Standard set
Grade 6
Standards
Showing 108 of 108 standards.
6.NSF
NUMBER SYSTEM including FRACTIONS: Students develop an understanding of numbers, ways of representing numbers, relationships among numbers and number systems.
6.OA
OPERATIONS and ALGEBRAIC THINKING: Students use basic and advanced procedures to understand the meaning of operations in relation to advanced properties of functions and algebra.
6.G
Geometry (G) Mathematics is helpful in describing the physical world and the patterns of God’s creation, students analyze characteristics and properties of two and three dimensional geometric shapes and develop mathematical arguments about geometric relationships and specify locations and describe spatial relationships using coordinate geometry and other representational systems.
6.M
Measurement: Students understand measurable attributes of objects and the units, systems, and processes of measurement
6.SPD
STATISTICS, PROBABILITY, AND DATA ANALYSIS: Design investigations, select, use and appropriate statistical methods to analyze data in order to make inferences and predictions based on data.
6.NSF.1
Work flexibly with fractions, decimals, and percents to solve problems
6.NSF.2
Compare and order fractions, decimals and percents efficiently and find their approximate location on a number line
6.NSF.3
Understand and use ratios and proportions to represent quantitative relationships
6.NSF.4
Develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculator notation
6.NSF.5
Use factors, multiples, prime factorization, and relatively prime numbers to solve problems
6.NSF.6
Develop meaning for integers and represent and compare quantities using them
6.OA.1
Represent, Analyze, and generalize a variety of patterns with tables, graphs, words, and when possible, symbolic rules
6.OA.2
Relate and compare different forms of representation for a relationship
6.OA.3
Represent and analyze mathematical situations and structures using algebraic symbols and expressions
6.OA.4
Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships
6.OA.5
Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations
6.G.1
Precisely describe, classify, and understand relationships among types of two and three – dimensional objects using their defining properties
6.G.2
Understand relationships among the angles, side lengths, perimeters, areas, and volumes of similar objects
6.G.3
Create and critique inductive and deductive arguments concerning geometric ideas and relationships, such as congruence, similarity, and the Pythagorean relationships.
6.G.4
Use coordinate geometry to represent and examine the properties of geometric shapes
6.G.5
Apply transformations and use symmetry to analyze mathematical situations
6.G.6
Examine the congruence, similarity , and line or rotational symmetry of objects using transformations
6.G.7
Use visualization, spatial reasoning, and geometric modeling to solve problems
6.G.8
Recognize and apply geometric ideas and relationships in areas outside the mathematics classroom, such as art, science, and everyday life
6.M.1
Understand and use both metric and customary systems of measurement
6.M.2
Understand relationships among units and convert from one unit to another within the same system
6.M.3
Understand, select and use units of appropriate size and type to measure angles, perimeter, area, surface area, and volume
6.M.4
Use common benchmarks to select appropriate methods for estimating measurements
6.M.5
Develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more complex shapes
6.M.6
Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders
6.M.7
Solve problems involving scale factors, using ratio and proportion
6.SPD.1
Formulate questions, design studies, and collect data about characteristics shared by two populations or different characteristics within one population
6.SPD.2
Select, create, and use appropriate graphical representations of data, including histograms, box plots, and scatter plots.
6.SPD.3
Select and use appropriate statistical methods to analyze data
6.SPD.4
Develop and evaluate inferences and predictions that are based on data
6.NSF.1.a
Convert between fractions and decimals
6.NSF.1.b
Convert between fractions or decimals to percents
6.NSF.1.c
Identify the fraction to the decimal equivalent (and vice versa) for halves, thirds, fourths, and fifths
6.NSF.2.a
Write, compare, and order decimals using place value and number lines
6.NSF.2.b
Compare and order fractions on a number line (1/2, 1/3, 1⁄4)
6.NSF.3.a
Write ratios
6.NSF.3.b
write proportions
6.NSF.3.c
Identify equal ratios as proportions
6.NSF.3.d
Find the missing value in a proportion that contains whole numbers; understand that cross products are equal
6.NSF.4.a
Represent whole numbers in exponential form
6.NSF.4.b
Write large numbers in scientific notation
6.NSF.5.a
List factors and multiples of whole numbers
6.NSF.5.b
Find prime factorization by making factor trees
6.NSF.5.c
Find the greatest common factor (GCF) and least common multiple (LCM ) of whole numbers
6.NSF.5.d
Know and use the divisibility rules for the numbers 2,3,4,5,6,9,10
6.NSF.5.e
Know the difference between prime and composite numbers
6.NSF.5.f
Recognize prime numbers between 1 and 50
6.NSF.6.a
Understand opposites of integer values
6.NSF.6.b
Compare and order integers on a number line
6.NSF.6.c
Represent everyday values (gains, losses) using integers
6.OA.1.a
Given a multi-step expression in a problem, find the missing values in a function table
6.OA.1.b
Find the expression from a given function table
6.OA.3.a
Write algebraic expressions from words to symbols and symbols to words
6.OA.3.b
Write expressions from word problems
6.OA.4.a
write one operation equations to solve word problems
6.OA.5.a
Solve one step equations using inverse operations
6.G.1.a
Classify and describe two dimensional shapes by angle measures/or side lengths
6.G.1.b
Classify and describe three dimensional shapes as prisms, pyramids, cylinders, cones, and spheres
6.G.1.c
Determine the difference between regular and irregular polygons
6.G.2.a
Compare similar objects to determine how the attributes are affected by changing in the dimensions of figures
6.G.3.a
Identify congruent figures and angles.
6.G.3.b
Identify complementary and supplementary angles
6.G.3.c
Find the missing complementary or supplementary angle measurement
6.G.3.d
Identify vertical and adjacent angles
6.G.3.e
Identify and compare similar figures.
6.G.3.f
Find the length of a side in a right triangle using Pythagorean Theorem
6.G.4.a
Locate and graph points on a coordinate plane
6.G.4.b
Use coordinate geometry to examine special geometric shapes such as regular polygons or those with pairs of parallel or perpendicular sides
6.G.4.c
Use Cartesian coordinates and other coordinate systems, such as navigational, polar or spherical systems to analyze geometric situations
6.G.5.a
Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling
6.G.5.b
Recognize transformations as translations, reflections, and rotations
6.G.5.c
Use translations, reflections, and rotations to transform geometric shapes
6.G.5.d
Use scale to determine actual measurements
6.G.5.e
Use actual measurements to construct a scale model
6.G.6.a
Identify line symmetry and rotational symmetry in a variety of figures
6.G.6.b
Identify tessellations and shapes that can tessellate
6.G.7.a
Draw polygons using given specified properties such as, side lengths or angle measures
6.G.7.b
Use two-dimensional representations of three- dimensional objects to visualize and solve problems such as those involving surface area and volume
6.G.7.c
Use nets to compose and decompose three dimensional shapes
6.G.7.d
Use given formulas to find perimeter, circumference, and area
6.G.7.e
Break a polygon into simpler shapes to find its area
6.G.8.a
Use indirect measurement to solve problems
6.M.1.a
Use the metric system and its units
6.M.1.b
Use the customary measurement system and its units
6.M.2.a
Make conversions with the customary system
6.M.2.b
Make conversions within the metric system
6.M.3.a
Select appropriate measurement tools based on the precision and measurement error
6.M.3.b
Use appropriate units to measure objects
6.M.3.c
Select correct label when measuring angles, perimeter, area, surface area, and volume
6.M.4.a
Use estimation to determine whether a measurement is reasonable
6.M.4.b
Use benchmarks angles (45o angle, right angle, and straight angle) to estimate angle measurement
6.M.5.a
Explain and use formulas to determine the area circles, parallelograms and trapezoids
6.M.5.b
Use formulas to develop strategies to determine the area of complex shapes
6.M.6.a
Determine the volume of prisms, pyramids, and cylinders
6.M.6.b
Determine the volume of prisms, pyramids, and cylinders
6.M.7.a
Use ratio and proportion to solve scale problems
6.SPD.1.a
Formulate questions, design experiments, or survey to collect relevant data to compare characteristics
6.SPD.2.a
Given a set of data, select an appropriate representation
6.SPD.3.a
Find, use, and interpret measures of center and spread, including mean and interquartile range
6.SPD.3.b
Explain how outliers affect central tendencies
6.SPD.4.a
Use observations about differences between two or more samples to make conjectures about the populations for which the samples were taken
6.SPD.4.b
Make conjectures about possible relationships between two characteristics of a sample on the basis of scatterplots of the data and approximate lines of fit
6.SPD.4.c
Make conjectures to formulate new questions and plan new studies to answer them
Framework metadata
- Source document
- Diocese of Green Bay
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- CC BY 4.0 US