Grade 8 Math Florida standards Standards

Solve problems involving rational numbers, including numbers in scientific notation, and extend the understanding of rational numbers to irrational numbers.

Number Sense and Operations

Understand similarity and congruence using models and transformations.

Develop an understanding of the Pythagorean Theorem and angle relationships involving triangles.

Geometric Reasoning

Define, evaluate and compare functions.

Functions

Represent and find probabilities of repeated experiments.

Represent and investigate numerical bivariate data.

Data Analysis and Probability

Develop an understanding of two-variable systems of equations.

Extend understanding of proportional relationships to two-variable linear equations.

Solve multi-step one-variable equations and inequalities.

Generate equivalent algebraic expressions.

Algebraic Reasoning

Use the properties of integer exponents and product/quotient of powers with like bases to produce equivalent algebraic expressions limited to positive exponents and monomial bases.

Use the distributive property to multiply a monomial by a linear expression.

Rewrite the sum of two linear algebraic expressions having a common whole number monomial factor as the common factor multiplied by the sum of two linear algebraic expressions.

Identify the steps to solve a given multi-step equation in one variable, with integers coefficients. Include equations with variables on both sides.

Solve multi-step equations in one variable, with integers coefficients. Include equations with variables on both sides.

Select a two-step inequality from a list that represents a real-world situation and use substitution to solve.

Given an equation in the form of x²= p and x³= q, use tools to determine real solutions where p is a perfect square up to 144 and q is a perfect cube from –125 to 125.

Given a table, a graph, or equation, determine whether a linear relationship is proportional.

Given a table or graph of a linear relationship, identify the slope.

Given a table or graph of a linear relationship, identify from a list, the equation in slope-intercept form.

Graph a two-variable linear equation from a table or an equation in slope-intercept form.

Given a real-world context, identify the slope and y-intercept of a two-variable linear equation from a table, a graph or an equation in slope-intercept form.

Given a system of two linear equations displayed on a graph, identify the solution of a system as the point where the two lines intersect.

Identify the coordinates of the point of intersection for two linear equations plotted on a coordinate plane.

Given a system of two linear equations represented graphically on the same coordinate plane, identify whether there is one solution or no solution.

Given two sets of coordinates for two lines, plot the lines on a coordinate plane and describe or select the solution to a system of linear equations.

Graph bivariate data using a scatter plot.

Given a scatter plot, identify whether the patterns of association are no association, positive association, negative association, linear or nonlinear.

Given a scatter plot with a linear association, use tools to draw or place a line of fit.

Use a tool (table, list or tree diagram) to record results of a repeated experiment.

Select the theoretical probability of an event related to a repeated experiment from a list.

Compare actual results of an experiment with its theoretical probability (e.g., make a statement that describes the relationship between the actual results of an experiment with its theoretical probability [e.g., more, less, same, different, equal]).

Given a set of ordered pairs, a table or mapping diagram identify whether the relationship is a function.

Given a set of ordered pairs, a table or mapping diagram identify the domain and range of the relation.

Given a function displayed on a graph or an equation, identify whether the function is a linear function.

Given a functional relationship displayed as a graph, identify where the function is increasing, decreasing or constant.

Find the hypotenuse of a two-dimensional right triangle using the Pythagorean Theorem.

Given the Pythagorean Theorem, determine lengths/distances between two points in a coordinate system by forming right triangles, with natural number side lengths.

Measure the sides of triangles to establish facts about the Triangle Inequality Theorem (i.e., the sum of two side lengths is greater than the third side).

Substitute the side lengths of a given figure into the Pythagorean Theorem to determine if a right triangle can be formed.

Identify supplementary, complementary, vertical or adjacent angle relationships.

Given an image, solve simple problems involving the relationships of interior and exterior angles of a triangle.

Use tools to calculate the sum of the interior angles of regular polygons when given the formula.

Given two figures on a coordinate plane, identify if the image is translated, rotated or reflected.

Given a preimage and image describe the effect the dilation has on the two figures.

Identify the coordinates of the vertices of a common polygon after a single translation, rotation or dilation on the coordinate plane.

Use tools to solve mathematical problems using proportions between similar triangles.

Locate approximations of irrational numbers on a number line.

Use appropriate tools to plot, order, and compare simple square roots and cube roots for quantities less than 100.

Use the properties of integer exponents and product/quotient of powers with like bases to produce equivalent expressions.

Multiply a single-digit number by the power of 10 using a calculator. Identify whether the number in scientific notation represents a very large or very small quantity.

Perform operations with numbers expressed in scientific notation using a calculator.

Given a real-world problem, perform operations with numbers expressed in scientific notation using a calculator and interpret the answer in context.

Use tools to solve multi-step mathematical problems, with four or fewer steps, involving the order of operations with rational numbers including exponents and perfect squares and/or square roots.

Represent and find probabilities of repeated experiments.

Represent and investigate numerical bivariate data.

Data Analysis and Probability

Understand similarity and congruence using models and transformations.

Develop an understanding of the Pythagorean Theorem and angle relationships involving triangles.

Geometric Reasoning

Define, evaluate and compare functions.

Functions

Develop an understanding of two-variable systems of equations.

Extend understanding of proportional relationships to two-variable linear equations.

Solve multi-step one-variable equations and inequalities.

Generate equivalent algebraic expressions.

Algebraic Reasoning

Solve problems involving rational numbers, including numbers in scientific notation, and extend the understanding of rational numbers to irrational numbers.

Number Sense and Operations

Apply the Laws of Exponents to generate equivalent algebraic expressions, limited to integer exponents and monomial bases.

Apply properties of operations to multiply two linear expressions with rational coefficients.

Rewrite the sum of two algebraic expressions having a common monomial factor as a common factor multiplied by the sum of two algebraic expressions.

Solve multi-step linear equations in one variable, with rational number coefficients. Include equations with variables on both sides.

Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically.

Given an equation in the form of x²=p and x³=q, where p is a whole number and q is an integer, determine the real solutions.

Determine if a linear relationship is also a proportional relationship.

Given a table, graph or written description of a linear relationship, determine the slope.

Given a table, graph or written description of a linear relationship, write an equation in slope-intercept form.

Given a mathematical or real-world context, graph a two-variable linear equation from a written description, a table or an equation in slope-intercept form.

Given a real-world context, determine and interpret the slope and y-intercept of a two-variable linear equation from a written description, a table, a graph or an equation in slope-intercept form.

Given a system of two linear equations and a specified set of possible solutions, determine which ordered pairs satisfy the system of linear equations.

Given a system of two linear equations represented graphically on the same coordinate plane, determine whether there is one solution, no solution or infinitely many solutions.

Given a mathematical or real-world context, solve systems of two linear equations by graphing.

Given a set of real-world bivariate numerical data, construct a scatter plot or a line graph as appropriate for the context.

Given a scatter plot within a real-world context, describe patterns of association.

Given a scatter plot with a linear association, informally fit a straight line.

Determine the sample space for a repeated experiment.

Find the theoretical probability of an event related to a repeated experiment.

Solve real-world problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability.

Given a set of ordered pairs, a table, a graph or mapping diagram, determine whether the relationship is a function. Identify the domain and range of the relation.

Given a function defined by a graph or an equation, determine whether the function is a linear function. Given an input-output table, determine whether it could represent a linear function.

Analyze a real-world written description or graphical representation of a functional relationship between two quantities and identify where the function is increasing, decreasing or constant.

Apply the Pythagorean Theorem to solve mathematical and real-world problems involving unknown side lengths in right triangles.

Apply the Pythagorean Theorem to solve mathematical and real-world problems involving the distance between two points in a coordinate plane.

Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides. Use the converse of the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides.

Solve mathematical problems involving the relationships between supplementary, complementary, vertical or adjacent angles.

Solve problems involving the relationships of interior and exterior angles of a triangle.

Develop and use formulas for the sums of the interior angles of regular polygons by decomposing them into triangles.

Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.

Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship.

Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.

Solve mathematical and real-world problems involving proportional relationships between similar triangles.

Extend previous understanding of rational numbers to define irrational numbers within the real number system. Locate an approximate value of a numerical expression involving irrational numbers on a number line.

Plot, order and compare rational and irrational numbers, represented in various forms.

Extend previous understanding of the Laws of Exponents to include integer exponents. Apply the Laws of Exponents to evaluate numerical expressions and generate equivalent numerical expressions, limited to integer exponents and rational number bases, with procedural fluency.

Express numbers in scientific notation to represent and approximate very large or very small quantities. Determine how many times larger or smaller one number is compared to a second number.

Add, subtract, multiply and divide numbers expressed in scientific notation with procedural fluency.

Solve real-world problems involving operations with numbers expressed in scientific notation.

Solve multi-step mathematical and real-world problems involving the order of operations with rational numbers including exponents and radicals.