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GKT101: General Knowledge for Teachers – Math
Sections
Course Introduction
Course Syllabus
Unit 1: Review of Numbers and Operational Expressions
Unit 2: Geometry and Measurement
Unit 3: Algebra
Unit 4: Probability and Statistics
Course Feedback Survey
Certificate Final Exam
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GKT101: General Knowledge for Teachers – Math
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General Knowledge for Teachers
GKT101: General Knowledge for Teachers – Math
Sections
Unit 3: Algebra
3.4: Quadratic Equations
The Quadratic Formula
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The Quadratic Formula
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Watch these videos and complete the interactive exercises.
Solving quadratics by factoring: leading coefficient ≠ 1
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Course Syllabus
Practice with Whole Numbers
Practice with Integers
Practice with the Language of Algebra
Practice with Fractions and Decimals
Practice with Percents
Practice with Real Numbers
Practice with Integer Exponents and Scientific Notation
Practice with Operations
Practice with Solving Word Problems
Unit 1 Assessment
Defining Lines, Rays, and Segments
Angles as Geometric Shapes
Classifying Angles
Classifying Pairs of Angles
Practice with Lines and Angles
Triangles
Right Triangles
Congruence of Triangles
Practice with Triangles
Practice with Congruent Triangles
Quadrilaterals
Review of Quadrilaterals
Circles
Practice with Quadrilaterals
Three-Dimensional shapes
Symmetry
Geometric Transformations
Translations
Defining Similarity
Similarity of Triangles
Solving Similar Triangles
Application of Similar Triangles
Practice with Similar Triangles
Perimeter
Area of Rectangles
Area of Parallelograms
Area of Triangles
Circumference and Area of a Circle
Surface Area
Volume
Volume of Three-Dimensional Shapes
Practice with Area and Perimeter
Practice with Surface Area
Practice with Volume of Solids
Units of Length
Units of Volume
Units of Mass or Weight
Converting Units of Length
Converting Units of Time
Converting Units of Volume
Converting Units of Mass
Unit Conversions
Extra Practice with Unit Conversions
Practice with Dimensional Analysis
Unit 2 Assessment
Review of Variables
Simplifying Algebraic Expressions
Practice with Simplifying Algebraic Expressions
Translating English to Math
Knowledge check
Knowledge check
Reviewing Equations
Reviewing One-Step Equations
More Review of One-Step Equations
Two-step equations
Equations with variables on both sides
Equations with parenthesis
Applications of Linear Equations
Mixture Problems
Practice with General Linear Equations
Practice with Number and Geometry Problems
Review of Inequalities
Review of One-Step Inequalities
Two-step Inequalities and Their Applications
General Inequalities and Their Applications
Practice with Solving and Graphing Inequalities
Practice with Applications of Linear Inequalities
More on the Quadratic Formula
Applications of Quadratic Equations
Practice with the Quadratic Formula
Practice with Quadratic Applications
Review of the Coordinate Plane
Linear Equations in Two Variables
Slope
Intercept
Applications of Slope and Intercept
Graphing Slope-Intercept Equations
Writing Slope-Intercept Equations
Point-Slope Form
Standard Form
Forms of linear equations: summary
Practice with Graphs
Introduction to Parabolas
Graphing Quadratic Equations in Vertex Form
Graphing Quadratic Equations in Standard Form
Practice with Graphing Quadratic Equations
Identifying Functions
Evaluating Functions
Practice with Functions
Unit 3 Assessment
Introduction to Representing Data
Stem-and-Leaf Plots
Picture Graphs, Bar Graphs, and Histograms
Frequency Tables and Dot Plots
How to Represent Data
Practice with Representing Data
Misrepresenting Data
Practice with Data Representation
Mean, Median, and Mode
Problems Involving Mean and Median
Practice with Measures of the Center of Data
More Practice with Measures of the Center of Data
Measures of Dispersion
Practice with Measures of Dispersion
Introduction to Probability
Compound Probability of Independent Events
Independent and Dependent Events
Practice with Dependent Events and Sample Spaces
Practice with Conditional Probability
Sampling and Observational Studies
Types of Studies
Experimental Design and Ethics
Practice with Experimental Design and Ethics
More Practice with Experimental Design and Ethics
Unit 4 Assessment
Course Feedback Survey
GKT101: Certificate Final Exam
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