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8 NS L2 existance of square and cube roots.notebook LT: I will write and solve equaƟons having square and cube roots. January 30, 2016 EQ: Does every number have a square root and a cube root? C C3B4UCME M by permisson only S 1 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Complete opening exercises pg. 11. C H A M P S voice: L1 task related C3B4UCME A/B partner by permisson only persevere, engaged task completed 2 8 NS L2 existance of square and cube roots.notebook January 30, 2016 n not to be confused with ) 3 8 NS L2 existance of square and cube roots.notebook make a table in your journal for your reference. January 30, 2016 x x2 x3 1 1 1 2 4 8 3 4 5 6 7 8 9 10 4 8 NS L2 existance of square and cube roots.notebook January 30, 2016 5 8 NS L2 existance of square and cube roots.notebook January 30, 2016 6 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Example: x2=36 a. explain the first step. Take the square root of both sides of the equality. b. solve the equaƟon and check your answer. √x2=√36 C x=√36 x=6 because 62=36 M S 7 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Example a. Explain the first step take the cube root of each side of the equality. b. Solve the equaƟon and check your answer. x= 8 x= 8 C x=2 because23=2(2)(2)=8 M S 8 8 NS L2 existance of square and cube roots.notebook Example: split it apart rewrite the negaƟve exponent as its posiƟve reciprocal opƟonal step January 30, 2016 square root each side of the equality simplify the radicals C M S 9 8 NS L2 existance of square and cube roots.notebook January 30, 2016 I first took the square root of each side of the equality. I showed each step. I checked my answer. C Assignment: Lesson 3 pg. 12-14 exercises 1-9; problem set 1-9 M S 10 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Exit Ticket Find the positive value of x that makes each equation true. Check your solution. 1 x2 = 225 a. Explain the first step in solving this equation. b. Solve and check your solution. 2 x3 = 512 3 x2 = 361-1 11 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Complete exercises 1-9 and problem set 1-9. 12 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Close: every posiƟve number has a square root. We can solve equaƟons having square root soluƟons by taking the square root of both sides. 13 8 NS L2 existance of square and cube roots.notebook January 30, 2016 Know that there are numbers that are not rational, and approximate them by rational numbers. 1. Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. 2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π2). Work with radicals and integer exponents. 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. Know that √2 is irrational. LT: I will write and solve equaƟons having square and cube roots. EQ: Does every number have a square root and a cube root? 14 8 NS L2 existance of square and cube roots.notebook January 30, 2016 LT: I will write and solve equaƟons having square and cube roots. EQ: Does every number have a square root and a cube root? 4 min: Identify the slope and y-intercept of several equations 4 min: vocabulary game: where is the slope in the equation? 6 min: completing a table; determine slope from data in a table 3 min: creating a graph using the y-intercept and slope 3 min: exit ticket 12 min: guided practice 1 min: close 1 min: pack up home 15