a. • solve a linear equation with one solution, no solution, and infinitely many solutions.
• explain the when an equation has one solution, no solution, and infinitely many solutions.
b. • simplify equations using distributive property, combining like terms, and inverse operations.
c. • solve multi-step linear equations with rational number coefficients.
d. • apply the Pythagorean Theorem to find an unknown side length of a right triangle.
e. • identify the hypotenuse as the side opposite the right angle in a triangle.
f. • draw a diagram and use the Pythagorean Theorem to solve real-world problems involving right triangles, including three- dimensional figures.
g. • demonstrate the relationship of the three side lengths of any right angle by the use of visual models.
h. • apply algebraic reasoning to relate the visual model to Pythagorean Theorem.
i. • determine if a given triangle is a right triangle using Pythagorean Theorem.