# Real and Complex Number Systems

RIT Ranges:

<160 161-178 179-191 192-203 204-212 213-220

221-225 226-230 231-234 >235

# <160

- Compare groups through 10
- Count from any number
- Count to 100
- How many objects 1
- How many objects 2
- Teen numbers 1
- Addition word problems within 10
- Making five
- Making ten
- Making ten 2
- Subtraction word problems within 10

# 161-178

- Comparing two-digit numbers 1
- Groups of tens
- Halves and fourths
- Numbers to 120
- Teen numbers 2
- Understanding 2-digit numbers
- Adding three numbers
- Addition within 20
- Addition and subtraction within 10
- Addition and subtraction word problems within 20: Level 1
- Addition and subtraction word problems within 20: Level 2
- Addition and subtraction word problems within 20: Level 3
- Addition and subtraction word problems within 20: Level 4
- Add within 100: Level 1
- Add within 100: Level 2
- Meaning of equal sign 1
- Subtract tens

# 179-191

- Comparing whole numbers
- Comparing numbers within 1000
- Counting money (U.S.)
- Equal parts of circles and rectangles
- Hundreds, tens, and ones
- Skip-counting by 100s
- Skip-counting by 10s
- Skip-counting by 5s
- Writing numbers to 1000
- Addition and subtraction word problems within 100: Level 1
- Addition and subtraction word problems within 100: Level 2
- Addition and subtraction word problems within 100: Level 3
- Addition and subtraction word problems within 100: Level 4
- Add within 1000: Level 1
- Add within 1000: Level 2
- Length word problems
- Repeated addition
- Subtraction within 20
- Subtract within 1000: Level 1
- Subtract within 1000: Level 2

# 192-203

- Addition within 100
- Comparing fractions 1
- Comparing fractions with the same denominator
- Comparing fractions with the same numerator
- Cutting shapes into equal parts
- Equivalent fraction models
- Finding 1 on the number line
- Fractions on the number line 1
- Fractions on the number line 2
- Fractions greater than one
- Meaning of division
- Meaning of multiplication
- Naming the whole
- Properties of multiplication 1
- Properties of multiplication 2
- Identifying numerators and denominators
- Recognizing fractions
- Rounding to the nearest ten or hundred
- Subtraction within 100
- Addition within 100
- Addition within 1000
- Basic division
- 1-digit division
- Mass word problems
- Multiplying 1-digit numbers
- Multiply by tens
- Multiply by tens word problems
- Number line 1
- Math patterns 1
- Identifying numerators and denominators
- Relate division to multiplication
- Subtraction within 100
- Subtraction within 1000
- Telling time word problems
- Two-step word problems with addition, subtraction, multiplication, and division
- Comparing fractions 1
- Comparing fractions with the same denominator Comparing fractions with the same numerator Equivalent fraction models

# 204-212

- Adding fractions with 10 and 100 as denominators
- Adding and subtracting mixed numbers 0.5
- Comparing decimals 1
- Comparing fractions 2
- Comparing improper fractions and mixed numbers
- Comparing with multiplication
- Composite numbers
- Converting decimals to fractions 1
- Fractions as division by 10 or 100
- Decimals on the number line 1
- Decimals on the number line 2
- Equivalent fractions
- Fractions as division by a multiple of 10
- Fractions cut and copy 1
- Ordering fractions
- Place value
- Prime numbers
- Rounding whole numbers
- Understanding place value
- Understanding whole number representations
- Unit sense
- Visualizing equivalent fractions
- Adding fractions with 10 and 100 as denominators
- Adding and subtracting mixed numbers 0.5
- Adding and subtracting fractions with like denominators word problems
- Addition within 1000
- Multiplication and division word problems
- Comparing with multiplication
- Converting decimals to fractions 1
- Fractions as division by 10 or 100
- Decomposing fractions
- Divisibility 0.5
- Divisibility intuition
- Multi-digit division without remainders
- Division with remainders
- Fraction word problems 1
- Fractions as division by a multiple of 10
- Measurement word problems with metric units
- Measurement word problems with US customary units
- Measuring and converting money word problems
- Measuring time word problems
- Multiplication without carrying
- Multiplication with carrying
- Multiplying 2 digits by 2 digits
- Multiplying fractions by integers
- Multiplying 2 digits by 2 digits with area models
- Multiplying 4 digits by 1 digit with visual models
- Multiplying fractions and whole numbers word problems
- Multi-step word problems with whole numbers
- Subtracting fractions with common denominators
- Subtraction within 1000
- Understanding multiplying fractions and whole numbers
- Understanding place value
- Multiplication and division word problems
- Comparing fractions 2
- Comparing improper fractions and mixed numbers
- Measurement units
- Measurement word problems with metric units
- Measurement word problems with US customary units
- Measuring and converting money word problems
- Measuring time word problems
- Multi-step word problems with whole numbers
- Ordering fractions
- Unit sense

# 213-220

- Comparing decimals 2
- Comparing decimal place value
- Coordinate plane word problems in the first quadrant
- Graphing points
- Ordering decimals
- Patterns in zeros
- Regrouping decimals
- Regrouping whole numbers
- Rounding numbers
- Money and decimal place value intuition
- Understanding moving the decimal
- Understanding fractions as division
- Writing and interpreting decimals
- Adding decimals 1
- Adding decimals 0.5
- Adding fractions with unlike denominators
- Adding and subtracting mixed numbers 1
- Adding and subtracting fractions with unlike denominators word problems
- Dividing completely
- Dividing decimals 1
- Dividing decimals 2
- Dividing decimals 3
- Dividing whole numbers by fractions
- Dividing fractions by whole numbers
- Division by 2 digits
- Division with fractions and whole numbers word problems
- Expressions with parentheses
- Multi-digit multiplication
- Multiplying decimals 1
- Multiplying decimals 2
- Multiplying fractions by fractions word problems
- Patterns in zeros
- Regrouping decimals
- Regrouping whole numbers
- Subtracting decimals
- Subtracting decimals 0.5
- Subtracting fractions with unlike denominators
- Understanding moving the decimal
- Understanding fractions as division
- Adding and subtracting fractions with unlike denominators word problems Converting measurements word problems
- Converting units
- Division by 2 digits
- Division with fractions and whole numbers word problems Multiplying fractions by fractions word problems

# 221-225

- Finding absolute values
- Absolute value word problems
- Comparing absolute values
- Coordinate plane word problems in all four quadrants
- Decimals on the number line 3
- Fractions on the number line 3
- Graphing points and naming quadrants
- Points on the coordinate plane
- Negative number word problems
- Negative numbers on the number line
- Number line 3
- Number opposites
- Ordering negative numbers
- Reflecting points
- Comparing positive and negative numbers on the number line
- Writing numerical inequalities
- Adding and subtracting decimals word problems
- Adding decimals 2
- Dividing decimals 4
- Dividing positive fractions
- Dividing fractions by fractions and whole numbers applications
- Multi-digit division
- Greatest common divisor
- Least common multiple
- Multiplying decimals 3
- Subtracting decimals 2
- Understanding dividing fractions by fractions
- Finding percents
- Percentage word problems 1
- Rate problems 0.5
- Ratio word problems
- Solving ratio problems with tables
- Units

# 226-230

- Adding and subtracting fractions
- Adding and subtracting negative numbers
- Adding and subtracting rational numbers
- Adding negative numbers
- Adding and subtracting negative numbers word problems
- Constructing and interpreting absolute value
- Converting fractions to decimals
- Dividing positive and negative fractions
- Positive and zero exponents of integers
- Positive exponents with positive and negative bases
- Multiplying and dividing negative numbers
- Multiplying fractions
- Operations with rational numbers
- Order of operations with negative numbers
- Rational number word problems
- Understanding addition and subtraction with negative numbers
- Analyzing and identifying proportional relationships
- Constructing and comparing proportional relationships
- Constructing proportions to solve application problems
- Proportions 1
- Rate problems 1
- Rate problems 2
- Writing proportions

# 231-234

- Approximating irrational numbers
- Converting decimals to fractions 2
- Converting 1-digit repeating decimals to fractions
- Converting multi-digit repeating decimals to fractions
- Properties of exponents
- Recognizing rational and irrational numbers
- Scientific notation intuition
- Writing fractions as repeating decimals

**>235**

- Fractional exponents
- Fractional exponents 2
- Manipulating fractional exponents
- Simplifying radicals 2
- Simplifying expressions with exponents
- Adding and subtracting complex numbers
- Adding and subtracting radicals
- Imaginary unit powers
- Measurement precision
- Multiplying complex numbers
- The imaginary unit and complex numbers
- Units and scale of graphs
- Reasonable units
- Working with units algebraically