• identify the coordinates of a point in a coordinate plane; and
• graph ordered pairs in a coordinate plane.
• The student will determine congruence of segments, angles, and polygons.
• The student will describe and identify properties of quadrilaterals.
• model addition, subtraction, multiplication, and division of integers; and
• add, subtract, multiply, and divide integers.
• The student will solve single-step and multistep practical problems, using proportional reasoning.
• The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid.
• The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane.
• The student will represent relationships with tables, graphs, rules, and words.
• write verbal expressions as algebraic expressions and sentences as equations and vice versa; and
• evaluate algebraic expressions for given replacement values of the variables.
• solve one- and two-step linear equations in one variable; and
• solve practical problems requiring the solution of one- and two-step linear equations.
• solve one-step inequalities in one variable; and
• graph solutions to inequalities on the number line.
• the commutative and associative properties for addition and multiplication;
• the distributive property;
• the additive and multiplicative identity properties;
• the additive and multiplicative inverse properties; and
• the multiplicative property of zero.
• solve practical problems involving rational numbers, percents, ratios, and proportions; and
• determine the percent increase or decrease for a given situation.
• The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables.
• determine whether a given number is a perfect square; and
• find the two consecutive whole numbers between which a square root lies.
• apply transformations to plane figures; and
• identify applications of transformations.
• The student will construct a three-dimensional model, given the top or bottom, side, and front views.
• verify the Pythagorean Theorem; and
• apply the Pythagorean Theorem.
• The student will solve practical area and perimeter problems involving composite plane figures.
• The student will make connections between any two representations (tables, graphs, words, and rules) of a given relationship.
• solve multistep linear equations in one variable with the variable on one and two sides of the equation;
• solve two-step linear inequalities and graph the results on a number line; and
• identify properties of operations used to solve an equation.
• The student will graph a linear equation in two variables.
• The student will identify the domain, range, independent variable, or dependent variable in a given situation.