Subject/Grade Level/Unit Title  Timeframe/Grading Period  Big Idea/Themes/Understandings  Essential Questions  Standards  Essential Skills  Vocabulary  Assessment Tasks  Resources  

Pythagorean Theorem Define right triangle Discovery of Pythagorean Theorem Use of Pythagorean theorm to find missing side Converse of Pythagorean theorem to prove triangle is a right triangle Triples Geometric Applications (area, perimeter, etc. after determining missing side)
Exponential Functions Exponential Growth and Decay Solving Exponential Equations Graphing Exponential Functions Transformations of Exponential Functions Geometric Sequences Recursive formulas for Arithmetic and Geometric Sequences
Discriptive Statistics Statistics Variables Measures of Central Tendency Box and whisker plots Distributions of Data Comparing sets of data Shapes of Distributions Scatter Plots and lines/curves of best fit Analyzing and predicting from lines and curves of fit Two way tables (categorical data) Choosing a data display

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Pythagorean Theorem The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse Using Pythagorean theorem can determine a missing side of a right triangl The converse of the Pythagorean theoerem can determine if the sides of a triangle are those of a right triangle. Determining a missing side of a right triangle reveals information that can be used in geometric concepts (area, perimeter,etc. ) Know the triples and their multiples Exponential Functions Graph exponential functions Characteristics of exponential functions (including end behavior) Common ratio determined from graph, table and list of points Transformations of exponential functions Solving exponential equations Geometric Sequences (Explicit and recursive)

Pythagorean Theorem How Exponential Functions What are the characteristics of an exponential function? How can you determine the yintercept from the equation? How can you determine if an expontial graph models growth or decay? Can we determine if the exponential graph is growth or decay from the equation? Why does the exponential graph of the parent function, not intersect the xaxis? How can we use exponential functions to solve real life problems? Can you determine the percent of growth or decay from the common factor? What are the siimilarities of the geometric sequences and the exponential functions? Are geometric functions discrete or continuous? How do recursive formulas help us determine numbers in a sequence (arithmetic or geoemetric)?


Exponential Functions Graph exponential functions Understand the characteristics of the graphs Understand the yintercept Recognize exponential growth and exponential decay Write the domain and range of given exponential functions Determine from the equation if the function is growth and decay Describe the end behavior of the graph Determine average rate of change of intervals of exponential functions Solve exponential equations with technology and algebra Solve real life problems using growth and decay Recognize the geometric sequences Write explicit formula for geometric sequences Write recursive formulas for both arithmetic and geometric sequences Examine transformations of exponential graphs, compared to the parent function.
Descriptive Statistics Univariate Data Describe different types of data (univariate, bivariate, categorical) Calculate and interpret best centers Examine the affect an outlier has on data Measure the dispersion of data, range and interquartile range Determine the MAD  Mean Average Deviation Determine the Variance, Standard Deviation (Population) Determine representation of dispersion (skewed, symmetric) Determine if skewed left or right, clustered or not Determine best centers and spreads for given data Build Box and Whisker Plots with and without graphing calculator Determine the values of the Five Number Summary Determine first, second and third quartile and percentiles of data Determine spread of dispersion from Box and Whisker Plots Comparing data based on centers, distribution (Spread)
Bivariate Data Build scatter plot Draw trend line or curve Determine Positive, Negative or No relationship (strong or weak) Write equations of line of best fit with and without the calcualtor (regressions) Determine equations (regression) of curves of best fit using calculator Determine if line/ curve is a best fit for data List residuals Graph resdiduals Determine (summarize residuals) Examine correlation coefficient  determine if line/curve is actually a good fit
Categorical Two  Way Display Determine if data is qualitative or quantitative Build a two way table Determine each joint frequency Determine marginal frequencies Determine conditional frequencies

Exponential Functions asymptote common ratio explicit explicit formula exponential decay exponnential decay model exponential function exponential growth exponential growth model general rule geometric sequences recursive explicit compound interest
Descriptive Statistics Univariate Data Central Tendency Mean, Median, Mode Measure of Dispersion Range Interquartile Range Mean Absolute Deviation (MAD) Variance Standard Deviation Box Plot 5 Number Summary Box Plot Frequency Histogram Cumulative Frequency Histogram Distribution Shapes Skewed Bivariate Data Scatter Plot Trend line Possitive Relatonship (association) Negative Relatoinship (association No Relationships (Association) Line of best fit (trend line/curve) Linear Regression Residuals Correlation Coefficient Causation Two way tables Joint frequeny Marginal frequency Conditional frequency Joint relative frequency Marginal relative frequency Conditional relative frequency

Pass the paper Pair share Exit Notes Classroom Assessments Writing prompt Dailly spiral review Weekly spiral review Benchmarks SelfCorrecting Lab Assessment Algebra I Core Assessment STARS Assessment 
Algebra 1  McGraw Hill Education Algebra 1 Amsco School Publications Big Ideas Algebra 1 Big Ideas Learning NYS Modules 