Grades

lesson 1

• 1 . Divisibility by 2
• 2 . Even and odd numbers
• 3 . Divisibility by 5
• 4 . Divisibility by 10
• 5 . Divisibility by 3
• 6 . Divisibility by 9
• 7 . Divisibility by 4
• 8 . Divisibility by 8
• 9 . Divisibility by 6
• 10 . Divisors of a number
• 11 . Multiples of a number
• 12 . Division Criteria: Divisibility Rules for Numbers

lesson 2

• 1 . Prime and composite numbers
• 2 . Factorizing a natural number into prime factors
• 3 . Filling in omitted prime factors
• 4 . Finding the number, sum, and products of a number's prime factors
• 5 . GCD (Greatest Common Divisor)
• 6 . Relatively prime numbers
• 7 . Finding GCD for three or more numbers
• 8 . LCM (Least Common Multiple)
• 9 . Finding LCM for three or more numbers
• 10 . GCD and LCM: Problems

lesson 3

• 1 . Equivalent fractions
• 2 . Reducing fractions
• 3 . Finding a common denominator for fractions

lesson 4

• 1 . Comparing fractions with different denominators
• 2 . Comparing mixed numbers
• 3 . Ordering fractions

lesson 5

• 1 . Adding fractions with different denominators
• 2 . Adding three or more fractions
• 3 . Subtracting fractions with different denominators
• 4 . Subtracting three or more fractions

lesson 6

• 1 . Adding mixed numbers
• 2 . Adding three or more mixed numbers
• 3 . Subtracting mixed numbers
• 4 . Subtracting three or more mixed numbers
• 5 . Adding and subtracting mixed numbers
• 6 . Adding and subtracting mixed numbers: Equations
• 7 . Adding and subtracting mixed numbers: Problems

lesson 7

• 1 . Multiplying a natural number by a fraction
• 2 . Multiplying two fractions
• 3 . Multiplying two or more fractions
• 4 . Multiplying a natural number by a mixed number
• 5 . Multiplying mixed numbers

lesson 8

• 1 . Comparing results
• 2 . Arithmetic operations with mixed numbers
• 3 . Fractions: Word problems

lesson 9

• 1 . Finding a part of a natural number
• 2 . Finding a part of a mixed number
• 3 . Expressions for finding a part of a number
• 4 . Problems related to finding parts of numbers

lesson 10

• 1 . Commutative property
• 2 . Associative property
• 3 . Distributive property
• 4 . Algebraic expressions

lesson 11

• 1 . Reciprocal numbers
• 2 . Dividing a natural number by a fraction
• 3 . Dividing a fraction by a natural number
• 4 . Dividing fractions

lesson 12

• 1 . Dividing mixed numbers
• 2 . Dividing mixed numbers: Expressions
• 3 . Dividing mixed numbers: Equations
• 4 . Dividing mixed numbers: Problems
• 5 . Finding a number given a part
• 6 . Finding a number given a part: Problems

lesson 13

• 1 . Arithmetic operations with fractions
• 2 . Tasks with fractions: Equations
• 3 . Tasks with fractions: Word problems

lesson 14

• 1 . Multiplying a decimal fraction by a natural number
• 2 . Counting decimal places in a product
• 3 . Multiplying a decimal fraction by 10, 100, 1000
• 4 . Multiplying a decimal fraction by another decimal fraction
• 5 . Finding the power of a decimal fraction
• 6 . Multiplying decimal fractions: Word problems

lesson 15

• 1 . Dividing a decimal fraction by a natural number
• 2 . Dividing a decimal fraction by 10, 100, 1000
• 3 . Dividing a decimal fraction by another decimal fraction

lesson 16

• 1 . Multiplying decimal fractions: Arithmetic operations
• 2 . Dividing decimal fractions: Arithmetic operations
• 3 . Multiplying and dividing decimal fractions: Arithmetic operations
• 4 . Multiplying and dividing decimal fractions: Word problems

lesson 17

• 1 . Converting repeating decimals to a short form
• 2 . Expressing a simple fraction as a repeating decimal
• 3 . Converting mixed numbers to repeating decimal form
• 4 . Converting repeating decimal fractions to mixed numbers
• 5 . Types of decimal fractions

lesson 18

• 1 . Rounding decimal fractions to tenths
• 2 . Rounding decimal fractions to hundredths
• 3 . Rounding decimal fractions to thousandths
• 4 . Rounding decimal fractions to ten-thousandths
• 5 . Rounding decimal fractions to whole numbers

lesson 19

• 1 . Numerical expressions
• 2 . Algebraic expressions
• 3 . Equations
• 4 . Problems

lesson 20

• 1 . Plotting integers on a number line
• 2 . Representing integers on horizontal and vertical number lines
• 3 . Concept of absolute value
• 4 . Finding the absolute value of a number
• 5 . Arithmetic operations with absolute values
• 6 . Comparing integers
• 7 . Ordering integers in ascending and descending order

lesson 21

• 1 . Adding integers on a number line
• 2 . Adding integers
• 3 . Subtracting integers on a number line
• 4 . Subtracting integers
• 5 . Adding and subtracting integers: Determining signs
• 6 . Adding and subtracting integers

lesson 22

• 1 . Multiplying integers: Determining signs
• 2 . Multiplying integers
• 3 . Dividing integers: Determining signs
• 4 . Dividing integers
• 5 . Multiplying and dividing integers

lesson 23

• 1 . Arithmetic operations with integers
• 2 . Integers: Word problems

lesson 24

• 1 . Plotting rational numbers on a number line
• 2 . Comparing rational numbers
• 3 . Ordering rational numbers in ascending and descending order
• 4 . Reciprocal numbers
• 5 . Absolute value of rational numbers
• 6 . Classifying rational numbers using diagrams
• 7 . Classification of rational numbers

lesson 25

• 1 . Adding rational numbers
• 2 . Subtracting rational numbers
• 3 . Multiplying rational numbers
• 4 . Dividing rational numbers
• 5 . Adding, subtracting, multiplying, and dividing rational numbers

lesson 26

• 1 . Coordinates in a coordinate system
• 2 . Plotting a point on a graph
• 3 . Quadrants
• 4 . Distance between two points
• 5 . Drawing shapes in a coordinate system

lesson 27

• 1 . Elements of a triangle
• 2 . Perimeter of a triangle
• 3 . Finding an unknown angle in a triangle
• 4 . Types of triangles
• 5 . Area of a triangle

lesson 28

• 1 . Radius and diameter
• 2 . Finding the circumference of a circle
• 3 . Finding the area of a circle

lesson 29

• 1 . Calculating areas on graph paper
• 2 . Calculating areas of complex shapes
• 3 . Calculating volumes of spatial shapes

lesson 30

• 1 . Relationships between units of measurement

lesson 31

• 1 . Writing ratios
• 2 . Writing ratios with fractions
• 3 . Ratios: Problems

lesson 32

• 1 . Finding equivalent ratios
• 2 . Finding an unknown term in a proportion
• 3 . Proportions: Problems

lesson 33

• 1 . Directly proportional quantities
• 2 . Inversely proportional quantities
• 3 . Direct and inverse proportional quantities: Problems

lesson 34

• 1 . Determining scale
• 2 . Scale: Problems

lesson 35

• 1 . Expressing fractions as percentages
• 2 . Expressing percentages as fractions
• 3 . Finding one percent of a quantity
• 4 . Finding the percentage of a number
• 5 . Finding a number based on a percentage
• 6 . Comparing percentages with each other and with fractions
• 7 . Percentage-related problems

lesson 36

• 1 . Numerical expressions
• 2 . Algebraic expressions

lesson 37

• 1 . Identifying expressions and equations
• 2 . Single-variable equations

lesson 38

• 1 . Economic-related problems
• 2 . Problems related to work done

lesson 39

• 1 . Tables. Creating tables.
• 2 . Mean, median, mode, and range of data series