Unit 1
Algebra II – Trig MA4300
1-1 Apply Properties of Real Numbers
1-1 Objectives:
 Recall the representing the Real Numbers and its subsets.
 Recall ordering Real Numbers .
 Recall the basic rules and properties of algebra.
 Recall how to write any terminating or repeating decimal as a fraction.
1-1 Activities:
 Use Number Sets PPT to take notes on the subsets of the Real Numbers.
 Use a Venn-Diagram to illustrate the relationship of the number sets that
make up the Real Numbers.
 Online activities on Webpage to discover and review basic concepts
1-1 Assessments:
 Do-nows to assess student understanding of basic concepts.
 Homework assignments
1-1 Worksheet packet
 Ongoing Review Exercises to spiral learned concepts.
Web Resources
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Evolution of Numbers – explains how real numbers evolved from other number
sets with an online quiz to access understanding.
http://www.mathsisfun.com/numbers/evolution-of-numbers.html
Quia Activity on Properties of Numbers
http://www.quia.com/jg/720701.html
1-2 Evaluate and Simplify Algebraic Expressions
1-2 Objectives:
 Recall laws of exponents.
 Evaluate algebraic expressions using order of operations (PEMDOAS).
1-2 Activities:
 Review laws of exponents from the summer packet
P-2 Assessments:
 Do-nows to assess understanding of basic concepts
 Summer Packet Assessment
 Ongoing Review Exercises to spiral learned concepts
Web Resources
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Online practice with Exponents
http://www.ltcconline.net/greenl/java/BasicAlgebra/ExponentRules/ExponentR
ules.html
Online practice with Exponents
http://math.uww.edu/~mcfarlat/141/expo1.htm
Cool Math – x3 Algebra 2 Exponent and Radical Review Plus (Scroll down to
middle of page)
http://www.coolmath.com/algebra/Algebra2/index.html#Algebra_2:_Exponen
ts_&_Radicals_Review_Plus
4-5 Simplifying Radicals
4-5 Objectives:
 Simplify and rationalize square roots.
 Perform operations with radicals.
4-5 Activities:
 Students will complete a “perfect square” WS.
 Students will complete a foldable containing the rules and examples for
performing operations with radicals.
4-5 Assessments:
 Do-now WS to assess understanding of simplifying radicals
 Homework assignments:
4-5 Radicals WS packet
 Quiz 4-5 (Simplifying & Operations with Radicals)
 Communicator activities to review basic concepts.
 Ongoing Review Exercises to spiral learned concepts.
4-6 Complex Numbers
4-6 Objectives:
 Use the imaginary number i to write complex numbers
 Evaluate powers of i.
 Perform operations with complex numbers
4-6 Activities:
 Students will complete a guided practice to evaluate the powers of i.
 Students will complete a guided practice to simplify and perform
operations with complex numbers.
4-6 Assessments:
 Do-now WS to assess understanding of basic concepts.
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Homework assignments
Powers of i, simplifying, & operations of complex numbers WS
Quiz 4-6 (Simplifying and Operations with Complex Numbers)
Communicator activities to review basic concepts.
Ongoing Review Exercises to spiral learned concepts.
Complex Number Enrichment Project
Web Resources
 Complex Numbers Tutorial: Purple Math
http://www.purplemath.com/modules/complex.htm
 Glencoe Practice Quiz – complex #s
http://www.glencoe.com/sec/math/studytools/cgibin/msgQuiz.php4?isbn=0-07-8279992&chapter=5&lesson=9&headerFile=10&state=nj
 Quia activity: Imagine That, http://www.quia.com/rr/122161.html
1-3 Solve Linear Equations
1-3 Objectives:
 Use appropriate methods to solve equations.
 Determine when an equation does not have a solution or when there are
many solutions.
 Use graphing calculator to identify solutions of linear equations.
 Use linear equations to solve real-life problems.
1-3 Activities:
 Guided practice to solve multi-step equations and those involving
fractions.
1-3 Assessments:
 Do-nows to assess understanding of basic concepts
 Solving linear equations in the Summer Packet
 Homework assignments
1-3 Solving Equations WS
1-3 Word Problems WS
 Quiz 1-3 to 1-6 (Solving Equations, Literals, Inequalities, & Word Prob.)
 Ongoing Review Exercises to spiral learned concepts.
1-4 Rewrite Formulas and Equations (Solving Literal Equations)
1-4 Objectives:
 Solve equations for a given variable.
1-4 Activities:
 Recall formulas used previously to solve for a given variable.
 Use Physics problems to solve for given variables.
1-4 Assessments:
 Do-nows to assess understanding of basic concepts
 Homework assignments
1-4 Practice WS
1-4 Physics Formulas WS
 Quiz 1-3 to 1-6 (Solving Equations, Literals, Inequalities, & Word Prob.)
 Ongoing Review Exercises to spiral learned concepts.
Web Resources
 Classzone PPTS 1.4 Literal Equations Examples 1-4 from book
 Solving Literal Equations Tutorial w/practice
http://www.regentsprep.org/regents/math/formulas/litless.htm
1-5 Use Problem Solving Strategies and Models (Word Problems)
1-5 Objectives:
 Write and solve equations to solve real-life problems.
1-5 Activities:
 Group work to solve word problems
1-5 Assessments:
 Do-nows to assess understanding of basic concepts
 Homework assignments
1-5 Practice Word Problem WS
 Quiz 1-3 to 1-6 (Solving Equations, Literals, Inequalities, & Word Prob.)
 Ongoing Review Exercises to spiral learned concepts.
1-6 Solve Linear Inequalities
1-6 Objectives:
 Solve linear inequalities and solve real-life problems involving inequalities.
 Solve compound inequalities.
1-6 Activities:
 Use online resource to review solving linear inequalities and complete WS.
1-6 Assessments:
 Do-nows to assess understanding of basic concepts
 Homework assignments
1-6 Practice WS
 Quiz 1-3 to 1-6 (Solving Equations, Literals, Inequalities, & Word Prob.)
 Ongoing Review Exercises to spiral learned concepts.
1-7 Solve Absolute Value Equations and Inequalities
1-7 Objectives:
 Solve absolute value equations and inequalities.
1-7 Activities:
 1-7 Guided practice problems
1-7 Assessments:
 Do-nows to assess understanding of basic concepts
 Homework assignments
1-7 Practice WS
 Quiz 1-7 (Solving Absolute Value Equations & Inequalities)
 Ongoing Review Exercises to spiral learned concepts.
Web Resources:
 Regentsprep
http://www.regentsprep.org/Regents/math/solvin/PSolvIn.htm
 Solving Linear Inequalities & Compound Inequalities
 Absolute Value Equations
 Absolute Value Inequalities
Chapter 1 Review
Chapter 1 Test