United States · Common Core State Standards
1st Grade Mathematics
This curriculum focuses on developing deep numerical fluency and spatial reasoning in young learners. Students move beyond rote counting to explore the relationships between numbers, the logic of base-ten systems, and the properties of geometric shapes.
Numerical Relationships and Algebraic Thinking
Students explore the meaning of addition and subtraction through real world scenarios and part-part-whole relationships.
Developing an understanding of addition as putting together and subtraction as taking apart or finding a difference.
Moving beyond the equal sign as a signal to calculate and toward an understanding of balance and equivalence.
Applying operations to solve problems involving adding to, taking from, putting together, and comparing.
The Power of Ten and Place Value
Students investigate the structure of numbers up to 120 and the significance of the base-ten system.
Understanding that the two digits of a two-digit number represent amounts of tens and ones.
Using place value understanding to compare two-digit numbers using symbols.
Adding within 100 using concrete models and strategies based on place value properties.
Measuring the World and Data Literacy
Students explore length, time, and data representation to describe the physical world.
Ordering objects by length and measuring using non-standard units.
Learning to tell and write time in hours and half-hours using analog and digital clocks.
Organizing, representing, and interpreting data with up to three categories.
Geometry and Fractional Parts
Students identify shapes by their attributes and explore how shapes can be partitioned into equal shares.
Distinguishing between defining attributes like sides and corners versus non-defining attributes like color or size.
Creating composite shapes from two-dimensional and three-dimensional forms.
Partitioning circles and rectangles into two and four equal shares.