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GKT101: General Knowledge for Teachers – Math

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Practice with Whole Numbers

COURSE INTRODUCTION

Course Syllabus

Unit 1: Review of Numbers and Operational Expressions

1.1 Whole Numbers, Integers and Absolute Value

Practice with Whole Numbers

Practice with Integers

1.2: Factors and Multiples, Prime and Composite Numbers, and Divisibility Rules

Practice with the Language of Algebra

1.3: Fractions, Decimals, and Percentages

Practice with Fractions and Decimals

Practice with Percents

1.4. Real Numbers: Rational and Irrational

Practice with Real Numbers

1.5: Exponents and Scientific Notation

Practice with Integer Exponents and Scientific Notation

1.6: Operations with Rational Numbers

Practice with Operations

1.7: Word Problems

Practice with Solving Word Problems

Unit 1 Assessment

Unit 1 Assessment

Unit 2: Geometry and Measurement

2.1: Lines and Angles

Defining Lines, Rays, and Segments

Angles as Geometric Shapes

Classifying Angles

Classifying Pairs of Angles

Practice with Lines and Angles

2.2: Triangles

Triangles

Right Triangles

Congruence of Triangles

Practice with Triangles

Practice with Congruent Triangles

2.3: Quadrilaterals and Circles

Quadrilaterals

Review of Quadrilaterals

Circles

Practice with Quadrilaterals

2.4: Three-Dimensional Shapes

Three-Dimensional shapes

2.5: Symmetry and Geometric Transformations

Symmetry

Geometric Transformations

Translations

2.6: Similarity and Proportional Measurements

Defining Similarity

Similarity of Triangles

Solving Similar Triangles

Application of Similar Triangles

Practice with Similar Triangles

2.7: Perimeter, Circumference, Area, and Volume

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

2.8: Units of Measurements

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

Unit 2 Assessment

Unit 3: Algebra

3.1: Algebraic Expressions

Review of Variables

Simplifying Algebraic Expressions

Practice with Simplifying Algebraic Expressions

Translating English to Math

Knowledge check

Knowledge check

3.2: Linear Equations with One Variable

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

3.3: Linear Inequalities with One Variable

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

3.4: Quadratic Equations

The Quadratic Formula

More on the Quadratic Formula

Applications of Quadratic Equations

Practice with the Quadratic Formula

Practice with Quadratic Applications

3.5: Graphs of Linear Equations

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

3.6: Graphs of Quadratic Equations

Introduction to Parabolas

Graphing Quadratic Equations in Vertex Form

Graphing Quadratic Equations in Standard Form

Practice with Graphing Quadratic Equations

3.7: Functions

Identifying Functions

Evaluating Functions

Practice with Functions

Unit 3 Assessment

Unit 3 Assessment

Unit 4: Probability and Statistics

4.1: Data Representation

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

4.2: Measures of Central Tendency

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

4.3: Measures of Dispersion

Measures of Dispersion

Practice with Measures of Dispersion

4.4: Counting and Probability

Introduction to Probability

Compound Probability of Independent Events

Independent and Dependent Events

Practice with Dependent Events and Sample Spaces

Practice with Conditional Probability

4.5: Collecting Data

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

Unit 4 Assessment

Course Feedback Survey

Course Feedback Survey

Certificate Final Exam

GKT101: Certificate Final Exam
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GKT101: General Knowledge for Teachers – Math
Unit 1: Review of Numbers and Operational Expressions
1.1 Whole Numbers, Integers and Absolute Value
Practice with Whole Numbers

Practice with Whole Numbers

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Completion requirements

Complete these exercises and check your answers.

Answers

1. $4, 87$
2. $0, 4, 87$
1. $613$
2. $55,208$
$68$
$17$
$32$
$0$
$0$
$66$
$3,325$
$490$
$442$
$11$
$16 + 58; 74$
$32 − 18; 14$
$2(524); 1,048$
$300 − 50; 250$
Stan had $344 left.
Clayton walked 30 blocks.

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Saylor Academy © 2010-2025 except as otherwise noted. Excluding course final exams, content authored by Saylor Academy is available under a Creative Commons Attribution 3.0 Unported license. Third-party materials are the copyright of their respective owners and shared under various licenses. See detailed licensing information. Saylor Academy®, Saylor.org®, and Harnessing Technology to Make Education Free® are trade names of the Constitution Foundation, a 501(c)(3) organization through which our educational activities are conducted.