Skill Practice

Eighth Grade Skills

Grade	Topic Id	Skill Description
8	Rational And Irrational Numbers	Understand and articulate the definition of rational numbers.
8	Rational And Irrational Numbers	Understand and articulate the definition of irrational numbers.
8	Rational And Irrational Numbers	Recognize and identify rational numbers in various forms (fractions, decimals, integers).
8	Rational And Irrational Numbers	Recognize and identify irrational numbers, including non-repeating, non-terminating decimals and roots of non-perfect squares.
8	Rational And Irrational Numbers	Convert given fractions into their decimal equivalents.
8	Rational And Irrational Numbers	Correctly classify numbers as rational or irrational.
8	Rational And Irrational Numbers	Simplify expressions involving square roots and higher-order roots.
8	Rational And Irrational Numbers	Approximate irrational numbers to the nearest rational number as a decimal or fraction.
8	Rational And Irrational Numbers	Perform operations of multiplication and division on radical expressions.
8	Finding And Estimating Square Roots	Learning the concept of squaring a number.
8	Finding And Estimating Square Roots	Recognizing numbers that are perfect squares.
8	Finding And Estimating Square Roots	Finding the square roots of perfect squares.
8	Finding And Estimating Square Roots	Making rough estimates of square roots for non-perfect squares.
8	Finding And Estimating Square Roots	Placing square roots on a number line for visualization.
8	Finding And Estimating Square Roots	Approximating square roots to appropriate decimal places.
8	Finding And Estimating Square Roots	Using a calculator to find square roots of non-perfect squares.
8	Finding And Estimating Square Roots	Understanding the difference between rational and irrational square roots.
8	Finding And Estimating Square Roots	Applying square root calculations to solve real-world problems.
8	Exponents And Scientific Notation	Grasping the meaning of the exponent and base in expressions like a^n.
8	Exponents And Scientific Notation	Applying the product of powers property: a^m * a^n = a^(m+n).
8	Exponents And Scientific Notation	Applying the quotient of powers property: a^m / a^n = a^(m-n).
8	Exponents And Scientific Notation	Using the power of a power property: (a^m)^n = a^(m*n).
8	Exponents And Scientific Notation	Understanding that any non-zero base raised to the zero power equals 1: a^0 = 1.
8	Exponents And Scientific Notation	Applying the negative exponent property: a^-n = 1/(a^n).
8	Exponents And Scientific Notation	Learning the format of scientific notation: a x 10^n where 1 ≤ a < 10.
8	Exponents And Scientific Notation	Expressing large and small numbers in scientific notation.
8	Exponents And Scientific Notation	Interpreting the result of calculations and converting between scientific notation and standard form.
8	Linear Equations And Inequalities	Learn what variables are and how they are used in equations.
8	Linear Equations And Inequalities	Recognize linear equations in one variable.
8	Linear Equations And Inequalities	Use inverse operations to isolate the variable on one side of the equation.
8	Linear Equations And Inequalities	Solve equations that require more than one step to isolate the variable.
8	Linear Equations And Inequalities	Apply the distributive property to simplify and solve equations.
8	Linear Equations And Inequalities	Solve linear equations that involve fractions.
8	Linear Equations And Inequalities	Plot the solutions of linear equations on a coordinate plane.
8	Linear Equations And Inequalities	Learn the symbols and concepts of inequalities.
8	Linear Equations And Inequalities	Use algebraic techniques to solve linear inequalities.
8	Linear Equations And Inequalities	Represent solutions of inequalities on number lines and coordinate planes.
8	Functions And Relationships	Understand what a function is and the concept of a function as a rule that assigns to each input exactly one output.
8	Functions And Relationships	Learn to use function notation and interpret statements that use function notation.
8	Functions And Relationships	Practice evaluating functions for specific inputs.
8	Functions And Relationships	Identify the domain and range of a function from a graph or a set of ordered pairs.
8	Functions And Relationships	Understand that linear functions have constant rates of change and study their graphs and equations.
8	Functions And Relationships	Learn to graph functions and interpret graphs in context.
8	Functions And Relationships	Compare properties of two functions represented in different ways: algebraically, graphically, numerically in tables, or by verbal descriptions.
8	Functions And Relationships	Understand non-linear functions, such as quadratic or exponential functions, and recognizing their graphs.
8	Functions And Relationships	Use functions to model relationships between quantities in real-world situations.
8	Functions And Relationships	Interpret key parameters (slope and y-intercept for linear functions) in the context of the situation.
8	Graphing Lines And Linear Functions	Learn to plot points on the Cartesian plane.
8	Graphing Lines And Linear Functions	Understand the (x, y) coordinate system.
8	Graphing Lines And Linear Functions	Graph lines using given points.
8	Graphing Lines And Linear Functions	Calculate slope using the formula (change in y)/(change in x).
8	Graphing Lines And Linear Functions	Interpret the slope as the rate of change.
8	Graphing Lines And Linear Functions	Identify and interpret the y-intercept of a line.
8	Graphing Lines And Linear Functions	Understand and use the y = mx + b form.
8	Graphing Lines And Linear Functions	Graph lines using the slope-intercept form.
8	Graphing Lines And Linear Functions	Understand properties and graph of parallel lines.
8	Graphing Lines And Linear Functions	Interpret the meaning of linear graphs in context.
8	Systems Of Linear Equations	Recognize and understand the basic structure and components of linear equations.
8	Systems Of Linear Equations	Plot linear equations on a coordinate plane using slope and y-intercept.
8	Systems Of Linear Equations	Determine the point of intersection between two linear equations by observing their graphs.
8	Systems Of Linear Equations	Solve systems of linear equations by substituting one equation into another.
8	Systems Of Linear Equations	Solve systems of linear equations by adding or subtracting equations to eliminate a variable.
8	Systems Of Linear Equations	Identify and solve systems of equations that have a unique solution.
8	Systems Of Linear Equations	Recognize systems of equations where no solution exists.
8	Systems Of Linear Equations	Identify systems of equations that have infinitely many solutions.
8	Systems Of Linear Equations	Check if a given solution satisfies both equations in a system.
8	Systems Of Linear Equations	Apply methods of solving systems of linear equations to real-world scenarios.
8	Transformations And Congruence	Recognize and describe translations in the coordinate plane.
8	Transformations And Congruence	Perform translations on figures in the coordinate plane.
8	Transformations And Congruence	Recognize and describe reflections across axes and lines.
8	Transformations And Congruence	Perform reflections of figures across axes and lines.
8	Transformations And Congruence	Recognize and describe rotations of figures around a point.
8	Transformations And Congruence	Perform rotations of figures around a point.
8	Transformations And Congruence	Recognize and describe dilations and their effects on figures.
8	Transformations And Congruence	Perform dilations of figures in the coordinate plane.
8	Transformations And Congruence	Understand criteria for figures being congruent through transformations.
8	Transformations And Congruence	Verify congruence of figures after performing transformations.
8	Similarity And Similarity Transformations	Understand the concept of similar figures.
8	Similarity And Similarity Transformations	Use the Angle-Angle (AA) criterion to determine if two triangles are similar.
8	Similarity And Similarity Transformations	Identify and apply proportional relationships in similar figures.
8	Similarity And Similarity Transformations	Understand that corresponding sides of similar figures are proportional.
8	Similarity And Similarity Transformations	Relate the perimeters of similar figures to their corresponding sides.
8	Similarity And Similarity Transformations	Determine and apply the scale factor between similar figures.
8	Similarity And Similarity Transformations	Perform and understand the concept of dilations in coordinate plane.
8	Similarity And Similarity Transformations	Apply similarity transformations (dilations, reflections, rotations, translations).
8	Similarity And Similarity Transformations	Use properties of similar figures to solve problems involving indirect measurement.
8	Similarity And Similarity Transformations	Apply similarity and scale factors to solve real-world problems.
8	Pythagorean Theorem	Recognize and identify right triangles in various geometric contexts.
8	Pythagorean Theorem	Understand and state the Pythagorean Theorem.
8	Pythagorean Theorem	Determine which sides of a right triangle are the legs and which is the hypotenuse.
8	Pythagorean Theorem	Use the Pythagorean Theorem to calculate the length of the hypotenuse when the lengths of the legs are known.
8	Pythagorean Theorem	Use the Pythagorean Theorem to calculate the length of a leg when the lengths of the hypotenuse and the other leg are known.
8	Pythagorean Theorem	Understand and apply the converse of the Pythagorean Theorem to determine if a triangle is a right triangle.
8	Pythagorean Theorem	Use the Pythagorean Theorem to find the distance between two points on a coordinate plane.
8	Pythagorean Theorem	Apply the Pythagorean Theorem in three-dimensional geometric contexts to find lengths.
8	Pythagorean Theorem	Solve real-world problems involving the Pythagorean Theorem, such as navigation and construction.
8	Pythagorean Theorem	Draw or interpret geometric diagrams requiring the application of the Pythagorean Theorem.