Number sense

• Place values
• Convert between place values
• Word names for numbers
• Roman numerals
• Prime and composite numbers
• Rounding
• Even and odd
• Inequalities with number lines
• Compare numbers up to billions

Addition

• Add numbers up to millions
• Add numbers up to millions: word problems
• Fill in the missing digits
• Properties of addition
• Add 3 or more numbers up to millions
• Addition patterns over increasing place values
• Choose numbers with a particular sum
• Estimate sums
• Estimate sums: word problems

Subtraction

• Subtract numbers up to millions
• Subtract numbers up to millions: word problems
• Fill in the missing digits
• Subtraction patterns over increasing place values
• Choose numbers with a particular difference
• Estimate differences
• Estimate differences: word problems

Multiplication

• Multiplication facts to 12
• Choose the multiples of a given number up to 12
• Multiply 1-digit numbers by larger numbers
• Multiplication patterns over increasing place values
• Properties of multiplication
• Estimate products
• Estimate products: word problems
• Multiply a 2-digit number by a 2-digit number: complete the missing steps
• Multiply a 2-digit number by a 2-digit number
• Multiply a 2-digit number by a 2-digit number: word problems
• Choose numbers with a particular product
• Multiply a 2-digit number by a larger number: complete the missing steps
• Multiply a 2-digit number by a larger number
• Multiply a 2-digit number by a larger number: word problems
• Multiply numbers ending in zeroes
• Multiply numbers ending in zeroes: word problems
• Multiply 3 numbers up to 2 digits each
• Inequalities with multiplication

Division

• Division facts to 12
• Division facts to 12: word problems
• Properties of division
• Divide larger numbers, one-digit divisors
• Divide larger numbers, one-digit divisors: word problems
• Divide by 1-digit numbers: complete the table
• Divide by 1-digit numbers: interpret remainders
• Choose numbers with a particular quotient
• Divide numbers ending in zeroes, one-digit divisors
• Estimate quotients, one-digit divisors
• Divisibility rules
• Division patterns over increasing place values
• Divide numbers ending in zeroes, multi-digit divisors
• Divide numbers ending in zeroes, multi-digit divisors: word problems
• Divide 2-digit numbers by multiples of 10
• Divide by 2-digit numbers
• Divide by 2-digit numbers: word problems
• Divide larger numbers by 2-digit numbers
• Divide larger numbers by 2-digit numbers: word problems
• Inequalities with division
• Estimate quotients

Mixed operations

• Multi-step word problems
• Estimate sums, differences, products, and quotients: word problems
• Word problems with extra or missing information
• Solve word problems using guess-and-check
• Choose numbers with a particular sum, difference, product, or quotient
• Mentally add and subtract numbers ending in zeroes
• Inequalities involving addition, subtraction, multiplication, and division

Algebra

• Write variable expressions
• Write variable expressions: word problems
• Evaluate variable expressions
• Simplify expressions using order of operations and parentheses
• Write variable equations to represent word problems
• Solve variable equations

Functions

• Input/output tables with addition, subtraction, multiplication, and division
• Function tables
• Write linear functions
• Graph linear functions

Coordinate graphs

• Coordinate graphs review
• Relative coordinates
• Coordinate graphs as maps

Data, charts, and graphs

• Read a table
• Line graphs
• Bar graphs
• Frequency charts
• Stem-and-leaf plots
• Circle graphs
• Choose the best type of graph

Logical reasoning

• Guess two numbers based on sum and difference
• Guess two numbers based on sum, difference, product, and quotient
• Find the order

Patterns

• Geometric growth patterns
• Increasing growth patterns
• Numeric patterns: word problems
• Mixed patterns review

Money

• Compare money amounts
• Round money amounts
• Add and subtract money amounts
• Add, subtract, multiply, and divide money amounts
• Making change
• Price lists with addition and subtraction
• Price lists with multiplication
• Unit prices

Measurement

• Compare and convert customary units
• Compare and convert metric units
• Compare customary units by multiplying
• Convert mixed customary units
• Add and subtract mixed customary units
• Convert between metric and customary units

Time

• Convert time units
• Add and subtract mixed time units
• Fractions of time units
• Time zones
• Elapsed time
• Find start and end times: multi-step word problems (0)
• Transportation schedules
• Time patterns

Geometry

• Identify planar and solid figures
• Types of triangles
• Open and closed shapes and qualities of polygons
• Which 2-dimensional shape is being described?
• Which 3-dimensional figure is being described?
• Number of sides in polygons
• Count and compare sides, edges, faces, and vertices
• Similar and congruent
• Nets of 3-dimensional figures
• Acute, right, obtuse, and straight angles
• Angles of 90, 180, 270, and 360 degrees
• Measure angles with a protractor
• Parts of a circle
• Perimeter
• Area of squares and rectangles
• Area of complex figures (with all right angles)
• Volume
• Use area and perimeter to determine cost
• Rotational symmetry
• Lines of symmetry
• Parallel, perpendicular, intersecting
• Calculate radius, diameter and circumference

Fractions and mixed numbers

• Equivalent fractions
• Patterns of equivalent fractions
• Reduce fractions to simplest form
• Fractions review
• Compare fractions
• Order fractions from least to greatest
• Fractions of a number
• Fractions of a number: word problems
• Mixed number review
• Convert between improper fractions and mixed numbers

Add and subtract fractions

• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Add 3 or more fractions with like denominators
• Add fractions with unlike denominators
• Subtract fractions with unlike denominators
• Add and subtract fractions with unlike denominators: word problems
• Add 3 or more fractions with unlike denominators
• Add 3 or more fractions with like and unlike denominators: word problems
• Find the missing numerator or denominator in addition and subtraction sentences
• Add and subtract mixed numbers with like denominators
• Add and subtract mixed numbers with unlike denominators
• Add and subtract mixed numbers with like and unlike denominators: word problems
• Inequalities with addition and subtraction of fractions
• Recipes

Decimals

• What decimal number is illustrated?
• Understanding decimals expressed in words
• Place values in decimal numbers
• Equivalent decimals
• Convert fractions and mixed numbers to decimals
• Convert decimals to fractions and mixed numbers
• Compare decimals and fractions
• Round decimals
• Compare decimal numbers
• Put decimal numbers in order
• Number sequences involving decimals
• Solve decimal problems using diagrams

Add and subtract decimals

• Add decimal numbers
• Subtract decimal numbers
• Add and subtract decimals: word problems
• Choose decimals with a particular sum or difference
• Add 3 or more decimals
• Add 3 or more decimals: word problems
• Complete the addition or subtraction sentence
• Inequalities with addition and subtraction
• Estimate sums and differences of decimals

Probability and statistics

• Calculate probability
• Make predictions
• Mean, median, mode, and range
• Interpret charts to find mean, median, mode, and range
• Combinations