1. Number recognition and counting:
Ability to recognize and name numbers from 1 to 100.
Proficiency in counting forwards and backward from any given number.
Understanding the concept of one-to-one correspondence when counting objects.
2. Addition and subtraction within 20:
Knowledge of basic addition and subtraction facts up to 10.
Ability to solve simple addition and subtraction problems within 20 using manipulatives, number lines, or mental strategies.
Understanding the relationship between addition and subtraction (e.g., knowing that addition undoes subtraction and vice versa).
3. Number sense and place value:
Understanding the value of each digit in a two-digit number (e.g., recognizing that 32 is composed of 3 tens and 2 ones).
Ability to compare two-digit numbers using the symbols for greater than, less than, and equal to.
Recognizing patterns in numbers, such as counting by 2s, 5s, and 10s.
4. Measurement and data:
Knowledge of basic units of measurement (e.g., length, weight, and capacity).
Understanding the concept of time, including telling time to the hour and half-hour.
Ability to organize and interpret data using simple graphs and charts.
5. Geometric shapes and patterns:
Recognition and identification of common two-dimensional shapes, such as squares, circles, triangles, and rectangles.
Understanding the attributes of shapes (e.g., number of sides, angles, and symmetry).
Ability to extend and create patterns using shapes, colors, or numbers.
Identification and value of coins (penny, nickel, dime, quarter) up to 25 cents.
Understanding the concept of exchanging smaller coins for larger coins (e.g., four pennies make a nickel).
Basic understanding of the purpose of money and its use in making purchases.
7. Problem-solving and critical thinking:
Ability to apply mathematical strategies and reasoning to solve word problems.
Analyzing and interpreting mathematical information presented in different formats (e.g., diagrams, charts, and tables).
Developing logical thinking and problem-solving skills through math activities and puzzles.
8. Mathematical vocabulary and communication:
Use of appropriate mathematical vocabulary (e.g., greater than, less than, equal to, and add, subtract) to describe and explain mathematical concepts.
Ability to express mathematical ideas and reasoning orally and in written form.
Actively participating in discussions and group activities related to math concepts.
9. Basic time and money concepts:
Understanding the concept of time, including days of the week, months of the year, and sequencing events.
Counting and comparing amounts of money using coins and bills.
Telling time to the hour and half-hour using analog and digital clocks.
10. Estimation and measurement:
Estimating and comparing the length, weight, and capacity of objects using non-standard units (e.g., cubes, paperclips).
Understanding the concept of measuring with standard units (e.g., inches, centimeters) and using appropriate tools (e.g., ruler, measuring tape).
Recognizing and using standard measurements in real-life situations (e.g., measuring ingredients for a recipe or estimating the distance between two locations).