Elementary Math Operations

Numbers and Operations

• Number sense:
  • Counting numbers up to 1000
  • Identifying even and odd numbers
  • Comparing numbers using greater than, less than, and equal to
• Addition and subtraction:
  • Basic facts within 20 (e.g. 2+2, 5-3)
  • Adding and subtracting multiples of 10 (e.g. 10+20, 50-30)
  • Solving simple word problems using addition and subtraction
• Multiplication and division:
  • Introducing basic multiplication facts (e.g. 2 x 3, 5 x 2)
  • Understanding basic division concepts (e.g. sharing, grouping)

Shapes and Measurement

• Geometry:
  • Identifying and naming basic shapes (e.g. square, rectangle, triangle, circle)
  • Recognizing shapes in real-world objects
  • Understanding basic shape properties (e.g. number of sides, number of corners)
• Measurement:
  • Measuring lengths using units (e.g. inches, centimeters)
  • Comparing lengths using longer/shorter and equal
  • Introducing basic time concepts (e.g. days of the week, months)

Data and Patterns

• Data:
  • Collecting and organizing data
  • Creating simple bar graphs and picture graphs
  • Answering basic questions using data
• Patterns:
  • Identifying and extending patterns using shapes, colors, and numbers
  • Creating simple patterns using everyday objects

Money and Time

• Money:
  • Identifying and counting coins (e.g. pennies, nickels, dimes)
  • Understanding basic money concepts (e.g. value, equivalent amounts)
• Time:
  • Telling time to the hour and half hour
  • Understanding basic time concepts (e.g. AM/PM, morning/afternoon)

Numbers and Operations

• Counting numbers up to 1000
• Identifying even and odd numbers
• Comparing numbers using greater than, less than, and equal to
• Basic addition and subtraction facts within 20
• Adding and subtracting multiples of 10
• Solving simple word problems using addition and subtraction
• Introducing basic multiplication facts
• Understanding basic division concepts

Shapes and Measurement

• Identifying and naming basic shapes: square, rectangle, triangle, circle
• Recognizing shapes in real-world objects
• Understanding basic shape properties: number of sides, number of corners
• Measuring lengths using units: inches, centimeters
• Comparing lengths using longer/shorter and equal
• Introducing basic time concepts: days of the week, months

Data and Patterns

• Collecting and organizing data
• Creating simple bar graphs and picture graphs
• Answering basic questions using data
• Identifying and extending patterns using shapes, colors, and numbers
• Creating simple patterns using everyday objects

Money and Time

• Identifying and counting coins: pennies, nickels, dimes
• Understanding basic money concepts: value, equivalent amounts
• Telling time to the hour and half hour
• Understanding basic time concepts: AM/PM, morning/afternoon

Percentage

• A percentage is a way to express a value as a fraction of 100
• To convert a fraction to a percentage, multiply by 100
• To convert a percentage to a fraction, divide by 100
• Percentage can be used to express increase or decrease in value
• It can also be used to find a percentage of a quantity
• Common applications of percentage include discounts and sales, interest rates, and grades and marks

Ratios

• A ratio is a comparison of two quantities
• There are two types of ratios: part-to-part ratio and part-to-whole ratio
• Part-to-part ratio compares two parts of a whole
• Part-to-whole ratio compares one part to the entire whole
• Equivalent ratios have the same value
• Example: 2:3 is equivalent to 4:6
• Ratios are used in real-life situations such as recipes and cooking, mixing and blending, and scaling and proportions

Fractions

• A fraction is a way to represent a part of a whole
• There are three types of fractions: proper, improper, and mixed fractions
• Proper fraction has a numerator less than the denominator
• Improper fraction has a numerator greater than or equal to the denominator
• Mixed fraction is a combination of a whole number and a proper fraction
• To add or subtract fractions, they must have the same denominator
• To multiply fractions, multiply the numerator and denominator separately
• To divide fractions, invert and multiply
• Fractions can be simplified by dividing both numerator and denominator by their greatest common divisor (GCD)
• Example: 6/8 can be simplified to 3/4

Test your understanding of basic math operations, including number sense, addition, subtraction, multiplication, and division. Practice counting, comparing, and solving simple word problems.