Place value and number sense

• Place values
• Convert between place values
• Compare numbers up to billions
• Word names for numbers
• Roman numerals
• Rounding
• Even and odd arithmetic patterns
• Understanding integers
• Compare integers
• Put integers in order
• Scientific notation

Geometry

• Identify planar and solid figures
• Types of triangles
• Open and closed shapes and qualities of polygons
• Regular and irregular polygons
• Number of sides in polygons
• Which figure is being described?
• Reflection, rotation, and translation
• Count and compare sides, edges, faces, and vertices
• Similar and congruent
• Nets of 3-dimensional figures
• Types of angles
• Measure angles with a protractor
• Parts of a circle
• Perimeter
• Area of squares and rectangles
• Area of triangles
• Area of parallelograms and trapezoids
• Area of compound figures
• Area and perimeter of irregular figures
• Area and perimeter: word problems
• Volume
• Surface area
• Three-dimensional figures viewed from different perspectives
• Lines of symmetry
• Rotational symmetry
• Lines, line segments, and rays
• Parallel, perpendicular, intersecting
• Radius, diameter, circumference, and area of a circle
• Find the unknown angle in triangles and quadrilaterals

Decimals

• What decimal number is illustrated?
• Understanding decimals expressed in words
• Place values in decimal numbers
• Equivalent decimals
• Round decimals
• Decimal number lines
• Compare decimal numbers
• Put decimal numbers in order
• Convert fractions to decimals
• Convert decimals to fractions
• Compare decimals and fractions
• Repeating decimals
• Put assorted decimals, fractions, and mixed numbers in order

Addition and subtraction

• Add and subtract whole numbers up to billions
• Add and subtract whole numbers: word problems
• Add and subtract money amounts
• Add and subtract money: word problems
• Complete addition and subtraction sentences
• Fill in the missing digits
• Choose numbers with a particular sum or difference
• Properties of addition
• Inequalities with addition and subtraction
• Estimate sums and differences of whole numbers
• Estimate sums and differences: word problems

Add and subtract decimals

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

Multiplication

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

Multiply decimals

• Estimate products
• Multiply a decimal by a power of ten
• Multiply a decimal by a one-digit whole number
• Multiply a decimal by a multi-digit whole number
• Multiply decimals and whole numbers: word problems
• Multiply money amounts: word problems
• Multiply three or more numbers, one of which is a decimal
• Multiply two decimals using grids
• Multiply two decimals
• Inequalities with decimal multiplication

Division

• Division facts to 12
• Division facts to 12: word problems
• Divide multi-digit numbers by 1-digit numbers
• Divide multi-digit numbers by 1-digit numbers: word problems
• Divide by 1-digit numbers: interpret remainders
• Estimate quotients: word problems (0)
• Division patterns over increasing place values
• Divide numbers ending in zeroes
• Divide numbers ending in zeroes: word problems
• Divide by 2-digit numbers
• Divide by 2-digit numbers: word problems
• Divide money amounts: word problems
• Estimate quotients
• Choose numbers with a particular quotient

Division with decimals

• Divide by powers of ten
• Division patterns over increasing place values
• Division with decimal quotients
• Division with decimal quotients and rounding
• Division with decimal quotients: word problems

Problem solving

• Multi-step word problems
• Word problems with extra or missing information
• Guess-and-check problems
• Find the order
• Use Venn diagrams to solve problems

Number theory

• Prime and composite numbers
• Prime factorization
• Divisibility rules
• Divisibility rules: word problems
• Greatest common factor
• Least common multiple

Fractions and mixed numbers

• Fractions review
• Equivalent fractions
• Reduce fractions to simplest form
• Convert between improper fractions and mixed numbers
• Least common denominator
• Compare fractions and mixed numbers
• Order fractions from least to greatest
• Arithmetic sequences with fractions
• Geometric sequences with fractions
• Round mixed numbers
• Reciprocals

Add and subtract fractions

• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Add and subtract mixed numbers 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: word problems
• Complete addition and subtraction sentences with fractions
• Inequalities with addition and subtraction of fractions
• Estimate sums and differences of mixed numbers
• Add mixed numbers with unlike denominators
• Subtract mixed numbers with unlike denominators
• Add and subtract mixed numbers: word problems
• Complete addition and subtraction sentences with mixed numbers
• Inequalities with addition and subtraction of mixed numbers

Multiply fractions

• Multiply fractions by whole numbers I
• Multiply fractions by whole numbers II
• Multiply fractions by whole numbers: word problems
• Multiply fractions by whole numbers: input/output tables
• Multiply fractions - with models
• Multiply two fractions
• Multiply two fractions: word problems
• Multiply three or more fractions and whole numbers
• Complete the fraction multiplication sentence
• Estimate products of mixed numbers
• Multiply a mixed number by a whole number
• Multiply a mixed number by a fraction
• Multiply two mixed numbers
• Multiply three or more mixed numbers, fractions, and/or whole numbers
• Multiplication with mixed numbers: word problems
• Complete the mixed-number multiplication sentence

Divide fractions

• Divide fractions
• Divide fractions and mixed numbers
• Complete the division sentence
• Divide fractions and mixed numbers: word problems
• Recipes with fractions

Algebra

• Simplify expressions using order of operations and parentheses
• Write variable expressions
• Evaluate variable expressions
• Write equations to represent word problems
• Solve equations I
• Solve equations II
• Function tables
• Convert graphs to input/output tables
• Write linear functions
• Graph linear functions
• Evaluate functions
• Write multiplication expressions using exponents
• Evaluate exponent expressions
• Complete the exponent expression

Coordinate graphs

• Coordinate graphs review - whole numbers only
• Coordinate graphs with decimals and negative numbers
• Location and relative coordinates on maps
• Quadrants

Data, charts, and graphs

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

Patterns

• Geometric growth patterns
• Increasing growth patterns
• Patterns involving addition and multiplication
• Numeric patterns: word problems
• Mixed patterns review

Consumer math

• Price lists
• Unit prices
• Sale prices

Ratios, proportions, and percents

• Determine the ratio
• Ratio tables
• Ratios: word problems
• Equivalent ratios
• Proportions
• Unit rates and equivalent rates
• Scale drawings
• What percentage is illustrated?
• Convert between percents, fractions, and decimals
• Percent of a number
• Percent of a number: word problems
• Compare percentages

Measurement

• Choose the appropriate customary unit of measure
• Choose the appropriate metric unit of measure
• Compare and convert customary units
• Compare and convert metric units
• Compare customary units by multiplying
• Convert customary units involving fractions
• Convert mixed customary units
• Add and subtract mixed customary units
• Convert between metric and customary units
• Reasonable temperature - Celsius and Fahrenheit

Time

• Convert time units
• Add and subtract mixed time units
• Time zones
• Elapsed time
• Find start and end times: word problems
• Schedules and time lines
• Time patterns

Probability and statistics

• Calculate mean, median, mode, and range
• Mean, median, mode, and range: find the missing number
• Interpret charts to find mean, median, mode, and range
• Calculate probability
• Make predictions
• Combinations
• Probabilities of compound events