Algebra, Functions, and Data Analysis Pacing Harrisonburg City Public Schools

Adopted Text: Algebra, Functions, and Data Analysis: A Virginia Course, The Consortium for Foundation Mathematics

First 6 weeks

Time
Days / SOL / Topic / Text Correlation / Enhanced Scope and Sequence Correlation / Vocabulary
8 / AFDA.8 / Data Gathering
-Mean, Median, Mode
-Graphical Representations
-Data Gathering Activity / 7.1- 7.4 / Bar Graph, Box and Whisker Plot, Central Tendency, Circle Graph, Dot Plot, Frequency, Frequency Distribution, Histogram, Interquartile, Mean, Median, Mode, Outliers, Range, Stem and leaf plot, Univariate
4 / AFDA.8 / Experimental Design: Surveying and Sampling
-Sample Size
-Sampling Techniques
-Controlling Sources of Bias and Experimental Error
-Data Collection / 7.5 – 7.8 / Organizing Topic: Data Analysis – Activity VI / Bias, Blindness, Census, Cluster Sampling, Controlled Experiment, Control Group, Data Collection Methods, Experimental Error, Observational Study, Population, Randomization, Sample, Sample Survey Sampling Techniques, Simple Random Sampling, Statistic, Stratified Sampling, Survey
10 / AFDA.7 / Normal Distribution/Spread
-Measuring the Variability of a Frequency Distribution
-Normally Distributed Data
-Percentiles
-Normalizing Data Using z-scores
-Area Under the Standard Normal Curve and Probability / 7.9-7.12 / Organizing Topic: Data Analysis – Activity I, II, II, IV, and V / Area under a Normal Curve, Central Tendency, Dispersion, Normal Probability Distribution, Outliers, Percentiles, Position, Range, Standard Deviation, Standard Normal Curve, Standard Scores, Variance, Univariate, z-score
8 / AFDA.6 / Introduction to Probability
-Determine Probabilities of Random Events
-Law of Large Numbers
-Multiplication and Addition Principles
-Dependent and Independent Events
-Conditional Probability / 6.1 – 6.4 / Organizing Topic: Probability – Activity I, II, and IV / Area Models, Conditional Probabilities, Complementary Events, Dependent, Independent, Experimental Probability, Joint Probability, Law of Large Numbers, Multiplication Principle, Mutually Exclusive, Probability, Sample Space, Theoretical Probability

Algebra, Functions, and Data Analysis Pacing Harrisonburg City Public Schools

Adopted Text:Algebra, Functions, and Data Analysis: A Virginia Course, The Consortium for Foundation Mathematics Second 6 weeks

Time
Days / SOL / Topic / Text Correlation / Enhanced Scope and Sequence Correlation / Vocabulary
6 / AFDA.6 / Probability and Counting
-Conditional Probabilities
-Counting Techniques: Permutations and Combinations / 6.5 – 6.7 / Organizing Topic: Probability – Activity III / Area Models, Complement of an Event, Combination, Conditional Probability, Experimental Probability, Factorial Notation, Joint Probability, Mutually Exclusive, Permutations, Theoretical Probability
2 / N/A / Problem Solving
-Developing Problem Solving Strategies
-Using Formulas to Solve Problems
- Proportional Relationships / 1.1 – 1.5 / Problem Solving Strategies, Deductive Reasoning, Inductive Reasoning, Ratio, Proportion, Unit Analysis
8 / AFDA.1
AFDA.4 / Functions and Modeling
-Identifying and Representing Trends in Data Pairs
-Identifying and Developing Mathematical Models
-Solving Linear Equations / 1.6 – 1.14 / Axes, Dependent Variable (Output), Domain, Function, Graph, Horizontal Shift, Independent Variable (Input), Mathematical Model, Ordered Pair, Quadrant, Range, Variable, Vertical Line Test, Vertical Shift
10 / AFDA.1
AFDA.4 / Linear Function Models
- Rate of Change
-Linear Relationships
-Graphing and Writing Equations of Lines
-Linear Regression / 2.1 – 2.10 / Organizing Topic: Linear Modeling – Activity I, II, III, and IV / Constant of Variation, Coordinate Plane, Coordinates, Correlation Coefficient, Extrapolation, Horizontal Line, Interpolation, Linear Relationship, Linear Equation, Line of Best Fit, Outliers, Point Slope Form, Rate of Change, Linear Regression, Residual Error, Scatterplot, Slope, Slope Intercept Form, Vertical Line, x – intercept, y – intercept
4 / AFDA.1 / Characteristics of Graphs
-Identifying Characteristics of Graphs
-Vocabulary and Definitions of Functions / 1.13 and Supplementary Materials / Continuous, Discrete, Absolute Maximum, Absolute Minimum, Local Maximum, Local Minimum, Domain, Range, Zeroes, Intercepts, Increasing, Decreasing, Constant, End Behavior, Asymptotes

Algebra, Functions, and Data Analysis Pacing Harrisonburg City Public Schools

Adopted Text: Algebra, Functions, and Data Analysis: A Virginia Course, The Consortium for Foundation Mathematics

Third 6 weeks

Time
Days / SOL / Topic / Text Correlation / Enhanced Scope and Sequence Correlation / Vocabulary
4 / AFDA.1
AFDA.3
AFDA.4 / Quadratic Modeling
-Quadratic Functions
-Graphing and Analyzing Quadratic Models
- Quadratic Regression / 4.1 – 4.4, 4.7 / Organizing Topic: Quadratic Modeling – Activity I, III, IV, V, VI, and VII / Axis of Symmetry, Coefficient, General Form of a Quadratic, Parabola, Polynomial Form of a Quadratic, Quadratic Function, Quadratic Regression Equation, Roots of an Equation, Vertex, Vertex Form of a Quadratic, x-intercept, Zeros of a Function
3 / AFDA.3 / Variation Models
-Direct Variation
-Inverse Variation / 4.8, 4.10 / Asymptotes, Constant of Variation, Direct Variation, Vary Directly, Inverse Variation
3 / AFDA.1
AFDA.2
AFDA.4 / Exponential Models
-Exponential Growth
-Exponential Decay / 5.1 – 5.6 / Organizing Topic: Exponential Modeling – Activity I, II, III, IV, V, and VI / Base, Common Ratio, Decay Factor, Exponent, Exponential Decay, Exponential Function, Exponential Growth, Growth Factor, Horizontal Asymptote, Power, Population Growth
5 / AFDA.1
AFDA.2
AFDA.4 / Logarithmic Models and
-Logarithmic Functions / 5.10-5.13 and Supplementary Materials / Organizing Topic: Logarithmic Modeling – Activity I, II, III / Base, Common Logarithm, Logarithm, Logarithmic Function, Power, Exponent, Reflections, Translations, Dilations
6 / AFDA.2
AFDA.3 / Regressions and Transformational Graphing
-Identifying the Curve of Best Fit to a Set of Data
-Transformations: Translations, Reflections, Dilations, and Rotations / 1.14, 2.4, 2.8-2.10, 4.7, 5.9, 5.12 and Supplementary Materials / Organizing Topic: Logarithmic Modeling Activity II, IV / Linear Regression, Quadratic Regression, Exponential Regression, Logarithmic Regression, Corresponding Angles, Dilation, Glide Reflection, Hypotenuse, Image, Isometry, Line of Symmetry, Point Symmetry, Pre-image, Pythagorean Formula, Reflection, Rotation, Scale, Similar Triangles, Transformation, Translation
4 / AFDA.5 / Linear Programming
-Systems of Equations
-Systems of Inequalities
-Linear Programming / 3.6 -3.8 / Organizing Topic: Linear Programming – Activity I, II, III, and IV / Constraints, Expense, Feasible Region, Income, Inequality, Intersect, Linear Programming, Objective Function, Profit, Solution to a System of Equations, System of Equations, System of Inequalities, Corner Points of a Feasible Region