# Posts tagged Math

## Perpendicular and Parallel Lines

CC.9-12.G.GPE.5 – Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

## Parallel and Perpendicular Lines

CC.9-12.G.GPE.5 – Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

## Finding The Length of a Hypotenuse

CC.9-12.G.SRT.8 – Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

## Use Coordinate Geometry to Represent and/or Solve Problems

CC.9-12.G.SRT.8 – Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

## Function Families: Translations and Reflections

CC.9-12.F.BF.3 – Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

## Interpret The Rate of Change (Slope) and Intercepts Within The Context of Everyday Life

CC.9-12.F.LE.5 & CC.9-12.S.ID.7 – Interpret the parameters in a linear or exponential function in terms of a context.

## Communicate Real World Problems in Multiple Ways

CC.9-12.F.LE.3 – Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

## Writing Linear Equations

CC.9-12.F.LE.2 – Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

## Writing Equations of a Line Given Two Points

CC.9-12.F.LE.2 – Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

## Slope and Direct Variation

CC.9-12.F.LE.1b – Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.