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Honors Geometry
Name:_____________________________
“Radical Expressions and Equations”
Algebra- Chapter 10 Assignment Sheet
****HOMEWORK WILL BE COLLECTED ON DAY 10!!!!!****
Day
Section
Learning Targets
Assignment
Completion
Stamp
Corrections
Made
1
10.2
· Students will be able to simplify square roots with perfect square radicands
· Students will be able to simplify square roots without perfect square radicands
· Students will be able to simplify radical expressions containing variables with even exponents
Worksheet
#1
2
10.2
· Students will be able to multiply radicals
· Students will be able to simplify radical expressions containing variables with odd exponents
Worksheet
#2
3
10.2
· Students will be able to divide radicals
· Students will be able to simplify square roots by rationalizing the denominator
Worksheet
#3
4
Day 1 – Day 3 Review
Worksheet
#4
5
QUIZ (10.2)
6
10.3
· Students will be able to simplify radical expressions involving addition and subtraction
Worksheet
#6
7
Day 1 – Day 6 Review
Worksheet
#7
8
10.3
· Students will be able to simplify radical expressions involving foil and the distributive property
Worksheet
#8
9
10.4
· Students will be able to solve radical equations
Worksheet
#9
10
QUIZ (10.3-10.4)
****HOMEWORK COLLECTION!!!!****
11
Chapter 10 Review
Worksheet #11
12
Chapter 10 Review
Worksheet #12
13
Chapter 10 Test
Totals
/16
/16
PRACTICE TOTAL
/32
This is an outline. The assignments/quizzes/tests are subject to change.
Algebra – Day 1 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.2
Warm-up: List the first 12 perfect squares:
Simplify Square Roots
Learning Targets:
· Students will be able to simplify square roots with perfect square radicands
· Students will be able to simplify square roots without perfect square radicands
· Students will be able to simplify radical expressions containing variables with even exponents
Radical Expression: _________________________________________________________________________
Examples of Radical Expressions: You make up one: ______________
How to know if a Radical expression is simplified: The following must be TRUE!
1. The radicand has no perfect-square factors other than 1.
2. The radicand contains no fractions.
3. No radicals appear in the denominator of a fraction.
Simplifying Radicals with Perfect Square Radicands:
1.
2.
3.
Simplifying Radicals without Perfect Square Radicands:
(MULTIPLICATION RULE OF SQUARE ROOTSFor and , Example: )
1.
2.
3.
Simplifying Radicals containing Variables with Even Exponents:
1.
2.
3.
Simplifying Multiple Radicals
1.
2.
3.
You Try it!
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
ASSIGNMENT: ASSIGNMENT #1
Chapter 10Date Period
Assignment #1
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra – Day 2 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.2
Warm-up: Simplify the Radical Expressions.
1.
2.
3.
Multiply & Simplify Radicals
Learning Targets:
· Students will be able to multiply radicals
· Students will be able to simplify radical expressions containing variables with odd exponents
Multiplying Radicals:
1.
2.
Simplifying Radicals containing Variables with Odd Exponents:
1.
2.
Simplify:
1.
2.
3.
You Try it!
1.
2.
3.
4.
5.
6.
7.
8.
9.
ASSIGNMENT: ASSIGNMENT #2
Algebra 361Name
Chapter 10Date Period
Assignment #2
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra – Day 3 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.2
Warm-up: Simplify the Radical Expressions.
1.
2.
3.
Divide & Rationalize Radicals
Learning Targets:
· Students will be able to divide radicals.
· Students will be able to simplify square roots by rationalizing the denominator.
(DIVISION RULE OF SQUARE ROOTSFor and , Example: )
Dividing Radicals:
1.
2.
3.
Simplify by Rationalizing the Denominator:
· Simplify as much as possible FIRST!!!
· Rationalize the denominator by multiplying the numerator & the denominator by the radical in the denominator.
(NO SQUARE ROOTS IN THE DENOMINATOR!!!)1.
2.
3.
4.
5.
You Try it!
1.
2.
3.
4.
5.
6.
ASSIGNMENT: ASSIGNMENT #3
Algebra 361Name
Chapter 10Date Period
Assignment #3
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra 361Name
Chapter 10Date Period
Assignment #4
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19.20.
Algebra – Day 6 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.3
Simplify Radical Expressions Involving Addition & Subtraction
Learning Targets: Students will be able to simplify radical expressions involving addition and subtraction.
*You can combine LIKE RADICALS!!
Example of like radicals:Example of unlike radicals:
and and
CAN COMBINE CAN’T COMBINE
(Can we simplify ?)
Simplify the Radical Expressions:
1.
2.
3.
4.
5.
6.
You Try it!
1.
2.
3.
4.
5.
6.
ASSIGNMENT: ASSIGNMENT #6
Algebra 361Name
Chapter 10Date Period
Assignment #6
Simplify.
1. +2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
21. 22.
Algebra 361Name
Chapter 10Date Period
Assignment #7
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra – Day 8 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.3
Warm-up: Simplify the Radical Expressions.
1.
2.
3.
Simplify Radical Expressions Involving FOIL & the Distributive Property
Learning Targets: Students will be able to simplify radical expressions involving foil and the distributive property.
Simplify using the Distributive Property
1.
Simplify using FOIL
2.
3.
4.
5.
6.
You Try it!
1.
2.
3.
4.
5.
6.
ASSIGNMENT: ASSIGNMENT #8
Algebra 361Name
Chapter 10Date Period
Assignment #8
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra – Day 9 NotesName___________________________
Ch 10 Radical Expressions and Equations
Section 10.4
Warm-up: Simplify the Radical Expressions.
1.
2.
Solve Radical Equations
Learning Targets: Students will be able to solve radical equations.
Solve the Radical Equation by Isolating the Radical:
Solving with Radical Expressions on Both Sides of the Equation:
Solve the Radical Equations:
1.
2.
3.
4.
You Try it!
1.
2.
3.
4.
5.
6.
ASSIGNMENT: ASSIGNMENT #9Algebra 361Name
Chapter 10Date Period
Assignment #9
Solve for x.
1. 2.
3. 4.
5. 6.
7. 8.
Review.
9. 10.
11. 12.
13. 14.
15. 16.
17. 18.
19. 20.
Algebra 361Name
Chapter 10Date Period
Assignment #11
Learning Target: Students will be able to simplify square roots.
Simplify.
1. 2.
3. 4.
5. 6.
7. 8.
9. 10.
11. 12.
13. 14.
15. 16.
_____ Got it_____Needs work_____ No clue
Learning Target: Students will be able to solve radical equations.
Solve for x.
17. 18.
19. 20.
_____ Got it_____Needs work_____ No clue
Like Radicals
(have the same radicand)
Unlike Radicals
(have different radicands)
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