Presentation on theme: "Presented by Mr. Laws 8th Grade Math, JCMS"— Presentation transcript:
1 Presented by Mr. Laws 8th Grade Math, JCMS Square RootsPresented by Mr. Laws8th Grade Math, JCMS
2 CCSS Goal/Objective8.EE.2 – Use square root and cube root symbols to represent solutions to equations of the form x2=p and x3=p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.
3 Essential Question(s): Using a math principle, how can we find the square root of a number; estimate the square root of number between two consecutive integers; and simplify irrational square roots?
4 16 = 4 What is a square root? Radical sign Radicand index Square Root 4 roots16 sq. ftRadical sign indicates a root.Radicand is the number under the radical sign.Index displays the root of an expression.The square root of a number is a number when multiplied by itself equals the radicand.
5 Square Roots Square roots are also written as this: The square root of 16 can be positive or negative 4 because:Only the Radical sign is negative!No answer!!, Why?
6 Perfect SquaresPerfect squares are square roots when multiplied by itself will equal an integer.Perfect squares are rational numbers.Examples:
7 Non-perfect SquaresNon-perfect squares are square roots that are irrational numbers.Calculators are also another way you can identify non-perfect squares.Examples:Approx. to the nearest 10thApprox. to the nearest 100th
8 Estimating Square Roots You can also estimate square roots between two consecutive integers.Example: Find two consecutive integers between the value ofThe is between the perfect squares of 64 and 81: andThe two consecutive #’s that falls between theis 8 and 9.
9 Estimating Square Roots Estimate the value ofCreate a number line with the two consecutive numbers:88.59Where does it go ?
10 Practice: 1. Find ea. square root. a. b. c. d. e. 2. Between what two consecutive integers does the following sq. roots lies?f.g.h.i.j.3. Estimate the value of the following square roots (Round to nearest 10th:k.l.m.n.0.
11 Question Review and Summary Take a look over your notes; add questions you may have missed.Write down some important facts about the lesson.Summarized the lesson.Is there something you don’t understand about the lesson?Can you answer the essential question?