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Mathematics
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.PREK: GRADE PreKindergarten
Describe and compare measurable attributes of length and weight of everyday objects.
Classify objects and count the number of objects in each category.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.K: GRADE K
Describe and compare attributes of length, area, weight, and capacity of everyday objects.
Classify objects and count the number of objects in each category.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.1: GRADE 1
Order lengths and measure them both indirectly and by repeating length units.
Tell and write time to the nearest half hour using both analog and digital clocks.
Represent and interpret data using tables/charts
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.2: GRADE 2
Measure and estimate lengths in standard units using appropriate tools.
Tell and write time to the nearest five minutes using both analog and digital clocks.
Solve problems and make change using coins and paper currency with appropriate symbols.
Represent and interpret data using line plots, picture graphs, and bar graphs.
Extend the concepts of addition and subtraction to problems involving length.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.3: GRADE 3
Solve problems involving measurement and estimation of temperature, liquid volume, mass or length.

Assessment Anchor  M03.DM.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.

Anchor Descriptor  M03.DM.1.1 Determine or calculate time and elapsed time.

Eligible Content  M03.DM.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.

Alternate Eligible Content  M03.DM.1.1.1a Tell time to the hour orhalf hour on a clock.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).


Anchor Descriptor  M03.DM.1.2 Use the attributes of liquid volume, mass, and length of objects.

Eligible Content  M03.DM.1.2.1 Measure and estimate liquid volumes and masses of objects using standard units (cups [c], pints [pt], quarts [qt], gallons [gal], ounces [oz.], and pounds [lb]) and metric units (liters [l], grams [g], and kilograms [kg]).

Alternate Eligible Content  M03.DM.1.2.1a Identify and use the appropriate measurement tool based on the situation.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.2.2 Add, subtract, multiply, and divide to solve onestep word problems involving masses or liquid volumes that are given in the same units.

Eligible Content  M03.DM.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.

Alternate Eligible Content  M03.DM.1.2.3a Use a ruler and measure to the nearest inch (exact measurement).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Anchor Descriptor  M03.DM.1.3 Count, compare, and make change using a collection of coins and onedollar bills.

Eligible Content  M03.DM.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.

Alternate Eligible Content  M03.DM.1.3.1a Count money using coinsor onedollar bills.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.3.2 Make change for an amount up to $5.00 with no more than $2.00 change given (penny, nickel, dime, quarter, and dollar).

Eligible Content  M03.DM.1.3.3 Round amounts of money to the nearest dollar.


Tell and write time to the nearest minute and solve problems by calculating time intervals.

Assessment Anchor  M03.DM.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.

Anchor Descriptor  M03.DM.1.1 Determine or calculate time and elapsed time.

Eligible Content  M03.DM.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.

Alternate Eligible Content  M03.DM.1.1.1a Tell time to the hour orhalf hour on a clock.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).


Anchor Descriptor  M03.DM.1.2 Use the attributes of liquid volume, mass, and length of objects.

Eligible Content  M03.DM.1.2.1 Measure and estimate liquid volumes and masses of objects using standard units (cups [c], pints [pt], quarts [qt], gallons [gal], ounces [oz.], and pounds [lb]) and metric units (liters [l], grams [g], and kilograms [kg]).

Alternate Eligible Content  M03.DM.1.2.1a Identify and use the appropriate measurement tool based on the situation.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.2.2 Add, subtract, multiply, and divide to solve onestep word problems involving masses or liquid volumes that are given in the same units.

Eligible Content  M03.DM.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.

Alternate Eligible Content  M03.DM.1.2.3a Use a ruler and measure to the nearest inch (exact measurement).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Anchor Descriptor  M03.DM.1.3 Count, compare, and make change using a collection of coins and onedollar bills.

Eligible Content  M03.DM.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.

Alternate Eligible Content  M03.DM.1.3.1a Count money using coinsor onedollar bills.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.3.2 Make change for an amount up to $5.00 with no more than $2.00 change given (penny, nickel, dime, quarter, and dollar).

Eligible Content  M03.DM.1.3.3 Round amounts of money to the nearest dollar.


Solve problems and make change involving money using a combination of coins and bills.

Assessment Anchor  M03.DM.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.

Anchor Descriptor  M03.DM.1.1 Determine or calculate time and elapsed time.

Eligible Content  M03.DM.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.

Alternate Eligible Content  M03.DM.1.1.1a Tell time to the hour orhalf hour on a clock.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).


Anchor Descriptor  M03.DM.1.2 Use the attributes of liquid volume, mass, and length of objects.

Eligible Content  M03.DM.1.2.1 Measure and estimate liquid volumes and masses of objects using standard units (cups [c], pints [pt], quarts [qt], gallons [gal], ounces [oz.], and pounds [lb]) and metric units (liters [l], grams [g], and kilograms [kg]).

Alternate Eligible Content  M03.DM.1.2.1a Identify and use the appropriate measurement tool based on the situation.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.2.2 Add, subtract, multiply, and divide to solve onestep word problems involving masses or liquid volumes that are given in the same units.

Eligible Content  M03.DM.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.

Alternate Eligible Content  M03.DM.1.2.3a Use a ruler and measure to the nearest inch (exact measurement).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Anchor Descriptor  M03.DM.1.3 Count, compare, and make change using a collection of coins and onedollar bills.

Eligible Content  M03.DM.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.

Alternate Eligible Content  M03.DM.1.3.1a Count money using coinsor onedollar bills.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.1.3.2 Make change for an amount up to $5.00 with no more than $2.00 change given (penny, nickel, dime, quarter, and dollar).

Eligible Content  M03.DM.1.3.3 Round amounts of money to the nearest dollar.


Represent and interpret data using tally charts, tables, pictographs, line plots, and bar graphs.

Assessment Anchor  M03.DM.2 Represent and interpret data.

Anchor Descriptor  M03.DM.2.1 Organize, display, and answer questions based on data.

Eligible Content  M03.DM.2.1.1 Complete a scaled pictograph and a scaled bar graph to represent a data set with several categories (scales limited to 1, 2, 5, and 10).

Alternate Eligible Content  M03.DM.2.1.1a Add information to a pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M03.DM.2.1.2 Solve one and twostep problems using information to interpret data presented in scaled pictographs and scaled bar graphs (scales limited to 1, 2, 5, and 10). Example 1: (Onestep) “Which category is the largest?” Example 2: (Twostep) “How many more are in category A than in category B?”

Eligible Content  M03.DM.2.1.3 Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Display the data by making a line plot, where the horizontal scale is marked in appropriate units—whole numbers, halves, or quarters.

Eligible Content  M03.DM.2.1.4 Translate information from one type of display to another. Limit to pictographs, tally charts, bar graphs, and tables. Example: Convert a tally chart to a bar graph.


Determine the area of a rectangle and apply the concept to multiplication and to addition.

Assessment Anchor  M03.DM.3 Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

Anchor Descriptor  M03.DM.3.1 Find the areas of plane figures.

Eligible Content  M03.DM.3.1.1 Measure areas by counting unit squares (square cm, square m, square in., square ft, and nonstandard square units).

Eligible Content  M03.DM.3.1.2 Multiply side lengths to find areas of rectangles with wholenumber side lengths in the context of solving realworld and mathematical problems, and represent wholenumber products as rectangular areas in mathematical reasoning.

Alternate Eligible Content  M03.DM.3.1.2a Measure the area of a rectangle by counting squares, tiling, or addition.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Solve problems involving perimeters of polygons and distinguish between linear and area measures.

Assessment Anchor  M03.DM.4 Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.

Anchor Descriptor  M03.DM.4.1 Find and use the perimeters of plane figures.

Eligible Content  M03.DM.4.1.1 Solve realworld and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side length, exhibiting rectangles with the same perimeter and different areas, and exhibiting rectangles with the same area and different perimeters. Use the same units throughout the problem.

Alternate Eligible Content  M03.DM.4.1.1a Find the perimeter of a rectangle.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.4: GRADE 4
Standard  CC.2.4.4.A.1Solve problems involving measurement and conversions from a larger unit to a smaller unit.

Assessment Anchor  M04.DM.1 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

Anchor Descriptor  M04.DM.1.1 Solve problems involving length, weight (mass), liquid volume, time, area, and perimeter.

Eligible Content  M04.DM.1.1.1 Know relative sizes of measurement units within one system of units including standard units (in., ft, yd, mi; oz., lb; and c, pt, qt, gal), metric units (cm, m, km; g, kg; and mL, L), and time (sec, min, hr, day, wk, mo, and yr). Within a single system of measurement, express measurements in a larger unit in terms ofa smaller unit. A table of equivalencies will be provided. Example 1: Know that 1 kg is 1,000 times as heavy as 1 g. Example 2: Express the length of a 4foot snake as 48 in.

Alternate Eligible Content  M04.DM.1.1.1a Identify the appropriate unit of measurement in a realworld problem.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.1.1.2 Use the four operations to solve word problems involving distances, intervals of time (such as elapsed time), liquid volumes, masses of objects; money, including problems involving simple fractions or decimals; and problems that require expressing measurements given in a larger unit in terms of a smaller unit.

Eligible Content  M04.DM.1.1.3 Apply the area and perimeter formulas for rectangles in realworld and mathematical problems (may include finding a missing side length). Whole numbers only. The formulas will be provided.

Alternate Eligible Content  M04.DM.1.1.3a Identify the areaor perimeter of a rectangle.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.1.1.4 Identify time (analog or digital) as the amount of minutes before or after the hour. Example 1: 2:50 is the same as 10 minutes before 3:00. Example 2: Quarter past six is the same as 6:15.


Standard  CC.2.4.4.A.2Translate information from one type of data display to another.

Assessment Anchor  M04.DM.2 Represent and interpret data.

Anchor Descriptor  M04.DM.2.1 Organize, display, and answer questions based on data.

Eligible Content  M04.DM.2.1.1 Make a line plot to display a data set of measurements in fractions of a unit (e.g., intervals of 1/2, 1/4, or 1/8).

Alternate Eligible Content  M04.DM.2.1.1a Organize data into a pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.2.1.2 Solve problems involving addition and subtraction of fractions by using information presented in line plots (line plots must be labeled with common denominators, such as 1/4, 2/4, 3/4).

Alternate Eligible Content  M04.DM.2.1.2a Answer a question aboutdata in a pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.2.1.3 Translate information from one type of display to another (table, chart, bar graph, or pictograph).


Standard  CC.2.4.4.A.4Represent and interpret data involving fractions using information provided in a line plot.

Assessment Anchor  M04.DM.2 Represent and interpret data.

Anchor Descriptor  M04.DM.2.1 Organize, display, and answer questions based on data.

Eligible Content  M04.DM.2.1.1 Make a line plot to display a data set of measurements in fractions of a unit (e.g., intervals of 1/2, 1/4, or 1/8).

Alternate Eligible Content  M04.DM.2.1.1a Organize data into a pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.2.1.2 Solve problems involving addition and subtraction of fractions by using information presented in line plots (line plots must be labeled with common denominators, such as 1/4, 2/4, 3/4).

Alternate Eligible Content  M04.DM.2.1.2a Answer a question aboutdata in a pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M04.DM.2.1.3 Translate information from one type of display to another (table, chart, bar graph, or pictograph).


Standard  CC.2.4.4.A.6Measure angles and use properties of adjacent angles to solve problems.

Assessment Anchor  M04.DM.3 Geometric measurement: understand concepts of angle; measure and create angles.

Anchor Descriptor  M04.DM.3.1 Use appropriate tools and units to sketch an angle and determine angle measurements.

Eligible Content  M04.DM.3.1.1 Measure angles in wholenumber degrees using a protractor. With the aid of a protractor, sketch angles of specified measure.

Eligible Content  M04.DM.3.1.2 Solve addition and subtraction problems to find unknown angles on a diagram in realworld and mathematical problems. (Angles must be adjacent and nonoverlapping.)
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.5: GRADE 5
Standard  CC.2.4.5.A.1Solve problems using conversions within a given measurement system.

Assessment Anchor  M05.DM.1 Convert like measurement units within a given measurement system.

Anchor Descriptor  M05.DM.1.1 Solve problems using simple conversions (may include multistep, realworld problems).

Eligible Content  M05.DM.1.1.1 Convert between differentsized measurement units within a given measurement system. A table of equivalencies will be provided. Example: Convert 5 cm to meters.

Alternate Eligible Content  M05.DM.1.1.1a Useaconversion table to identify equivalent standard measurements of length or mass.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Standard  CC.2.4.5.A.2Represent and interpret data using appropriate scale.

Assessment Anchor  M05.DM.2 Represent and interpret data.

Anchor Descriptor  M05.DM.2.1 Organize, display, and answer questions based on data.

Eligible Content  M05.DM.2.1.1 Solve problems involving computation of fractions by using information presented in line plots.

Eligible Content  M05.DM.2.1.2 Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs, and use a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

Alternate Eligible Content  M05.DM.2.1.2a Interpret one set of data given in 2 different displays.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Standard  CC.2.4.5.A.4Solve problems involving computation of fractions using information provided in a line plot.

Assessment Anchor  M05.DM.2 Represent and interpret data.

Anchor Descriptor  M05.DM.2.1 Organize, display, and answer questions based on data.

Eligible Content  M05.DM.2.1.1 Solve problems involving computation of fractions by using information presented in line plots.

Eligible Content  M05.DM.2.1.2 Display and interpret data shown in tallies, tables, charts, pictographs, bar graphs, and line graphs, and use a title, appropriate scale, and labels. A grid will be provided to display data on bar graphs or line graphs.

Alternate Eligible Content  M05.DM.2.1.2a Interpret one set of data given in 2 different displays.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Standard  CC.2.4.5.A.5Apply concepts of volume to solve problems and relate volume to multiplication and to addition.

Assessment Anchor  M05.DM.3 Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Anchor Descriptor  M05.DM.3.1 Use, describe, and develop procedures to solve problems involving volume.

Eligible Content  M05.DM.3.1.1 Apply the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of right rectangular prisms with wholenumber edge lengths in the context of solving realworld and mathematical problems. Formulas will be provided.

Eligible Content  M05.DM.3.1.2 Find volumes of solid figures composed of two nonoverlapping right rectangular prisms.

Alternate Eligible Content  M05.DM.3.1.2a Find volume by using filling or multiplication.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.6: GRADE 6
Standard  CC.2.4.6.B.1Demonstrate an understanding of statistical variability by displaying, analyzing, and summarizing distributions.

Assessment Anchor  M06.DS.1 Demonstrate understanding of statistical variability by summarizing and describing distributions.

Anchor Descriptor  M06.DS.1.1 Display, analyze, and summarize numerical data sets in relation to their context.

Eligible Content  M06.DS.1.1.1 Display numerical data in plots on a number line, including line plots, histograms, and boxandwhisker plots.

Eligible Content  M06.DS.1.1.2 Determine quantitative measures of center (e.g., median, mean, mode) and variability (e.g., range, interquartile range, mean absolute deviation).

Alternate Eligible Content  M06.DS.1.1.2a Identify measures of central tendency (mean, median, mode).
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M06.DS.1.1.3 Describe any overall pattern and any deviations from the overall pattern with reference to the context in which the data were gathered.

Alternate Eligible Content  M06.DS.1.1.3a Compare points in a line plot, histogram, or on a number line.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M06.DS.1.1.4 Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.7: GRADE 7
Standard  CC.2.4.7.B.1Draw inferences about populations based on random sampling concepts.

Assessment Anchor  M07.DS.1 Use random sampling to draw inferences about a population.

Anchor Descriptor  M07.DS.1.1 Use random samples.

Eligible Content  M07.DS.1.1.1 Determine whether a sample is a random sample given a realworld situation.

Eligible Content  M07.DS.1.1.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Example 1: Estimate the mean word length in a book by randomly sampling words from the book. Example 2: Predict the winner of a school election based on randomly sampled survey data.


Standard  CC.2.4.7.B.2Draw informal comparative inferences about two populations.

Assessment Anchor  M07.DS.2 Draw comparative inferences about populations.

Anchor Descriptor  M07.DS.2.1 Use statistical measures to compare two numerical data distributions.

Eligible Content  M07.DS.2.1.1 Compare two numerical data distributions using measures of center and variability. Example 1: The mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team. This difference is equal to approximately twice the variability (mean absolute deviation) on either team. On a line plot, note the difference between the two distributions of heights. Example 2: Decide whether the words in a chapter of a seventh grade science book are generally longer than the words in a chapter of a fourth grade science book.

Alternate Eligible Content  M07.DS.2.1.1a Compare two sets of data within a single pictograph, line plot, or bar graph.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards. 
Alternate Eligible Content  M07.DS.2.1.1b Use measures of central tendency to interpret data, including overall patterns in the data.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Standard  CC.2.4.7.B.3Investigate chance processes and develop, use, and evaluate probability models.

Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).



Assessment Anchor  M07.DS.3 Investigate chance processes and develop, use, and evaluate probability models.

Anchor Descriptor  M07.DS.3.1 Predict or determine the likelihood of outcomes.

Eligible Content  M07.DS.3.1.1 Predict or determine whether some outcomes are certain, more likely, less likely, equally likely, or impossible (i.e., a probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event).

Alternate Eligible Content  M07.DS.3.1.1a Identify the probability of events occurring as possible/impossible or likely/unlikely.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Anchor Descriptor  M07.DS.3.2 Use probability to predict outcomes.

Eligible Content  M07.DS.3.2.1 Determine the probability of a chance event given relative frequency. Predict the approximate relative frequency given the probability. Example: When rolling a number cube 600 times, predict that a 3 or 6 would be rolled roughly 200 times but probably not exactly 200 times.

Eligible Content  M07.DS.3.2.2 Find the probability of a simple event, including the probability of a simple event not occurring. Example: What is the probability of not rolling a 1 on a number cube?

Eligible Content  M07.DS.3.2.3 Find probabilities of independent compound events using organized lists, tables, tree diagrams, and simulation.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.8: GRADE 8
Standard  CC.2.4.8.B.1Analyze and/or interpret bivariate data displayed in multiple representations.

Assessment Anchor  A1.2.2
Coordinate Geometry

Anchor Descriptor  A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.

Eligible Content  A1.2.2.1.1 Identify, describe and/or use constant rates of change.

Eligible Content  A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.

Eligible Content  A1.2.2.1.3
Write or identify a linear equation when given
 the graph of the line
 2 points on the line, or
 the slope and a point on a line,
(Linear equation may be in pointslope, standard and/or slopeintercept form).

Eligible Content  A1.2.2.1.4 Determine the slope and/or yintercept represented by a linear equation or graph.


Anchor Descriptor  A1.2.2.2 Analyze and/or interpret data on a scatter plot.

Eligible Content  A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.



Assessment Anchor  M08.DS.1 Investigate patterns of association in bivariate data.

Anchor Descriptor  M08.DS.1.1 Analyze and interpret bivariate data displayed in multiple representations.

Eligible Content  M08.DS.1.1.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative correlation, linear association, and nonlinear association.

Eligible Content  M08.DS.1.1.2 For scatter plots that suggest a linear association, identify a line of best fit by judging the closeness of the data points to the line.

Alternate Eligible Content  M08.DS.1.1.2a Identify a statement that describes the relationship between variables displayed in a scatterplot.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M08.DS.1.1.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. Example: In a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.


Anchor Descriptor  M08.DS.1.2 Understand that patterns of association can be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table.

Eligible Content  M08.DS.1.2.1 Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible associations between the two variables. Example: Given data on whether students have a curfew on school nights and whether they have assigned chores at home, is there evidence that those who have a curfew also tend to have chores?

Alternate Eligible Content  M08.DS.1.2.1a Answer a question using data from a twoway table.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.



Standard  CC.2.4.8.B.2Understand that patterns of association can be seen in bivariate data utilizing frequencies.

Assessment Anchor  M08.DS.1 Investigate patterns of association in bivariate data.

Anchor Descriptor  M08.DS.1.1 Analyze and interpret bivariate data displayed in multiple representations.

Eligible Content  M08.DS.1.1.1 Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative correlation, linear association, and nonlinear association.

Eligible Content  M08.DS.1.1.2 For scatter plots that suggest a linear association, identify a line of best fit by judging the closeness of the data points to the line.

Alternate Eligible Content  M08.DS.1.1.2a Identify a statement that describes the relationship between variables displayed in a scatterplot.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.


Eligible Content  M08.DS.1.1.3 Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. Example: In a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.


Anchor Descriptor  M08.DS.1.2 Understand that patterns of association can be seen in bivariate categorical data by displaying frequencies and relative frequencies in a twoway table.

Eligible Content  M08.DS.1.2.1 Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible associations between the two variables. Example: Given data on whether students have a curfew on school nights and whether they have assigned chores at home, is there evidence that those who have a curfew also tend to have chores?

Alternate Eligible Content  M08.DS.1.2.1a Answer a question using data from a twoway table.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
 Standard Area  CC.2.4: Measurement, Data and Probability
 Grade Level  CC.2.4.HS: GRADE High School
Standard  CC.2.4.HS.B.1Summarize, represent, and interpret data on a single count or measurement variable.

Assessment Anchor  A1.2.2
Coordinate Geometry

Anchor Descriptor  A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.

Eligible Content  A1.2.2.1.1 Identify, describe and/or use constant rates of change.

Eligible Content  A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.

Eligible Content  A1.2.2.1.3
Write or identify a linear equation when given
 the graph of the line
 2 points on the line, or
 the slope and a point on a line,
(Linear equation may be in pointslope, standard and/or slopeintercept form).

Eligible Content  A1.2.2.1.4 Determine the slope and/or yintercept represented by a linear equation or graph.


Anchor Descriptor  A1.2.2.2 Analyze and/or interpret data on a scatter plot.

Eligible Content  A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.



Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).


Standard  CC.2.4.HS.B.2Summarize, represent, and interpret data on two categorical and quantitative variables.

Assessment Anchor  A1.2.1
Functions

Anchor Descriptor  A1.2.1.1 Analyze and/or use patterns or relations.

Eligible Content  A1.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically.

Eligible Content  A1.2.1.1.2 Determine if a relation is a function given a set of points or a graph.

Eligible Content  A1.2.1.1.3 Identify the domain or range of a relation (may be presented as ordered pairs, a graph, or a table).


Anchor Descriptor  A1.2.1.2 Interpret and/or use linear functions and their equations, graphs or tables.

Eligible Content  A1.2.1.2.1 Create, interpret and/or use the equation, graph or table of a linear function.

Eligible Content  A1.2.1.2.2 Translate from one representation of a linear function to another (graph, table and equation).



Assessment Anchor  A1.2.2
Coordinate Geometry

Anchor Descriptor  A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.

Eligible Content  A1.2.2.1.1 Identify, describe and/or use constant rates of change.

Eligible Content  A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.

Eligible Content  A1.2.2.1.3
Write or identify a linear equation when given
 the graph of the line
 2 points on the line, or
 the slope and a point on a line,
(Linear equation may be in pointslope, standard and/or slopeintercept form).

Eligible Content  A1.2.2.1.4 Determine the slope and/or yintercept represented by a linear equation or graph.


Anchor Descriptor  A1.2.2.2 Analyze and/or interpret data on a scatter plot.

Eligible Content  A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.



Assessment Anchor  A2.2.1
Patterns, Relations, and Functions

Anchor Descriptor  A2.2.1.1 Analyze and/or use patterns or relations.

Eligible Content  A2.2.1.1.1 Analyze a set of data for the existence of a pattern and represent the pattern with a rule algebraically and/or graphically.

Eligible Content  A2.2.1.1.2
Identify and/or extend a pattern as either an arithmetic or geometric sequence (e.g., given a geometric sequence, find the 20^{th} term).

Eligible Content  A2.2.1.1.3 Determine the domain, range or inverse of a relation.

Eligible Content  A2.2.1.1.4 Identify and/or determine the characteristics of an exponential, quadratic, or polynomial function (e.g., intervals of increasing/decreasing, intercepts, zeros, and asymptotes).



Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.



Alternate Eligible Content  CC.2.4.HS.B.2.a Interpret the means and/or medians of two sets of data.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
Standard  CC.2.4.HS.B.3Analyze linear models to make interpretations based on the data.

Assessment Anchor  A1.2.2
Coordinate Geometry

Anchor Descriptor  A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.

Eligible Content  A1.2.2.1.1 Identify, describe and/or use constant rates of change.

Eligible Content  A1.2.2.1.2 Apply the concept of linear rate of change (slope) to solve problems.

Eligible Content  A1.2.2.1.3
Write or identify a linear equation when given
 the graph of the line
 2 points on the line, or
 the slope and a point on a line,
(Linear equation may be in pointslope, standard and/or slopeintercept form).

Eligible Content  A1.2.2.1.4 Determine the slope and/or yintercept represented by a linear equation or graph.


Anchor Descriptor  A1.2.2.2 Analyze and/or interpret data on a scatter plot.

Eligible Content  A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.



Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).



Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.



Alternate Eligible Content  CC.2.4.HS.B.3.a Identify the relationship between two or more variables in a function.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
Standard  CC.2.4.HS.B.4Recognize and evaluate random processes underlying statistical experiments.

Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).



Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.


Standard  CC.2.4.HS.B.5Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.

Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).



Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.



Alternate Eligible Content  CC.2.4.HS.B.5.a Draw a conclusion about data presented in a twoway table representing a realworld problem.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.
Standard  CC.2.4.HS.B.6Use the concepts of independence and conditional probability to interpret data.

Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.


Standard  CC.2.4.HS.B.7Apply the rules of probability to compute probabilities of compound events in a uniform probability model.

Assessment Anchor  A1.2.3
Data Analysis

Anchor Descriptor  A1.2.3.1 Use measures of dispersion to describe a set of data.

Eligible Content  A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.


Anchor Descriptor  A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.

Eligible Content  A1.2.3.2.1 Estimate or calculate to make predictions based on a circle, line, bar graph, measures of central tendency, or other representations.

Eligible Content  A1.2.3.2.2 Analyze data, make predictions, and/or answer questions based on displayed data (boxandwhisker plots, stemandleaf plots, scatter plots, measures of central tendency, or other representations).

Eligible Content  A1.2.3.2.3 Make predictions using the equations or graphs of bestfit lines of scatter plots.


Anchor Descriptor  A1.2.3.3 Apply probability to practical situations.

Eligible Content  A1.2.3.3.1 Find probabilities for compound events (e.g., find probability of red and blue, find probability of red or blue) and represent as a fraction, decimal or percent).



Assessment Anchor  A2.2.3
Data Analysis

Anchor Descriptor  A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.

Eligible Content  A2.2.3.1.1 Draw, identify, find and/or write an equation for a regression model (lines and curves of best fit) for a scatter plot.

Eligible Content  A2.2.3.1.2 Make predictions using the equations or graphs of regression models (lines and curves of best fit) of scatter plots.


Anchor Descriptor  A2.2.3.2 Apply probability to practical situations.

Eligible Content  A2.2.3.2.1 Use combinations, permutations, and the fundamental counting principle to solve problems.

Eligible Content  A2.2.3.2.2 Use odds to find probability and/or use probability to find odds.

Eligible Content  A2.2.3.2.3 Use probability for independent, dependent or compound events to predict outcomes.



Alternate Eligible Content  CC.2.4.HS.B.7.a Identify the probability of events based on realworld examples of conditional probability.
Alternate Eligible Content is designed for students assessed using the PA Alternate System of Assessment (PASA). Essentialized Example resources assist teachers in designing instruction that reduces content complexity while maintaining alignment to academic standards.














