Virginia Standards of Learning
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VA.A.Algebra I
Algebra I
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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Equations and Inequalities
A.4. The student will solve
A.4.a. Multistep linear equations in one variable algebraically.
Flip Charts Math Grade 8
Flip Charts Ratios, Rates & Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations
A.4.c. Literal equations for a specified variable.
Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities
A.4.d. Systems of two linear equations in two variables algebraically and graphically.
Flip Charts Introduction to Functions
Flip Charts Math Grade 8
Flip Charts Systems of Equations
Flip Charts Systems of Equations
A.5. The student will
A.5.a. Solve multistep linear inequalities in one variable algebraically and represent the solution graphically.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations
Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations
A.5.b. Represent the solution of linear inequalities in two variables graphically.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
A.6. The student will
A.6.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.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
A.6.c. Graph linear equations in two variables.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Functions
A.7. The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including
A.7.a. Determining whether a relation is a function.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Expressions and Operations
A.1. The student will
A.1.a. Represent verbal quantitative situations algebraically.
Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities
A.2. The student will perform operations on polynomials, including
A.2.a. Applying the laws of exponents to perform operations on expressions.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
A.2.b. Adding, subtracting, multiplying, and dividing polynomials.
Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents
VA.AFDA.Algebra, Functions, and Data Analysis
Algebra, Functions, and Data Analysis
Data Analysis
AFDA.6. The student will calculate probabilities. Key concepts include
AFDA.6.b. Dependent and independent events.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
AFDA.6.d. Counting techniques (permutations and combinations).
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
AFDA.8. The student will design and conduct an experiment/survey. Key concepts include
AFDA.8.b. Sampling technique.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
AFDA.8.d. Data collection.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
AFDA.8.e. Data analysis and reporting.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Algebra and Functions
AFDA.1. The student will investigate and analyze linear, quadratic, exponential, and logarithmic function families and their characteristics. Key concepts include
VA.AII.Algebra II
Algebra II
Statistics
AII.10. The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
AII.12. The student will compute and distinguish between permutations and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
Functions
AII.5. The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, determining the nth term, and evaluating summation formulas. Notation will include Σ a
Flip Charts Arithmetic & Sequences
Flip Charts Math Grade 8
Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
AII.7. The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include
VA.DM.Discrete Mathematics
Discrete Mathematics
Recursion and Optimization
DM.13. The student will apply the formulas of combinatorics in the areas of
DM.13.a. The Fundamental (Basic) Counting Principle.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
DM.13.c. Permutations and combinations.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
VA.G.Geometry
Geometry
Three-Dimensional Figures
G.14. The student will apply the concepts of similarity to two- or three-dimensional geometric figures. This will include
G.14.a. Comparing ratios between lengths, perimeters, areas, and volumes of similar figures.
Flip Charts Math Grade 8
Flip Charts Ratios, Rates & Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
G.14.d. Solving problems, including practical problems, about similar geometric figures.
Flip Charts Math Grade 8
Flip Charts Ratios, Rates & Proportions
Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents
Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale
Reasoning, Lines, and Transformations
G.2. The student will use the relationships between angles formed by two lines intersected by a transversal to
G.2.a. Prove two or more lines are parallel.
Flip Charts Math Grade 8
Flip Charts Plane Geometry
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
G.2.b. Solve problems, including practical problems, involving angles formed when parallel lines are intersected by a transversal.
Flip Charts Math Grade 8
Flip Charts Plane Geometry
G.3. The student will solve problems involving symmetry and transformation. This will include
G.3.a. Investigating and using formulas for determining distance, midpoint, and slope.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
G.3.b. Applying slope to verify and determine whether lines are parallel or perpendicular.
Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures
G.3.c. Investigating symmetry and determining whether a figure is symmetric with respect to a line or a point.
Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry
VA.MA.Mathematical Analysis
Mathematical Analysis
Discrete Mathematics
MA.14. The student will use mathematical induction to prove formulas and mathematical statements.
Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes
Functions
MA.2. The student will investigate and identify the characteristics of exponential and logarithmic functions to graph the function, solve equations, and solve practical problems.
Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
VA.PS.Probability and Statistics
Probability and Statistics
Data Collection
PS.8. †The student will describe the methods of data collection in a census, sample survey, experiment, and observational study and identify an appropriate method of solution for a given problem setting.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
PS.9. †The student will plan and conduct a survey. The plan will address sampling techniques and methods to reduce bias.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability
Probability
PS.11. †The student will identify and describe two or more events as complementary, dependent, independent, and/or mutually exclusive.
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
PS.12. †The student will determine probabilities (relative frequency and theoretical), including conditional probabilities for events that are either dependent or independent, by applying the Law of Large Numbers concept, the addition rule, and the multiplicatio
Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting
PS.15. The student will identify random variables as independent or dependent and determine the mean and standard deviations for random variables and sums and differences of independent random variables.
Flip Charts Math Grade 8
Flip Charts Organizing & Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
Descriptive Statistics
PS.1. †The student will analyze graphical displays of univariate data, including dotplots, stemplots, boxplots, cumulative frequency graphs, and histograms, to identify and describe patterns and departures from patterns, using central tendency, spread, clusters
Flip Charts Math Grade 8
Flip Charts Organizing & Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
PS.2. †The student will analyze numerical characteristics of univariate data sets to describe patterns and departures from patterns, using mean, median, mode, variance, standard deviation, interquartile range, range, and outliers.
Flip Charts Math Grade 8
Flip Charts Organizing & Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
PS.3. †The student will compare distributions of two or more univariate data sets, numerically and graphically, analyzing center and spread (within group and between group variations), clusters and gaps, shapes, outliers, or other unusual features.
Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data
PS.4. †The student will analyze scatterplots to identify and describe the relationship between two variables, using shape; strength of relationship; clusters; positive, negative, or no association; outliers; and influential points.
Flip Charts Math Grade 8
Flip Charts Organizing & Displaying Data
Quiz, Flash Cards, Worksheet, Game & Study Guide Displaying data
Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data
PS.5. The student will determine and interpret linear correlation, use the method of least squares regression to model the linear relationship between two variables, and use the residual plots to assess linearity.
Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships
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