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8th Grade

8 NS Number System

Know that there are numbers that are not rational, and approximate them by rational numbers.  

8.NS.1 Classify real numbers as rational or irrational.  (Whole numbers, integers, rational numbers, and irrational numbers).

8.NS.2  Determine rational approximations.

8.NS.3  Compare real numbers.

8.NS.4  Locate real numbers on a number line.  

8 EE  Expressions and Equations

Work with radical and integer exponents.

8.EE.1  Know and apply properties of positive and negative integer exponents.

8.EE.2  Find the square root of perfect squares and the cube root of perfect cubes.

8.EE.3  Write very large numbers and very small numbers in scientific notation.

8.EE.4  Multiply and divide numbers written in scientific notation.  

8.EE.5  Understand how technology tools (ie. calculators) display numbers in scientific notation.

Understand the connection between proportional relationships, lines, and linear equations.

8.EE.6  Use linear equations to represent situations involving a constant rate of change, including proportional and non-proportional relationships.  

8.EE.7  Identify graphical properties of linear functions including slope and intercepts.  

8.EE.8  Understand that a system of linear equations may have no solution, or an infinite number of solutions.

8.EE.9  Solve multi-step equations with one variable.  

        a.  In slope-intercept form  y = mx + b

        b.  With rational coefficients

        c.  Equations that require the use of the distributive property

        d.  Equations that require the combining of like terms

Analyze and solve linear equations and pairs of simultaneous linear equations.

8.EE.10  Solve a system of equations by graphing the equations and identifying the point of intersection.

8.EE.11  Solve a system of equations algebraically by solving for “x” and “y”.

8.EE.12  Represent and solve real world situations using systems of linear equations.

8 F Functions

Define, evaluate, and compare functions.

8.F.1  Evaluate a function when given the input.

8.F.2  Interpret the equation y = mx + b as a linear function that graphs a straight line.

Use functions to model relationships between quantities.

8.F.3  Write a function in the form of y = mx + b to represent a relationship between two quantities.

8 G Geometry

Understand congruence and similarity using physical models, transparencies, or geometry software.

8.G.1  Be able to graph the following transformations: reflections, rotations, dilations, and translations.

8.G.2  Know angle relationships that are created when a pair of parallel lines are intersected by a transversal.

        a.  Interior Angles

        b.  Exterior Angles

        c.  Alternate Interior

        d.  Alternate Exterior

        e.  Corresponding Angles

        f.  Vertical Angles

        g.  Adjacent Angles

Understand and apply the Pythagorean Theorem.  

8.G.3  Use the Pythagorean Theorem to solve problems involving right triangles.

8.G.4  Use the converse of the Pythagorean Theorem to determine if the side measurements represent a right triangle.

8.G.5  Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Solve real world and mathematical problems involving volume of cylinders, cones, and spheres.

8.G.6  Calculate the volume of the following 3-D figures; cones, cylinders, and spheres.

8 SP Statistics and Probability 

Investigate patterns of association in data.

8.SP.1  Collect, display, and interpret data using scatter plots.  

a.  Identify relationships with data - positive, negative, or no correlation.

b.  Identify if the relationship represents a linear or non-linear relationship.