Download Math: Operations and Algebraic Thinking

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