6.6
Expressions, equations, and relationships. The student applies mathematical process standards to use multiple representations to describe algebraic relationships. The student is expected to:
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(A) identify independent and dependent quantities from tables and graphs;
(B) write an equation that represents the relationship between independent and dependent quantities from a table; and
(C) represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b.
6.7
Expressions, equations, and relationships. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:
(A) generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization;
(B) distinguish between expressions and equations verbally, numerically, and algebraically;
(C) determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations; and
(D) generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties.
6.8
Expressions, equations, and relationships. The student applies mathematical process standards to use geometry to represent relationships and solve problems. The student is expected to:
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(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;
(B) model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes;
(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; and
(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.
6.9
Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to represent situations. The student is expected to:
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(A) write one-variable, one-step equations and inequalities to represent constraints or conditions within problems;
(B) represent solutions for one-variable, one-step equations and inequalities on number lines; and
(C) write corresponding real-world problems given one-variable, one-step equations or inequalities.
6.10
Expressions, equations, and relationships. The student applies mathematical process standards to use equations and inequalities to solve problems. The student is expected to:
(A) model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts; and
(B) determine if the given value(s) make(s) one-variable, one-step equations or inequalities true.
