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Math 2-5 Operations and Algebraic Thinking (2-5) Math: Operations and Algebraic Thinking: Add & Subtract: Represent and Solve Problems ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Operations and Algebraic Thinking: Add & Subtract: Represent and Solve Problems RIT 221-230: tence RIT 211-220: RIT 201-210: -world whole number problems involving subtraction with numbers 100 and under (analysis) r 1000 -step open sentences with missing addends (numbers over 100) -step open sentences with missing addends -facts calculations on both sides of the sentence RIT 191-200: ded from a simple problem -world whole number addition problems with sums to 20 (result unknown) - with extraneous information given -world whole number problems involving subtraction w/ numbers 100 and under, and under 1000 on open sentences using diagrams and models (e.g., using balances) -step open sentences with missing addends (numbers 100 and under) -step open sentences with missing addends (numbers over 100) -step open sentences with missing addends RIT 181-190: -world whole number addition problems with sums to 20 (result unknown) - with extraneous information given -world whole number addition problems with sums to 20 (start unknown) -world whole number addition problems with sums to 100 (result unknown) -world whole number addition problems with sums to 1000 -world whole number problems involving subtraction with numbers under 20 -world whole number problems involving subtraction with numbers 100 and under -world whole number problems involving subtraction with numbers under 1000 -world whole number problems involving addition and subtraction ing diagrams and models (e.g., using balances) -step open sentences with missing addends (numbers 100 and under) RIT 171-180: -world whole number addition problems with sums to 20 (result unknown) -world whole number addition problems with sums to 20 (start unknown) -world whole number addition problems with sums to 20 (change unknown) -world whole number addition problems with sums to 100 (result unknown) -world whole number addition problems with sums to 1000 -world whole number problems involving subtraction with numbers under 20 -facts open sentences - addition and subtraction RIT Below 171: -world whole number addition problems with sums to 20 (result unknown) -facts open sentences - addition and subtraction Math: Operations and Algebraic Thinking: Multiply & Divide: Represent and Solve Problems ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Operations and Algebraic Thinking: Multiply & Divide: Represent, Solve Problems Students: RIT 221-230: -step, 2-digit divisor) -step open sentences with missing factors RIT 211-220: the inverse relationship between multiplication and division -step, 2-digit divisor) -step open sentences with missing factors RIT 201-210: -world problem with whole number division facts with dividend and divisors less than 11 numbers 100 and under) RIT 191-200: -world problem sion as repeated subtraction) bers 100 and under) RIT 181-190: repeated subtraction) ng of the zero property of multiplication Math: Operations and Algebraic Thinking: Solve Problems & Analyze Patterns & Relationships ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Operations and Algebraic Thinking: Solve Problems & Analyze Patterns & Relationships Students: RIT Above 250: RIT 241-250: -world problems RIT 231-240: -world problems RIT 221-230: em -world problems using reasoning strategies -world multiple-step problems involving whole numbers -world problems RIT 211-220: -world problems using reasoning strategies Solves real-world problems involving 2-step multiple operations, whole numbers only -world multiple-step problems involving whole numbers - using numbers - odd and even terms (such as 1,5,4,8,7,...) - explicit quadratic rule - recursive rule is to add x more each time (such as 1,2,4,7,...) RIT 201-210: -world problems using reasoning strategies -step, 1-digit divisor) -world problems involving 2-step multiple operations, whole numbers only ing arithmetic pattern, defined by objects or diagrams - odd and even terms (such as 1,5,4,8,7,...) - explicit quadratic rule - recursive rule is to add x more each time (such as 1,2,4,7,...) Math: Operations and Algebraic Thinking: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Operations and Algebraic Thinking: Vocabulary and Signs & Symbols Students: RIT 231-240: Vocabulary: none Signs and Symbols: • multiplication symbol (dot), - negative number RIT 221-230: Vocabulary: none Signs and Symbols: none RIT 211-220: Vocabulary: proof Signs and Symbols: ? a variable, long division symbol, ? next in sequence, R remainder RIT 201-210: Vocabulary: half-dollar, minimum, plus Signs and Symbols: ¢ cent sign, + positive number, = is equal to RIT 191-200: Vocabulary: capacity, composite number, each, prime number Signs and Symbols: ( ) order of operations, ° degress Fahrenheit, $ dollar sign, ft feet, g gram, min minute RIT 181-190: Vocabulary: gave, left, odd number, row, symmetrical, unifix cubes Signs and Symbols: { } set notation, ÷ division, x multiplication RIT 171-180: Vocabulary: none Signs and Symbols: lb pound RIT Below 171: Vocabulary: none Signs and Symbols: + addition, = is equal to, - subtraction, variable Numbers and Operations in Base Ten (2-5) Math: Number & Operations in Base Ten: Understand Place Value, Counting & Cardinality ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Number & Operations in Base Ten: Understand Place Value, Counting & Cardinality Students: RIT Above 230: -thousandth RIT 221-230: ones) usandths place (e.g., three thousandths = 0.003) s and orders decimals past the thousandths place -world problems involving multiplication and division of numbers less than 100 (whole numbers only) -world problems involving numbers less than 1000 with multiplication and division (whole numbers only) RIT 211-220: - 999 using 2-D and 3-D models - and 3-D models -, 5-, and 6-digit whole numbers to the nearest hundred -, 5-, and 6-digit whole numbers to the nearest thousand -, 5-, and 6-digit whole numbers to the nearest ten thousand to the nearest whole number -world problems involving multiplication and division of numbers less than 100 (whole numbers only) -world problems involving numbers less than 1000 with multiplication and division (whole numbers only) ion and division problems (whole numbers only) RIT 201-210: -10 blocks -, 5-, and 6-digit whole numbers to the nearest ten Rounds 4-, 5-, and 6-digit whole numbers to the nearest hundred -, 5-, and 6-digit whole numbers to the nearest thousand ole numbers using place value (e.g., 54 = 4 tens and 14 ones) n place value concepts with whole numbers to solve problems -world problems involving numbers 1000 or greater with addition and subtraction (whole numbers only) Math: Number & Operations in Base Ten: Operations with Multi-Digit Whole Numbers ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Number & Operations in Base Ten: Operations with Multi-Digit Whole Numbers RIT 221-230: -patterns, decomposing, partial products) -digit numbers -digit number by a 2-digit number RIT 211-220: -digit number by a 2-digit number with regrouping ation -digit number by a 3-digit number - or more digit number by multiples of 100 or 1000 -digit numbers -digit number or a 3-digit number by a 1-digit number with a remainder s a 4-digit number by a 1-digit number with no remainder -digit number by a 2-digit number -digit number by a 2-digit number RIT 201-210: -digit numbers, with regrouping, with sums over 1000 tation with more than 4 addends - or 4-digit numbers with regrouping -12 and the other factor is 0-12 recalls basic multiplication and division facts in a table -digit number by a 1-digit number with regrouping - or 4-digit number by a 1-digit number -digit numbers -digit number by a 2-digit number with no regrouping -digit number by a 2-digit number with regrouping - or 3-digit number by multiples of 10 or 100 -digit number by a 3-digit number -digit number by a 1-digit number with no remainder -digit number or a 3-digit number by a 1-digit number with a remainder -digit number by a 1-digit number with no remainder -digit number by a multiple of 10 -digit number by a 2-digit number RIT 191-200: rms of whole numbers 11 to 20 using addition (e.g., 14 = 7 + 7) - and/or 4-digit numbers, with regrouping, with sums over 1000 -digit numbers, with regrouping, with sums over 1000 -digit number from a 2-digit number with regrouping -digit number from a 2-digit number, with regrouping -digit numbers (e.g., decomposing, compatible, compensation, partial sums, counting on) -digit number from a 3-digit number with a single regrouping - or 4-digit numbers with regrouping s multiple-digit numbers with no regrouping -12 and the other factor is 0-12 - or 3-digit number by a 1-digit number with no regrouping -digit number by a 1-digit number with regrouping Math: Number and Operations Base Ten: Operations with Decimals ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Number and Operations in Base Ten: Operations with Decimals Students: RIT Above 230: RIT 221-230: -thousandths place the hundredths place (not same number of digits) -thousandths place, horizontally , horizontally sandths) RIT 211-220: -thousandths place ls to the thousandths place, horizontally, with and without regrouping RIT 201-210: -thousandths place ths or hundredths) RIT 191-200: t (not same number of digits) -thousandths place, vertically RIT 181-190: g -world problems involving decimals (not money) using addition and subtraction Math: Number and Operations Base Ten: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Numbers and Operations Base Ten: Vocabulary and Signs & Symbols Students: RIT 221-230: Vocabulary: ten million Signs and Symbols: none RIT 211-220: Vocabulary: none Signs and Symbols: none RIT 201-210: Vocabulary: compatible numbers, expanded numeral, twice Signs and Symbols: ÷ division, missing operations, ∅ null or empty set RIT 191-200: Vocabulary: billion, hundred million, longer, quintillion, standard numeral, trillion Signs and Symbols: $ dollar sign, > greater than, < less than, R remainder RIT 181-190: Vocabulary: closest, digit, million, nearest, one, ten thousand Signs and Symbols: { } set notation, long division, symbol RIT 171-180: Vocabulary: fact family, hundred, thousand Signs and Symbols: ( ) order of operations RIT 161-170: Vocabulary: none Signs and Symbols: + addition, = is equal to, x multiplication, - subtraction, variable Math: Number & Operations: Fractions: Develop Understanding of Fractions as Numbers ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Number & Operations: Fractions: Develop Understanding of Fractions as Numbers Students: RIT 231-240: RIT 221-230: region or set RIT 211-220: s fractions to lowest terms es fractions and mixed numbers hole numbers) as a decimal RIT 201-210: tes the missing number in a proportion using basic facts RIT 191-200: -half from a region or set RIT 181-190: a diagram or model region or set RIT Below 181: Math: Number & Operations: Fractions: Add, Subtract, Multiply, Divide ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Number & Operations: Fractions: Add, Subtract, Multiply & Divide Students: RIT Above 240: RIT 231-240: -world problems involving addition and subtraction of fractions where converting both denominators is necessary - or more step real-world problems involving fractions with multiplication and division RIT 221-230: tion" xed fractions where converting from improper fractions is necessary -world problems involving addition and subtraction of fractions where converting one denominator is necessary ctions -step real-world problems involving fractions with multiplication and division - or more step real-world problems involving fractions with multiplication and division RIT 211-220: ons with unlike denominators without reducing -world problems involving addition and subtraction of fractions where converting one denominator is necessary -step real-world problems involving fractions with multiplication and division RIT 201-210: Math: Number & Operations: Fractions: Add, Subtract, Multiply & Divide ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Number & Operations: Fractions: Add, Subtract, Multiply & Divide Students: RIT 221-230: Vocabulary: cord, short Signs and Symbols: ÷ division, $ dollar sign RIT 211-220: Vocabulary: lowest term, lowest terms, reduce, triple Signs and Symbols: > greater than, < less than, ≠ not equal to, % percent RIT 201-210: Vocabulary: biggest, mixed number Signs and Symbols: + addition, ¢ cent sign, x multiplication RIT 191-200: Vocabulary: none Signs and Symbols: - subtraction, variable RIT 181-190: Vocabulary: fourths, thirds Signs and Symbols: = is equal to Math: Geometry: Reason with Shapes and Their Attitudes ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Geometry: Reason with Shapes and Their Attributes Students: RIT Above 240: RIT 231-240: RIT 221-230: RIT 211-220: shapes g., circle/sphere, square/cube, rectangle/rectangular solid) RIT 201-210: faces with equal areas and congruent shapes, right angle corners) RIT 191-200: on rectangular prisms -D shapes and objects according to their attributes different shapes that were used to make the original shape RIT 181-190: triangle, circle) RIT 171-180: -world objects over, under, above, below, behind, in front, middle) RIT Below 171: Compares open and closed figures Sorts solid figures and objects according to attributes Math: Geometry: Identify Lines and Angles and Graph Points ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Geometry: Identify Lines & Angles and Graph Points Students: RIT Above 250: RIT 241-250: RIT 231-240: RIT 221-230: , following grid lines, in the first quadrant on a coordinate graph (as in city blocks) RIT 211-220: rdinate grid RIT 201-210: t RIT 191-200: locations in first quadrant on labeled grid or coordinate system (e.g., map or graph) RIT 181-190: Math: Geometry: Vocabulary and Signs and Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Geometry: Vocabulary and Signs and Symbols Students: RIT 231-240: Vocabulary: acute triangle Signs/Symbols: congruent segment symbol RIT 221-230: Vocabulary: equilateral triangle, isosceles triangle, obtuse triangle, scalene triangle Signs/Symbol: in. inch, ∟ right angle marker, segment overbar RIT 211-220: Vocabulary: acute angle, congruent angle, geometric solid, obtuse angle, straight angle, union Signs/Symbols: < angle, angle marker (arc), ° degrees RIT 201-210: Vocabulary: coordinate, coordinate point, edge, origin, parallel line, regular polygon, trapezoid Signs/Symbols: none RIT 191-200: Vocabulary: face, intersect, kite, large, oval, parallel, plane, rhombus, straight, vertical line Signs/Symbols: = is equal to RIT 181-190: Vocabulary: grid, smallest, symmetry Signs/Symbols: ( ) ordered pair, •point RIT 171-180: Vocabulary: ray Signs/Symbols: none RIT Below 171: Vocabulary: corner, flat Signs/Symbols: none Math 6+ Math: Algebra, Functions, Expressions & Equations: Expressions & Properties of Operations ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Algebra, Functions, Expressions & Equations: Expressions & Properties of Operations Students: RIT Above 260: RIT 251-260: ation nomials using difference of squares RIT 241-250: operations, including exponents (whole numbers only) ssions with scientific notation RIT 231-240: the order of operations (whole numbers only) ty - monomial by a binomial) RIT 221-230: whole numbers in standard and exponential form unknowns) Math: Algebra, Functions, Expressions & Equations: Solve Problems and Use Equations & Inequalities ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 4 Math: Algebra, Functions, Expressions & Equations: Solve Problems and Use Equations & Inequalities Students: RIT Above 260: -world systems of linear equations RIT 251-260: ning strategies to solve problems -world and theoretical problems r a specific variable istributive property, variables on both sides) -world situations -world systems of linear equations RIT 241-250: tions to represent situations involving variable quantities -step open sentences with missing factors (variables on both sides of the sentence) open sentences with fractions -world problems -world and theoretical problems -world problems (e.g., using distributive property, variables on both sides) tems of linear equations -world situations RIT 231-240: -world problems involving addition and subtraction of fractions where converting both denominators is necessary - or more step real-world problems involving fractions with multiplication and division ns, conversions) -world problems involving rate of pay -world problems involving rate of pay with time and a half -world problems involving decimals (e.g., multiple multiplications, conversions) ses a simple linear equation from a contextual situation -step open sentences with missing factors (variables on both sides of the sentence) -step linear equations Math: Algebra, Functions, Expressions & Equations: Solve Problems and Use Equations & Inequalities ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Algebra, Functions, Expressions & Equations: Use Functions to Model Relationships Students: RIT Above 260: RIT 251-260: -world function using a complex equation (e.g., variables on both sides, distributive, rational) ion of exponential functions RIT 241-250: tions with varying rates of change -world function using a complex equation (e.g., variables on both sides, distributive, rational) Determines the x- and/or y-intercept of an equation of a function RIT 231-240: -world functions using an equation o a rule RIT 221-230: sive terms (present term, next term) RIT 211-220: - using numbers ithmetic growing patterns - odd and even terms (such as 1,5,4,8,7,...) Math: Algebra, Functions, Expressions & Equations: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Algebra, Functions, Expressions & Equations: Vocabulary and Signs & Symbols RIT Above 260: Vocabulary: semi-annual Signs and Symbols: P principal, r rate, t time RIT 251-260: Vocabulary: coordinate plane, quadratic equation, undefined, wider, x-coordinate, y-coordinate Signs and Symbols: { } set notation, || absolute value, P perimeter RIT 241-250: Vocabulary: polynomial, solution set, y-intercept Signs and Symbols: % percent RIT 231-240: Vocabulary: algebraic sentence, arithmetic progression, depreciate, is less than, regression equation, successive, time-and-a-half Signs and Symbols: -, f(x) the value of the function f at x, ≥ greater than or equal to, km kilometer/kilometre, ≤ less than or equal to, m meter/metre, • multiplication symbol (dot) RIT 221-230: Vocabulary: algebra, cord, expanded notation, net, reflexive, short, transitive Signs and Symbols: < less than, + positive number, repeating decimal overbar, Δ triangle RIT 211-220: Vocabulary: coin, triple Signs and Symbols: ( ) parentheses around an integer, $ dollar sign, ? next in sequence RIT 201-210: Vocabulary: expanded numeral, half-dollar, minimum, plus Signs and Symbols: ( ) ordered pair, a.m., °C degrees Celsius, °F degrees Fahrenheit, - negative number, p.m., + positive number, = is equal to RIT 191-200: Vocabulary: capacity, deposit, each, longer Signs and Symbols: ( ) order of operations, ÷ division, ft feet, x multiplication RIT 181-190: Vocabulary: changed, gave left, pennies Signs and Symbols: none RIT 171-180: Vocabulary: none Signs and Symbols: ¢ cent sign, lb pound RIT Below 171: Vocabulary: none Signs and Symbols: + addition, $ dollar sign, = is equal to, - subtraction, variable Math: The Real and Complex Number Systems: Ratios and Proportional Relationships ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 3 Math: The Real and Complex Number Systems: Ratios and Proportional Relationships Students: RIT Above 260: to ft/sec) RIT 251-260: -world problems involving capacity RIT 241-250: -world situation -step problems involving proportions ems involving simple percent discounts (e.g., finding sale price) n the customary system and converts to larger or smaller units t, given conversion ratios RIT 231-240: -world situation volving proportional reasoning (decimals only) -step problems involving proportions roblems involving percent increase and decrease ns (length) -step, length) roblems involving weight in the customary system and converts to larger or smaller units Fahrenheit, given conversion ratios o construct ratios and solve for a missing side RIT 221-230: Math: Algebra, Functions, Expressions & Equations: Solve Problems and Use Equations & Inequalities ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Algebra, Functions, Expressions & Equations: Use Functions to Model Relationships Students: RIT Above 260: RIT 251-260: -world function using a complex equation (e.g., variables on both sides, distributive, rational) and nonlinear functions (analysis) es the effects of parameter changes on functions RIT 241-250: -world function using a complex equation (e.g., variables on both sides, distributive, rational) - and/or y-intercept of an equation of a function RIT 231-240: -world functions using an equation o a rule RIT 221-230: sive terms (present term, next term) RIT 211-220: - using numbers ithmetic growing patterns - odd and even terms (such as 1,5,4,8,7,...) Math: Algebra, Functions, Expressions & Equations: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Algebra, Functions, Expressions & Equations: Vocabulary and Signs & Symbols RIT Above 260: Vocabulary: semi-annual Signs and Symbols: P principal, r rate, t time RIT 251-260: Vocabulary: coordinate plane, quadratic equation, undefined, wider, x-coordinate, y-coordinate Signs and Symbols: { } set notation, || absolute value, P perimeter RIT 241-250: Vocabulary: polynomial, solution set, y-intercept Signs and Symbols: % percent RIT 231-240: Vocabulary: algebraic sentence, arithmetic progression, depreciate, is less than, regression equation, successive, time-and-a-half Signs and Symbols: -, f(x) the value of the function f at x, ≥ greater than or equal to, km kilometer/kilometre, ≤ less than or equal to, m meter/metre, • multiplication symbol (dot) RIT 221-230: Vocabulary: algebra, cord, expanded notation, net, reflexive, short, transitive Signs and Symbols: < less than, + positive number, repeating decimal overbar, Δ triangle RIT 211-220: Vocabulary: coin, triple Signs and Symbols: ( ) parentheses around an integer, $ dollar sign, ? next in sequence RIT 201-210: Vocabulary: expanded numeral, half-dollar, minimum, plus Signs and Symbols: ( ) ordered pair, a.m., °C degrees Celsius, °F degrees Fahrenheit, - negative number, p.m., + positive number, = is equal to RIT 191-200: Vocabulary: capacity, deposit, each, longer Signs and Symbols: ( ) order of operations, ÷ division, ft feet, x multiplication RIT 181-190: Vocabulary: changed, gave left, pennies Signs and Symbols: none RIT 171-180: Vocabulary: none Signs and Symbols: ¢ cent sign, lb pound RIT Below 171: Vocabulary: none Signs and Symbols: + addition, $ dollar sign, = is equal to, - subtraction, variable Math: The Real and Complex Number Systems: Ratios and Proportional Relationships ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 3 Math: The Real and Complex Number Systems: Ratios and Proportional Relationships Students: RIT Above 260: conversions (e.g., mi/hr to ft/sec) RIT 251-260: -world problems involving capacity RIT 241-250: -world situation -step problems involving proportions ems involving simple percent discounts (e.g., finding sale price) n the customary system and converts to larger or smaller units t, given conversion ratios RIT 231-240: -world situation volving proportional reasoning (decimals only) -step problems involving proportions roblems involving percent increase and decrease ns (length) -step, length) roblems involving weight in the customary system and converts to larger or smaller units Fahrenheit, given conversion ratios o construct ratios and solve for a missing side RIT 221-230: Math: The Real and Complex Number Systems: Perform Operations ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 5 Math: The Real and Complex Number Systems: Perform Operations Students: RIT Above 260: RIT 251-260: RIT 241-250: e number RIT 231-240: -digit numbers d fractions ction by a whole number al positive and negative integers RIT 221-230: ors of whole numbers -patterns, decomposing, partial products) -digit numbers -digit number by a 2-digit number -digit numbers Math: The Real and Complex Number Systems: Extend and Use Properties ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 4 Math: The Real and Complex Number Systems: Extend and Use Properties Students: RIT Above 260: RIT 251-260: ifies rational expressions with exponents RIT 241-250: RIT 231-240: -thousandth sions containing powers (e.g., 3^2 x 2^3) (horizontal and vertical lines) RIT 221-230: billion ones) and orders decimals to the thousandths place (not same number of digits after decimal) mbers on a number line action, decimal, and/or percent (simple fraction) 0,000, and 100,000 -world problems involving multiplication and division of numbers Math: The Real and Complex Number System: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: The Real and Complex Number System: Vocabulary and Signs & Symbols Students: RIT 251-260: Vocabulary: none Signs and Symbols: i square root of -1 RIT 241-250: Vocabulary: feet per second, least common multiple Signs and Symbols: [ ] square brackets, LCM lowest common multiple, sec second, square root symbol RIT 231-240: Vocabulary: discount, equality, matrix, representative sample Signs and Symbols: || absolute value, hr hour, km kilometer/kilometre, oz ounce, / per, segment overbar RIT 221-230: Vocabulary: real number, ten million Signs and Symbols: ( ) parentheses around an integer, cm centimeter/centimetre, °C degrees Celsius, dm decimeter/decimetre, m meter/metre, mL milliliter/millilitre, mm millimeter/millimetre, + positive number, : ratio RIT 211-220: Vocabulary: common factor, decimal form, greatest common factor, lowest term, lowest terms, proof, reduce Signs and Symbols: ? a variable, kg kilogram, - negative sign, ≠ not equal to, yd yard RIT 201-210: Vocabulary: biggest, compatible numbers, coordinate, coordinate point, integer, larger, miles per gallon, mixed number, origin, twice Signs and Symbols: ¢ cent sign, ' feet, ft feet, in. inch, " inches, missing operation, mpg miles per gallon, - negative number, ∅ null or empty set RIT 191-200: Vocabulary: billion, composite number, decade, hundred million, miles per hour, prime number, quintillion, scale, standard numeral, trillion Signs and Symbols: °F degrees Fahrenheit degrees Fahrenheit, $ dollar sign, g gram, > greater than, lb pound, < less than, min minute, mph miles per hour, % percent, R remainder RIT 181-190: Vocabulary: closest, cup, digit, fourths, grid, millimeter, million, nearest, odd number, one, pint, row, smallest, symmetrical, tablespoon, teaspoon, ten thousand, thirds, unifix cubes Signs and Symbols: ( ) ordered pair, { } set notation, c cup, ÷ division, gal gallon, long division symbol, • point, pt pint, qt quart, tsp teaspoon RIT 171-180: Vocabulary: fact family, hundred, thousand Signs and Symbols: ( ) order of operations RIT Below 171: Vocabulary: none Signs and Symbols: + addition, = is equal to, × multiplication, − subtraction, variable Math: Geometry: Geometric Measurement and Dimension ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 4 Math: Geometry: Geometric Measurement and Dimension Students: RIT Above 260: -world problems involving surface area -60-90 triangles to solve problems RIT 251-260: logram, given a labeled diagram -world problems involving surface area the length of one side of a cube, given the volume (customary units) -world problems comparing volumes of figures reasoning to verify properties of parallel and perpendicular lines a triangle must be greater than the measure of the third side ombus RIT 241-250: rectangle and converts to larger or smaller units (customary) circle d figures le measures for complementary angles erpendicular lines Math: Geometry: Congruence, Similarity, Transformations & Trig ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Geometry: Congruence, Similarity, Transformations & Trig Students: RIT Above 260: RIT 251-260: roblems involving properties of similar triangles (e.g., using geometric mean, Triangle Proportionality Theorem) RIT 241-250: etermines a missing angle measure in corresponding, vertical, and alternate exterior/interior angles tric figure RIT 231-240: RIT 221-230: RIT 211-220: lane figures by the number of lines of symmetry RIT 201-210: RIT 191-200: RIT 181-190: RIT 171-180: Math: Statistics and Probability: Interpreting Categorical and Quantitative Data ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 2 Math: Statistics and Probability: Interpreting Categorical and Quantitative Data Students: RIT Above 260: -and-whisker plots RIT 251-260: of data RIT 241-250: -and-whisker plots RIT 231-240: e intervals and/or scale for a bar graph -and-whisker plots of a complex set of data (e.g., fractions, integers, many data points) points) -and-whisker plot) RIT 221-230: a RIT 211-220: problems involving mean RIT 201-210: ta - bar graphs Math: Statistics and Probability: Using Sampling and Probability to Make Decisions ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Statistics and Probability: Using Sampling and Probability to Make Decisions Students: RIT Above 260: RIT 251-260: RIT 241-250: RIT 231-240: - must determine size of sample space RIT 221-230: ituation - must determine size of sample space previous results to predict future events RIT 211-220: -world situation - number of possible outcomes given - must determine size of sample space - must determine size of sample space he possible outcomes for a simple probability experiment using spinners - tally sheet RIT 201-210: ble - must determine size of sample space RIT 191-200: RIT 181-190: Math: Statistics and Probability: Vocabulary and Signs & Symbols ©2011 NWEA. DesCartes: A Continuum of Learning is the exclusive copyrighted property of NWEA. www.fortheteachers.org | Page 1 of 1 Math: Statistics and Probability: Vocabulary and Signs & Symbols Students: RIT 251-260: Vocabulary: none Signs and Symbols: + addition RIT 241-250: Vocabulary: correlation, hyperbolic, mileage table Signs and Symbols: ° degrees, E east, x multiplication, NE northeast, NNE north northeast, NW northwest, S south, W west RIT 231-240: Vocabulary: average salary, box-and-whisker plot, data point, interquartile, middle, outlier, percentile, quartile, sample, upper quartile Signs and Symbols: ( ) ordered pair, $ dollar sign, • outlier RIT 221-230: Vocabulary: frequency table, median, survey Signs and Symbols: oz ounce, P( ) probability, % percent RIT 211-220: Vocabulary: combinations, fastest, fitted line, line of best fit, line plot, mean, number cube, outcome, positive linear relationship, scatter plot, tails Signs and Symbols: { } set notation, d distance, mph miles per hour, t time RIT 201-210: Vocabulary: bar graph, below, chance, less likely, probability, random Signs and Symbols: °F Fahrenheit, ft feet, lb pound, min minute RIT 191-200: Vocabulary: none Signs and Symbols: | tally mark RIT 181-190: Vocabulary: lowest, most likely, most often Signs and Symbols: none RIT 171-180: Vocabulary: fewer, taller Signs and Symbols: cm centimeter/centimetre RIT Below 171: Vocabulary: dollar, shortest Signs and Symbols: $ dollar sign, = is equal to