Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
Clarke Community Schools
Math Curriculum
K-8 Standards and Benchmarks
Standard 1: Acquire and use powerful, flexible and widely
applicable skills in all areas of mathematics.
Standard 2: Understand and apply basic and advanced properties
of the concepts of numbers.
Standard 3: Use basic and advanced procedures while performing
in the processes of computation.
Standard 4: Understand and apply basic and advanced properties
of the concepts of measurement.
Standard 5: Understand and apply basic and advanced properties
of the concepts of geometry.
Standard 6: Understand and apply basic and advanced concepts
of statistics and data analysis.
Standard 7: Understand and apply basic and advanced concepts
of probability.
Standard 8: Understand and apply basic and advanced properties
of functions and algebra.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
Kindergarten
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M._K.01.01
Engage in tasks for which the solution method is not known in advance.
M._K.01.02
Reason in a wide range of mathematical an applied settings.
M._K.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M._K.01.04
Connect mathematical ideas to deepen understanding.
M._K.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M._K.02.01
Use ordinal numbers appropriately (1st, 2nd, 3rd).
M._K.02.02
Count objects to at least 30.
M._K.02.03
Understand a variety of representations of whole numbers 0 to 30 (e.g., written numerals,
objects in sets, number lines).
M._K.02.04
Understand the order and relative values of whole numbers 0 to 30.
M._K.02.05
Counts backwards by ones.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M._K.03.01
Demonstrate addition and subtraction problems with real objects.
M._K.03.02
Fluently composes and decomposes numbers to at least 5.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M._K.04.01
Identify objects that are measurable and make direct comparisons. ( For example:
shorter, taller, heavier, lighter, holds more, holds less)
M._K.04.02
Associate times of day with everyday events.
M._K.04.03
Read a calendar to recognize days of week, sequence of days, months and seasons.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M._K.05.01
Understand geometric relationships (similarities/ differences among basic plane figures:
circles, square, rectangle, and triangle).
M._K.05.02
Understand the common language of spatial sense (e.g., inside, outside, between,
above, below and behind).
M._K.05.03
Describe geometric shapes in the environment and state their location.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M._K.06.01
Collect and display data using lists, charts, tables and simple graphs.
M._K.06.02
Interpret simple graphs.
Standard 7: Understand and apply basic and advanced concepts of probability.
None for Kindergarten
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M._K.08.01
Extend and create simple repeating patterns
M._K.08.02
Sort and classify objects by a single attribute
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
1st Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.01.01.01
Engage in tasks for which the solution method is not known in advance.
M.01.01.02
Reason in a wide range of mathematical an applied settings.
M.01.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.01.01.04
Connect mathematical ideas to deepen understanding.
M.01.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.01.02.01
Understand ordinal numbers 1st to 10th.
M.01.02.02
Count numbers 0-120 (e.g., count by 1’s, 2’s, 5’s, and 10’s).
M.01.02.03
Understand a variety of representations of whole numbers 0-120 (e.g., written numerals,
objects in sets, number lines) and the relationship among them.
M.01.02.04
Understand the relationship of fractional parts, 1/3,1/2 and 1/4 to a whole.
M.01.02.05
Understand the concept of place value through the 10’s place (e.g., the relationship
between a quantity of physical materials grouped by 10’s and 1’s and the corresponding
written numeral).
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.01.03.01
Know basic addition and subtraction facts to 10.
M.01.03.02
Add and subtract two digit numbers.
M.01.03.03
Solve story problems that match addition or subtraction expressions or equations using
physical objects, pictures, or words.
M.01.03.04
Fluently composes and decomposes numbers to at least 10.
M.01.03.05
Determine if a solution to a problem is reasonable.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.01.04.02
Demonstrate measurement using familiar objects (weight and length).
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.01.05.01
Know and describe characteristics and properties of basic plane figures (e.g., a square
has four equal sides, closed vs. open figures).
M.01.05.02
Locate points on maps and simple coordinate grids.
M.01.05.03
Identify shapes that have been transformed.
M.01.05.04
Construct real-world figures using simple geometric shapes.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.01.06.01
Collect, organize, interpret data and make predictions using simple charts, tables and
graphs.
M.01.06.02
Represent a single set of data in a variety of forms (tallies, tables, picture graphs, bar
graphs).
Standard 7: Understand and apply basic and advanced concepts of probability.
None for 1st Grade
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.01.08.01
Understand simple repeating and growing patterns.
M.01.08.02
Solve simple word problems and number sentences involving addition and subtraction.
M.01.08.03
Sort and classify objects by multiple attributes
M.01.08.04
Understand that symbols are used to represent mathematical ideas in addition and
subtraction problems.
M.01.08.05
Determine if equations using addition and subtraction are true or false.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
2nd Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.02.01.01
Engage in tasks for which the solution method is not known in advance.
M.02.01.02
Reason in a wide range of mathematical an applied settings.
M.02.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.02.01.04
Connect mathematical ideas to deepen understanding.
M.02.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.02.02.01
Count numbers 0-1000 (e.g., by 1’s, 2’s, 5’s, 10’s, 100’s).
M.02.02.02
Understand a variety of representations of whole numbers 0-1000 and the relationship
among them (e.g., relating written numerals to the corresponding word, relating objects in
sets to the corresponding numeral).
M.02.02.03
Read and write numerals 0-1000 (e.g., standard and expanded form).
M.02.02.04
Use variety of methods to compare and order whole numbers (e.g. ordinal numbers,
“first” through “twentieth”, symbols [<, >, =] and language, such as “between”, “less than”,
“greater than”, or “equal to”).
M.02.02.05
Understand physical, verbal and symbolic representations of fractions (e.g. halves,
fourths, thirds, eighths).
M.02.02.06
Understand concept of place value for whole numbers through hundreds place (e.g.,
ones, tens, and hundreds).
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.02.03.01
Know addition and subtraction facts through at least 20.
M.02.03.02
Fluently compose and decompose two and three -digit numbers.
M.02.03.03
Solve two-digit addition and subtraction with and without regrouping.
M.02.03.04
Understand that addition and subtraction are inverse operations.
M.02.03.05
Determine if a solution to a problem is reasonable. Estimate an answer prior to
computing. (17+ 22 is about 40).
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.02.04.01
Understand time by 5 minute intervals.
M.02.04.02
Measure and compare length, height, and weight.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.02.05.01
Identify, name, sort, and describe properties of and similarities and differences among
three-dimensional figures (for example: spheres, cubes, rectangular prisms, cylinders,
pyramids, and cones) and basic geometric terms (for example: sides, edges, corners and
symmetry) associated with these figures.
M.02.05.02
Use numbers and letters to represent points and objects on maps and coordinate grids
M.02.05.03
Describe and represent shapes from different perspectives.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.02.06.01
Collect and organize data on frequency tables, line plots, picture graphs and charts.
M.02.06.02
Read and interpret tables, graphs and charts.
M.02.06.03
Compare a single type of data using different graphs
Standard 7: Understand and apply basic and advanced concepts of probability.
M.02.07.01
Understand the basic concepts of likely and unlikely outcomes.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.02.08.01
Understand and extend a wide variety of patterns.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
M.02.08.02
M.02.08.03
M.02.08.04
M.02.08.05
Understand basic number patterns.
Use various strategies to solve for the unknown.
Sort and classify a set of objects by multiple attributes and explain the sorting rule.
Solve equations in which the unknown quantity and the equal sign appear in a variety of
positions.
3rd Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.03.01.01
Engage in tasks for which the solution method is not known in advance.
M.03.01.02
Reason in a wide range of mathematical an applied settings.
M.03.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.03.01.04
Connect mathematical ideas to deepen understanding.
M.03.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.03.02.01
Understand the concept of place values of whole numbers through the ten thousands
place (e.g., 1’s, 10’s, 100’s, 1000’s, 10,000’s).
M.03.02.02
Understand the concept of odd and even numbers.
M.03.02.03
Understand decimals expressed through the hundredths place (e.g., in money).
M.03.02.04a
Understand the comparison of whole numbers (e.g., to a 1000).
M.03.02.04b
Understand the comparison of fractions (e.g., with denominators of 12 or less).
M.03.02.04c
Understand the comparison of commonly used decimals (e.g., monetary amounts).
M.03.02.05
Count, read and write numbers from 1,000 to 999,999.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.03.03.01
Use estimating strategies to the nearest 10 or 100.
M.03.03.02
Understand when estimation is appropriate for a given problem.
M.03.03.03
Develop concepts of multiplication and division through the use of different
representations.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.03.04.01
Tell time to the nearest minute, a.m., and p.m.
M.03.04.02
Measure (perimeter) length, weight, and volume to the nearest whole unit.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.03.05.01
Identify plane figures and space figures: parallelogram, trapezoid, sphere and cube.
M.03.05.02
Identify space relationships (symmetry, congruence).
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.03.06.01
Collect and organize data into graphs (bar, line, pictographs, circle), tables and charts.
M.03.06.02
Read and make simple inferences from data displayed in diagrams, charts, bar graphs
and tables (e.g., generalize or draw simple conclusions).
Standard 7: Understand and apply basic and advanced concepts of probability.
M.03.07.01
Understand that some events are sure to happen, some events are sure not to happen
and some events may or may not happen.
M.03.07.02
Understand that the word chance refers to the likelihood of an event.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.03.08.01
Use a variety of methods and tools to represent patterns and relationships.
M.03.08.02
Understand the concept of an equation (e.g., a number sentence that shows two
quantities that are equal).
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
4th Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.04.01.01
Engage in tasks for which the solution method is not known in advance.
M.04.01.02
Reason in a wide range of mathematical an applied settings.
M.04.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.04.01.04
Connect mathematical ideas to deepen understanding.
M.04.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.04.02.01
Understand the concept of place values for whole numbers through the millions.
M.04.02.03
Compare fractions for halves, thirds, fourths, eighths, tenths, and sixteenths.
M.04.02.04
Identify fractions, decimals, mixed numbers and whole numbers. Recognize that mixed
numbers and improper fractions name the same quantity.
M.04.02.05
Understand decimal notation as an extension of the base-ten system of writing whole
numbers.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.04.03.01
Know basic multiplication facts and related division facts 0-9.
M.04.03.02
Developing an understanding of decimal numbers.
M.04.03.03
Divide by a 1-digit divisor with or without a remainder. (With or without physical objects)
M.04.03.04
Understand the concept of estimating and rounding numbers expressed through the
thousands (e.g., nearest thousand).
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.04.04.03a
Use appropriate units of measurement of length, weight, volume, temp. in the standard
system to problem solve (ex. perimeter, area).
M.04.04.03b
Use appropriate units of measurement of length, weight, volume, temp. in the metric
system to problem solve (ex. perimeter, area).
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.04.05.01
Understand characteristics of line (e.g., parallel, perpendicular, intersecting) and angles
(e.g., right, acute, obtuse).
M.04.05.02
Understand basic properties of figures (e.g., two or three- dimensionality, symmetry,
number of faces, type of angle).
M.04.05.03
Know basic geometric language for describing and naming shapes (e.g., trapezoid,
parallelogram, cube, sphere and polygon).
M.04.05.04
Understand basic geometric transformations in a plane and the relationships among
transformed figures (e.g., symmetry, congruency, similarity, slide, flip and turn).
M.04.05.05
Understand the characteristics and features of coordinates and the coordinate plane (e.g.
the horizontal axis and vertical axis).
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.04.06.01
Read and interpret simple tables, graphs (e.g., simple bar, line and charts (e.g. pie).
M.04.06.02
Use line, circle and bar graphs with various scale increments to display information.
Standard 7: Understand and apply basic and advanced concepts of probability.
M.04.07.01
Determine the probability of simple events using basic experiments or simulations (e.g.,
using coins, spinners, and dice).
M.04.07.02
Use basic sample groups (e.g., all possible outcomes) to describe events.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.04.08.01
Solve open sentences involving multiplication and division (n x 4 = 12 and/or 12 n = 4).
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
M.04.08.02
M.04.08.03
Use symbols of equality (=) and inequality (<, >).
Understand that the same pattern can be represented in different ways (e.g., using
words, pictures, and numbers).
5th Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.05.01.01
Engage in tasks for which the solution method is not known in advance.
M.05.01.02
Reason in a wide range of mathematical an applied settings.
M.05.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.05.01.04
Connect mathematical ideas to deepen understanding.
M.05.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.05.02.01
Understand equivalent forms of basic percents, fractions, and decimals (e.g. 1/2 = 50% =
.5).
M.05.02.02
Understand the concept of place value for numbers from the thousandths place to the
hundred millions place.
M.05.02.03
Use benchmarks to help develop number sense.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.05.03.01
Use a variety of estimation strategies (e.g. front-end, standard rounding, order of
magnitude, compatible numbers, compensation) to solve and to check the
reasonableness of results of computation problems involving whole numbers and
decimals (e.g. money).
M.05.03.02
Add, subtract, multiply, and divide whole numbers.
M.05.03.03a
Add and subtract decimals.
M.05.03.03b
Add, subtract, and simplify fractions and mixed numbers with like denominators.
M.05.03.03c
Add, subtract, and simplify fractions and mixed numbers with unlike denominators
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.05.04.01
Use appropriate units of measure and basic conversions within the same system
(dimensional analysis).
M.05.04.02
Understand and apply the basic measures of perimeter, area, volume.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.05.05.01
Understand the characteristics of (classification) and relationships among (symmetry,
congruence) points, lines, line segments, rays, planes, angles and polygons.
M.05.05.02
Describe and classify three-dimensional figures.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.05.06.01
Use graphs and plots to display information.
Standard 7: Understand and apply basic and advanced concepts of probability.
M.05.07.01
Determine probability using simulations or experiments.
M.05.07.02
Draw conclusions and make predictions from simple probability situations.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.05.08.01
Identify patterns and explain the rule that the pattern is generated from.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
6th Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.06.01.01
Engage in tasks for which the solution method is not known in advance.
M.06.01.02
Reason in a wide range of mathematical an applied settings.
M.06.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.06.01.04
Connect mathematical ideas to deepen understanding.
M.06.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.06.02.01
Explore the relationships among whole numbers, fractions, decimals, and percents.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.06.03.01
Use a variety of estimation strategies (e.g. powers of ten, compatible numbers, breaking
numbers apart, front-end estimation, rounding) to solve and to check the reasonableness
or results of computation problems involving whole numbers, fractions, and decimals.
M.06.03.02
Understand, apply, and explain how to add, subtract, multiple, and divide multi-digit
whole numbers.
M.06.03.03
Add, subtract, multiply, and divide fractions, decimals, and mixed numbers.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.06.04.01
Determine, using concrete materials and or formulas, the perimeter and area of a two
dimensional shape.
M.06.04.02
Determine, using concrete materials and or formulas, the volume of a three dimensional
shape.
M.06.04.03
Understand that two objects are similar if they have the same shape (i.e., corresponding
angles are congruent) but not the same size.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.06.05.01
Describe, classify, and construct the characteristics and relationships among (parallel,
perpendicular, congruence) lines, angles, polygons and circles.
M.06.05.02
Examine, build, compose and decompose three dimensional shapes.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.06.06.01
Interpret and compute measures of central tendencies.
M.06.06.02
Create and interpret tables, charts, and graphical representations.
Standard 7: Understand and apply basic and advanced concepts of probability.
M.06.07.01
Use a variety of simple models (tree diagrams, sample spaces, grids, tables) to represent
the possible outcomes for probability situations.
M.06.07.02
Represent probability of events that are impossible, unlikely, likely and certain.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.06.08.01
Solve simple (addition, subtraction) equations with one variable using informal or formal
methods.
M.06.08.02
Understand ratios, including rate, as distinct entities representing a relationship different
from the quantities they compare.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
7th Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.07.01.01
Engage in tasks for which the solution method is not known in advance.
M.07.01.02
Reason in a wide range of mathematical an applied settings.
M.07.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.07.01.04
Connect mathematical ideas to deepen understanding.
M.07.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.07.02.01
Understand the characteristics and applications of scientific notation and exponential
notation.
M.07.02.02
Understand and explain the relationships among fractions, decimals, and percents.
M.07.02.03
Understand the concept of prime and composite numbers.
M.07.02.04
Understand the concept of integer numbers.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.07.03.01
Use a variety of estimation strategies to solve and to check reasonableness of
computation problems involving whole numbers, fractions, decimals, and percents.
M.07.03.02
Understand, apply and explain computations involving whole numbers, fractions,
decimals, and integers.
M.07.03.03
Use basic conversions between fractions, percents, and decimals.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.07.04.01
Understand and apply measures of surface area and volume of rectangular prisms,
perimeter and area of polygons.
M.07.04.02
Understand the scale factor describes how corresponding lengths in two similar objects
are related.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.07.05.01
Describe, classify, and construct the characteristics and relationships among (parallel,
perpendicular, congruence) lines, angles, polygons (trapezoids, parallelograms, triangles)
and circles.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.07.06.01
Discuss and understand the correspondence between data sets and their graphical
representations and the limitations of each.
Standard 7: Understand and apply basic and advanced concepts of probability.
M.07.07.01
Determine probability using math/theoretical models.
M.07.07.02
Understand how predictions and interpretations are based on data and probabilities.
M.07.07.03
List all possible outcomes of a given simple experiment or event.
M.07.07.04
Use proportions and percents to make estimates relating to a population on the basis of a
sample.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.07.08.01
Understand basic algebraic terms and symbols (e.g. expression, equation, inequality,
variable, exponent).
M.07.08.02
Write and solve mathematical expressions, equations--linear and nonlinear, inequalities
and formulas that correspond to real world situations.
M.07.08.03
Solve single and two-step equations of one variable using informal and formal methods.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
8th Grade
Standard 1: Acquire and use powerful, flexible and widely applicable skills in all areas of
mathematics.
M.08.01.01
Engage in tasks for which the solution method is not known in advance.
M.08.01.02
Reason in a wide range of mathematical an applied settings.
M.08.01.03
Share ideas and clarify understanding to learn mathematics and to communicate
mathematically.
M.08.01.04
Connect mathematical ideas to deepen understanding.
M.08.01.05
Represent mathematical processes and products in multiple ways.
Standard 2: Understand and apply basic and advanced properties of the concepts of numbers.
M.08.02.01
Understand the relationships among equivalent number representations (e.g. whole
numbers, positive and negative integers, fractions, ratios, decimals, percents, scientific
notation, exponential)
M.08.02.02
Understand the basic laws of exponents.
M.08.02.03
Understand, estimate, and represent real numbers.
Standard 3: Use basic and advanced procedures while performing in the processes of computation.
M.08.03.01
Use a variety of estimation strategies to solve and to check reasonableness of results of
computation problems involving rational number.
M.08.03.02
Perform operations on rational numbers (e.g. add, subtract, multiply, divide, raised to a
power, extract roots, take opposites and reciprocals)
M.08.03.03
Develop a basic understanding of and solve problems using ratios, proportions,
fractions, decimals, and percents.
Standard 4: Understand and apply basic and advanced properties of the concepts of measurement.
M.08.04.01
Use two-and three-dimensional shapes to model real-world situations and solve a variety
of problems involving surface area, area and circumference of circles and volume of
prisms and cylinders.
M.08.04.02
Use understanding of similarity and scale factor to solve problems in a variety of
contexts.
Standard 5: Understand and apply basic and advanced properties of the concepts of geometry.
M.08.05.01
Explore and explain the relationships among angles when a transversal cuts parallel
lines.
M.08.05.02
Analyze characteristics and properties of two dimensional geometrical shapes and
develop mathematical arguments about geometric relationships.
Standard 6: Understand and apply basic and advanced concepts of statistics and data analysis.
M.08.06.01
Create and interpret measures of center and spread, including mean and interquartile
range.
M.08.06.02
Understand faulty arguments, common errors, and misleading presentations of data.
Standard 7: Understand and apply basic and advanced concepts of probability.
M.08.07.01
Understand that the measure of certainty in a given situation depends on a number of
factors (sample size, method of data collection, what is known about the situation, how
current data are).
M.08.07.02
Understand the difference between theoretical and experimental probability.
M.08.07.03
Compute probability for simple compound events.
M.08.07.04
Use theoretical probability and proportions to make predictions.
Standard 8: Understand and apply basic and advanced properties of functions and algebra.
M.08.08.01
Use a system of linear equations to analyze situations and solve problems.
Clarke/MISIC K-8 Math Standards/Benchmarks 12/2009
M.08.08.02
M.08.08.03
M.08.08.04
M.08.08.05
M.08.08.06
M.08.08.07
M.08.08.08
Solve simple equalities and inequalities with rational number solutions, using formal and
informal methods.
Use proportionality to solve single and multi-step problems in a variety of contexts.
Construct and analyze tables and use equations to describe simple relationships shown
in a table.
Understand a proportion is an equation that states two ratios are equivalent.
Understand proportionality is multiplicative.
Use linear functions, and understanding of the slope of a line and constant rate of
change, to analyze situations and solve problems.
Use tables and graphs to analyze and solve systems of two linear equations in two
variables.