Standards Detail
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Subject Area - CC.2:
Mathematics
Mathematics
- Standard Area - CC.2.4: Measurement, Data and Probability
- Grade Level - CC.2.4.PREK: GRADE Pre-Kindergarten
Standard - CC.2.4.PREK.A.1
Describe and compare measurable attributes of length and weight of everyday objects.
Standard - CC.2.4.PREK.A.4
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
Standard - CC.2.4.K.A.1
Describe and compare attributes of length, area, weight, and capacity of everyday objects.
Standard - CC.2.4.K.A.4
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
Standard - CC.2.4.1.A.1
Order lengths and measure them both indirectly and by repeating length units.
Standard - CC.2.4.1.A.2
Tell and write time to the nearest half hour using both analog and digital clocks.
Standard - CC.2.4.1.A.4
Represent and interpret data using tables/charts
- Standard Area - CC.2.4: Measurement, Data and Probability
- Grade Level - CC.2.4.2: GRADE 2
Standard - CC.2.4.2.A.1
Measure and estimate lengths in standard units using appropriate tools.
Standard - CC.2.4.2.A.2
Tell and write time to the nearest five minutes using both analog and digital clocks.
Standard - CC.2.4.2.A.3
Solve problems and make change using coins and paper currency with appropriate symbols.
Standard - CC.2.4.2.A.4
Represent and interpret data using line plots, picture graphs, and bar graphs.
Standard - CC.2.4.2.A.6
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
Standard - CC.2.4.3.A.1
Solve problems involving measurement and estimation of temperature, liquid volume, mass or length.
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Assessment Anchor - M03.D-M.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.
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Anchor Descriptor - M03.D-M.1.1 Determine or calculate time and elapsed time.
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Eligible Content - M03.D-M.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).
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Anchor Descriptor - M03.D-M.1.2 Use the attributes of liquid volume, mass, and length of objects.
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Eligible Content - M03.D-M.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]).
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.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.D-M.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.
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Alternate Eligible Content - M03.D-M.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.
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Anchor Descriptor - M03.D-M.1.3 Count, compare, and make change using a collection of coins and one-dollar bills.
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Eligible Content - M03.D-M.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.
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Alternate Eligible Content - M03.D-M.1.3.1a Count money using coinsor one-dollar 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.
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Eligible Content - M03.D-M.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.D-M.1.3.3 Round amounts of money to the nearest dollar.
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Standard - CC.2.4.3.A.2Tell and write time to the nearest minute and solve problems by calculating time intervals.
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Assessment Anchor - M03.D-M.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.
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Anchor Descriptor - M03.D-M.1.1 Determine or calculate time and elapsed time.
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Eligible Content - M03.D-M.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).
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Anchor Descriptor - M03.D-M.1.2 Use the attributes of liquid volume, mass, and length of objects.
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Eligible Content - M03.D-M.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]).
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.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.D-M.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.
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Alternate Eligible Content - M03.D-M.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.
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Anchor Descriptor - M03.D-M.1.3 Count, compare, and make change using a collection of coins and one-dollar bills.
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Eligible Content - M03.D-M.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.
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Alternate Eligible Content - M03.D-M.1.3.1a Count money using coinsor one-dollar 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.
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Eligible Content - M03.D-M.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.D-M.1.3.3 Round amounts of money to the nearest dollar.
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Standard - CC.2.4.3.A.3Solve problems and make change involving money using a combination of coins and bills.
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Assessment Anchor - M03.D-M.1 Solve problems involving measurement and estimation of intervals of time, money, liquid volumes, masses, and lengths of objects.
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Anchor Descriptor - M03.D-M.1.1 Determine or calculate time and elapsed time.
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Eligible Content - M03.D-M.1.1.1 Tell, show, and/or write time (analog) to the nearest minute.
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.1.1.2 Calculate elapsed time to the minute in a given situation (total elapsed time limited to 60 minutes or less).
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Anchor Descriptor - M03.D-M.1.2 Use the attributes of liquid volume, mass, and length of objects.
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Eligible Content - M03.D-M.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]).
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.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.D-M.1.2.3 Use a ruler to measure lengths to the nearest quarter inch or centimeter.
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Alternate Eligible Content - M03.D-M.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.
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Anchor Descriptor - M03.D-M.1.3 Count, compare, and make change using a collection of coins and one-dollar bills.
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Eligible Content - M03.D-M.1.3.1 Compare total values of combinations of coins (penny, nickel, dime, and quarter) and/or dollar bills less than $5.00.
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Alternate Eligible Content - M03.D-M.1.3.1a Count money using coinsor one-dollar 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.
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Eligible Content - M03.D-M.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.D-M.1.3.3 Round amounts of money to the nearest dollar.
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Standard - CC.2.4.3.A.4Represent and interpret data using tally charts, tables, pictographs, line plots, and bar graphs.
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Assessment Anchor - M03.D-M.2 Represent and interpret data.
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Anchor Descriptor - M03.D-M.2.1 Organize, display, and answer questions based on data.
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Eligible Content - M03.D-M.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).
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Alternate Eligible Content - M03.D-M.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.
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Eligible Content - M03.D-M.2.1.2 Solve one- and two-step problems using information to interpret data presented in scaled pictographs and scaled bar graphs (scales limited to 1, 2, 5, and 10). Example 1: (One-step) “Which category is the largest?” Example 2: (Two-step) “How many more are in category A than in category B?”Eligible Content - M03.D-M.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.D-M.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.
Standard - CC.2.4.3.A.5Determine the area of a rectangle and apply the concept to multiplication and to addition.
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Assessment Anchor - M03.D-M.3 Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
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Anchor Descriptor - M03.D-M.3.1 Find the areas of plane figures.
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Eligible Content - M03.D-M.3.1.1 Measure areas by counting unit squares (square cm, square m, square in., square ft, and non-standard square units).Eligible Content - M03.D-M.3.1.2 Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving real-world and mathematical problems, and represent whole-number products as rectangular areas in mathematical reasoning.
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Alternate Eligible Content - M03.D-M.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.
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Standard - CC.2.4.3.A.6Solve problems involving perimeters of polygons and distinguish between linear and area measures.
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Assessment Anchor - M03.D-M.4 Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
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Anchor Descriptor - M03.D-M.4.1 Find and use the perimeters of plane figures.
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Eligible Content - M03.D-M.4.1.1 Solve real-world 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.
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Alternate Eligible Content - M03.D-M.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.
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Assessment Anchor - M04.D-M.1 Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
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Anchor Descriptor - M04.D-M.1.1 Solve problems involving length, weight (mass), liquid volume, time, area, and perimeter.
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Eligible Content - M04.D-M.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 4-foot snake as 48 in.
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Alternate Eligible Content - M04.D-M.1.1.1a Identify the appropriate unit of measurement in a real-world 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.
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Eligible Content - M04.D-M.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.D-M.1.1.3 Apply the area and perimeter formulas for rectangles in real-world and mathematical problems (may include finding a missing side length). Whole numbers only. The formulas will be provided.
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Alternate Eligible Content - M04.D-M.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.
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Eligible Content - M04.D-M.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.
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Standard - CC.2.4.4.A.2Translate information from one type of data display to another.
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Assessment Anchor - M04.D-M.2 Represent and interpret data.
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Anchor Descriptor - M04.D-M.2.1 Organize, display, and answer questions based on data.
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Eligible Content - M04.D-M.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).
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Alternate Eligible Content - M04.D-M.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.
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Eligible Content - M04.D-M.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).
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Alternate Eligible Content - M04.D-M.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.
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Eligible Content - M04.D-M.2.1.3 Translate information from one type of display to another (table, chart, bar graph, or pictograph).
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Standard - CC.2.4.4.A.4Represent and interpret data involving fractions using information provided in a line plot.
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Assessment Anchor - M04.D-M.2 Represent and interpret data.
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Anchor Descriptor - M04.D-M.2.1 Organize, display, and answer questions based on data.
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Eligible Content - M04.D-M.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).
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Alternate Eligible Content - M04.D-M.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.
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Eligible Content - M04.D-M.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).
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Alternate Eligible Content - M04.D-M.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.
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Eligible Content - M04.D-M.2.1.3 Translate information from one type of display to another (table, chart, bar graph, or pictograph).
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Standard - CC.2.4.4.A.6Measure angles and use properties of adjacent angles to solve problems.
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Assessment Anchor - M04.D-M.3 Geometric measurement: understand concepts of angle; measure and create angles.
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Anchor Descriptor - M04.D-M.3.1 Use appropriate tools and units to sketch an angle and determine angle measurements.
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Eligible Content - M04.D-M.3.1.1 Measure angles in whole-number degrees using a protractor. With the aid of a protractor, sketch angles of specified measure.Eligible Content - M04.D-M.3.1.2 Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must be adjacent and non-overlapping.)
- 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.
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Assessment Anchor - M05.D-M.1 Convert like measurement units within a given measurement system.
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Anchor Descriptor - M05.D-M.1.1 Solve problems using simple conversions (may include multistep, real-world problems).
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Eligible Content - M05.D-M.1.1.1 Convert between different-sized measurement units within a given measurement system. A table of equivalencies will be provided. Example: Convert 5 cm to meters.
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Alternate Eligible Content - M05.D-M.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.
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Standard - CC.2.4.5.A.2Represent and interpret data using appropriate scale.
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Assessment Anchor - M05.D-M.2 Represent and interpret data.
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Anchor Descriptor - M05.D-M.2.1 Organize, display, and answer questions based on data.
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Eligible Content - M05.D-M.2.1.1 Solve problems involving computation of fractions by using information presented in line plots.Eligible Content - M05.D-M.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.
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Alternate Eligible Content - M05.D-M.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.
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Standard - CC.2.4.5.A.4Solve problems involving computation of fractions using information provided in a line plot.
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Assessment Anchor - M05.D-M.2 Represent and interpret data.
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Anchor Descriptor - M05.D-M.2.1 Organize, display, and answer questions based on data.
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Eligible Content - M05.D-M.2.1.1 Solve problems involving computation of fractions by using information presented in line plots.Eligible Content - M05.D-M.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.
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Alternate Eligible Content - M05.D-M.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.
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Standard - CC.2.4.5.A.5Apply concepts of volume to solve problems and relate volume to multiplication and to addition.
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Assessment Anchor - M05.D-M.3 Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.
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Anchor Descriptor - M05.D-M.3.1 Use, describe, and develop procedures to solve problems involving volume.
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Eligible Content - M05.D-M.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 whole-number edge lengths in the context of solving real-world and mathematical problems. Formulas will be provided.Eligible Content - M05.D-M.3.1.2 Find volumes of solid figures composed of two non-overlapping right rectangular prisms.
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Alternate Eligible Content - M05.D-M.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.
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Assessment Anchor - M06.D-S.1 Demonstrate understanding of statistical variability by summarizing and describing distributions.
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Anchor Descriptor - M06.D-S.1.1 Display, analyze, and summarize numerical data sets in relation to their context.
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Eligible Content - M06.D-S.1.1.1 Display numerical data in plots on a number line, including line plots, histograms, and box-andwhisker plots.Eligible Content - M06.D-S.1.1.2 Determine quantitative measures of center (e.g., median, mean, mode) and variability (e.g., range, interquartile range, mean absolute deviation).
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Alternate Eligible Content - M06.D-S.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.
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Eligible Content - M06.D-S.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.
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Alternate Eligible Content - M06.D-S.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.
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Eligible Content - M06.D-S.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.
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Assessment Anchor - M07.D-S.1 Use random sampling to draw inferences about a population.
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Anchor Descriptor - M07.D-S.1.1 Use random samples.
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Eligible Content - M07.D-S.1.1.1 Determine whether a sample is a random sample given a real-world situation.Eligible Content - M07.D-S.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.
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Standard - CC.2.4.7.B.2Draw informal comparative inferences about two populations.
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Assessment Anchor - M07.D-S.2 Draw comparative inferences about populations.
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Anchor Descriptor - M07.D-S.2.1 Use statistical measures to compare two numerical data distributions.
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Eligible Content - M07.D-S.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.
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Alternate Eligible Content - M07.D-S.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.D-S.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.
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Standard - CC.2.4.7.B.3Investigate chance processes and develop, use, and evaluate probability models.
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Assessment Anchor - A1.2.3
Data Analysis
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Anchor Descriptor - A1.2.3.1 Use measures of dispersion to describe a set of data.
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Eligible Content - A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.
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Anchor Descriptor - A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.
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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 (box-and-whisker plots, stem-and-leaf 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 best-fit lines of scatter plots.
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Anchor Descriptor - A1.2.3.3 Apply probability to practical situations.
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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).
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Assessment Anchor - M07.D-S.3 Investigate chance processes and develop, use, and evaluate probability models.
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Anchor Descriptor - M07.D-S.3.1 Predict or determine the likelihood of outcomes.
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Eligible Content - M07.D-S.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).
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Alternate Eligible Content - M07.D-S.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.
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Anchor Descriptor - M07.D-S.3.2 Use probability to predict outcomes.
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Eligible Content - M07.D-S.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.D-S.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.D-S.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.
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Assessment Anchor - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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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 point-slope, standard and/or slope-intercept form).
Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.-
Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - M08.D-S.1 Investigate patterns of association in bivariate data.
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Anchor Descriptor - M08.D-S.1.1 Analyze and interpret bivariate data displayed in multiple representations.
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Eligible Content - M08.D-S.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.D-S.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.
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Alternate Eligible Content - M08.D-S.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.
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Eligible Content - M08.D-S.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.
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Anchor Descriptor - M08.D-S.1.2 Understand that patterns of association can be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.
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Eligible Content - M08.D-S.1.2.1 Construct and interpret a two-way 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?
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Alternate Eligible Content - M08.D-S.1.2.1a Answer a question using data from a two-way 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.
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Standard - CC.2.4.8.B.2Understand that patterns of association can be seen in bivariate data utilizing frequencies.
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Assessment Anchor - M08.D-S.1 Investigate patterns of association in bivariate data.
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Anchor Descriptor - M08.D-S.1.1 Analyze and interpret bivariate data displayed in multiple representations.
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Eligible Content - M08.D-S.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.D-S.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.
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Alternate Eligible Content - M08.D-S.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.
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Eligible Content - M08.D-S.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.
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Anchor Descriptor - M08.D-S.1.2 Understand that patterns of association can be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table.
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Eligible Content - M08.D-S.1.2.1 Construct and interpret a two-way 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?
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Alternate Eligible Content - M08.D-S.1.2.1a Answer a question using data from a two-way 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.
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Assessment Anchor - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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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 point-slope, standard and/or slope-intercept form).
Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.-
Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - A1.2.3
Data Analysis
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Anchor Descriptor - A1.2.3.1 Use measures of dispersion to describe a set of data.
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Eligible Content - A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.
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Anchor Descriptor - A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.
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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 (box-and-whisker plots, stem-and-leaf 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 best-fit lines of scatter plots.
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Anchor Descriptor - A1.2.3.3 Apply probability to practical situations.
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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).
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Standard - CC.2.4.HS.B.2Summarize, represent, and interpret data on two categorical and quantitative variables.
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Assessment Anchor - A1.2.1
Functions
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Anchor Descriptor - A1.2.1.1 Analyze and/or use patterns or relations.
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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).
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Anchor Descriptor - A1.2.1.2 Interpret and/or use linear functions and their equations, graphs or tables.
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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).
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Assessment Anchor - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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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 point-slope, standard and/or slope-intercept form).
Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.-
Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - A2.2.1
Patterns, Relations, and Functions
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Anchor Descriptor - A2.2.1.1 Analyze and/or use patterns or relations.
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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 20th 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
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Anchor Descriptor - A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
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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.
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Anchor Descriptor - A2.2.3.2 Apply probability to practical situations.
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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.
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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.
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Assessment Anchor - A1.2.2
Coordinate Geometry
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Anchor Descriptor - A1.2.2.1 Describe, compute and/or use the rate of change (slope) of a line.
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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 point-slope, standard and/or slope-intercept form).
Eligible Content - A1.2.2.1.4 Determine the slope and/or y-intercept represented by a linear equation or graph.-
Anchor Descriptor - A1.2.2.2 Analyze and/or interpret data on a scatter plot.
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Eligible Content - A1.2.2.2.1 Draw, find and/or write an equation for a line of best fit for a scatter plot.
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Assessment Anchor - A1.2.3
Data Analysis
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Anchor Descriptor - A1.2.3.1 Use measures of dispersion to describe a set of data.
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Eligible Content - A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.
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Anchor Descriptor - A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.
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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 (box-and-whisker plots, stem-and-leaf 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 best-fit lines of scatter plots.
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Anchor Descriptor - A1.2.3.3 Apply probability to practical situations.
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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).
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Assessment Anchor - A2.2.3
Data Analysis
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Anchor Descriptor - A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
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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.
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Anchor Descriptor - A2.2.3.2 Apply probability to practical situations.
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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.
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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.
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Assessment Anchor - A1.2.3
Data Analysis
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Anchor Descriptor - A1.2.3.1 Use measures of dispersion to describe a set of data.
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Eligible Content - A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.
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Anchor Descriptor - A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.
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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 (box-and-whisker plots, stem-and-leaf 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 best-fit lines of scatter plots.
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Anchor Descriptor - A1.2.3.3 Apply probability to practical situations.
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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).
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Assessment Anchor - A2.2.3
Data Analysis
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Anchor Descriptor - A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
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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.
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Anchor Descriptor - A2.2.3.2 Apply probability to practical situations.
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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.
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Assessment Anchor - A1.2.3
Data Analysis
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Anchor Descriptor - A1.2.3.1 Use measures of dispersion to describe a set of data.
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Eligible Content - A1.2.3.1.1 Calculate and/or interpret the range, quartiles and interquartile range of data.
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Anchor Descriptor - A1.2.3.2 Use data displays in problem solving settings and/or to make predictions.
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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 (box-and-whisker plots, stem-and-leaf 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 best-fit lines of scatter plots.
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Anchor Descriptor - A1.2.3.3 Apply probability to practical situations.
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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).
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Assessment Anchor - A2.2.3
Data Analysis
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Anchor Descriptor - A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
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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.
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Anchor Descriptor - A2.2.3.2 Apply probability to practical situations.
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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.
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Alternate Eligible Content - CC.2.4.HS.B.5.a Draw a conclusion about data presented in a two-way table representing a real-world 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.
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Assessment Anchor - A2.2.3
Data Analysis
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Anchor Descriptor - A2.2.3.1 Analyze and/or interpret data on a scatter plot and/or use a scatter plot to make predictions.
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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.
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