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• Number Sense
• Algebra and Functions
• Measurement and Geometry
• Statistics, Data Analysis and Probability
• Mathematical Reasoning

Number Sense

SCOPE AND SEQUENCE
NUMBER SENSE X = TEACH   /    M = REINFORCE & MAINTAIN
NUMBER AND QUANTITATIVE REASONING	K	1	2	3	4	5	6
WHOLE NUMBERS
Meaning of numbers	X	X	X	X	X	X	X
Read and write numbers
to 30	X	M
to 100		X	X	M	M
to 1,000				X	M	M	M
in the ten thousands				X	X	M	M
in the millions					X	X	M
in the billions						X	M
Count	X	X	X	X
Place value
tens and ones	X	X	X
to 100		X	X	M	M
to 1,000				X	M
to 10,000				X	M	M	M
in the millions					X	X	M
in the billions						X	M
Expanded form	X	X	X	X	X	X	M
Compare and order
to 10 (with objects)	X	M
to 100 (using symbols)		X	X	M	M	M	M
to 1,000 (using symbols)		X	X	X	M	M	M
to 10,000 (using symbols)				X	X	X	M
in the millions (using symbols)					X	X	M
in the billions (using symbols)						X	M
Make reasonable estimates	X	X	X	X	X	X	X
Rounding
to the nearest ten, hundred, or thousand			X	X	X	X	X
to nearest ten thousant through nearest million					X	X	X
Even/odd		X	X	X	M	M	M
Ordinal numbers	X	X	X
Multiples					X	X	X
Divisibility						X	X
Prime and composite					X	X	X
Least common multiple						X	X
Common factors						X	X
Greatest common factor						X	X
Powers and exponents						X	X
Factor whole numbers					X	X	X
Prime factors						X	X
Prime factorization						X	X
Square numbers and square roots.						X	X
MONEY
Identify coins	X	X	X	X
Value of coins	X	X	X	X	M
count and trade amounts		X	X	X
make change			X	X	M
Value of collection of coins and bills			X	X	M
count and trade amounts			X	X	M	M
make change				X	M	M	M
Compare amounts and prices	X	X	X	X	X	M	M
Equivalent amounts		X	X	X	X	M	M
Use decimal notation and/or dollar and cents symbols		X	X	X	X	X	M
DECIMALS
Meaning of decimals				X	X	X	M
Read and write decimals
to tenths					X	X	M
to hundredths					X	X	M
to thousandths					X	X	M
to ten-thousandths						X	M
Locate on number line					X	X	M
Relate to fractions					X	X	X
Decimal place value
to hundredths					X	X	M
to thousandths					X	X	M
to ten-thousandths						X	M
Compare and order
to hundredths					X	X	X
to thousandths						X	X
to ten-thousandths						X	X
Equivalent decimals					X	X	X
Relate to percent					X	X	X
Decimals greater than 1					X	X	M
Round					X	X	X
Terminating/repeating decimals						X	X
Nonrepeating decimals							X
Scientific notation							X
FRACTIONS
Meaning of fractions	X	X	X	X	X	M	M
Part of a whole	X	X	X	X	X	M	M
Part of a group		X	X	X	X	M	M
Read and write fractions		X	X	X	X	M	M
Locate on a number line				X	X	X	m
Relate to decimals				X	X	X	X
Compare, unit fractions			X	X	M	M	M
Compare, like denominators			X	X	X	X	X
Compare, unlike denominators					X	X	X
Fractions equal to 1 or greater			X	X	X	X	X
Mixed numbers				X	X	X	X
locate on number line				X	X	X	M
Equivalent fractions			X	X	X	X	X
Order, like denominators				X	X	X	X
Order, unlike denominators					X	X	X
Simplest form				X	X	X	X
Least common denominator						X	X
Relate to percent							X
Reciprocals						X	X
Rational numbers							X
INTEGERS
Opposites
Negative numbers
Meaning of integers
Integers on the number line
Absolute value
Compare and order
RATIONAL NUMBERS
Meaning of rational numbers							X
Compare and order							X
Scientific notation						X	X
NUMBER SENSE
Meaning of whole numbers	X	X	X	X	X	X	M
Number relationships	X	X	X	X	X	X	X
Meaning of fractions		X	X	X	X	X	M
Meaning of decimals				X	X	X	M
Equivalent forms of numbers		X	X	X	X	X	X
Effects of operations						X	X
Meaning of percent					X	X	X
Meaning of integers							X
Meaning of rational numbers							X
MENTAL MATH
Skip-counting		X	X	X	M	M
Use properties		X	X	X	X	X	X
Patterns, multiples, and powers of 10				X	X	X	X
Compatible numbers					X	X	X
ESTIMATE QUANTITIES
Benchmarks	X	X	X	X	X	X	M
Rounding			X	X	X	X	X
OPERATION AND QUANTITATIVE REASONING
WHOLE NUMBERS
Addition
Meaning of addition	X	X	X	M	M	M	M
Concrete objects, numbers less than 10	X	X
Addition facts (sums to 10)		X	X	M
Addition facts (sums to 20)		X	X	M	M
Basic-fact strategies
counting on		X	X	M
doubles and doubles plus one		X	X	M
make a ten		X	X	M
Column addition			X	X	M	M	M
Fact families/inverse relationship between + and -		X	X	M	M	M	M
Properties		X	X	X	X	X	M
3 or more addends		X	X	X	X	M	M
2-digit numbers, with/without regrouping		X	X	X	M	M	M
using mental math			X	M	M	M	M
3-digit numbers				X	X	M	M
4-digit numbers				X	X	X	M
Greater numbers					X	X	M
Estimate sums			X	X	X	X	X
Subtraction
Meaning of subtraction	X	X	X	M	M	M	M
Concrete objects, numbers less than 10	X	X
Subtraction facts (differences from 10)		X	X	M
Subtraction facts (differences from 20)		X	X	M	M
Basic-fact strategies
counting back		X	X	M
doubles and doubles minus one			X	M
Missing addends			X	X	M	M	M
2-digit numbers, with/without regrouping		X	X	X	M	M	M
using mental math			X	M	M	M	M
3-digit numbers				X	M	M	M
4 digit numbers				X	X	X	M
Greater numbers					X	X	M
With zeros		X	X	X	X	X	M
Checking subtraction			X	X	X	M	M
Estimate differences			X	X	X	X	X
Multiplication
Meaning of Multiplication			X	X	X	M	M
Multiplication facts for 2s, 5s, and 10s				X	X	M	M
Multiplication facts to 10 X 10				X	X	M	M
Multiplication facts to 12 X 12					X	M	M
Basic-fact strategies
skip-counting			X	X	M	M
break-apart numbers				X	X	X
Doubling				X	X
Order Property				X	M	M
Fact families/inverse relationship between x and ÷				X	M	M	M
Estimate products				X	X	X	X
Multiples of 10				X	X	X	M
Multidigit by 1-digit factor				X	X	X	M
Multidigit by 2-digit factor					X	X	M
Multidigit by 3-digit factor						X	M
Multidigit by 4-digit factor						X	M
Exponents							X
Properties					X	X	M
Division
Meaning of division		X	X	X	X	X	M
Model and compute quotient				X	X	X	X
Division facts for 2s, 3s, 4s, 5s, 6s, 7s, 8s, 9s, 10s				X	X	X	X
Division facts for 11s and 12s				X	X	M	M
Missing factors				X	X	X	M
Basic-fact strategies
inverse operations				X	X	X	M
Fact families				X	X	M
Remainders				X	X	X	M
Interpret remainders				X	X	X	X
0 and 1 in division				X	M	M	M
Multidigit by 1-digit divisor, nor remainder				X	X	X	M
Multidigit by 1-digit divisor, with remainder				X	X	X	M
Multidigit by 2-digit divisor					X	X	M
Zeros in the quotient				X	X	X	M
Estimate quotients				X	X	X	M
Divisibility							X
Determine unit cost				X	X	X	X
MONEY
Add	X	X	X	X	X	X	M
Subtract	X	X	X	X	X	X	M
Multiply				X	X	X	M
Divide				X	X	X	M
Estimate sums, differences, products, quotients						X	M
Differences to more than three decimal places							X
Estimate differences					X	X	X
Multiplication
Meaning of multiplication						X	M
Decimal by a whole number						X	X
Decimal by a decimal						X	X
By powers of 10						X	X
Place the decimal point						X	X
Place zeros in the product						X	X
Estimate products						X	X
Round products							X
Division
Meaning of division					X	X	X
Decimal by a whole number						X	X
Decimal by a decimal						X	X
By powers of 10						X	X
Place the decimal point						X	X
Place zeros in the quotient						X	X
Estimate quotients (compatible numbers)						X	X
Round quotients							X
Repeating/terminating quotients.							X
FRACTIONS
Addition
Meaning of addition				X	X	X	M
Like denominators				X	X	X	M
Unlike denominators					X	X	X
Estimate sums						X	X
Mixed numbers						X	X
Subtraction
Meaning of subtraction				X	X	X	M
Like denominators				X	X	X	M
Unlike denominators					X	X	X
Estimate differences						X	X
Mixed numbers						X	X
Mixed numbers with renaming						X	X
Multiplication
Meaning of multiplication							X
Fraction by a whole number							X
Fraction by a fraction							X
Fraction and mixed number							X
Estimate products							X
Mixed numbers							X
Division
Meaning of division							X
Fraction by a whole number							X
Whole number by fraction							X
Fraction by a fraction							X
Estimate quotients							X
Mixed numbers							X
INTEGERS
Meaning of addition and subtraction
Use a number line to compute
Add
Subtract
Multiply
Divide
ESTIMATE ANSWERS
Rounding			X	X	X	X	X
Benchmarks			X	X	X	X	M
Compatible numbers					X	X	X

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