Northwest Evaluation Association Learning Continuum Release 1.0

Number Sense and Numeration - includes solving problems with ratios, proportions, fraction-decimal relationships, exponents, number theory, place value, and the relationship between numbers.

Skills and Concepts

RIT scores between 151 and 160

Whole Numbers
· Match sets of objects to numerals 0-40 to demonstrate an understanding of one-to-one correspondence
· Identify and count numbers 0-20
· Identify and order ordinal numbers (first to tenth)
Fractions
· Identify equal parts of a region (halves, thirds, fourths)
· Represent fractions by using models and drawings
Ordering, Equalities and Inequalities
· Identify equal parts of a region (halves, thirds, fourths)
New Vocabulary in this range: now many
New Signs and Symbols: - for answer

RIT scores between 161 and 170

Whole Numbers
· Identify missing numbers in a series through 100
· Identify the number that is "one more than", "one less than", "10 more than", and "10 less than" a given number
· Count objects that are grouped into tens and ones
Fractions
· Identify one-half of an object from a picture
Place Value
· Identify and understand the place value and value of each digit in numbers through the hundreds
Ordering, Equalities and Inequalities
· Order numbers 0-100
New Vocabulary in this Range: ones, tens, hundreds, thousands, numeral, ordinal numbers through eleventh, counting
New Signs and Symbols: none

RIT scores between 171 and 180

Whole Numbers
· Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other
· Count and write by 10's to 100
· Compare, group, and order whole numbers to 100 by using the symbols for "less than", equal to", and "greater than" (<, =, >)
· Distinguish between odd and even numbers
· Count by 2's to 20
Fractions
· Identify one-half of an object or set
· Identify fractional parts of a region or group
Place Value, Expanded and Standard Notation
· Write numerals in expanded form through the thousands place
Ordering, Equalities and Inequalities
· Use > or < symbols to compare two numbers
New Vocabulary in this Range: even numbers, same as, fewest
New Signs and Symbols: < and > signs, = sign

RIT Scores between 181 and 190

Whole Numbers
· Identify one more and one fewer
· Count and write by 2's and 3's
· Complete a number pattern
· Round 2- and 3-digit numbers to the nearest hundred and tens
· Identify the value of Roman Numerals using I, V, and X
· Apply rules of divisibility by 5
· Identify the greatest common factor of two whole numbers each of which is less than 100
· List some common multiples of two whole numbers
Fractions
· Separate regions into sub regions that are equivalent (halves, thirds, fourths)
· Change a fractional numeral to its simplest form (lowest terms)
Decimals
· Identify the greater or lesser of two decimals
Place Value, Expanded and Standard Notation
· Match number words to numerals to the ten thousands place
· Identify and understand the place value and value of each digit in numbers through the hundred thousands
· Add whole numbers using place value
· Identify and understand place value for decimals (tenths, hundredths, and thousandths)
Ordering, Equalities and Inequalities
· Order sets of objects 0-20
· Identify the greater or lesser of two numerals
· Order numerals through 999
· Identify the numeral that comes before, between, or after any given numeral through 999
· Compare and order fractions*
· Compare and order decimals to the hundredths place
New Vocabulary in this Range: first, second, third, etc., odd, one-fourth, one-half, reduce, fractions, order, divisible, round, smallest, largest, lowest terms, greatest common factor, least common multiple, closest, units, set, digit, greater than, greatest
New Signs and Symbols: none

RIT Scores between 191 and 200

Whole Numbers
· Order numerals through 9999
· Count and convert to dozens
· Round 4- and 5-digit numbers to the nearest hundred thousand, thousand, hundred or ten
· Identify numbers as prime or composite
· Apply rules of divisibility by 2's
· Complete a factor tree for a number (prime factorization)*
· Understand and demonstrate that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3)
· Identify the least common multiple of two whole numbers*
Fractions, Ratio and Proportion
· Write equivalent fractions using pictorial representation
· Find equivalent fractions using multiples and factors*
· Write mixed numbers as improper fractions and improper fractions as mixed numbers*
· Identify the least (lowest) common denominator of two fractions
· Express a fraction as a decimal and vice versa
· Solve proportions using the cross product method*
Decimals
· Write a decimal for a shaded region (to tenths place)
· Identify and understand place value for decimals (tenths, hundredths, and thousandths)
Percents
· Model percents using a 10 x 10 grid
· Write a decimal or fraction as a percent and vice versa
Place Value, Expanded and Standard Notation
· Identify the number and written word for ordinal numbers
· Write numerals in expanded form through the hundred thousands
· Match word names to numerals through billions
· Identify place value using model to count
· Add whole numbers using place value
Ordering, Equalities and Inequalities
· Identify and understand the greater or lesser of two numerals (use the symbols < and > through 999,999)
· Compare and order fractions and mixed numbers
Exponents
· Exponential representation of 3 multiplied numbers (2x2x2)
New Vocabulary in this Range: thirds, fourths, rounded, thousands, exponential form, mixed number, improper fraction, lowest common denominator, percent, expanded form, prime, factor, proportion
New Signs and Symbols: use of dot as a multiplication symbol

RIT scores between 201 and 210

Whole Numbers
· Round to the nearest millions and billions
· Apply rules of divisibility
· Identify the greatest common factor of two whole numbers each of which is less than 100
· Write the Roman numeral equivalent of Arabic numbers 1-2000 and vice versa
Fractions, Ratio and Proportion
· Change a fractional numeral to its simplest form (lowest terms)
· Write the missing number in two equivalent ratios
· Use a number line to identify a fractional point
Decimals
· Write a decimal for a shaded region (hundredths)
· Write a terminating decimal as a fraction or mixed number
· Round decimals to nearest whole number, tenth, hundredth, or thousandth
· Multiply a decimal by multiples of 10, 100, or 1000
Percents
· Find a percent of a number
· Write a decimal or fraction as a percent or vice versa
Place Value, Expanded and Standard Notation
· Understand and identify the place value and value of each digit in numerals through the billions
· Write the word name for a decimal and vice versa
· Write numerals in expanded form through the hundred billions
Ordering, Equalities and Inequalities
· Order numbers from least to greatest and greatest to least
· Compare and order numbers through the billions
· Order decimals and fractions to the hundred thousandths
· Identify the greater or lesser of 2 integers
· Ordering integers that include fractions and wholes
· Translate verbal statements into equations (all four operations; several operations)
· Ordering exponential values
Exponents and Scientific Notation
· Write whole number in exponential form and compute the power of a number
New Vocabulary in this Range: missing number, pentagon, simplest fraction, biggest, hundredths, one less, decimal numeral, squared, divisible, inequality, expanded numeral, equivalent, point, standard numeral, sequence
New Signs and Symbols: + used as positive symbol, - used as negative symbol

RIT scores between 211 and 220

Whole Numbers
· Understand and use rules of divisibility
· Identify the greatest common factor of two whole numbers: list the factors or prime factorization
· Identify the greatest common factor and least common multiple of two whole numbers
Fractions, Ratio and Proportion
· Write improper fractions from picture presentations
· Change a fractional numeral to its simplest form (lowest terms)
Decimals
· Round monetary amounts to the nearest single coin or bill which could be used to pay for a purchase up to and including $20.00
· Write the decimal equivalent of a fraction and label as repeating or terminating
Percents
· Express a fraction as a decimal and as a percent
Ordering, Equalities and Inequalities
· Compare and order fractions with the same denominator and with different denominators
· Order decimals to thousandths; identify the greater or lesser of two decimals to thousandths
Exponents and Scientific Notation
· Order of "powers"
· Write a whole number or a decimal in scientific notation
· Write a number expressed in scientific notation in standard form
New Vocabulary in this Range: counting number, portion, fractional part, lowest terms, reciprocal, order, scientific notation, prime factorization, not prime, factor tree, common multiples, greatest common denominator, equivalent, nearest dollar
New Signs and Symbols: square root symbol

RIT scores between 221 and 230

Fractions, Ratio and Proportion
· Model and write numerical fractions
· Understand the concept of ratio using concrete and pictorial models
· Identify the least common denominator for 3 or more fractions: list the multiples or prime factorization
· Determine if a pair of ratios is equal or not equal using the equivalent fractions method
· Write the missing number in 2 equivalent ratios
· Solve proportions using the cross product method
Decimals
· Identify and order decimal and fractional coordinates on a number line
Percents
· Write a ratio (fraction) as a percent and a percent as a ratio (fraction): denominators of 100
Integers
· Understand the meaning of integers
Place Value, Expanded and Standard Notation
· Match word names to numerals to the hundred thousands in decimals
Ordering, Equalities and Inequalities
· Order a set of integers from least to greatest
Exponents and Scientific Notation
· Identify and use powers of 10
Square Roots
· Evaluate expressions using square roots
New Vocabulary in this Range: always true, proportion, multiply, between, tens digit, standard numeral, ratio
New Signs and Symbols: none

RIT scores between 231 and 240

Fractions, Ratio and Proportion
· Define ratio
· Write ratios in a variety of ways
Decimals
· Write a decimal or mixed decimal for a fraction
· Write a whole number or a decimal in scientific notation (negative exponents)
Place Value, Expanded and Standard Notation
· Write numerals in expanded form through the billions
· Understand and identify place value and value of each digit in numerals through the hundred billions
Exponents and Scientific Notation
· Evaluate expressions using the order of operations that include exponents
· Find products by applying rules for exponents
Square Roots
· Identify perfect squares in a list of numbers and calculate the positive square root of a perfect square
New Vocabulary in this Range: none
New Signs and Symbols: none

RIT scores between 241 and 250

Square Roots
· Evaluate expressions using square roots
New Vocabulary in this Range: Base ten, prime factors
New Signs and Symbols: none

RIT scores between 251 and 260

Exponents and Scientific Notation
· Evaluate powers with a negative exponent
New Vocabulary in this Range: none
New Signs and Symbols: none

RIT scores between 261 and 270

Percents
· Change a percent to a fraction (including mixed numbers)
Square Roots
· Understand properties of square roots
Irrational Numbers
· Define irrational numbers
New Vocabulary in this Range: infinite non-repeating decimal
New Signs and Symbols: none

RIT scores between 271 and 280

Exponents and Scientific Notation
· Evaluate power of zero
· Identify the lowest common multiple of numbers in their prime factored state
Set Notation
· Use inequalities to represent set notation
New Vocabulary in this Range: none
New Signs and Symbols: none