Last updated: 5/26/2015 ## Math-Algebra 1 Core Pacing Guide II

Exponents and Exponential Functions

Interpreting Quantitative and Categorical Data

Solving Quadratic Equations using Zero Property (Factoring)

Solving Quadratics by Completing the Square

Using the discriminant to determine types of roots

Systems of Quadratic and Linear Functions

Graphing Standard Form of Quadratic Functions

Determining Vertex and Axis of Symmetry on graph

Writing Quadratic equations in vertex form

Determining transformations from vertex form of quadratic equation

The Square Root Function

Parent of the Square Root Function

Transformations of Square Root Functions

Simplifying square roots

Rationalizing the denominator

Solving Square Root Equations

Pythagorean Theorem

Pythagorean Theorem

Using the Pythagorean Theorem

Converse of Pythaorean Theorem

Cubic Functions

Graphing Cubic Functions

Solving Cubic equations

Exponential Functions

Exponents and Exponential Functions

Laws of Exponents (review)

Rewriting powers with positive exponents

Evaluating fractional exponents

Evaluating negative fractional exponents

The Exponential Function

Graphing Exponetial Function

Transformation of Exponential Functions

Applications of Exponential Functions (Growth and Decay)

Growth Factor, Base

Compound Interest

Solving Exponential Equations-creating same base

Sequences Arithmetic and Geometric Sequences

Recursive Arithmetic and Geometric Sequences

Functions

Examining end behavior

Comparing functions

Maxima or Minima

Relative Maximum and Relative Minimum

Average Rate of change

Descriptive Statistics

Statistics

Categorical

Quantitative

Univariate/Bivariate Data

Types of Data

Categorical Data

Quantitative Data

Univariate Data

Bivariate Data

Biased

Unbiased

Types of Variables

Categorical and Quantitative Variables

Univariate

Single

Grouped (Equal Intervals)

Displaying Univariate Data

Bias in graphing

Histogram

Cumuative Frequency Histogram

Box Plot and Whisker Plots-Five-Number Summary

Quantitative Data Calculations

Centers of Measure-Mean, Median and Mode

Range

Percentiles and Quartiles

Interquartile Range

Five Box Summary

Deviation

Mean Absolute Deviation

Standard Deviation

Variance

Distributions and Comparisons

Symmetrical

Skewed left, skewed right

Best Center

Best Spread (range or interquartile range)

Bivariate Data

Scatter Plot

Line/Curve of best fit

Determining linear regressions without calc

Determining Quadratic and Exponential with the calculator

Interpolate/ Extrapolate (making predictions)

Reasonableness of line/curve of best fit

Types of Correlation (Positive, negative, none)

Strong or weak association

Correlation ratio

Positive or negative correlations/ strong or weak

Strong association vs causation

Residuals and Residual graph

Characteristics of Categorical and Quantitative Data

Single

Grouped

Displays of Categorical Data

Two way frequency table

Variables

Row and column variables

Joint and Marginal Frequencies

Relative Frequencies - joint, marginal, and conditional

Error in measurement

Review for exam

Practice Exams

Reteaching topics 