Grades

lesson 1

• 1 . Writing natural numbers
• 2 . Understanding classes of natural numbers
• 3 . Writing natural numbers in words
• 4 . Writing natural numbers in digits
• 5 . Roman numerals

lesson 2

• 1 . Units of length measurement
• 2 . Units of weight measurement
• 3 . Units of time measurement
• 4 . Problems related to measurement units

lesson 3

• 1 . Addition and subtraction within thousands
• 2 . Problems involving addition and subtraction of sums and differences
• 3 . Addition and subtraction within billions
• 4 . Commutative property of addition
• 5 . Associative property of addition
• 6 . Properties of zero in addition and subtraction

lesson 4

• 1 . Scales and number systems
• 2 . Comparing natural numbers
• 3 . Rounding natural numbers

lesson 5

• 1 . Multiplying numbers ending in zero
• 2 . Converting a sum to a product
• 3 . Multiplying by a one-digit number
• 4 . Multiplying by a two-digit number
• 5 . Multiplying by a three-digit number
• 6 . Associative property of multiplication
• 7 . Multiplying using convenient methods
• 8 . Filling in missing parts in multiplication
• 9 . Multiplication problems

lesson 6

• 1 . Dividing numbers ending in zero
• 2 . Dividing by a one-digit number
• 3 . Dividing by a two-digit number
• 4 . Dividing by a three-digit number
• 5 . Division with remainders
• 6 . Checking division with remainders
• 7 . Division: Problems

lesson 7

• 1 . Checking division results by multiplication
• 2 . Checking multiplication results by division
• 3 . Adding, subtracting, multiplying, and dividing natural numbers
• 4 . Adding, subtracting, multiplying, and dividing natural numbers: Problems
• 5 . Distributive property of multiplication over addition
• 6 . Distributive property of multiplication over subtraction

lesson 8

• 1 . Algebraic expressions
• 2 . Problems related to numerical and algebraic expressions
• 3 . Rules for expanding parentheses
• 4 . Rule for factoring out the greatest common factor
• 5 . Finding the value of expressions

lesson 9

• 1 . Finding an unknown addend
• 2 . Finding an unknown subtrahend
• 3 . Dividing by a three-digit number
• 4 . Finding an unknown multiplier
• 5 . Finding an unknown divisor
• 6 . Finding an unknown divisor in division
• 7 . Problems related to formulating equations

lesson 10

• 1 . Order of operations for addition and subtraction
• 2 . Order of operations for multiplication and division
• 3 . Order of operations for four operations
• 4 . Order of operations involving parentheses

lesson 11

• 1 . Exponentiation of numbers
• 2 . Square of a number
• 3 . Cube of a number
• 4 . Expressions involving exponents

lesson 12

• 1 . Word problems: more by and less by
• 2 . Word problems: times more and times less
• 3 . Finding speed, time, and distance
• 4 . Relative movement of two objects
• 5 . Approaching and separating of two objects
• 6 . One object overtaking another
• 7 . Economic problems

lesson 13

• 1 . Expressing in fractions
• 2 . Reading and writing simple fractions
• 3 . Finding a fraction of a number
• 4 . Problems involving fractions
• 5 . Proper and improper fractions
• 6 . Expressing fractions with measurement units

lesson 14

• 1 . Comparing fractions on a number line
• 2 . Comparing simple fractions
• 3 . Ordering fractions

lesson 15

• 1 . Adding fractions with the same denominator
• 2 . Subtracting fractions with the same denominator
• 3 . Simple fractions: Word problems
• 4 . Adding three or more fractions
• 5 . Subtracting three or more fractions
• 6 . Adding and subtracting three or more fractions
• 7 . Adding and subtracting three or more fractions: Word problems
• 8 . Fractions: Algebraic expressions
• 9 . Fractions: Equations

lesson 16

• 1 . Representing a quotient as a simple fraction
• 2 . Representing a fraction as a quotient
• 3 . Dividing a sum by a number
• 4 . Division and fractions: Word problems

lesson 17

• 1 . Reading and writing mixed numbers
• 2 . Converting improper fractions to mixed numbers
• 3 . Converting mixed numbers to improper fractions
• 4 . Mixed numbers: Word problems

lesson 18

• 1 . Finding the sum: Mixed numbers and natural numbers
• 2 . Adding mixed numbers
• 3 . Finding the difference: Mixed numbers and natural numbers
• 4 . Subtracting mixed numbers
• 5 . Adding and subtracting mixed numbers
• 6 . Adding and subtracting mixed numbers: Word problems

lesson 19

• 1 . Reading and writing decimal fractions
• 2 . Representing a quotient as a decimal fraction
• 3 . Converting decimal fractions to simple fractions
• 4 . Converting decimal fractions to mixed numbers
• 5 . Expressing decimal fractions with the same denominator

lesson 20

• 1 . Equivalent decimal fractions
• 2 . Comparing decimal fractions on a number line
• 3 . Comparing decimal fractions
• 4 . Ordering decimal fractions
• 5 . Rounding decimal fractions

lesson 21

• 1 . Adding decimal fractions
• 2 . Subtracting decimal fractions
• 3 . Adding and subtracting decimal fractions
• 4 . Adding and subtracting decimal fractions: Word problems

lesson 22

• 1 . Types of angles
• 2 . Identifying angle types
• 3 . Using a compass to determine cardinal directions
• 4 . Parallel and perpendicular lines
• 5 . Adjacent angles formed by the intersection of two lines
• 6 . Vertical angles formed by the intersection of two lines
• 7 . Length of a broken line
• 8 . Circle and disk

lesson 23

• 1 . Perimeter of a rectangle
• 2 . Perimeter of a square
• 3 . Perimeter of a polygon
• 4 . Perimeter of a composite shape

lesson 24

• 1 . Area of a rectangle
• 2 . Area of a square
• 3 . Area of a composite shape
• 4 . Units of area measurement

lesson 25

• 1 . Polyhedra
• 2 . Surface area of a rectangular parallelepiped
• 3 . Surface area of a cube
• 4 . Volume of a rectangular parallelepiped
• 5 . Volume of a cube
• 6 . Units of volume measurement
• 7 . Calculating the volume of complex spatial shapes

lesson 26

• 1 . Creating tables
• 2 . Constructing diagrams
• 3 . Finding the mean of a data set
• 4 . Mean of a data set: Word problems
• 5 . Finding the range of a data set
• 6 . Finding the mode of a data set
• 7 . Finding the median of a data set