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The Algebra Buster
The Algebra Buster


May 24th









May 24th

Number Sense and Numeration

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
· Compare and order numbers and sets of objects 0-10

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

Money
· Identify value of a penny, nickel, dime, and quarter

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
· Distinguish between odd and even numbers
· Count by 2’s to 20
· Round 2- and 3-digit numbers to the nearest hundred and tens

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
Money
· Identify value of a one dollar bill
· Combine and identify the value of a collection of coins and bills up to and including $1.00

RIT Scores between 181 and 190
Whole Numbers
· Identify one more and one fewer
· Count and write by 2’s and 3’s
· Round 2- and 3-digit numbers to the nearest hundred and tens
· Identify the value of Roman Numerals using I, V, and X

Factorization/Divisibility
· 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)
· Read, shade, and write fractional parts of a group
· 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

Money
· Identify the coins: pennies, nickels, and dimes
· Identify the value of a penny, nickel, dime, quarter, and one dollar bill
· Combine and identify the value of a collection of coins and bills up to and including $1.00
· Combine and identify equivalent values of coins and bills up to and including $1.00
· Make change to $1.00 by “counting on” or subtracting

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

Factorization/Divisibility
· 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
· Write improper fractions from picture presentations
· 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)
· Round decimals to the nearest whole number
· Identify and understand place value for decimals (tenths, hundredths, and thousandths)

Money
· Combine and identify the value of a collection of coins and bills up to and including $100.00

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

Ordering, Equalities and Inequalities
· Compare and order fractions and mixed numbers

Exponents
· Exponential representation of 3 multiplied numbers (2x2x2)

RIT scores between 201 and 210
Whole Numbers
· Round to the nearest millions and billions
· Write the Roman numeral equivalent of Arabic numbers 1-2000 and vice versa

Factorization/Divisibility
· Apply rules of divisibility
· Identify the greatest common factor of two whole numbers each of which is less than 100
· List the prime and composite numbers less than 50 in a word problem

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
· Write a decimal or fraction as a percent or vice versa

Integers
· Order integers on a number line

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
· Ordering exponential values

Exponents and Scientific Notation
· Write whole number in exponential form and compute the power of a number

RIT scores between 211 and 220
Factorization/Divisibility
· 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)
· Compare and order fractions and mixed numbers
· Identify and order decimal and fractional coordinates on a number line

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
· Round decimals to nearest whole number, tenth, or hundredth
· Write a terminating decimal as a fraction or mixed number
· Round decimals to nearest whole number, tenth, hundredth, or thousandth
· Identify and order decimal and fractional coordinates on a number line

Percents
· Express a fraction as a decimal and as a percent

Integers
· Identify the greater or lesser of 2 integers
· Order integers on a number line

Place Value, Expanded and Standard Notation
· Understand and identify the place value and value of each digit in numerals through the billions

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

RIT scores between 221 and 230
Fractions, Ratio and Proportion
· Model and write numerical fractions
· Change a fractional numeral to its simplest form (lowest terms)
· Understand the concept of ratio using concrete and pictorial models
· 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

Factorization/Divisibility
· Identify the least common denominator for 3 or more fractions: list the multiples or prime
factorization

Decimals
· Identify and order decimal and fractional coordinates on a number line
· Relate fractions to decimals
· Write a decimal or mixed decimal for a fraction (2/3=0.66)

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
· Place numbers in correct order on a number line

Exponents and Scientific Notation
· Identify and use powers of 10

Square Roots
· Evaluate expressions using square roots

Absolute Value
· Definition and application of absolute value

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

Square Roots
· Identify perfect squares in a list of numbers and calculate the positive square root of a perfect
square

RIT scores between 241 and 250
Integers
· Understand the meaning of integers

Square Roots
· Evaluate expressions using square roots

RIT scores between 251 and 260
Exponents and Scientific Notation
· Evaluate powers with a negative exponent

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

RIT scores between 271 and 280
Exponents and Scientific Notation
· Evaluate power of zero

Factorization/Divisibility
· Identify the lowest common multiple of numbers in their prime factored state

Set Notation
· Use inequalities to represent set notation
 

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