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Syllabus Title:
Integrated Math 3
Syllabus Description:

Integrated Math III completes the three courses sequence of Integrated Mathematics course. This year-long course addresses the Common Core Standards for Integrated Math III as described in the state framework. It brings together knowledge acquired in the previous two courses and uses it as a spring board to expand into more complex territory. Students will prepare for future advanced mathetmatics courses by expanding their knowledge of functions, right triangle trigonometry, and experiences with data as they solve sophisticated problems using critical thinking skills and mathematical modeling. Prerequisites: Succesful completion of Integrated Math 2.

Collection Semester:
New Semester Heading:
SEMESTER 1
New Unit Collection:
New Unit Heading:
Unit 1: Drawing Conclusions from Data
New Unit Content:
• Components of a Statistical Study
• Normal Distributions (Part 1)
• Normal Distributions (Part 2)
• Simulations Spinners
• Simulations Dice
• Margin of Error
• Inferences
New Unit Heading:
Unit 2: Linear Equations, Inequalities and Functions
New Unit Content:
• Transforming Functions
• Absolute Value Graphs
• Two-variable Inequalities
• Solving Systems of Equations Graphically
• Solving Systems of Equations Algebraically
• Systems of Inequalities
• Applications
New Unit Heading:
Unit 3: Polynomials and Polynomial Functions
New Unit Content:
• Polynomial Functions
• Adding, Subtracting Polynomials
• Multiplying Polynomials
• Dividing Polynomials
• Polynomials, Linear Factors and Zeros
• Solving Polynomial Equations
• Rational Roots Theorem
• Fundamental Theorem of Algebra
• Graphing Polynomials Functions
• Transforming Polynomial Functions
New Unit Heading:
Unit 4: Rational Expressions and Functions
New Unit Content:
• Simplifying Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions
• Adding and Subtracting Rational Expressions (Part 1)
• Adding and Subtracting Rational Expressions (Part 2)
• Graphing Rational Functions (Part 1)
• Graphing Rational Functions (Part 2)
• The Reciprocal Function Family
New Semester Heading:
SEMESTER 2
New Unit Collection:
New Unit Heading:
Unit 5: Roots and Radicals Functions
New Unit Content:
• Roots and Radical Expressions
• Multiplication and Division of Radical Functions
• Binomial Radical Expressions
• Rational Exponents
• Solving Square Root
• Function Operations
• Inverse Relations and Functions
• Graphing Radical Functions
New Unit Heading:
Unit 6: Exponential and Logarithmic Functions
New Unit Content:
• Exploring Exponential Models
• Properties of Exponential Functions
• Exponential Functions and Their Inverses
• Logarithms and Their Graphs
• Properties of Logarithms
• Change of Base
• Exponential and Logarithmic Equations
New Unit Heading:
Unit 7: Trigonometric Functions
New Unit Content:
• Exploring Periodic Data
• Angles and the Unit Circle
• Radian Measure
• The Sine Function
• The Cosine Function
• Translating Sine and Cosine Functions
• The Tangent Function
• Reciprocal Trigonometric Functions
New Unit Heading:
Unit 8: Applying Geometric Concepts
New Unit Content:
• Exploring Density and Design
• Perimeter and Areas of Similar Figures
• Geometric Probability
• Rotations and Cross Sections
• A New Look at Parabolas
• Circles in the Coordinate Plane