Whole numbers

• Place values in whole numbers
• Word names for numbers
• Roman numerals

Decimal numbers

• What decimal number is illustrated?
• Decimal place values
• Word names for decimal numbers
• Convert decimals to mixed numbers
• Put decimal numbers in order
• Inequalities with decimals
• Round decimals
• Round whole numbers and decimals: find the missing digit
• Decimal number lines

Integers

• Understanding integers
• Absolute value and opposite integers
• Number lines with integers
• Compare and order integers

Rational numbers

• Compare rational numbers
• Put rational numbers in order
• Absolute value of rational numbers
• Add and subtract rational numbers
• Multiply and divide rational numbers

Exponents and square roots

• Write multiplication expressions using exponents
• Evaluate exponents
• Exponents: solve for the variable
• Exponents with decimal bases
• Exponents with fractional bases
• Understanding negative exponents
• Evaluate negative exponents
• Advanced exponents
• Square roots of perfect squares
• Estimate square roots

Money

• Find the number of each type of coin
• Add and subtract money amounts
• Add and subtract money amounts: word problems
• Multiply money by whole numbers and decimals
• Multiply money: word problems
• Divide money amounts
• Divide money amounts: word problems

Consumer math

• Which is the better coupon?
• Unit prices: which is the better buy?
• Unit prices with fractions and decimals
• Unit prices with customary unit conversions
• Percents - calculate tax, tip, mark-ups, and more
• Simple interest

Time

• Elapsed time
• Time units
• Find start and end times

Add and subtract integers

• Review - add and subtract whole numbers
• Review - add and subtract whole numbers: word problems
• Properties of addition
• Integer addition and subtraction rules
• Add integers - using counters
• Add integers
• Subtract integers - using counters
• Subtract integers
• Add and subtract integers - input/output tables
• Add three or more integers

Add and subtract decimals

• Add and subtract decimal numbers
• Add and subtract decimals: word problems
• Estimate sums and differences of decimals
• Maps with decimal distances

Multiplication

• Multiply whole numbers
• Multiply whole numbers: word problems
• Multiply whole numbers with four or more digits
• Multiply numbers ending in zeroes
• Multiply numbers ending in zeroes: word problems
• Multiply three or more numbers
• Multiply three or more numbers: word problems
• Estimate products
• Properties of multiplication
• Solve for a variable using properties of multiplication
• Integer multiplication rules
• Multiply integers

Division

• Divisibility rules
• Division patterns with zeroes
• Divide numbers ending in zeroes: word problems
• Estimate quotients
• Divide whole numbers - 2-digit divisors
• Divide whole numbers - 3-digit divisors
• Integer division rules
• Divide integers

Problem solving and estimation

• Estimate to solve word problems
• Word problems with multiple steps or extra or missing information
• Guess-and-check word problems
• Distance/direction to starting point
• Use logical reasoning to find the order

Number theory

• Convert between standard and scientific notation
• Prime or composite
• Identify factors
• Prime factorization
• Greatest common factor
• Least common multiple
• GCF and LCM: word problems

Multiply and divide decimals

• Multiply decimals
• Estimate products of decimal numbers
• Inequalities with decimal multiplication
• Divide decimals by whole numbers
• Divide decimals by whole numbers: word problems
• Multiply and divide decimals by powers of ten
• Division with decimal quotients
• Inequalities with decimal division
• Evaluate expressions involving decimals

Algebra

• Write variable expressions to represent word problems
• Evaluate variable expressions with whole numbers
• Solve word problems involving two-variable equations
• Evaluate variable expressions involving decimals, fractions, and mixed numbers
• Solve one-step equations with whole numbers
• Solve one-step equations involving decimals, fractions, and mixed numbers
• Evaluate multi-variable expressions
• Solve two-step equations
• Complete a function table and write an equation
• Write linear functions
• Evaluate expressions involving integers
• Solve equations involving integers
• Does (x, y) satisfy an equation?
• Identify terms, coefficients, and monomials
• Add and subtract like terms
• Solve equations involving like terms
• Half-life and population doubling

Coordinate graphing

• Coordinate graphs review
• Coordinate graphs as maps
• Find points on a function graph
• Write the linear function shown in a graph
• Graph linear functions
• Relative coordinates
• Identify linear and nonlinear functions

Charts and graphs

• Interpret pictographs
• Create pictographs
• Stem-and-leaf plots
• Create line plots
• Create frequency tables
• Interpret bar graphs
• Create bar graphs
• Interpret double bar graphs
• Create double bar graphs
• Create histograms
• Circle graphs with fractions
• Interpret line graphs
• Create line graphs
• Choose the best type of graph

Statistics

• Calculate mean, median, mode, and range
• Interpret charts to find mean, median, mode, and range
• Mean, median, mode, and range: find the missing number
• Identify representative, random, and biased samples

Fractions and mixed numbers

• Fractions and mixed numbers review
• Equivalent fractions review
• Simplify fractions
• Understanding fractions: word problems
• Least common denominator
• Compare fractions with like and unlike denominators
• Compare fractions: word problems
• Convert between improper fractions and mixed numbers
• Convert between decimals and fractions or mixed numbers
• Put a mix of decimals, fractions, and mixed numbers in order

Add and subtract fractions

• Add and subtract fractions with like denominators
• Add and subtract fractions with like denominators: word problems
• Add and subtract fractions with unlike denominators
• Add and subtract fractions with unlike denominators: word problems
• Inequalities with addition and subtraction of like and unlike fractions
• Add and subtract mixed numbers
• Add and subtract mixed numbers: word problems
• Estimate sums and differences of mixed numbers
• Maps with fractional distances

Multiply fractions

• Fractions of whole numbers I
• Fractions of whole numbers II
• Fractions of a number: word problems
• Estimate products of fractions and whole numbers
• Multiply fractions - with models
• Multiply two fractions
• Multiply fractions: word problems
• Multiply three or more fractions and whole numbers
• Estimate products of fractions, whole numbers, and mixed numbers
• Multiply mixed numbers and whole numbers
• Multiply mixed numbers
• Multiply mixed numbers: word problems
• Multiply three or more mixed numbers, fractions, and/or whole numbers

Divide fractions

• Divide by fractions - with models
• Reciprocals
• Divide fractions
• Estimate quotients when dividing mixed numbers
• Divide fractions and mixed numbers
• Divide fractions and mixed numbers: word problems
• Simplify expressions involving fractions
• Recipes with fractions and mixed numbers

Measurement

• Estimate customary and metric measurements
• Convert and compare customary units
• Convert, compare, add, and subtract mixed customary units
• Multiply and divide mixed customary units
• Customary unit conversions involving fractions and mixed numbers
• Convert and compare metric units
• Convert between customary and metric systems
• Working with temperatures above and below zero (0)
• Convert between Celsius and Fahrenheit

Geometry

• Lines, line segments, and rays
• Review of 2- and 3-dimensional figures
• Angle review: measure and classify
• Estimate angle measurements
• Name angles
• Complementary and supplementary angles
• Transversal of parallel lines
• Triangle review
• Classify quadrilaterals
• Find missing angles and side lengths in triangles and quadrilaterals
• Sums of angles in polygons
• Parts of a circle
• Central angles of circles
• Similar and congruent figures
• Find side lengths of similar figures
• Reflection, rotation, and translation
• Symmetry
• Find lengths and measures of bisected lines and angles
• Perimeter
• Area
• Rectangles: relationship between perimeter and area
• Compare area and perimeter of two figures
• Circles: calculate area, circumference, radius, and diameter
• Identify polyhedra and count faces, edges, and vertices
• Which figure is being described?
• Front, side, and top view
• Volume and surface area

Ratios, proportions, and percents

• Write a ratio to describe objects in a picture
• Equivalent ratios
• Proportions
• Unit rates and equivalent rates
• Scale drawings
• Convert between percents, fractions, and decimals
• Compare percents to each other and to fractions
• Compare percents and fractions: word problems
• Percents of numbers and money amounts
• Percents of numbers: word problems
• Percents of numbers - with fractional and decimal percents
• Find what percent one number is of another
• Find what percent one number is of another: word problems

Probability

• Combinations
• Probability of one event
• Make predictions
• Probability of opposite, mutually exclusive, and overlapping events
• Compound events - find the number of outcomes by counting
• Probability of dependent and independent events
• Factorials
• Permutations