
Mathematics – Mastery Expectations Grade 6 

Note: * = No state testing 

Number Sense & Operations 


6N1 
Demonstrate an understanding of
positive integer exponents, in particular, when used in powers of ten. 
6N2 
Demonstrate an understanding of place
value to billions and thousandths. 
6N3 
Represent and compare very large (billions) and
very small (thousandths) positive numbers in various forms such as
expanded notation without exponents. 
6N4 
Demonstrate an understanding of fractions as a
ratio of whole numbers, as parts of unit wholes, as parts of a
collection, and as locations on the number line. 
6N5 
Identify and determine common equivalent
fractions, mixed numbers, decimals, and percents. 
6N6 
Find and position integers, fractions, mixed
numbers, and decimals (both positive and negative) on the number line. 
6N7 
Compare and order integers (including negative
integers), and positive fractions, mixed numbers, decimals, and
percents. 
6N8 
Apply number theory conceptsincluding prime and
composite numbers, prime factorization, greatest common factor, least
common multiple, and divisibility rules for 2, 3, 4, 5, 6, 9 and 10 – to
the solution of problems. 
6N9 
Select and use appropriate operations to solve
problems involving addition, subtraction, multiplication, division, and
positive integer exponents with whole numbers, and with positive
fractions, mixed numbers, decimals, and percents. 
6N10 
Use the number line to model addition and
subtraction of integers, with the exception of subtracting negative
integers. 
6N11 
Apply the Order of Operations for expressions
involving addition, subtraction, multiplication, and division with
grouping symbols (+, , x, รท ) 
6N12 
Demonstrate an understanding of the inverse
relationship of addition and subtraction, and use that understanding to
simplify computation and solve problems. 
6N13 
Accurately and efficiently add, subtract,
multiply, and divide (with doubledigit divisors) whole numbers and
positive decimals. 
6N14 
Accurately and efficiently add, subtract,
multiply, and divide positive fractions and mixed numbers. Simplify
fractions. 
6N15 
Add and subtract integers, with the exception of
subtracting negative integers. 
6N16 
Estimate results of computations with whole
numbers, and with positive fractions, mixed numbers, decimals, and
percents. Describe reasonableness of estimates. 



Patterns, Relations & Algebra 


6P1 
Analyze and determine the rules for extending
symbolic, arithmetic, and geometric patterns and progressions. 
6P2 
Replace variables with given values and
evaluate/simplify. 
6P3 
Use the properties of equality to solve problems,
e.g., if Δ + 7 = 13, then Δ = 13 – 7, therefore Δ = 6; if 3 x Δ = 15,
then 1/3 x 3 x Δ = 1/3 x 15, therefore Δ = 15. 
6P4 
Represent real situations and mathematical
relationships with concrete models, tables, graphs, and rules in words
and with symbols, e.g., input – output tables. 
6P5 
Solve linear equations using concrete models,
tables, graphs, and paperpencil methods. 
6P6 
Produce and interpret graphs that represent the
relationship between two variables in everyday situations. 
6P7 
Identify relationships between 2 variables with a
constant rate of change. Contrast these with relationships where the
rate of change is not constant. 



Geometry 


6G1 
Identify polygons based on their properties,
including types of interior angles, perpendicular or parallel sides, and
congruence of sides, e.g., squares, rectangles, rhombuses,
parallelograms, trapezoids, and isosceles, equilateral, and right
triangles. 
6G2 
Identify threedimensional shapes (e.g., cubes,
prisms, spheres, cones, and pyramids) based on their properties, such as
edges and faces. 
6G3 
Identify relationships among points, lines, and
planes, e.g., intersecting, parallel, perpendicular. 
6G4 
Graph points and identify coordinates of points
on the Cartesian coordinate plane (all four quadrants). 
6G5 
Find the distance between two points on
horizontal or vertical number lines. 
6G6 
Predict, describe, and perform transformations on
twodimensional shapes, e.g., translations, rotations, and reflections. 
6G7 
Identify types of symmetry, including line and
rotational. 
6G8 
Determine if two shapes are congruent by
measuring sides or a combination of sides and angles, as necessary; or
by motions or series of motions. 
6G9 
Match threedimensional objects and their
twodimensional representations, e.g., nets, projections, and
perspective drawings 



Measurement 


6M1 
Apply the concepts of area and perimeter to the
solution of problems. Apply formulas where appropriate. 
6M2 
Identify measure, describe, classify, and
construct various angles, triangles, and quadrilaterals. 
6M3 
Solve problems involving proportional
relationships and units of measurement, e.g., same system unit
conversions, scale models, maps and speed. 
6M4 
Find area of triangles and parallelograms.
Recognize that shapes with the same number of sides but different
appearances can have the same area; Develop strategies to find the area
of more complex shapes. 
6M5 
Identify, measure, and describe circles and the
relationships of the radius, diameter, circumference, and area (e.g., d
= 2r, p = C/d), and use the concepts to solve problems. 
6M6 
Find volumes and surface areas of rectangular
prisms. 
6M7 
Find the sum of angles in simple polygons, up to
eight sides (with and w/o measuring the angles). 



Data Analysis, Statistics and Probability 


6D1 
Describe and compare data sets using the concepts
of median, mean, mode, maximum and minimum, and range. 
6D2 
Construct and interpret stem and leaf plots, line
plots, and circle graphs. 
6D3 
Use tree diagrams and other models (e.g., lists
and tables) to represent possible or actual outcomes of trials. Analyze
the outcomes. 
6D4 
Predict the probability of outcomes of simple
experiments (e.g., rolling a die) and test the predictions. Use
appropriate ratios between 0 and 1 to represent the probability of the
outcome and associate the probability with the likelihood of the event. 