Grades

lesson 1

• 1. Divisors of a number
• 2. Multiples of a number
• 3. Even and odd numbers
• 4. Divisibility by 10
• 5. Divisibility by 5
• 6. Divisibility by 2
• 7. Divisibility by 3
• 8. Divisibility by 9
• 9. Divisibility by 4
• 10. Divisibility by 8
• 11. Divisibility by 6
• 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