MA 8.1.2.b Simplify numerical expressions involving exponents and roots (e.g., 4(-2) is the same as 1/16).
MA 8.1.2.c Simplify numerical expressions involving absolute value.
MA 8.1.2.d Multiply and divide numbers using scientific notation.
MA 8.1.2.e Estimate and check reasonableness of answers using appropriate strategies and tools.
MA 8.2 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.2.1 Students will demonstrate, represent, and show relationships with expressions, equations, and inequalities.
MA 8.2.1.a Create algebraic expressions, equations, and inequalities (e.g., two-step, one variable) from word phrases, tables, and pictures.
MA 8.2.1.b Determine and describe the rate of change for given situations through the use of tables and graphs.
MA 8.2.1.c Describe equations and linear graphs as having one solution, no solution, or infinitely many solutions.
MA 8.2.1.d Graph proportional relationships and interpret the slope.
MA 8.2.2 Students will apply the operational properties when evaluating expressions and solving expressions, equations, and inequalities.
MA 8.2.2.a Solve multi-step equations involving rational numbers with the same variable appearing on both sides of the equal sign.
MA 8.2.2.b Solve two-step inequalities involving rational numbers and represent solutions on a number line.
MA 8.2.3 Students will solve real-world problems involving multi-step equations and multi-step inequalities.
MA 8.2.3.a Describe and write equations from words, patterns, and tables.
MA 8.2.3.b Write a multi-step equation to represent real-world problems using rational numbers in any form.
MA 8.2.3.c Solve real-world multi-step problems involving rational numbers in any form.
MA 8.3 Students will communicate geometric concepts and measurement concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.3.1 Students will identify and describe geometric characteristics of two- dimensional shapes.
MA 8.3.1.a Determine and use the relationships of the interior angles of a triangle to solve for missing measures.
MA 8.3.1.b Identify and apply geometric properties of parallel lines cut by a transversal and the resulting corresponding, alternate interior, and alternate exterior angles to find missing measures.
MA 8.3.2 Students will determine location, orientation, and relationships on the coordinate plane.
MA 8.3.2.a Perform and describe positions and orientation of shapes under single transformations including rotations (in multiples of 90 degrees about the origin), translations, reflections, and dilations on and off the coordinate plane.