Scientific Calculator Unity Web Player

Pre Algebra

Overview

Read, set, go! Grade 8 Pre-Algebra is all about training to run the race of high school math. Students will strengthen their skills in topics like linear relationships, functions, and equations, and learn new skills that prepare them for Algebra 1. This course is designed with interactive learning and real-world activities to strengthen students’ math muscles for the race ahead.

Major Topics and Concepts

Segment One:

Define irrational numbers within the real number system and 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
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
Solve multi-step problems involving the order of operations with rational numbers including exponents and radicals
Express numbers in scientific notation to represent and approximate very large or very small quantities
Add, subtract, multiply, and divide numbers expressed in scientific notation with procedural fluency
Solve problems involving operations with numbers expressed in scientific notation
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, including equations with variables on both sides
Determine the real solutions given an equation in the form of x² = p and x³ = q, where p is a whole number and q is an integer
Solve two-step linear inequalities in one variable and represent solutions algebraically and graphically
Apply the Pythagorean Theorem to solve problems involving unknown side lengths in right triangles
Use the Triangle Inequality Theorem to determine if a triangle can be formed from a given set of sides
Use the Pythagorean Theorem to determine if a right triangle can be formed from a given set of sides
Apply the Pythagorean Theorem to solve problems involving the distance between two points in a coordinate plane
Solve 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

Segment Two:

Determine if a linear relationship is also a proportional relationship
Determine slope given a table, graph, or written description of a linear relationship
Write an equation in slope-intercept form given a table, graph, or written description of a linear relationship
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
Graph a two-variable linear equation from a written description, a table, 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
Solve systems of two linear equations by graphing
Given a set of ordered pairs, a table, a graph, or a mapping diagram, determine whether the relationship is a function.
Identify the domain and range of the relation
Analyze a written description or graphical representation of a functional relationship between two quantities and identify where the function is increasing, decreasing or constant
Determine whether a function is a linear function given a graph, equation, or input-output table
Construct a scatter plot or a line graph as appropriate for the context given a set of real-world bivariate numerical data
Describe patterns of association given a scatter plot within a real-world context
Informally fit a straight line given a scatter plot with a linear association
Determine the sample space for a repeated experiment
Find the theoretical probability of an event related to a repeated experiment
Solve problems involving probabilities related to single or repeated experiments, including making predictions based on theoretical probability
Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship
Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane
Given a preimage and image generated by a single dilation, identify the scale factor that describes the relationship
Solve problems involving proportional relationships between similar triangles