CTY MATHEMATICS SEQUENCE — MASTERY CHECKLIST ARITHMETIC

Student’s Name: _________________________ Instructor’s Name: _________________________ Site: ________________ Session: ________________ 1. Operations on Whole Numbers give the meaning of digits in standard notation convert from standard notation to expanded

notation convert between standard notation and word

names add without regrouping add with regrouping illustrate the Associative Property of Addition illustrate the Commutative Property of Addition use addition to find perimeter convert between addition sentences and

subtraction sentences subtract without regrouping subtract with regrouping round to the nearest ten, hundred, or thousand estimate sums and differences by rounding compare (order) two numbers using > or < multiply two single-digit numbers multiply two numbers of one or two digits multiply two numbers of one, two, or three digits illustrate the Distributive Law illustrate the Commutative Property of

Multiplication illustrate the Associative Property of

Multiplication estimate products by rounding use multiplication to find area convert between division sentences and

multiplication sentences divide without a remainder divide with a remainder estimate quotients by rounding translate and solve simple problems involving

addition, subtraction, multiplication, or division translate and solve problems involving more than

one basic operation write repeated products in exponential notation evaluate expressions involving exponential

notation use the proper order of operations to simplify

expressions involving the basic operations, parentheses, and exponents

find the average of a set of numbers

2. Fraction Notation: Multiplication and Division

determine whether one number is a factor of another

find multiples and assess divisibility of whole numbers

decide if a number is prime, composite, or neither (numbers 1 – 100)

find the prime factorization of a composite number

use rules for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10

identify the numerator and denominator of a fraction

use fractional notation to represent parts of objects or sets

use properties of 1 and 0 to simplify fractions multiply a whole number and a fraction multiply two fractions translate and solve problems involving

multiplication of fractions convert a fraction to an equivalent fraction with a

different denominator reduce fractions to lowest terms use cross products to determine if two fractions

are equal multiply and simplify using fraction notation find the reciprocal of a fraction or natural number divide and simplify using fraction notation divide a fraction by another fraction or a natural

number translate and solve problems that require division

of fractions 3. Fraction Notation and Mixed Numerals find the least common multiple of two or more

numbers add fractions with like denominators add fractions with different denominators subtract fractions with like denominators subtract fractions with different denominators compare (order) two fractions with >, <, or =

translate and solve problems involving addition or subtraction of fractions

convert between mixed numerals and fraction notation

write a quotient as a mixed numeral add using mixed numerals subtract using mixed numerals multiply using mixed numerals divide using mixed numerals translate and solve problems involving basic

operations with mixed numerals use the proper order of operations to simplify

expressions containing fractions and mixed numerals

estimate with fraction and mixed-numeral notation

4. Decimal Notation convert between word names and decimal

notation convert between fraction notation and decimal

notation compare (order) two decimals with >, <, or = round to the nearest thousandth, hundredth,

tenth, one, ten, hundred, or thousand add using decimal notation subtract using decimal notation balance a simple checkbook multiply using decimal notation convert between large number names and

decimal notation convert between dollars and cents divide using decimal notation translate and solve problems involving basic

operations with decimals use the proper order of operations to simplify

expressions containing decimal notation round numbers named by repeating decimals in

problem solving perform basic operations with a combination of

fractions and decimals estimate sums, differences, products, and

quotients involving decimals

5. Ratio and Proportion find fraction notation for ratios simplify ratios give the ratio of two different measures as a rate find unit prices and use them to compare

purchases determine whether two pairs of numbers are

proportional solve simple proportions by converting the ratios

to common denominators solve simple proportions by finding cross

products and dividing translate and solve problems involving

proportions find lengths of sides of similar shapes using

proportions 6. Percent Notation write three kinds of notation for a percent convert between percent notation and decimal

notation convert between percent notation and fraction

notation translate and solve problems involving percents translate percent problems to proportions and

solve solve applied problems involving percent of

increase or decrease, sales tax, commission, or discount

solve applied problems involving simple interest or compound interest

solve applied problems involving interest rates on credit cards and loans

COMMENTS OR ADDITIONAL TOPICS COVERED: _______________________________________ _______________________________________ _______________________________________ _______________________________________ _______________________________________ _______________________________________ _______________________________________ _______________________________________