Expressions Uses properties of operations to add Uses properties of operations to expand linear Uses properties of operations to factor and subtract linear expressions expressions linear expressions and interprets the result and Solves simple mathematical Uses properties of operations to factor linear in the context of a problem Equations problems numerical and expressions Justifies solutions to multi-step problems algebraic expressions and equations Given a real-world problem, rewrites expressions Analyzes patterns and determines Identifies simple arithmetic and in different forms to show understanding of the expressions for simple arithmetic and geometric sequences from tables, problem geometric sequences tables, graphs, graphs, words and expressions. Interprets the solution of an inequality in a words and expressions Extends patterns in simple problem arithmetic and geometric sequences Solves multi-step mathematical and real-world from tables, graphs, words and problems using numerical and algebraic expressions. expressions and equations Fluently converts between different forms Create equations and inequalities to solve problems Graphs the solutions of an inequality Geometry Draws triangles with given Constructs triangles with given conditions and Finds unknown supplementary, conditions describes some of their attributes complementary, vertical, and adjacent Applies the formulas to find the Describes the shape of the two-dimensional face angles by solving equations circumference of circles of the figure that results from slicing Applies the formulas to find the area figures. of two-dimensional figures, Solves problems involving the relationship including circles between area and circumference of circles Recognizes attributes of angles Solves problems involving the surface area and (supplementary, complementary, volume of three-dimensional shapes vertical, adjacent) Solves mathematical problems involving scale drawings Solves multi-step problems using attributes of angles (supplementary, complementary, vertical, adjacent) Statistics and Makes inferences about a population Uses random sampling to draw inferences about a Evaluates probability models by examining the sample population population Designs and uses a simulation to generate Probability Visually compares two populations Recognizes the probabilities of 0 through 1 as frequencies for compound events on measures of center and likely, unlikely, or neither. Computes the differences of the centers as variability Develops probability models and uses it to find a multiple of the measure of variability for Differentiates between probabilities of events two populations representative and Finds probabilities for compound events using samples organized lists, tables, and tree diagrams Indentifies probability as a number between 0 and 1 Finds probabilities of simple events
Expressions and Equations Uses properties of operations to add and subtract linear expressions Solves simple mathematical problems numerical and algebraic expressions and equations Identifies simple arithmetic and geometric sequences from tables, graphs, words and expressions. Extends patterns in simple arithmetic and geometric sequences from tables, graphs, words and expressions. Uses properties of operations to expand linear expressions Uses properties of operations to factor linear expressions Given a real-world problem, rewrites expressions in different forms to show understanding of the problem Interprets the solution of an inequality in a problem Solves multi-step mathematical and real-world problems using numerical and algebraic expressions and equations Fluently converts between different forms Create equations and inequalities to solve problems Graphs the solutions of an inequality Uses properties of operations to factor linear expressions and interprets the result in the context of a problem Justifies solutions to multi-step problems Analyzes patterns and determines expressions for simple arithmetic and geometric sequences tables, graphs, words and expressions Geometry Draws triangles with given conditions Applies the formulas to find the circumference of circles Applies the formulas to find the area of two-dimensional figures, including circles Recognizes attributes of angles (supplementary, complementary, vertical, adjacent) Constructs triangles with given conditions and describes some of their attributes Describes the shape of the two-dimensional face of the figure that results from slicing figures. Solves problems involving the relationship between area and circumference of circles Solves problems involving the surface area and volume of three-dimensional shapes Solves mathematical problems involving scale drawings Solves multi-step problems using attributes of angles (supplementary, complementary, vertical, adjacent) Finds unknown supplementary, complementary, vertical, and adjacent angles by solving equations Statistics and Probability Makes inferences about a population by examining the sample population Visually compares two populations on measures of center and variability Differentiates between representative and samples Indentifies probability as a number between 0 and 1 Finds probabilities of simple events Uses random sampling to draw inferences about a population Recognizes the probabilities of 0 through 1 as likely, unlikely, or neither. Develops probability models and uses it to find probabilities of events Finds probabilities for compound events using organized lists, tables, and tree diagrams Evaluates probability models Designs and uses a simulation to generate frequencies for compound events Computes the differences of the centers as a multiple of the measure of variability for two populations
standardsetting-execsum.docx