2 Area of a SquareThe area of a figure is the number of square units needed to cover the figure.The area of the square below is 16 square units because 16 square units are needed to COVER the figure...
3 Click to see if the answer found with the Area formula is correct! Area of a SquareThe area (A) of a square can be found by squaring its side length, as shown below:A = s2Click to see if the answer found with the Area formula is correct!A = 42 = 4 4= 16 sq.unitsThe area (A) of a square is labeled as square units, or units2, because you cover the figure with squares...4 units
4 What is the area of a square with sides of 5 inches? 1What is the area of a square with sides of 5 inches?A16 in2B20 in2C25 in2D30 in2Answer: C
5 What is the area of a square with sides of 6 inches? 2What is the area of a square with sides of 6 inches?A16 in2B20 in2C24 in2D36 in2Answer: D
6 If a square has an area of 9 ft2, what is the length of a side? 3If a square has an area of 9 ft2, what is the length of a side?A2 ftB2.25 ftC3 ftD4.5 ftAnswer: C
7 What is the area of a square with a side length of 16 in? 4What is the area of a square with a side length of 16 in?Answer: 256 sq in
8 What is the side length of a square with an area of 196 square feet? 5What is the side length of a square with an area of 196 square feet?Answer: 14 ft
9 When you square a number you multiply it by itself. 52 = = 25 so the square of 5 is 25.You can indicate squaring a number with an exponent of 2, by asking for the square of a number, or by asking for a number squared.What is the square of seven?What is nine squared?4981
10 Make a list of the numbers 1-15 and then square each of them. Your paper should be set up as follows:Number Square3(and so on)
11 Number SquareThe numbers in the right column are squares of the numbers in the left column.If you want to "undo" squaring a number, you must take the square root of the number.So, the numbers in the left column are the square roots of the numbers in the right column.
12 SquareRoot Square1 12 43 94 165 256 367 498 649 81The square root of a number is found by undoing the squaring. The symbol for square root is called a radical sign and it looks like this:Using our list, to find the square root of a number, you find the number in the right hand column and look to the left.So, the = 9What is 169?
13 Square PerfectRoot Square1 12 43 94 165 256 367 498 649 81When the square root of a number is a whole number, the number is called a perfect square.Since all of the numbers in the right hand column have whole numbers for their square roots, this is a list of the first 15 perfect squares.
14 Find the following.You may refer to your chart if you need to.
24 Squares of Numbers Greater than 20 Simplifying Perfect Squares Day 13Squares of Numbers Greater than 20AndSimplifying Perfect Squares
25 Think about this...What about larger numbers?How do you find ?
26 What pattern do you notice? It helps to know the squares of larger numbers such as the multiples of tens.102 = 100202 = 400302 = 900402 = 1600502 = 2500602 = 3600702 = 4900802 = 6400902 = 81001002 = 10000What pattern do you notice?Teacher Instructions: Number in tens place squared, then two zeros are added
27 For larger numbers, determine between which two multiples of ten the number lies. 102 = = 1202 = = 4302 = = 9402 = = 16502 = = 25602 = = 36702 = = 49802 = = 64902 = = 811002 = = 100Next, look at the ones digit to determine the ones digit of your square root.
28 Ends in nine so square root ends in 3 or 7 Try 53 then 57 532 = 2809 Examples:Lies between 2500 & 3600 (50 and 60)Ends in nine so square root ends in 3 or 7Try 53 then 57532 = 2809Lies between 6400 and 8100 (80 and 90)Ends in 4 so square root ends in 2 or 8Try 82 then 88822 = NO!882 = 774428097744Teacher Instructions: List of Squares102 = = 1202 = = 4302 = = 9402 = = 16502 = = 25602 = = 36702 = = 49802 = = 64902 = = 811002 = = 100