Plan For Today:

1. Hand-in Corrections for Chapter 1 Test (1/2 marks for all corrections added to test total)AND hand-in the Simplifying Radicals Puzzle - DUE TODAY2. Continue working on Chapter 2 Radicals

Review 2.3 (matching activity)

Do 2.3 Check-in Quiz (this is for marks today)

Go over 2.5

Plan Going Forward:

1. Finish any questions in the worktext by next class.2. Chapter 2 Test/Quiz is on Tuesday, Oct. 5th - not 2.4 Graphing and solving questions3. The solving radicals maze is not for marks and will not be collected.4. Do the matching radical operations activity at home (not for marks) - answer key will be posted on my weebly site.

NO SCHOOL THURSDAY, SEP. 30TH = TRUTH AND RECONCILIATION DAY (Orange Shirt Day)

Please let me know if you have any questions or concerns about your progress in this course. The notes from today will be posted at anurita.weebly.com after class.

Tuesday, Sep. 28th

Ch2 Page 1

2.3 Review & Check-in Quiz (for marks)

Ch2 Page 2

Ch2 Page 3

Ch2 Page 4

Recall: radicals have restrictions (non-permissible values) for which the variables in the radicand are not defined. Steps:

1. arrange the terms so that the radical (or radical and it's coefficient) are on one side of the equal sign and all other terms are on the other side of the equal sign2. take the radicand and write an inequality were the radicand is greater than or equal to zero3. solve for the variable and write the final restriction for the radical equation.4. solve the radical normally5. check solutions with the restrictions and reject any extraneous roots.

2.5 Solving Radical Equations (2.4 Solving Graphically if time - otherwise next class)

Ch2 Page 5

Solve radical equations using the Principle of Powers and always CHECK your solutions in the equation to verify solutions and find any extraneous roots.

Principle of Powers basically means square both sides of the equation and simplify.

Ch2 Page 6

Solving equations with TWO radicals and another term or other terms:Here you will do the Principle of Powers (square both side) TWICE•

Ch2 Page 7

Ch2 Page 8

Extra Help: https://courses.lumenlearning.com/beginalgebra/chapter/7-3-1-solving-radical-equations/

Ch2 Page 9

Ch2 Page 10

You can use your technology to solve any equation by doing the following: Method 1 steps:

1. Leave the equation as it is and use your method for determining the restrictions2. Type one side of the equation in y1 and the other side of the equal sign into y2 , adjust the window settings and press "graph". To solve, determine the x-intercepts.

Shift (2nd function) -> Trace (for Calc) -> select 2: for zeros -> →Move cursor to left side of x-intercept and press enter. Do the same for the right side. Press enter for the guess.

→

The x-coordinate is the solution.→

Method 2 steps:1. Move all terms to one side of the equal sign and make the equation equal zero.2. Type the equation in y1 and adjust the window settings and press "graph". To solve, determine the intercepts between the graphs.

Shift (2nd function) -> Trace (for Calc) -> select 5:intercept -> →Move the cursor on top of the intercepts→Press "Enter" on your calc. three times to finish answering their questions.

→

The x-coordinate is the solution.→

2.4 Solving Radicals Graphically (NOT ON CH2 TEST)

Ch2 Page 11

Ch2 Page 12