Demonstrate understanding of factors of whole numbers by determining the:

• prime factors
• greatest common factor
• least common multiple
• principal square root
• cube root.

([CN, ME, R])

Demonstrate understanding of irrational numbers in both radical (including mixed radical) and exponent forms through:

• representing
• identifying
• simplifying
• ordering
• relating to rational numbers
• applying exponent laws.

([C, CN, ME, PS, R, V])

Demonstrate understanding of SI and imperial units of measurement including:

• linear measurement
• surface area of spheres, and right cones, cylinders, prisms, and pyramids
• volume of spheres, and right cones, cylinders, prisms, and pyramids
• relationships between and within measurement systems.

([C, CN, ME, PS, R, V])

Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles. ([C, CN, PS, R, T, V])

Demonstrate understanding of the multiplication and factoring of polynomial expressions (concretely, pictorially, and symbolically) including:

• multiplying of monomials, binomials, and trinomials
• common factors
• trinomial factoring
• relating multiplication and factoring of polynomials.

([C, CN, R, V])

Expand and apply understanding of relations and functions including:

• relating data, graphs, and situations
• analyzing and interpreting
• distinguishing between relations and functions.

([C, CN, R, T, V])

Demonstrate, with and without the use of technology, understanding of slope (concretely, pictorially, and symbolically) with respect to:

• line segments and lines
• rate of change
• ratio of rise to run
• parallel lines
• perpendicular lines.

([PS, R, V])

Demonstrate understanding of linear relations including:

• representing in words, ordered pairs, tables of values, graphs, function notation, and equations
• determining characteristics including intercepts, slope, domain, and range
• relating different equation forms to each other and to graphs.

([C, CN, PS, R, T, V])

Demonstrate understanding of the writing and application of equations of linear relations, given:

• a graph of a relation
• a point that satisfies a relation and the slope of the relation
• two distinct points that satisfy a relation
• a point that satisfies the relation and the equation of a line parallel or perpendicular to the relation.

([CN, PS, R, V])

Solve problems that involve systems of linear equations in two variables, graphically and algebraically. ([CN, PS, R, T, V])