• During the third nine weeks, the following units will be explored:

    Unit 7 - One-Variable Inequalities

    6.9(A)  write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;

    6.9(B)  represent solutions for one-variable, one-step equations and inequalities on number lines;

    6.9(C)  write corresponding real-world problems given one-variable, one-step equations or inequalities;

    6.10(A)  model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts;

    6.10(B)  determine if the given value(s) make(s) one-variable, one-step equations or inequalities true;

    7.10(A) write one-variable, tow-step equations and inequalities to represent constraints or conditions within problems;

    7.10(B) represent solutions for one-variable, two-step equations and inequalities on number lines;

    7.10(C) write corresponding real-world problem given a one-variable, two-step equation or inequality;

    7.11(A) model and solve one-variable, two-step equations and inequalities;

    7.11(B) determine if the given value(s) make(s) one-variable, two-step equations and inequalities true.

     

    Unit 8 – Algebraic Representations of Two-Variable Relationships

    6.4(A)  compare two rules verbally, numerically, graphically, and symbolically in the form of y = ax or y = x + a in order to differentiate between additive and multiplicative relationships;

    6.6(A)  identify independent and dependent quantities from tables and graphs;

    6.6(B)  write an equation that represents the relationship between independent and dependent quantities from a table;

    6.6(C)  represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b;

    6.11(A) use coordinate geometry to identify locations on a plane in all four quadrants;

    7.4(A)  represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt;

    7.4(C)  determine the constant of proportionality (k = y/x) within mathematical and real-world problems; and

    7.7(A)  represent linear relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.

     

    Unit 9 – Geometry and Measurements

    6.4(H)  convert units within a measurement system, including the use of proportions and unit rates;

    6.8(A)  extend previous knowledge of triangles and their properties to include the sum of angles of a triangle, the relationship between the lengths of sides and measures of angles in a triangle, and determining when three lengths form a triangle;

    6.8(B)  model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;

    6.8(C)  write equations that represent problems related to the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers;

    6.8(D)  determine solutions for problems involving the area of rectangles, parallelograms, trapezoids, and triangles and volume of right rectangular prisms where dimensions are positive rational numbers;

    7.4(E)  convert between measurement systems, including the use of proportions and the use of unit rates;

    7.8(A)  model the relationship between the volume of a rectangular prism and a rectangular pyramid having both congruent bases and heights and connect that relationship to the formulas;

    7.9(A)  solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids;

    7.9(B)  determine the circumference and area of circles;

    7.9(C)  determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles;

    7.9(D)  solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net; and

    7.11(C)  write and solve equations using geometry concepts, including the sum of the angles in a triangle, and angle relationships.