Jessica Bouthillier
bouthijn@pwcs.edu

Please check google classroom for review materials in addition to any make-up work that you may need to make up. These will be listed as missing and are not required but optional for those who may need it. I will upload materials regularly so please continue to check the page.

Math 8: yaai7fv
Algebra: zkwni3e

# Mathematics Standards of Learning for Virginia Public Schools – 2016 Grade Eight

The standards covered in green were taught, assessed, and remediated

The standards covered in blue were taught partially, possibly assessed but not remediated

The standards in red were not taught at all

## Number and Number Sense

8.1                  The student will compare and order real numbers.

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

8.3                  The student will

1. estimate and determine the two consecutive integers between which a square root lies; and
2. determine both the positive and negative square roots of a given perfect square.

## Computation and Estimation

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

## Measurement and Geometry

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.

8.6                  The student will

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

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

8.7                  The student will

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

b)    identify practical applications of transformations.

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

8.9                  The student will

a)     verify the Pythagorean Theorem; and

b)    apply the Pythagorean Theorem.

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

## Probability and Statistics

8.11                The student will

1. compare and contrast the probability of independent and dependent events; and
2. determine probabilities for independent and dependent events.

8.12                The student will

1. represent numerical data in boxplots;
2. make observations and inferences about data represented in boxplots; and
3. compare and analyze two data sets using boxplots.

8.13                The student will

a)    represent data in scatterplots;

b)    make observations about data represented in scatterplots; and

1. use a drawing to estimate the line of best fit for data represented in a scatterplot.

## Patterns, Functions, and Algebra

8.14                The student will

1. evaluate an algebraic expression for given replacement values of the variables; and
2. simplify algebraic expressions in one variable.

8.15                The student will

1. determine whether a given relation is a function; and
2. determine the domain and range of a function.

8.16                The student will

1. recognize and describe the graph of a linear function with a slope that is positive, negative, or zero;
2. 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;
3. determine the independent and dependent variable, given a practical situation modeled by a linear function;
4. graph a linear function given the equation in y = mx + b form; and
5. make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs.

8.17                The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

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.

Virginia Department of Education © September, 2016

# Mathematics Standards of Learning for Virginia Public Schools – 2016 Algebra I

The standards covered in green were taught, assessed, and remediated

The standards covered in blue were taught partially, possibly assessed but not remediated

The standards in red were not taught at all

## Expressions and Operations

A.1                 The student will

1. represent verbal quantitative situations algebraically; and
2. evaluate algebraic expressions for given replacement values of the variables.

A.2                 The student will perform operations on polynomials, including

a)    applying the laws of exponents to perform operations on expressions;

1. adding, subtracting, multiplying, and dividing polynomials; and

c)    factoring completely first- and second-degree binomials and trinomials in one

variable.

A.3                 The student will simplify

1. square roots of whole numbers and monomial algebraic expressions;
2. cube roots of integers; and
3. numerical expressions containing square or cube roots.

## Equations and Inequalities

A.4                 The student will solve

1. multistep linear equations in one variable algebraically;
2. quadratic equations in one variable algebraically;
3. literal equations for a specified variable;
4. systems of two linear equations in two variables algebraically and graphically; and
1. practical problems involving equations and systems of equations.

A.5                 The student will

1. solve multistep linear inequalities in one variable algebraically and represent the solution graphically;
1. represent the solution of linear inequalities in two variables graphically;
2. solve practical problems involving inequalities; and
3. represent the solution to a system of inequalities graphically.

A.6                 The student will

a)    determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line;

1. write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and
2. graph linear equations in two variables.

## Functions

A.7                 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including

a)    determining whether a relation is a function;

1. domain and range;

c)    zeros;

d)    intercepts;

e)    values of a function for elements in its domain; and

f)     connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs.

## Statistics

A.8                 The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.

A.9             The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of linear and quadratic functions.

Virginia Department of Education © September, 2016