-
6Grade 6 Standards
Top Mathematicians
-
Number & Operations
-
6.N.1.1
Represent integers with counters and on a number line and rational numbers on a number line, recognizing the concepts of opposites, direction, and magnitude; use integers and rational numbers in real-world and mathematical situations, explaining the meaning of 0 in each situation.
-
6.N.1.2
Compare and order positive rational numbers, represented in various forms, or integers using the symbols <, >, and =.
-
6.N.1.3
Explain that a percent represents parts "out of 100" and ratios "to 100."
-
-
6.N.1.4
Determine equivalencies among fractions, decimals, and percents. Select among these representations to solve problems.
-
-
6.615
-
6.715
-
6.85
-
6.95
-
6.105
-
6.1115
-
-
6.N.1.5
Factor whole numbers and express prime and composite numbers as a product of prime factors with exponents.
-
-
6.1210
-
6.1320
-
-
6.N.1.6
Determine the greatest common factors and least common multiples. Use common factors and multiples to calculate with fractions, find equivalent fractions, and express the sum of two-digit numbers with a common factor using the distributive property.
-
-
6.1415
-
6.1520
-
6.1620
-
6.1720
-
6.1815
-
6.1920
-
6.205
-
6.215
-
6.2215
-
-
6.N.2.1
Estimate solutions to addition and subtraction of integers problems in order to assess the reasonableness of results.
-
-
6.2320
-
-
6.N.2.2
Illustrate addition and subtraction of integers using a variety of representations.
-
-
6.N.2.3
Add and subtract integers; use efficient and generalizable procedures including but not limited to standard algorithms.
-
-
6.N.3.1
Identify and use ratios to compare quantities. Recognize that multiplicative comparison and additive comparison are different.
-
-
6.245
-
6.255
-
6.265
-
6.2715
-
6.2815
-
6.2915
-
6.85
-
-
6.N.3.2
Determine the unit rate for ratios.
-
-
6.3010
-
6.3110
-
-
6.N.3.3
Apply the relationship between ratios, equivalent fractions and percents to solve problems in various contexts, including those involving mixture and concentrations.
-
-
6.85
-
6.105
-
-
6.N.3.4
Use multiplicative reasoning and representations to solve ratio and unit rate problems.
-
-
6.2715
-
6.325
-
6.335
-
6.85
-
-
6.N.4.1
Estimate solutions to problems with whole numbers, decimals, fractions, and mixed numbers and use the estimates to assess the reasonableness of results in the context of the problem.
-
-
6.3420
-
6.3520
-
6.3620
-
6.3720
-
6.3815
-
-
6.N.4.2
Illustrate multiplication and division of fractions and decimals to show connections to fractions, whole number multiplication, and inverse relationships.
-
-
6.3915
-
6.4015
-
-
6.N.4.3
Multiply and divide fractions and decimals using efficient and generalizable procedures.
-
-
6.4115
-
6.425
-
6.4315
-
6.4415
-
6.4515
-
6.4615
-
6.4715
-
6.4815
-
6.4915
-
6.5015
-
6.5115
-
6.5215
-
6.5315
-
6.5415
-
6.5515
-
6.5620
-
6.5710
-
6.585
-
6.5915
-
6.6010
-
6.6115
-
6.6215
-
6.6315
-
6.6415
-
-
6.N.4.4
Solve and interpret real-world and mathematical problems including those involving money, measurement, geometry, and data requiring arithmetic with decimals, fractions and mixed numbers.
-
-
6.6515
-
6.6620
-
6.6715
-
6.6820
-
6.6915
-
6.7010
-
6.715
-
6.725
-
6.7310
-
6.7410
-
6.7520
-
6.765
-
6.7720
-
6.7810
-
6.7920
-
6.8010
-
6.8110
-
6.8215
-
6.8315
-
6.8415
-
6.8515
-
-
6.N.1.1
-
Geometry & Measurement
-
6.GM.1.1
Develop and use formulas for the area of squares and parallelograms using a variety of methods including but not limited to the standard algorithm.
-
-
6.1385
-
6.1395
-
6.14010
-
-
6.GM.1.2
Develop and use formulas to determine the area of triangles.
-
-
6.1395
-
6.14110
-
-
6.GM.1.3
Find the area of right triangles, other triangles, special quadrilaterals, and polygons that can be decomposed into triangles and other shapes to solve real-world and mathematical problems.
-
-
6.1385
-
6.1395
-
6.14010
-
6.14110
-
-
6.GM.2.1
Solve problems using the relationships between the angles (vertical, complementary, and supplementary) formed by intersecting lines.
-
6.GM.2.2
Develop and use the fact that the sum of the interior angles of a triangle is 180° to determine missing angle measures in a triangle.
-
6.GM.3.1
Estimate weights, capacities and geometric measurements using benchmarks in customary and metric measurement systems with appropriate units.
-
-
6.GM.3.2
Solve problems in various real-world and mathematical contexts that require the conversion of weights, capacities, geometric measurements, and time within the same measurement systems using appropriate units.
-
-
6.1475
-
6.1485
-
6.1495
-
6.1505
-
6.1515
-
6.1525
-
6.1535
-
6.15420
-
6.15520
-
6.1565
-
6.7010
-
-
6.GM.4.1
Predict, describe, and apply translations (slides), reflections (flips), and rotations (turns) to a two-dimensional figure.
-
-
6.1575
-
6.1585
-
6.1595
-
6.16010
-
-
6.GM.4.2
Recognize that translations, reflections, and rotations preserve congruency and use them to show that two figures are congruent.
-
-
6.GM.4.3
Use distances between two points that are either vertical or horizontal to each other (not requiring the distance formula) to solve real-world and mathematical problems about congruent two-dimensional figures.
-
-
6.9115
-
6.1615
-
6.1625
-
6.16315
-
-
6.GM.4.4
Identify and describe the line(s) of symmetry in two-dimensional shapes.
-
-
6.1645
-
-
6.GM.1.1
-
Algebraic Reasoning & Algebra
-
6.A.1.1
Plot integer- and rational-valued (limited to halves and fourths) ordered-pairs as coordinates in all four quadrants and recognize the reflective relationships among coordinates that differ only by their signs.
-
-
6.8610
-
6.8715
-
6.8810
-
6.8915
-
6.905
-
6.9115
-
-
6.A.1.2
Represent relationships between two varying quantities involving no more than two operations with rules, graphs, and tables; translate between any two of these representations.
-
-
6.9215
-
6.935
-
6.945
-
6.9515
-
6.9610
-
6.9715
-
6.9810
-
6.9910
-
6.1005
-
6.1015
-
6.1025
-
6.1035
-
6.10410
-
6.10510
-
-
6.A.1.3
Use and evaluate variables in expressions, equations, and inequalities that arise from various contexts, including determining when or if, for a given value of the variable, an equation or inequality involving a variable is true or false.
-
-
6.9215
-
6.1065
-
6.1075
-
6.10810
-
6.1095
-
6.1105
-
6.1115
-
6.1125
-
6.11315
-
6.1145
-
6.11515
-
6.11610
-
6.1175
-
6.11810
-
-
6.A.2.1
Generate equivalent expressions and evaluate expressions involving positive rational numbers by applying the commutative, associative, and distributive properties and order of operations to solve real-world and mathematical problems.
-
-
6.11910
-
6.12015
-
6.12115
-
6.12215
-
6.12315
-
6.9215
-
6.6215
-
-
6.A.3.1
Represent real-world or mathematical situations using expressions, equations and inequalities involving variables and rational numbers.
-
-
6.1245
-
6.12620
-
6.1275
-
6.12810
-
6.1295
-
6.1305
-
6.1315
-
6.1075
-
6.10810
-
6.1095
-
6.1105
-
-
6.A.3.2
Use number sense and properties of operations and equality to solve real-world and mathematical problems involving equations in the form x + p = q and px = q, where x, p, and q are nonnegative rational numbers. Graph the solution on a number line, interpret the solution in the original context, and assess the reasonableness of the solution.
-
6.A.1.1
-
Data & Probability
-
6.D.1.1
Calculate the mean, median, and mode for a set of real-world data.
-
-
6.16510
-
6.16610
-
6.16710
-
6.16810
-
6.16910
-
6.1705
-
6.1715
-
6.1725
-
6.1735
-
6.1745
-
6.17510
-
6.17610
-
6.17710
-
6.17810
-
6.17910
-
-
6.D.1.2
Explain and justify which measure of central tendency (mean, median, or mode) would provide the most descriptive information for a given set of data.
-
-
6.D.1.3
Create and analyze box and whisker plots observing how each segment contains one quarter of the data.
-
-
6.1805
-
-
6.D.2.1
Represent possible outcomes using a probability continuum from impossible to certain.
-
-
6.D.2.2
Determine the sample space for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by the use of tree diagrams, tables or pictorial representations.
-
-
6.1815
-
6.1825
-
6.1835
-
6.1845
-
6.1855
-
-
6.D.2.3
Demonstrate simple experiments in which the probabilities are known and compare the resulting relative frequencies with the known probabilities, recognizing that there may be differences between the two results.
-
-
6.D.1.1