Mathematics 2201 Intervention Resources

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### Unit 1: Inductive and Deductive Reasoning

- Introduction to Inductive and Deductive Reasoning
- Making Conjectures using Inductive Reasoning
- Proving False Conjecture using a Counter example
- Inductive and Deductive Reasoning with Odd and Even Integers
- Inductive and Deductive Reasoning Consecutive Integers
- Magic Trick with Inductive and Deductive Reasoning
- Fallacious Proof 2=1

### Unit 3: Properties of Angles And Triangles

- Angle Types in Parallel Lines Cut by a Transversal
- Proving Sum of Angles in a Triangle Equal 180 using Parallel Lines
- Contextual Problem Involving Parallel Lines
- Finding Missing Measures in a Triangle Using Angle Properties Part One
- Finding Missing Measures in a Triangle Using Angle Properties Part Two
- Finding Missing Measures in a Triangle Using Angle Properties Part Three
- Solving a Missing Measure using Angle Properties and Algebra
- Formula for the Sum of the Angles in a Polygon
- Introduction to SSS SAS ASA AAS Theorems
- Two Column Proof
- Proving Triangles Congruent using ASA
- Two Column Proof of Triangles using SSS
- Reasoning Error in a Two Column Proof
- Proof in Paragraph Form
- Two Column Proof in Paragraph Format

### Unit 4: Acute Triangle Trigonometry

- Conditions for Choosing Law of Sines
- Using Law of Sines to Solve a Missing Side Example One
- Using Law of Sines to Solve a Missing Side Example Two
- Using Law of Sines to Solve a Missing Angle
- Word Problem using Law of Sines
- Conditions for Choosing Law of Cosines
- Using Law of Cosines to Solve a Missing Side
- Using Law of Cosines to Solve a Missing Angle
- Word Problem using Law of Cosines
- Solving a Triangle

### Unit 5: Radicals

- Review of Perfect Squares and Perfect Cubes
- Entire Radical to Simplest Radical Form using Perfect Squares and Cubes
- Entire Radical to Simplest Radical Form using Factor Trees Square Roots
- Entire Radical to Simplest Radical Form Using Factor Trees Cube Root
- Mixed to Entire Radical Square Root
- Mixed to Entire Radical Cube Root
- Adding and Subtracting Expressions with Like Radicals
- Adding and Subtracting Expressions with Unlike Radicals Square Roots
- Adding and Subtracting Expressions with Unlike Radicals Cube Root
- Multiplying Radicals Introduction
- Multiplying Radicals using the Distributive Property Part 1
- Multiplying Radicals with the Distributive Property Part 2
- Multiplying Radicals with the Distributive Property Part 3
- Multiplying Radicals with the Distributive Property Part 4
- Dividing Radicals Introduction
- Dividing Radicals by Rationalizing the Denominator Part 1
- Dividing Radicals by Rationalizing the Denominator Part 2
- Adding and Subtracting Algebraic Expressions with Radicals
- Multiplying Radicals with Variables and Restrictions
- Multiplying Radicals with Variables FOIL and Restrictions
- Dividing Radicals with Variables and Restrictions
- Dividing Radicals by Rationalizing the Denominator and Stating Restrictions
- Radicals with Variables Even Exponents
- Radicals with Variables Odd Exponents
- Radicals with Variables Even and Odd Exponents
- Restrictions on a Radical with a Variable
- Solving Radical Equations Part 1
- Solving Radical Equations Part 2

### Unit 6: Statistical Reasoning

- Mean Median Mode and Range
- Using Standard Deviation to Measure Dispersion
- Introduction to the Normal Curve
- Calculating Percentages From a Normal Curve
- Introduction to the Standard Normal Curve
- Using Z-Score Formula to Determine a Z_Score
- Using Z-Score to find Missing Value
- Using Z-Scores to Find Percentages to the Right of a Z-Score
- Using Z-Scores to Find Percentages Above and Below a Z-Score
- Confidence Intervals

### Unit 7: Quadratic Functions

- Characteristics of Base Quadratic Function
- Characteristics of Standard Form of a Quadratic Function
- Graphing Base Quadratic Function
- Domain and Range
- Graphing Quadratic Functions in Standard Form
- Domain and Range for Quadratic Functions in Standard Form with a Negative "a" Value
- Domain and Range for Quadratic Functions in Standard Form with a Positive "a" Value
- Graphing Quadratic Functions in Vertex Form
- Domain and Range for Quadratic Functions in Vertex Form with a Negative "a" value
- Graphing Quadratic Functions in Factored Form
- Domain and Range for Quadratic Functions in Factored Form
- Maximum Minimum Problem Involving Area
- Maximum Minimum Problems Involving Projectile Motion
- Maximum Minimum Problems Involving Revenue
- Projectile Motion Word Problem
- Word Problem Involving Graphing the Vertex Form of a Quadratic Function

### Unit 8: Quadratic Equations

- Graphing a Function using a Table of Values
- Nature of Roots
- GCF Product and Sum and Difference of Squares Factoring Examples
- GCF Product and Sum and Difference of Squares Factoring (More) Examples
- Box Method
- Factoring using Guess and Check
- Decomposition
- Examples of Solving by Factoring (Easy)
- Examples of Solving by Factoring (Challenging)
- Creating Exact Values using the Quadratic Formula
- Word Problems using the Quadratic Formula
- Word Problem Involving Extraneous Values

### Unit 9: Proportional Reasoning

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