Mathematics for grades one to three.

In grades one to three, students typically learn the following mathematical concepts:

1. Counting and Cardinality: Students learn to count forward and backward from any given number, understand the concept of one-to-one correspondence, and recognize numbers up to 100.

2. Operations and Algebraic Thinking: Students learn basic addition and subtraction facts, understand the relationship between addition and subtraction, and solve simple word problems involving addition and subtraction.

3. Number and Operations in Base Ten: Students learn place value concepts, such as understanding that a two-digit number represents amounts of tens and ones, and learn to compare two-digit numbers using symbols (<, >, =).

4. Measurement and Data: Students learn to measure and compare lengths, tell time to the nearest hour and half hour, and collect and organize data using graphs and charts.

5. Geometry: Students learn to identify and describe shapes, such as squares, rectangles, circles, and triangles, and understand concepts such as symmetry and congruence.

Overall, the focus in grades one to three is on building a strong foundation in basic mathematical concepts and skills that will prepare students for more advanced math concepts in later grades.

Grade 1

- Number and Operations
- Number recognition (0-30)
- Counting to 100 by ones
- Addition and subtraction within 5
- Comparison of numbers within 10
- Algebra
- Patterns (simple repeating patterns)
- Geometry
- Basic shapes (circle, square, triangle, rectangle)
- Sorting objects by shape
- Measurement
- Non-standard measurement (e.g., using blocks to measure length)

Grade 2

- Number and Operations
- Fluency with addition and subtraction within 20
- Addition and subtraction with regrouping
- Multiplication and division of small numbers
- Measurement within 100 (e.g., inches, centimeters)
- Algebra
- Simple equations (e.g., a + 5 = 10)
- Basic functions (e.g., rule for patterns)
- Geometry
- Properties of shapes (e.g., number of sides)
- Spatial reasoning (e.g., folding and cutting shapes)
- Measurement
- Time (e.g., telling time to the hour and half hour)
- Weight (e.g., using a balance scale)

Grade 3

- Number and Operations
- Fluency with addition and subtraction within 100
- Multiplication and division with remainders
- Fraction concepts (e.g., halves, thirds)
- Algebra
- Expressions and equations (e.g., 5 + x = 12)
- Variables (e.g., using letters to represent numbers)
- Geometry
- Area and perimeter of rectangles
- Symmetry and transformations
- Measurement
- Volume (e.g., using cubes to fill a container)
- Temperature (e.g., reading a thermometer)