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# Takehome Teacher: Middle-School Math Explained

**by**Kahover, Brian, M.Ed.

### 9780977430697

0977430693

Paperback

12/6/2006

Acacia Pub Inc

## Summary

Well, that person (which might even be you!) needn't worry any longer. Takehome Teacher, written by veteran middle-school math teacher Brian Kahover, puts everything you need to know in one convenient, easy-to-use, handbook. Takehome Teacher was written to help parents and students work their way through the entire spectrum of middle-school/junior high math - from decimals, number theory, and statistics to geometry, equations, and polynomials.

## Table of Contents

Decimal Numbers | |

The Whole Number Place Values | p. 1 |

Decimal Place Values | p. 2 |

Comparing Decimal Numbers | p. 3 |

Decimal Numbers on the Number Line | p. 4 |

Rounding Decimal Numbers | p. 5 |

Estimation: Rounding | p. 6 |

Estimation: Front-end | p. 7 |

Estimation: Compatible Numbers | p. 8 |

Addition of Decimal Numbers | p. 9 |

Subtraction of Decimal Numbers | p. 10 |

Multiplication of Decimal Numbers | p. 11 |

Division of Decimal Numbers by a Whole Number | p. 12 |

Terminating and Repeating Decimal Numbers | p. 13 |

Division of Decimal Numbers by a Decimal Number | p. 14 |

Properties: Identity and Commutative | p. 15 |

Properties: Associative, Zero, and Distributive | p. 16 |

Using the Properties | p. 17 |

Number Theory | |

Understanding Fractions | p. 1 |

Comparing Fractions, Part 1 | p. 2 |

Comparing Fractions, Part 2 | p. 3 |

Multiples and the Least Common Multiple | p. 4 |

Comparing Fractions, Part 3 | p. 5 |

Exponents and the Order of Operations | p. 6 |

The Order of Operations, Part 2 | p. 7 |

Factors and the Divisibilty Tests | p. 8 |

Prime Numbers and Prime Factoring | p. 9 |

Prime Factoring, Part 2 | p. 10 |

The Greatest Common Factor & Simplifying Fractions | p. 11 |

GCF/LCM from Prime Factorizations | p. 12 |

Understanding Mixed Numbers | p. 13 |

Fractions into Decimals, Part 1 | p. 14 |

Fractions into Decimals, Part 2 | p. 15 |

Decimals into Fractions | p. 16 |

Fractions & Mixed Numbers | |

Estimating with Fractions | p. 1 |

Adding & Subtracting Fractions | p. 2 |

Subtracting Mixed Numbers with Renaming | p. 3 |

Subtracting Mixed Numbers with Renaming, Part 2 | p. 4 |

Multiplying Fractions & Mixed Numbers | p. 5 |

More on Multiplying Mixed Numbers | p. 6 |

Dividing Fractions and Mixed Numbers | p. 7 |

Measurements | |

The U.S. Customary Measurement System | p. 1 |

The Inch Ruler/Converting in the U.S. System | p. 2 |

Converting in the U.S. System, Part 2 | p. 3 |

The Metric Measurement System | p. 4 |

Measuring and Converting in the Metric System | p. 5 |

Converting in the Metric System | p. 6 |

Integers | |

Comparing and Ordering Integers | p. 1 |

Adding Integers | p. 2 |

Adding and Subtracting Integers | p. 3 |

More Adding and Subtracting Integers | p. 4 |

Multiplying and Dividing Integers | p. 5 |

Statistics | |

Frequency Tables and Line Plots | p. 1 |

Histograms and Bar Graphs | p. 2 |

Line Graphs and Double Line Graphs | p. 3 |

Statistical Measures: Mean and Median | p. 4 |

Statistical Measures: Mode and Range | p. 5 |

Working with Statistical Measures | p. 6 |

Stem-and-Leaf Plots | p. 7 |

Using Stem-and-Leaf Plots | p. 8 |

Box-and-Whisker Plots | p. 9 |

Scatter Plots | p. 10 |

Equations | |

Variables and Expressions | p. 1 |

Writing Variable Expressions | p. 2 |

Writing and Evaluating Variable Expressions | p. 3 |

Writing Equations | p. 4 |

Solving Addition and Subtraction Equations | p. 5 |

Solving Addition and Subtraction Equations, Part 2 | p. 6 |

Solving Equations with Multiplication and Division | p. 7 |

Solving Two-Step Equations | p. 8 |

Understanding and Graphing Inequalities | p. 9 |

Solving Inequalities | p. 10 |

Square Roots | p. 11 |

Estimating Square Roots | p. 12 |

Simplifying Square Roots | p. 13 |

Working with Exponents | p. 14 |

Real Numbers | p. 15 |

Equations with Rational Numbers | p. 16 |

Scientific Notation | p. 17 |

Negative Exponents | p. 18 |

Ratios and Proportions | |

Ratios, Rates, and Unit Rates | p. 1 |

More on Unit Rates | p. 2 |

Proportions | p. 3 |

Setting up Proportions | p. 4 |

Similar Geometric Figures | p. 5 |

Using Similar Figures | p. 6 |

Scale Drawings | p. 7 |

Percents | |

Understanding Percents | p. 1 |

Fractions and Percents | p. 2 |

Decimals and Percents | p. 3 |

Finding a Percent of a Number | p. 4 |

Taxes and Discounts | p. 5 |

The Percent Proportion | p. 6 |

The Percent Proportion, Part 2 | p. 7 |

Solving Percent Problems with Equations | p. 8 |

Percent of Change | p. 9 |

Circle Graphs | p. 10 |

Simple and Compound Interest | p. 11 |

Geometry-Terms and Basic Ideas | |

Lines and Angles | p. 1 |

Angle Relationships | p. 2 |

Parallel Lines and Their Angles' Relationships | p. 3 |

Polygons | p. 4 |

Triangles | p. 5 |

Quadrilaterals | p. 6 |

Polygon Angles | p. 7 |

Circles | p. 8 |

Symmetry | p. 9 |

Tessellations | p. 10 |

Geometry-Perimeter, Area, and Volume | |

Perimeter | p. 1 |

Area of a Parallelogram | p. 2 |

Area of a Triangle | p. 3 |

Area of a Trapezoid | p. 4 |

Other Polygon Areas | p. 5 |

Circumference and Area of Circles | p. 6 |

The Pythagorean Theorem | p. 7 |

Three-Dimensional Figures | p. 8 |

Surface Area and Volume | p. 9 |

Surface Area of Prisms | p. 10 |

Surface Area of Prisms, Part 2 | p. 11 |

Surface Area of a Cylinder | p. 12 |

Surface Area of a Pyramid and a Cone | p. 13 |

Volume of a Prism | p. 14 |

Volume of a Cylinder | p. 15 |

Volume of a Pyramid and a Cone | p. 16 |

Spheres | p. 17 |

Probabilities | |

Experimental Probabilities | p. 1 |

Theoretical Probabilities and Odds | p. 2 |

Sample Spaces | p. 3 |

The Counting Principle | p. 4 |

Independent and Dependent Events | p. 5 |

Permutations | p. 6 |

Combinations | p. 7 |

Functions and the Coordinate Plane | |

Patterns and Sequences | p. 1 |

Functions | p. 2 |

Function Tables and Rules | p. 3 |

Graphing Functions | p. 4 |

The Coordinate Plane | p. 5 |

Graphing Equations with Two Variables | p. 6 |

Linear and Nonlinear Equations | p. 7 |

Slope and the y-Intercept | p. 8 |

Graphing Inequalities with Two Variables | p. 9 |

Transformations | p. 10 |

Translations | p. 11 |

Reflections | p. 12 |

Rotations | p. 13 |

Polynomials | |

Understanding and Simplifying Polynomials | p. 1 |

Adding and Subtracting Polynomials | p. 2 |

Multiplying a Polynomial by a Monomial | p. 3 |

Multiplying Binomials | p. 4 |

Factoring Polynomials | p. 5 |

Dividing Polynomials | p. 6 |

Index | |

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