8 TH GRADE GEO 1 MRS S BROWN

8 TH GRADE GEO 1 MRS. S. BROWN

DAY 1: SQUARE AND SQUARE ROOTS ( THIS IS REVIEW) • A SQUARE ROOT GOES THE OTHER WAY: • 3 SQUARED IS 9, SO A SQUARE ROOT OF 9 IS 3 • A SQUARE ROOT OF A NUMBER IS. . . A VALUE THAT CAN BE MULTIPLIED BY ITSELF TO GIVE THE ORIGINAL NUMBER. • A SQUARE ROOT OF 9 IS. . . 3, BECAUSE WHEN 3 IS MULTIPLIED BY ITSELF WE GET 9.

SQUARE AND SQUARE ROOTS • PERFECT SQUARES • THE PERFECT SQUARES (ALSO CALLED "SQUARE NUMBERS") ARE THE SQUARES OF THE WHOLE NUMBERS:

PERFECT SQUARE LIST Square Root Perfect Squares List Positive Integer Squared= of Perfect Square= Original Integer 1 1 ^2 = 1 √ 1 = 1 2 2 ^2 = 4 √ 4 = 2 3 3 ^2 = 9 √ 9 = 3 4 4 ^2 = 16 √ 16 = 4 5 5 ^2 = 25 √ 25 = 5 6 6 ^2 = 36 √ 36 = 6 7 7 ^2 = 49 √ 49 = 7 8 8 ^2 = 64 √ 64 = 8 9 9 ^2 = 81 √ 81 = 9 10 10 ^2 = 100 √ 100 = 10 11 11 ^2 = 121 √ 121 = 11 12 12 ^2 = 144 √ 144 = 12

IMPERFECT SQUARES •

DAY 2: SQUARES ROOTS PART 2 •

THIS WILL NOT WORK FOR ALL IMPERFECT SQUARES •

SOLVING EQUATIONS WITH SQUARE ROOTS •

MORE EXAMPLES PERFECT SQUARES • IMPERFECT SQUARE •

DAY 3: RIGHT TRIANGLES A RIGHT ANGLED TRIANGLE (ALSO CALLED A RIGHT TRIANGLE) IS A TRIANGLE WITH A RIGHT ANGLE (90°) IN IT. The little square in the corner tells us it is a right angled triangle (I also put 90°, but you don't need to!)

PARTS OF A RIGHT TRIANGLE The two sides that form the right angle are called the legs. The side that is across or adjacent to the right angle is called the hypotenuse.

VARIABLES THAT REPRESENT THE SIDES The Legs are always labeled with a and b. The Hypotenuse is always labeled c.

VALUES OF EACH PART OF THE RIGHT TRIANGLE In this example Legs: a=4 b= 3 Hypotenuse c=5

DAY 4: PYTHAGOREAN THEOREM •

THIS FORMULA WORKS FOR ALL RIGHT TRIANGLES •

IS IT A RIGHT TRIANGLE? EXAMPLE 1 EXAMPLE 2 13 6 2 5 12 3

VIDEO AND PRACTICE • HTTPS: //WWW. YOUTUBE. COM/WATCH? V=NQL 13 ZZ 2 JOS