# 6.6-6.10 Expression, Equations and Relationships

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identify independent and dependent quantities from tables and graphs
write an equation that represents the relationship between independent and dependent quantities from a table
represent a given situation using verbal descriptions, tables, graphs, and equations in the form y = kx or y = x + b
generate equivalent numerical expressions using order of operations, including whole number exponents and prime factorization
distinguish between expressions and equations verbally, numerically, and algebraically
determine if two expressions are equivalent using concrete models, pictorial models, and algebraic representations
generate equivalent expressions using the properties of operations: inverse, identity, commutative, associative, and distributive properties
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
model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes
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
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
write one-variable, one-step equations and inequalities to represent constraints or conditions within problems
represent solutions for one-variable, one-step equations and inequalities on number lines
write corresponding real-world problems given one-variable, one-step equations or inequalities
model and solve one-variable, one-step equations and inequalities that represent problems, including geometric concepts
determine if the given value(s) make(s) one-variable, one-step equations or inequalities true

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