7
Quarter 1 Proficiency Scale pg. 1 Grade 6 Math Proficiency Scale Quarter 1 1 = Novice 2 = Partially Proficient 3 = Meeting Expectations 4 = Exceeding Expectations Number Systems With help and support, continues to have intermittent success with partial proficient standard described. Computes quotients of fractions by using visual models and equations to represent the problems. (6.NS.1) Solves real-world problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers. (6.NS.1) Solves multi-steps real- world problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers. With help and support, continues to have intermittent success with the partially proficient(2) standard described. Finds greatest common factor (≤ 100) and least common multiple (≤ 12) for two whole numbers. (6.NS.4) Uses the distributive property to express a sum of two whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. (6.NS.4) Uses the distributive property to express a sum of three or more whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. Geometry With help and support, continues to have intermittent success with partial proficient standard described. Finds the area of right triangles, other triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles or other shapes. (6.G.1) Solves real-world problems involving area of polygons by composing into rectangles or decomposing into triangles or other shapes. (6.G.1) Informally explains how to derive the formulas for a triangle, trapezoid AND parallelogram. Makes Sense of Problems and Persevere Attempts to start the problem, but is unable to complete the process. Attempts to analyze, plan, monitor, and evaluate progress on math problems AND makes one attempt to solve a problem. Analyzes, plans, monitors, and evaluates progress on math problems AND makes several attempts to solve the problem. Not Assessed Attend to Precision Attempts to communicates work and reasoning, but math vocabulary and units are absent AND calculates with repeated basic computation errors. Attempts to communicates work and reasoning using math vocabulary and units AND calculates with basic computation errors. Communicates work and reasoning using math vocabulary and units AND calculates with little or no basic computations error. Not Assessed Construct Argument & Critique Reasoning Communicates their solution(s) to others AND/OR attempts to critique the reasoning without using math vocabulary to support their statement. Attempts to communicate their reasoning and solution(s) to others with math vocabulary AND attempts to critique the reasoning of others by giving feedback. Communicates their reasoning and solution(s) to others with accurate math vocabulary AND critiques the reasoning of others by giving appropriate feedback. Not Assessed

Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

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Page 1: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 1 Proficiency Scale pg. 1

Grade 6 Math Proficiency Scale Quarter 1 1 = Novice 2 = Partially Proficient

3 = Meeting Expectations

4 = Exceeding Expectations

Nu

mb

er

Syst

ems

With help and support, continues to have intermittent success with partial proficient standard described.

Computes quotients of fractions by using visual models and equations to represent the problems. (6.NS.1)

Solves real-world problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers. (6.NS.1)

Solves multi-steps real-world problems involving the division of fractions by fractions and interprets the quotient in the context of the problem, including those that involve mixed numbers.

With help and support, continues to have intermittent success with the partially proficient(2) standard described.

Finds greatest common factor (≤ 100) and least common multiple (≤ 12) for two whole numbers. (6.NS.4)

Uses the distributive property to express a sum of two whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor. (6.NS.4)

Uses the distributive property to express a sum of three or more whole numbers between one and 100 with a common factor as a multiple of a sum of two whole numbers with no common factor.

Geo

met

ry

With help and support, continues to have intermittent success with partial proficient standard described.

Finds the area of right triangles, other triangles, and special quadrilaterals by composing into rectangles or decomposing into triangles or other shapes. (6.G.1)

Solves real-world problems involving area of polygons by composing into rectangles or decomposing into triangles or other shapes. (6.G.1)

Informally explains how to derive the formulas for a triangle, trapezoid AND parallelogram.

Mak

es S

ense

of

Pro

ble

ms

and

Pe

rsev

ere

Attempts to start the problem, but is unable to complete the process.

Attempts to analyze, plan, monitor, and evaluate progress on math problems AND makes one attempt to solve a problem.

Analyzes, plans, monitors, and evaluates progress on math problems AND makes several attempts to solve the problem.

Not Assessed

Att

end

to

Pre

cisi

on

Attempts to communicates work and reasoning, but math vocabulary and units are absent AND calculates with repeated basic computation errors.

Attempts to communicates work and reasoning using math vocabulary and units AND calculates with basic computation errors.

Communicates work and reasoning using math vocabulary and units AND calculates with little or no basic computations error.

Not Assessed

Co

nst

ruct

Arg

um

en

t

& C

riti

qu

e R

easo

nin

g Communicates their solution(s) to others AND/OR attempts to critique the reasoning without using math vocabulary to support their statement.

Attempts to communicate their reasoning and solution(s) to others with math vocabulary AND attempts to critique the reasoning of others by giving feedback.

Communicates their reasoning and solution(s) to others with accurate math vocabulary AND critiques the reasoning of others by giving appropriate feedback.

Not Assessed

Page 2: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 2 Proficiency Scale pg. 1

Grade 6 Math Proficiency Scale Quarter 2 1 – Novice 2 = Partially Proficient 3 = Meeting Expectations

4 = Exceeding Expectations

Rat

io &

Pro

po

rtio

nal

Rea

son

ing

With help and support, continues to have intermittent success with partial proficient standard described.

Recognizes or recalls specific vocabulary, such as equivalent, rate, ratio, unit rate (6.RP.1)

Uses ratio language to describe a ratio relationship between two quantities including part to part and part to whole ratios (6.RP.1)

Solves real-world problems involving equivalent ratios, unit rates, and percents (6.RP.3)

With help and support, continues to have intermittent success with partial proficient standard described.

Recognizes multiple equivalent representations of ratios (example: 1:2, 1 to 2, 1/2) (6.RP.2)

Uses unit rates to describe a ratio relationship. (6.RP.2)

Uses multiple representations of proportional relationships to justify reasoning. (6.RP.3)

Geo

met

ry

With help and support, continues to have intermittent success with partial proficient standard described.

Finds the volume of a right rectangular prism by packing it with unit cubes of the appropriate fractional edge length. (6.G.2) AND represents three-dimensional figures using nets made up of rectangles and triangles. (6.G.4)

Uses nets to find the surface area of right rectangular and right square pyramids in real-world problems (6.G.4) AND applies the formulas 𝑉 = 𝑙𝑤ℎ and 𝑉 =𝐵ℎ to find the volume of right rectangular prism with fractional edge lengths in the context of solving real-world and mathematical problems. (6.G.2)

Finds the volume of a right non-rectangular prism with fractional edge lengths.

Nu

mb

er

Syst

ems

With help and support, continues to have intermittent success with partial proficient standard described.

Fluently divides multi-digit numbers using strategies flexibly including the standard algorithm. (6.NS.2) AND fluently adds, subtracts, multiplies, and divides multi-digit decimals using strategies flexibly including the standard algorithm for each operation. (6.NS.3)

Solves real-world problems involving one operation of multi-digit decimals. (6.NS.3)

Solves multi-step real-world problems involving two or more operations of multi-digit decimals.

Mak

es S

ense

of

Pro

ble

ms

and

Pe

rsev

ere

Attempts to start the problem, but is unable to complete the process.

Attempts to analyze, plan, monitor, and evaluate progress on math problems AND makes one attempt to solve a problem.

Analyzes, plans, monitors, and evaluates progress on math problems AND makes several attempts to solve the problem.

Not Assessed

Att

end

to

Pre

cisi

on

Attempts to communicates work and reasoning, but math vocabulary and units are absent AND calculates with repeated basic computation errors.

Attempts to communicates work and reasoning using math vocabulary and units AND calculates with basic computation errors.

Communicates work and reasoning using math vocabulary and units AND calculates with little or no basic computations error.

Not Assessed

Page 3: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 2 Proficiency Scale pg. 2

Co

nst

ruct

Arg

um

en

t

& C

riti

qu

e R

easo

nin

g

Communicates their solution(s) to others AND/OR attempts to critique the reasoning without using math vocabulary to support their statement.

Attempts to communicate their reasoning and solution(s) to others with math vocabulary AND attempts to critique the reasoning of others by giving feedback.

Communicates their reasoning and solution(s) to others with accurate math vocabulary AND critiques the reasoning of others by giving appropriate feedback.

Not Assessed

Page 4: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 3 Proficiency Scale pg. 1

Grade 6 Math Proficiency Scale Quarter 3 1 – Novice 2 = Partially Proficient 3 = Meeting Expectations

4 = Exceeding Expectations

Rat

ios

& P

rop

ort

ion

al R

easo

nin

g

With help and support, continues to have intermittent success with partial proficient standard described.

Recognizes or recalls specific vocabulary, such as equivalent, rate, ratio, unit rate (6.RP.1) AND uses ratio language to describe a ratio relationship between two quantities including part to part and part to whole ratios (6.RP.1)

Solves real-world problems involving equivalent ratios, unit rates, and percents (6.RP.3)

Uses proportional relationships to solve multi-step ratio and percent problems.

With help and support, continues to have intermittent success with partial proficient standard described.

Recognizes multiple equivalent representations of ratios (example: 1:2, 1 to 2, 1/2) (6.RP.2) AND uses unit rates to describe a ratio relationship. (6.RP.2)

Uses multiple representations of proportional relationships to justify reasoning. (6.RP.3)

Equ

atio

ns

and

Exp

ress

ion

s

With help and support, continues to have intermittent success with the partially proficient standard described.

Writes expressions involving exponents, numbers, and letters standing for numbers (6.EE.1 & 2a) AND identifies parts of an expression using mathematical terms (6.EE.2b)

Evaluates expressions at specific values of their variables including whole-number exponents (6.EE.1 & 2c)

With help and support, continues to have intermittent success with the partially proficient standard described.

Identifies when two expressions are equivalent(6.EE.4)

Applies the properties of operations to generate equivalent expressions (6.EE.3)

Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients.

With help and support, continues to have intermittent success with the partially proficient standard described.

Uses substitution to determine whether a given number makes an equation or inequality true (6.EE.5) AND uses variables to represent numbers and write expressions (6.EE.6)

Solves real-world and mathematical one-step equations of the form 𝑥 + 𝑝 = 𝑞 and 𝑝𝑥 = 𝑞 when all variables are non-negative, rational numbers (6.EE.7)

Solves real-world problems leading to two-step equations of the form 𝑝𝑥 +𝑞 = 𝑟 and 𝑝(𝑥 + 𝑞) = 𝑟, where p, q, and r are specific rational numbers.

Mak

es S

ense

of

Pro

ble

ms

and

Pe

rsev

ere

Attempts to start the problem, but is unable to complete the process.

Attempts to analyze, plan, monitor, and evaluate progress on math problems AND makes one attempt to solve a problem.

Analyzes, plans, monitors, and evaluates progress on math problems AND makes several attempts to solve the problem.

Not Assessed

Page 5: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 3 Proficiency Scale pg. 2

Att

end

to

Pre

cisi

on

Attempts to communicates work and reasoning, but math vocabulary and units are absent AND calculates with repeated basic computation errors.

Attempts to communicates work and reasoning using math vocabulary and units AND calculates with basic computation errors.

Communicates work and reasoning using math vocabulary and units AND calculates with little or no basic computations error.

Not Assessed C

on

stru

ct A

rgu

me

nt

& C

riti

qu

e R

easo

nin

g

Communicates their solution(s) to others AND/OR attempts to critique the reasoning without using math vocabulary to support their statement.

Attempts to communicate their reasoning and solution(s) to others with math vocabulary AND attempts to critique the reasoning of others by giving feedback.

Communicates their reasoning and solution(s) to others with accurate math vocabulary AND critiques the reasoning of others by giving appropriate feedback.

Not Assessed

Page 6: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 4 Proficiency Scale pg. 1

Grade 6 Math Proficiency Scale Quarter 4 1 – Novice 2 = Partially Proficient 3 = Meeting Expectations

4 = Exceeding Expectations

Nu

mb

er

Syst

ems

With help and support, continues to have intermittent success with the partially proficient standard described.

Finds and positions rational numbers, including integers, on a number line (6.NS.6c)

Writes, interprets, and explains statements of order for rational numbers in real-world context (6.NS.7b)

Explains how to and find the sum of any two rational numbers using a number line.

With help and support, continues to have intermittent success with the partially proficient standard described.

Uses positive and negative numbers to represent qualities in real-world context explaining the meaning of zero in each situation (6.NS.5) AND recognizes opposite signs of numbers as indicating location on opposite sides of 0 on the number line (6.NS.6a) AND interprets statements of inequalities as statements about the relative position of two numbers on a number line diagram. (6.NS.7a)

Interprets absolute value as a magnitude for a positive and negative quantity in a real-world situation (6.NS.7c) AND Distinguishes comparisons of absolute values from statements about order. (6.NS.7d)

Explains how to and find the sum of any two rational numbers using a number line AND explains how to and find the sum of any two rational numbers using a number line.

With help and support, continues to have intermittent success with the partially proficient standard described.

Finds and positions rational numbers, including integer, on the coordinate plane. (6.NS.6) AND understands signs of numbers in order pairs as indicating location in quadrants of the coordinate plane; recognizes that when two ordered pairs differ only by signs, the location of the points are related by reflection across one or both axes. (6.NS.6b)

Uses coordinates and absolute value to find the distances between points with the same first coordinate or the same second coordinate. (6.NS.8) AND graphs points (including rational numbers) in all four quadrants of the coordinate plane to solve real-world and mathematical problems. (6.NS.6, 6.NS.8)

Not Assessed

Exp

ress

ion

s &

Eq

uat

ion

s

With help and support, continues to have intermittent success with the partially proficient standard described.

Represents solutions of inequalities on number line diagrams (6.EE.8)

Writes an inequality of the form 𝑥 > 𝑐 or 𝑥 < 𝑐 to represent a constraint or condition of a real-world or mathematical problem (6.EE.8)

solves real-world problems leading to equations of the form 𝑝𝑥 + 𝑞 > 𝑟 and 𝑝𝑥 +𝑞 < 𝑟, where p, q, and r are specific rational numbers.

With help and support, continues to have intermittent success with the partially proficient standard described.

Writes an equation to express one quantity (dependent variable) in terms of the other quantity (independent variable). (6.EE.9)

Analyzes the relationship between the independent and dependent variable using graphs, tables, and equations. (6.EE.9)

Not Assessed

Page 7: Grade 6 Math Proficiency Scale Quarter 1 - West Fargo ... · Grade 6 Math Proficiency Scale Quarter 1 ... (6.EE.7) Solves real-world ... Grade 6 Math Proficiency Scale Quarter 4 1

Quarter 4 Proficiency Scale pg. 2

Stat

isti

cs

With help and support, continues to have intermittent success with partial proficient standard described.

Describes the distribution of a set a data by center, spread, and overall shape (6.SP.2) AND displays numerical data on a histogram and a box plot (6.SP.4) AND describes surface features of numerical data sets (for example, number of observations, how the attributes were measured, units of measure) (6.SP.5a & b)

Calculates quantitative measures of center (median, mean) and variability (interquartile range, mean absolute deviation) (6.SP.5c) AND describes patterns and deviations from patterns in the data (6.SP.5c) AND chooses the appropriate measure of center and variability based on the shape of the data distribution and the context in which the data is gathered (6.SP.5d)

Draws multiple inferences about the measures of center and variability when comparing two different box plots or histograms.

Geo

met

ry

Attempts to start the problem, but is unable to complete the process.

Draws polygons on the coordinate plane given the coordinates for the vertices AND uses coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. (6.G.3)

Solves real-world problems by drawing polygons on coordinate planes and finding lengths of side. (6.G.3)

Not Assessed

Mak

es S

ense

of

Pro

ble

ms

and

Pe

rsev

ere

Attempts to start the problem, but is unable to complete the process.

Attempts to analyze, plan, monitor, and evaluate progress on math problems AND makes one attempt to solve a problem.

Analyzes, plans, monitors, and evaluates progress on math problems AND makes several attempts to solve the problem.

Not Assessed

Att

end

to

Pre

cisi

on

Attempts to communicates work and reasoning, but math vocabulary and units are absent AND calculates with repeated basic computation errors.

Attempts to communicates work and reasoning using math vocabulary and units AND calculates with basic computation errors.

Communicates work and reasoning using math vocabulary and units AND calculates with little or no basic computations error.

Not Assessed

Co

nst

ruct

Arg

um

en

t &

Cri

tiq

ue

Rea

son

ing

Communicates their solution(s) to others AND/OR attempts to critique the reasoning without using math vocabulary to support their statement.

Attempts to communicate their reasoning and solution(s) to others with math vocabulary AND attempts to critique the reasoning of others by giving feedback.

Communicates their reasoning and solution(s) to others with accurate math vocabulary AND critiques the reasoning of others by giving appropriate feedback.

Not Assessed