Last updated: 5/26/2015

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Math-Algebra 1 Core Pacing Guide II

Quadratic Equations and Functions

Exponents and Exponential Functions

Interpreting Quantitative and Categorical Data

Solving Quadratic Equations

Solving Quadratic Equations using Zero Property (Factoring)

Solving incomplete Quadratic Equations

Solving Fractional Quadratic Equations

Solving Quadratics by Completing the Square

Solving Quadratics from the graph

Solving Quadratics using the Quadratic Formula

Using the discriminant to determine types of roots

Modeling with Quadratic Equations

 

Systems of Quadratic and Linear Functions

Solving Quadratic-Linear Systems Graphically

Solving Quadratic-Linear Pairs Algebraically

 

Graphing Quadratic Equations

Graphing Quadratic Equations Parent Function

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

Transformations of Quadratic Function 

 

The Square Root Function

Parent of the Square Root Function

Transformations of Square Root Functions

Simplifying square roots

Rationalizing the denominator

Operations with radicals

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

Spread (clustered/ not clustered)

Symmetrical

Skewed left, skewed right

Seleting best center from spread

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

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