Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as trigonometric ratios.

The student will derive and use the slope and midpoint formulas to verify geometric relationship that include parallelism and perpendicularity of lines. Then, the student will determine an equation of a line parallel or perpendicular to a given line.

Given a problem situation, students will use experimental data or theoretical probability to make predictions and determine solutions to situations involving independent events.

Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.

Given examples of triangles and their component parts, the student will use explorations and concrete models to verify and apply the Triangle Inequality theorem and find the sum of interior angles.

Given problem situations, the student will select and use appropriate operations to solve problems and justify the choice of operations.

Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs.

Given a quadratic equation, the student will use tiles to factor and solve the equation.

Given a problem situation, the student will evaluate a method of sampling to determine the validity of an inference made from the set of data.

Given a graph or verbal description of a function, the student will determine the parent function.

Given coordinates of points, the student will use the distance formula to solve problems involving length and distance.

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.

Given pictorial representations, the student will use geometric concepts and properties to solve problems from art and architecture.

Learn about differences between multiple representations in 8th grade and in Algebra I, including tables, equations, and graphs.