Gwinnett County Public Schools



|First Nine Weeks |Second Nine Weeks |Third Nine Weeks |Fourth Nine Weeks |

|Foundations of Algebra |Algebra - Functions |Algebra Systems of Equations & Inequalities |Data Analysis & Probability |

|Geometry |7-40 compare and contrast how changes in one variable can affect |8-63 write an appropriate system of linear equations or |8-67 demonstrate relationships among |

|7-30 identify and graph ordered pairs of integers on a |another variable |inequalities given a problem context |sets using Venn diagrams |

|four quadrant coordinate plane |8-47 describe and recognize a relation as a correspondence |8-64 solve systems of equations graphically and |8-68 apply basic concepts of set theory |

|Algebra |between varying quantities |algebraically, using technology |by determining subsets, complements, |

|7-35 translate verbal phrases to algebraic exp. |8-48 describe and recognize a function as a correspondence |8-65 graph the solution set of a system of linear |intersection and union of sets |

|7-36 simplify and evaluate algebraic expressions, using |between inputs and outputs |inequalities in two variables |8-69 use set notation to denote elements|

|commutative, associative, and distributive properties as |8-49 compare and contrast between relations that are functions |8-66 interpret solutions of linear equations and inequalities|of a set |

|appropriate |and those that are not functions |in problem contexts |8-74 gather data that can be modeled |

|7-37 add and subtract linear expressions |8-50 describe functions in a variety of representations & |________________________________________________ |with a linear function |

|7-38 use inverse operations and properties of equality to |contexts |Geometry & Constructions |8-75 estimate and determine a line of |

|solve one- and two-step linear equations and inequalities |8-51 use tables to describe sequences recursively and with a |Constructions |best fit from a scatter plot |

|7-39 define a variable, write an equation, solve the |formula in closed form |7-23 copy a segment and an angle using both compass and |_______________________________ |

|equation, and interpret the solution |8-55 translate among verbal, tabular, graphic and algebraic |straight edge and appropriate technology |Pythagorean Theorem |

|7-41 represent, describe and analyze relationships from |representations of functions |7-24 bisect a segment and an angle using both compass and |8-36 apply properties of right |

|tables, graphs and formulas | |straight edge and appropriate technology |triangles, including the Pythagorean |

|Numbers and Operations |Algebra |7-25 construct perpendicular lines, and a line parallel to a |theorem |

|8-27 distinguish between rational and irrational numbers |7-42 use tables to relate linear equations to coordinate plane |given line through a point not on the line using both compass|8-37 recognize and interpret the |

|Algebra |7-43 describe patterns in the graphs of proportional |and straight edge and appropriate technology |Pythagorean theorem as a statement about|

|8-39 simplify and evaluate algebraic expressions |relationships, both direct (y=kx) and inverse (y = k/x) |7-26 recognize that many constructions are based on the |areas of squares on the sides of a right|

|8-48 describe and recognize a function as a correspondence|8-52 analyze and evaluate arithmetic sequences as linear |creation of congruent triangles |triangle |

|between inputs and outputs(assessed 2nd quarter) |functions with whole number input values |________________________________________________ |______________________________ |

|8-55 translate among verbal, tabular, graphic and |8-53 interpret the constant difference in an arithmetic sequence | |CRCT Testing |

|algebraic representations(assessed 2nd quarter) |as the slope of the associated linear function |Transformations | |

|________________________________________ |8-54 describe relations and functions as linear or nonlinear |7-31 demonstrate understanding of basic translations, |Number and Operations |

|Algebra - Graphing Algebraic Equations |8-56 interpret slope as a rate of change |dilations, rotations, reflections, and relate symmetry to |Using all operations with rational, |

|8-38 represent a given situation using algebraic |8-57 determine the meaning of the slope and y-intercept in a |appropriate transformations |irrational numbers, and numbers with |

|expressions or equations in one variable |given situation |7-32 given a figure in the coordinate plane, determine the |integer exponents. |

|8-40 write and solve algebraic equations in one variable, |8-58 graph equations in slope intercept form y = mx + b |coordinates resulting from a translation, dilation, rotation,|8-26 simplify, add, subtract, multiply, |

|to include absolute values |8-59 graph linear equations from standard form Ax + By = C |or reflection |and divide expressions containing square|

|8-41 write and solve equations involving several variables|8-60 graph the solution set of a linear inequality, identifying |7-33 describe three-dimensional figures formed by |roots |

|for one variable in terms of the others |whether the solution set is an open or a closed half-plane |translations and rotations of plane figures through space |8-28 simplify expressions containing |

|8-42 interpret solutions of algebraic expressions and |8-61 determine the equation of a line given a graph, numerical |Cross Sections |integer exponents |

|equations in problem contexts |information that defines the line and a context involving a |7-34 sketch, model, and describe cross-sections of cones, | |

|_________________________________________ |linear relationship |cylinders, pyramids, and prisms |_______________________________ |

|Algebra with Inequalities |8-62 solve problems involving linear relationships |Transversals | |

|8-43 represent a given situation using an inequality in | |8-31 investigate characteristics of parallel and |Accelerated Integrated Algebra I Preview|

|one variable | |perpendicular lines algebraically | |

|8-44 use the properties of inequality to solve | |8-32 investigate characteristics of parallel and | |

|inequalities | |perpendicular lines geometrically | |

|8-45 graph the solution of an inequality on a number line | |8-33 apply properties of angle pairs formed by parallel lines| |

|8-46 interpret solutions to inequalities in problem | |cut by a transversal | |

|contexts | |8-34 explain the properties of the ratio of segments of | |

| | |parallel lines cut by one or more transversals | |

| | |8-35 explain the meaning of congruence | |

|Notes: The order of the units can be changed within a quarter. |

|If time and student need allows, teaching ahead into the next quarter is appropriate. |

|AKS with a check mark will be removed for the 2010-11 school year calendar as they are 5th grade AKS. Check pre-test results to determine student instructional need. |

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|Process Skills (AKS 1-19) & Reading Across the Curriculum - Ongoing throughout the year |

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