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Computation and Estimation
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M8.CES.1
The learner will be able to use estimation to determine the reasonableness of a calculation.
| Strand |
Bloom's |
Scope |
| Estimation |
Application |
Master |
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M8.CES.2
The learner will be able to apply appropriate computation techniques to obtain solutions to multi-step real world problems involving fractions, decimals, and integers.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
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M8.CES.3
The learner will be able to evaluate the reasonableness of a given solution.
| Strand |
Bloom's |
Scope |
| Estimation |
Evaluation |
Master |
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Data Analysis, Probability, Statistics
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M8.DPS.1
The learner will be able to create data displays, including circle graphs, line graphs, bar graphs, and box-and-whisker graphs.
| Strand |
Bloom's |
Scope |
| Graphs |
Synthesis |
Master |
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M8.DPS.2
The learner will be able to conduct a study and gather, arrange, and present the data.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Synthesis |
Master |
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M8.DPS.3
The learner will be able to read and determine information presented in various forms, including histograms.
| Strand |
Bloom's |
Scope |
| Graphical Forms |
Application |
Master |
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M8.DPS.4
The learner will be able to determine suitable measures of central tendency of a specific scenario or data set.
| Strand |
Bloom's |
Scope |
| Measures of Central Tendency |
Application |
Master |
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M8.DPS.5
The learner will be able to determine whether a sample is biased.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Comprehension |
Master |
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M8.DPS.6
The learner will be able to predict the odds for and against a particular outcome in a specific real world scenario.
| Strand |
Bloom's |
Scope |
| Probability |
Analysis |
Master |
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M8.DPS.7
The learner will be able to identify the combinations in a given situation (total outfits that can be made from 3 shirts and 3 pairs of pants).
| Strand |
Bloom's |
Scope |
| Combinations |
Application |
Master |
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M8.DPS.8
The learner will be able to identify the permutations in a given situation (how many ways can 5 people seat themselves on a bench).
| Strand |
Bloom's |
Scope |
| Permutations |
Application |
Master |
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M8.DPS.9
The learner will be able to compute simple mathematical probabilities for dependent and independent events.
| Strand |
Bloom's |
Scope |
| Probability |
Application |
Master |
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M8.DPS.10
The learner will be able to analyze and interpret statistics and graphs.
| Strand |
Bloom's |
Scope |
| Data Analysis |
Analysis |
Master |
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M8.GEO.1
The learner will be able to draw the perpendicular bisector of a line segment.
| Strand |
Bloom's |
Scope |
| Lines: Parallel/Perpendicular |
Application |
Master |
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M8.GEO.2
The learner will be able to explain the properties of two-dimensional and three-dimensional shapes.
| Strand |
Bloom's |
Scope |
| Properties of Figures |
Comprehension |
Master |
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M8.GEO.3
The learner will be able to identify the basic concepts of right triangle trigonometry.
| Strand |
Bloom's |
Scope |
| Triangles |
Analysis |
Master |
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M8.GEO.4
The learner will be able to develop and use the principles of the Pythagorean Theorem to solve real world problems.
| Strand |
Bloom's |
Scope |
| Pythagorean Theorem |
Synthesis |
Master |
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M8.GEO.5
The learner will be able to identify types and properties of angles created by parallel lines cut by transversal.
| Strand |
Bloom's |
Scope |
| Lines/Angles/Polygons |
Knowledge |
Master |
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M8.GEO.6
The learner will be able to recognize congruence in geometric figures and describe the relationship among corresponding parts.
| Strand |
Bloom's |
Scope |
| Congruence |
Comprehension |
Master |
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M8.GEO.7
The learner will be able to formulate, and test conjectures with respect to geometric properties and relationships among regular and irregular figures of two and three dimensions.
| Strand |
Bloom's |
Scope |
| Geometric Relationships |
Analysis |
Master |
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M8.GEO.8
The learner will be able to observe, describe, and formulate conjectures with respect to geometric properties and relationships among angles, lines, regular and irregular polygons.
| Strand |
Bloom's |
Scope |
| Geometric Relationships |
Synthesis |
Master |
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M8.MEA.1
The learner will be able to solve real world or mathematical problems that involve the effects of changes to the dimensions of a shape or the volume, surface area, area, perimeter, or circumference of the shape.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Analysis |
Master |
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M8.MEA.2
The learner will be able to explain and apply rates of change and other derived measures.
| Strand |
Bloom's |
Scope |
| Measurement: Application |
Evaluation |
Master |
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M8.MEA.3
The learner will be able to use models to investigate and develop formulas for surface area and volume of three-dimensional figures including prisms, pyramids, cylinders, and cones.
| Strand |
Bloom's |
Scope |
| Formulas |
Application |
Master |
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M8.MEA.4
The learner will be able to use proportional relationships and properties of similar geometric shapes to determine measures of length, weight/mass, and capacity/volume.
| Strand |
Bloom's |
Scope |
| Measurement: Relationships |
Application |
Master |
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M8.MEA.5
The learner will be able to convert measurements within the metric system to solve problems.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Application |
Master |
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M8.MEA.6
The learner will be able to state the number of significant digits as it relates to the least precise measurement unit.
| Strand |
Bloom's |
Scope |
| Accuracy |
Knowledge |
Master |
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M8.MEA.7
The learner will be able to explain the way in which a change in the perimeter, area, circumference, surface area, or volume of a figure affect the figure's dimensions.
| Strand |
Bloom's |
Scope |
| Perimeter/Area/Volume |
Analysis |
Master |
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M8.MEA.8
The learner will be able to solve real world problems that involve surface area and volume of three-dimensional figures and the volume and solve real world or mathematical problems that involve the effects of changes to the dimensions of a shape involving area, perimeter, or circumference.
| Strand |
Bloom's |
Scope |
| Surface Area |
Comprehension |
Master |
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M8.MEA.9
The learner will be able to use formulas for determining rates; distance; and time.
| Strand |
Bloom's |
Scope |
| Distance/Rate/Time/Acceleration |
Application |
Master |
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M8.MEA.10
The learner will be able to apply the Pythagorean Theorem and trigonometric ratios to determine the measure of the sides and angles of a right triangle.
| Strand |
Bloom's |
Scope |
| Pythagorean Theorem |
Application |
Master |
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M8.MEA.11
The learner will be able to develop formulas for surface area of cylinders and surface area of prisms using physical and graphic models.
| Strand |
Bloom's |
Scope |
| Formulas |
Synthesis |
Master |
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M8.MEA.12
The learner will be able to solve real world or mathematical problems that involve surface area or volume and how they are affected by altering the dimensions of the figure.
| Strand |
Bloom's |
Scope |
| Perimeter/Area/Volume |
Application |
Master |
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Number Sense and Numeration
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M8.NSN.1
The learner will be able to express fractions, decimals, and percents in appropriate form as needed for solving problems presented in a real world context.
| Strand |
Bloom's |
Scope |
| Equivalent Forms |
Comprehension |
Master |
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M8.NSN.2
The learner will be able to apply appropriate computation techniques to obtain solutions to multi-step real world problems involving fractions, decimals, and integers.
| Strand |
Bloom's |
Scope |
| Number Operations |
Application |
Master |
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M8.NSN.3
The learner will be able to compute using operations involving roots and powers.
| Strand |
Bloom's |
Scope |
| Number Operations |
Analysis |
Master |
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M8.NSN.4
The learner will be able to use negative exponents when expressing rational numbers in exponential notation.
| Strand |
Bloom's |
Scope |
| Exponential Notation |
Application |
Master |
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M8.NSN.5
The learner will be able to solve problems through the use of ratios or proportions.
| Strand |
Bloom's |
Scope |
| Ratio/Proportion |
Application |
Master |
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M8.NSN.6
The learner will be able to determine whether two numbers are relatively prime.
| Strand |
Bloom's |
Scope |
| Prime/Composite Numbers |
Comprehension |
Master |
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M8.NSN.7
The learner will be able to use percents to solve real world problems.
| Strand |
Bloom's |
Scope |
| Percent |
Application |
Master |
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M8.NSN.8
The learner will be able to determine the percent of increase or percent of decrease.
| Strand |
Bloom's |
Scope |
| Percent |
Application |
Master |
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M8.NSN.9
The learner will be able to choose the appropriate operation to obtain solutions to real world problems involving integers, ratios, rates, proportions, percents, decimals and fractions.
| Strand |
Bloom's |
Scope |
| Problem Solving |
Analysis |
Master |
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M8.NSN.10
The learner will be able to find the absolute value of a rational number.
| Strand |
Bloom's |
Scope |
| Rational Numbers |
Application |
Master |
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M8.NSN.11
The learner will be able to represent rational numbers in equivalent forms.
| Strand |
Bloom's |
Scope |
| Rational Numbers |
Application |
Master |
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Patterns, Functions, Algebra
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M8.PFA.1
The learner will be able to recognize the inverse relationships between exponentiation and root extraction (square root of 36 is 6 squared).
| Strand |
Bloom's |
Scope |
| Inverse Operations |
Comprehension |
Master |
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M8.PFA.2
The learner will be able to combine like terms and use the properties of real numbers to simplify algebraic expressions that illustrate real world situations.
| Strand |
Bloom's |
Scope |
| Expressions |
Synthesis |
Master |
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M8.PFA.3
The learner will be able to graph linear equations and inequalities on the number line.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
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M8.PFA.4
The learner will be able to use the order of operations to write expressions from real world scenarios.
| Strand |
Bloom's |
Scope |
| Expressions |
Application |
Master |
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M8.PFA.5
The learner will be able to simplify expressions containing integers, exponents, and roots.
| Strand |
Bloom's |
Scope |
| Expressions |
Application |
Master |
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M8.PFA.6
The learner will be able to translate word expressions into algebraic expressions.
| Strand |
Bloom's |
Scope |
| Expressions |
Synthesis |
Master |
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M8.PFA.7
The learner will be able to convey relationships by writing equations or inequalities.
| Strand |
Bloom's |
Scope |
| Equations |
Application |
Master |
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M8.PFA.8
The learner will be able to make translations of verbal sentences into algebraic equations and inequalities.
| Strand |
Bloom's |
Scope |
| Equality/Inequality |
Synthesis |
Master |
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M8.PFA.9
The learner will be able to solve single-step and multi-step linear equations that illustrate real world scenarios.
| Strand |
Bloom's |
Scope |
| Real Numbers/Coordinate Plane |
Application |
Master |
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M8.PFA.10
The learner will be able to use a table of values to graph linear equations on a coordinate plane.
| Strand |
Bloom's |
Scope |
| Real Numbers/Coordinate Plane |
Application |
Master |
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M8.PFA.11
The learner will be able to determine the slope of a line given the graph of the line, including vertical and horizontal lines.
| Strand |
Bloom's |
Scope |
| Real Numbers/Coordinate Plane |
Knowledge |
Master |
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M8.PFA.12
The learner will be able to interpret the meaning of the slope of a line from a graph representing a real world situation.
| Strand |
Bloom's |
Scope |
| Real Numbers/Coordinate Plane |
Analysis |
Master |
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M8.PFA.13
The learner will be able to explain and illustrate patterns and functional relationships using tables, charts, graphs, algebraic expressions, rules, and oral descriptions.
| Strand |
Bloom's |
Scope |
| Functions |
Evaluation |
Master |
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M8.PFA.14
The learner will be able to determine a function rule to explain tables of related input-output variables.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
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M8.PFA.15
The learner will be able to apply the information given in a table, graph, or rule to decide whether a function is linear and justify the reasoning behind the decision.
| Strand |
Bloom's |
Scope |
| Functions |
Application |
Master |
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