CK-12-Middle-School-Math-Concepts-Grade-8__v1_rdq

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ISBN

5995130471

Using Algebra

Interpret Given Bar Graphs

Understand and Interpret Frequency Tables and Histograms

Represent Real-World Problems Using Bar Graphs, Frequency Tables, and Histograms

Evaluate Numerical and Variable Expressions Using the Order of Operations

Connect Variable Expressions and the Order of Operations with Real-World Problems

Evaluate Numerical and Variable Expressions Involving Powers

Use the Order of Operations to Evaluate Powers

Evaluate Variable Expressions with Given Values

Translate Verbal Phrases into Variable Expressions

Write and Evaluate Variable Expressions for Given Situations

Solve and Check Single-Variable Equations Using Mental Math and Substitution

Solve Real-World Problems by Writing and Solving Single-Variable Equations

Find Perimeter and Area of Squares and Rectangles Using Formulas

Use the Formula for Distance to Find Distance, Rate and Time

Understand the Problem-Solving Plan

Solve Real-World Problems by Using Strategies and a Plan

References

Using Rational Numbers

Add and Subtract Decimals

Estimate Sums and Differences Using Front-End Estimation

Multiply and Divide Decimals With and Without Rounding

Estimate Products and Quotients Using Leading Coefficients

Identify and Apply Number Properties in Decimal Operations

Add and Subtract Fractions and Mixed Numbers

Estimate Sums and Differences of Fractions and Mixed Numbers

Multiply and Divide Fractions and Mixed Numbers

Estimate Products and Quotients of Fractions and Mixed Numbers

Identify and Apply Number Properties in Fraction Operations

Add and Subtract Integers

Multiply and Divide Integers

Identify and Apply Number Properties in Integer Operations

Use Simple Integer Equations to Solve Real-World Problems

Find Equivalent Forms of Rational Numbers

Compare and Order Rational Numbers

Solve Real-World Problems Using Rational Numbers and Simple Equations

References

Single Variable Equations and Inequalities

Solve One-Step Equations Using Inverse Properties of Addition and Multiplication

Solve One-Step Equations Using Inverse Properties of Subtraction and Division

Solving Equations Using Inverse Properties of Addition and Multiplication

Solve Two-Step Equations Involving Inverse Properties of Subtraction and Division

Solve Equations Involving Combining Like Terms

Solve Equations with the Distributive Property

Solve Equations with the Distributive Property and Combining Like Terms

Solve Equations with a Variable on Both Sides

Solve Multi-Step Equations Involving Decimals

Solve Multi-Step Equations Involving Fractions

Solve Multi-Step Equations Involving Rational Numbers

Write and Graph Inequalities

Solve Inequalities Using Addition or Subtraction

Solve Inequalities Using Multiplication

Solve Inequalities Using Division

Solve Inequalities Involving Combining Like Terms

Solve Inequalities by Using the Distributive Property

Write and Solve Multi-Step Inequalities Given Problem Situations

References

Applying Proportions

Write, Compare, and Order Ratios

Use Unit Rates and Equivalent Rates

Write and Solve Proportions by Using Equivalent Rates

Write and Solve Proportions by Using Cross-Products

Connect Proportions to Real-World Situations

Use Unit Scale When Problem Solving

Use Scale Factor When Problem Solving

Read and Interpret Scale Drawings and Floor Plans

Read and Interpret Maps Involving Distance and Area

Understand Three-Dimensional Scale Models and Designs

Understand Scale Relationships

Convert Customary Units of Measurement

Convert Customary Units of Measurement in Real-World Situations

Convert Metric Units of Measurement

Convert Metric Units of Measurement in Real-World Situations

Use Metric and Customary Units of Measurement in Problem Solving

Solve Problems Involving Rates and Unit Analysis

References

Applying Percents

Recognize and Write Percent

Write Percents as Decimals

Write Percents as Fractions

Find the Percent of a Number

Use Proportions to Find Percent

Use Proportions to Solve Percent Problems

Use the Percent Equation to Find Part a

Use the Percent Equation to Find the Percent

Use the Percent Equation to Find the Base, b

Find the Percent of Increase

Find the Percent of Decrease

Using the Percent of Change

Find Retail Prices Given Wholesale, Markups and Sales Tax

Find Discount Prices Given Sales

Very Small and Large Percent Problems

Solve Percent Problems Involving Scientific Notation

Solve Real World Problems Involving Simple Interest

Solve Real World Problems Involving Compound Interest

References

Geometry and Transformations

Identify Angle Pairs

Identify Adjacent and Vertical Angles

Identify Types of Lines

Measures of Angle Pairs

Classifying Triangles

Understanding the Angle Measures of Triangles

Classifying Quadrilaterals

Understanding the Angle Measures of Quadrilaterals

Identifying Polygons

Recognizing and Understanding Congruent Polygons

Identify and Apply Theorems to Triangle Congruence

Recognizing Reflections

Identify Lines of Symmetry

Recognizing Translation Transformations

Recognizing Rotation Transformations

Identifying Tessellations

Recognizing Similarity

Recognizing Dilations

References

Using Real Numbers and Right Triangles

Evaluate Radical Expressions

Evaluate Radical Expressions and Fractional Powers

Solve Equations Involving Radicals

Classify Real Numbers

Approximate Solutions to Equations Involving Pi

Derive and Use the Pythagorean Theorem

Derive and Use the Converse of the Pythagorean Theorem

Use the Pythagorean Theorem

The Pythagorean Theorem, Perimeter and Area

Identify and Use the Distance Formula

45-45-90 Triangles

30-60-90 Triangles

Understanding Sines

Understanding Cosines

Understanding Tangents

Determine and Use the Sine Ratio

Determine and Use the Cosine Ratio

Determine and Use the Tangent Ratio

References

Measurement, Area and Volume

Find the Dimensions and Area of Triangles

Find the Dimensions and Area of Quadrilaterals

Circumference of Circles

Area of Circles

Classifying Solid Figures

Surface Area of Prisms

Surface Area of Cylinders

Surface Area of Pyramids

Surface Area of Cones

Volume of Prisms

Volume of Cylinders

Volume of Pyramids

Volume of Cones

Surface Area of Spheres

Volume of Spheres

References

Linear Functions and Graph

Recognizing Functions

Evaluating Function Rules

Writing Function Rules

Finding Solutions for Equations in Two Variables

Using Tables to Graph Functions

Using Intercepts

Finding the Slope of a Line

Direct and Inverse Variation

Using Slope-Intercept Form

Graphing Linear Equations

Writing Linear Equations

Use Function Notation to Graph Functions

Recognizing Linear Systems

Solving Linear Systems by Graphing

Solving Linear Systems by Substitution

Solving Linear Inequalities

Graphing Linear Inequalities

References

Analyzing Data

Mean, Median, Mode and Range

Understanding the Mean

Stem-and-Leaf Plots

Frequency Tables and Histograms

Box-and-Whisker Plots

Using Box-and-Whisker Plots to Understand Data

Make a Scatterplot to Represent Data

Use a Scatterplot to Interpret Data

Understanding Misleading Statistics

Using Data Displays

Understanding Bias

Understanding Survey Data

Interpreting Data

References

Using Probability

Using Tree Diagrams

Calculating Outcomes

Recognizing Permutations

Evaluate Permutations Using Permutation Notation

Recognizing Combinations

Evaluate Combinations Using Combination Notation

Theoretical Probability

Experimental Probability

Write and Compare Probabilities as Fractions, Decimals and Percents

Identify Overlapping, Disjoint, and Complementary Events

Calculate Odds Using Outcomes or Probability

Recognize Independent and Dependent Events

Understanding Conditional Probability

Understanding Geometric Probability

Use Simulations to Explore Experimental Probability

References

Polynomials

Recognize and Identify Monomials, Binomials and Trinomials

Write and Classify Polynomials in Standard Form

Simplify Polynomials by Combining Like Terms

Evaluate Polynomial Expressions

Adding Polynomials

Subtracting Polynomials

Multiplying Monomials

Recognize and Apply the Power of a Product Property

Recognize and Apply the Power of a Quotient Property

Recognize and Apply the Power of a Power Property

Multiplying Binomials

Understanding the Graphs of a Parabola

Understanding the Equations of Parabolas

Recognizing Quadratic Functions

Evaluating Quadratic Functions

Exponential Functions

Exponential Growth and Decay

Arithmetic Sequences

Geometric Sequences

References

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