Math 2E

SOL 8.3 The student will:

a) estimate and determine the two consecutive integers between which a square root lies;

b) determine both the positive and negative square roots of a given perfect square.

SOL 7.1 The student will:

a) investigate and describe the concept of negative exponents for powers of ten;

b) compare and order numbers greater than zero written in scientific notation;

c) compare and order rational numbers;

d) determine square roots of perfect squares; and

e) identify and describe absolute value of rational numbers.

SOL 8.1 The student will compare and order real numbers.

SOL 8.2 The student will describe the relationships between the subsets of the real number system.

SOL 8.14 The student will:

a) evaluate an algebraic expression for given replacement values of the variables; and

b) simplify algebraic expressions in one variable.

SOL 7.11 The student will evaluate algebraic expressions for given replacement values of the variables.

SOL 7.12 The student will solve two-step linear equations in one variable, including practical problems that require the solution of a two-step linear equation in one variable.

SOL 7.13 The student will solve one- and two-step linear inequalities in one variable, including practical problems, involving addition, subtraction, multiplication, and division, and graph the solution on a number line.

SOL 8.18 The student will solve multistep linear inequalities in one variable with the variable on one or both sides of the inequality symbol, including practical problems, and graph the solution on a number line.

SOL 8. 4 The student will solve practical problems involving consumer applications.

SOL 7.2 The student will solve practical problems involving operations with rational numbers.

SOL 7.3 The student will solve single-step and multistep practical problems, using proportional reasoning.

SOL 8.7 The student will:

a) given a polygon, apply transformations, to include translations, reflections, and dilations, in the coordinate plane

b) identify practical applications of transformations.

SOL 7.7 The student will apply translations and reflections of right triangles or rectangles in the coordinate plane.

SOL 8.15 The student will:

a) determine whether a given relation is a function; and

b) determine the domain and range of a function.

SOL 8.16 The student will:

a) recognize and describe the graph of a linear function with a slope that is positive, negative, or zero;

b) identify the slope and y-intercept of a linear function, given a table of values, a graph, or an equation in y = mx + b form

d) graph a linear function given the equation in y = mx + b form; and

SOL 7.10 The student will:

a) determine the slope, m, as rate of change in a proportional relationship between two quantities and write an equation in the form y = mx to represent the relationship;

b) graph a line representing a proportional relationship between two quantities given the slope and an ordered pair, or given the equation in y = mx form where m represents the slope as rate of change;

c) determine the y-intercept, b, in an additive relationship between two quantities and write an equation in the form y = x + b to represent the relationship;

d) graph a line representing an additive relationship between two quantities given the yintercept and an ordered pair, or given the equation in the form y = x + b, where b represents the y-intercept; and

e) make connections between and among representations of a proportional or additive relationship between two quantities using verbal descriptions, tables, equations, and graphs.

SOL 8.9 The student will:

a) verify the Pythagorean Theorem; and

b) apply the Pythagorean Theorem.

SOL 7.5 The student will solve problems, including practical problems, involving the relationship between corresponding sides and corresponding angles of similar quadrilaterals and triangles.

SOL 7.6 The student will:

a) compare and contrast quadrilaterals based on their properties; and

b) determine unknown side lengths or angle measures of quadrilaterals.

SOL 7.5 The student will solve problems, including practical problems, involving the relationship between corresponding sides and corresponding angles of similar quadrilaterals and triangles.

SOL 8.10 The student will solve area and perimeter problems, including practical problems, involving composite plane figures.

SOL 8.8 The student will construct a three-dimensional model, given the top or bottom, side, and front views.

SOL 8.6 The student will:

a) solve problems, including practical problems, involving volume and surface area of cones and square-based pyramids

b) describe how changing one measured attribute of a rectangular prism affects the volume and surface area.

SOL 7.4 The student will:

a) describe and determine the volume and surface area of rectangular prisms and cylinders; and

b) solve problems, including practical problems, involving the volume and surface area of rectangular prisms and cylinders.

SOL 8.13 The student will:

a) represent data in scatterplots;

b) make observations about data represented in scatterplots; and

c) use a drawing to estimate the line of best fit for data represented in a scatterplot

SOL 7.9 The student, given data in a practical situation, will:

a) represent data in a histogram;

b) make observations and inferences about data represented in a histogram; and

c) compare histograms with the same data represented in stem-and-leaf plots, line plots, and circle graphs.

SOL 8.12 The student will:

a) represent numerical data in boxplots;

b) make observations and inferences about data represented in boxplots; and

c) compare and analyze two data sets using boxplots

SOL 8.5 The student will use the relationships among pairs of angles that are vertical angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles.

SOL 7.8 The student will:

a) determine the theoretical and experimental probabilities of an event; and

b) investigate and describe the difference between the experimental probability and theoretical probability of an event.

8.11 The student will:

a) compare and contrast the probability of independent and dependent events; and

b) determine probabilities for independent and dependent events.