 Let’s practice array pattern AREA What would the area if this shape be? Lets say that each side of a small square is 1 cm. There are four rows 1 2 3 4 and five columns 1 2 3 4 5 We will multiply 4 and 5. The answer 1 will be written in square units. 2 We are using cm so the 3 answer will be 4 2 3 4 5 20 square cm 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 REVIEW AREA LESSON Area lesson SQUARES AND SQUARE ROOTS A square is a rectangle that has equal sides. 1 1 2 2 by 2 2 1 2 2 3 by 3 3 3 If a shape is 3 by 3, then we can say that it has a square number of 9. Because 3x3=9. We will write the number under square root sign. It means the square root of. If a problem asks for the square root of 9 then we think of the 1 2 3 Problem 3x3. Our answer will be 3. 4 7 9 5 6 8 9 SOLVE THE PROBLEMS Lets Practice square root problems