Download 5th Grade Math Learning Scales

 WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Fifth Grade Spring 2016 WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Numbers and Operations: Fact Fluency Grade Level: Fifth Units: All Quarters Score Expectation Descriptor Sample Tasks 4.0 3.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. The student will: ● add, subtract, multiply, and divide ● fluently complete 75 problems total with operations mixed in 6 minutes The student exhibits no major errors or omissions regarding the more complex ideas and processes. Qt. 1: ​
75 problems in 6 minutes 2.0 1.0 Qt. 3: ​
75 problems in 6 minutes Qt. 4: ​
75 problems in 6 minutes There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
sum, difference, product, and quotient ● performs basic processes, such as: adding, subtracting, multiplying, and dividing However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Qt. 1: ​
50­74 problems in 6 minutes Qt. 2: ​
75 problems in 6 minutes Qt. 2: ​
50­74 problems in 6 minutes Qt. 3: ​
50­74 problems in 6 minutes Qt. 4 :​
50­74 problems in 6 minutes With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Number Sense Grade Level: Fifth Units: ​
1­ Whole Numbers​
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2­ Whole Number Multiplication and Division Score Expectation Descriptor Sample Tasks 4.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. 3.0 The student will: ● count by ten thousands, hundred thousands, and read numbers to the millions ● write numbers to a million in expanded form and expanded form with exponents ● compare numbers greater than one million ● identify and explain​
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rules to complete number patterns ● use rounding to estimate sums, differences, products, and quotients ● use compatible numbers to estimate quotients ● illustrate and explain the multiplication and division of whole numbers using equations, rectangular arrays and/or and or area models ● follow order of operations to solve expressions The student exhibits no major errors or omissions regarding the more complex ideas and processes. 2.0 There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
hundred thousand, standard form, word form, periods, million, place value, expanded form, greater than, less than, round, estimate, front end estimation with adjustment, compatible numbers, area model, digit, divide, dividend, division, divisor, equation, illustrate, model, multiplication multiply, reasoning, rectangular array, strategy, parentheses, order of operations, brackets, expressions, equations, variable ● writes numbers in standard form (base­ten numerals), expanded form, and word form (number names) ● identifies that each digit of a number has a value and a place ● compares numbers ● rounds numbers to the greater thousand Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales ●
adds, subtracts, and multiplies whole numbers and divides whole numbers with up to four digit dividends and two digit divisors However, the student exhibits major errors or omissions regarding the more complex ideas and processes. 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Numbers and Operations: Fractions Grade Level: Fifth Units: ​
4­ Fractions Score Expectation Descriptor Sample Tasks 4.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. 3.0 The student will: ● solve word problems involving the addition and subtraction of fractions and mixed numbers with like and unlike denominators referring to the same whole, including cases of unlike denominators ● write single­step real world problems for given situations involving fractions ● use benchmark fractions to estimate answers and check for reasonableness ● solve real world problems involving multiplication of fractions, improper fractions, and mixed numbers ● solve real world problems involving division of unit fractions by non­zero whole numbers and division of whole numbers by unit fractions ● interprets multiplication as scaling (ex. Multiplying a given number by a fraction greater than one results in a product greater than the given number. Multiplying a given number by a fraction less than one results in a product smaller than the given number.) ● convert fractions to decimals The student exhibits no major errors or omissions regarding the more complex ideas and processes. 2.0 There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
add, addition, benchmark fraction, denominator, ​
estimate, fraction, mixed number, reasonableness, refer, subtract, subtraction, unlike, whole, word problem, divide, division, greater than, interpret, less than, multiplication, multiply, numerator, product, real world, scaling, unit fraction, and whole number ● adds and subtracts fractions with like and unlike denominators, including mixed numbers and improper fractions ● interprets a fraction as division of the numerator by the denominator and determine the location of the fraction between two whole numbers ● multiplies a fraction by a whole number or a fraction Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales ● divides unit fractions by whole numbers and whole numbers by unit fractions However, the student exhibits major errors or omissions regarding the more complex ideas and processes. 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Numbers and Operations: Decimals Grade Level: Fifth Units: ​
1­ Decimals​
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2­ Multiplying and Dividing Decimals Score Expectation Descriptor Sample Tasks 4.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. 3.0 The student will: ● use whole number exponents to denote powers of 10 ● compare and order decimals to thousandths ● round decimals to any place value ● add, subtract, and multiply with two decimal places by a whole number ● multiply decimals by 10’s, 100’s, and 1000’s ● divide decimals with two decimal places by a whole number with regrouping ● divide decimals by 10’s, 100’s, and 1000’s ● convert decimals to fractions ● write single­step real world problems for given situations involving decimals ● solve real world multi­step problems involving decimals The student exhibits no major errors or omissions regarding the more complex ideas and processes. 2.0 There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
base ten numeral, compare, decimal, decimal point, digit, divide, expanded form, exponent, multiply, number, number name, pattern, base, powers of ten, round, thousandth, value, whole number ● describes the value of digits in multi digit numbers (ex. a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents to its left) ● explains patterns in the number of zeroes and the decimal point when multiplying or dividing by powers of 10 ● reads and writes decimals to thousandths using base ten numerals, number names, and expanded form ● solve real world single­step problems involving decimals However, the student exhibits major errors or omissions regarding the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Geometry and Measurement Grade Level: Fifth Units:​
5­ Triangles and Angles​
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6­ Geometric Shapes​
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7­ Surface Area and Volume Score Expectation Descriptor Sample Tasks 4.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. 3.0 The student will: ● classify 2​
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dimensional figures in a hierarchy based on properties ● classify 3 dimensional figures based on properties ● graph points in the first quadrant of coordinate plane and interpret movement in the first quadrant ● apply the formula, V=l x w x h to find the volume of right rectangular prisms ● find volumes of solid figures composed of two non­overlapping right rectangular prisms by adding the volumes of the parts ● find area of a triangle ● will use conversions to solve multi­step word problems (list out specific measurement conversions) The student exhibits no major errors or omissions regarding the more complex ideas and processes. 2.0 There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
figure, hierarchy, property, 2 dimensional, axis, coordinate, coordinate plane, coordinate system, graph, interpret, net, number, non­standard units, number line, ordered pair, perpendicular, plane, point, position, quadrant, add, attribute, centimeter, count, cube, cubic, foot, figure, formula, improvised, inch, measure, overlap, part, relationship, right rectangular prism, solid, sum, unit cube, volume, centimeter conversions, foot, measurement, meter, unit, word problem, yard, surface area, volume ● describes the properties of 2 dimensional figure ● describes coordinate system as a set of perpendicular number lines ● describes how to find a given point on a plane ● explains that volume is an attribute of three dimensional figures ● measures volume by counting volume cubes using cubic cm, cubic inches, cubic feet, and non­standard units and understand the relationship between the sum of the cubes and the volume formula, V= LxWxH Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales ● converts among different size standard measurement units with a given measurement system However, the student exhibits major errors or omissions regarding the more complex ideas and processes. 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory WSD Elementary Report Card Mathematics Indicators & Proficiency Scales Math Data Analysis Grade Level: Fifth Units: ​
8­ Graphs and Probability Score Expectation Descriptor Sample Tasks 4.0 In addition to score 3.0 performance, the student demonstrates in­depth inferences and applications that go beyond what was taught. 3.0 The student will: ● interpret a graphs and tables (ex. double bar, picto, double line, line plot, stem and leaf plot, pie, tree diagram) ● graph an equation ● compare theoretical and experimental probabilities of an event​
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using fractions ● describe sets of data using range, median, mode, mean, and outliers The student exhibits no major errors or omissions regarding the more complex ideas and processes. 2.0 There are no major errors or omissions regarding the simpler details and processes as the student: ● recognizes or recalls academic vocabulary, such as: ​
double bar graph, key, coordinate grid, x­axis, y­axis, coordinate plane, coordinates, ordered pair, x­coordinate, likely, unlikely, equally likely, double bar graph, double line graph, pictograph, line graph, line plot, stem and leaf plot, pie graph, tree diagram ● makes a graphs or table (ex. double bar, picto, double line, line plot, stem and leaf plot, pie, tree diagram) from two sets of data ● calculates range, median, mode, and mean ● identifies and explain outliers in a set of data ● reads and plots points on a coordinate grid ● uses multiplication to find the number of combinations ● compares probabilities of an outcome However, the student exhibits major errors or omissions regarding the more complex ideas and processes. 1.0 With help, a partial understanding of some of the simpler details and processes and some of the more complex ideas and processes. Spring 2016 Adapted from the Marzano Research Laboratory