Whole Numbers: Count, read, and write whole numbers to 100.
Comparison between Numbers: Compare and order whole numbers to 100 by using the symbols for less than, equal to, or greater than (< =, >)
Representation of Numbers: Represent equivalent forms of the same number through the use of physical models, diagrams, and number expressions (to 20) (e.g., 8 may be represented as 4 + 4, 5 + 3, 2 + 2 + 2 + 2, 10 -2, 11 -3).
Grouping of Objects: Count and group object in ones and tens (e.g., three groups of 10 and 4 equals 34, or 30 + 4).
Coins: Identify and know the value of coins and show different combinations of coins that equal the same value.
Mental Methods: Know the addition facts (sums to 20) and the corresponding subtraction facts and commit them to memory.
Addition and Subtraction
Number Patterns and Sequences
Rounding and Estimation
Algebra and Functions
Word Problems: Write and solve number sentences from problem situations that express relationships involving addition and subtraction.
Writing Symbols: Understand the meaning of the symbols +, -, =.
Measurement and Geometry
Comparison of objects using their attributes Compare the length, weight, and volume of two or more objects by using direct comparison or a nonstandard unit.
Time Conversion: Tell time to the nearest half hour and relate time to events (e.g., before/after, shorter/longer).
Identification and Comparison of Shapes: Identify, describe, and compare triangles, rectangles, squares, and circles, including the faces of three-dimensional objects.
Direction Questions: Give and follow directions about location.
Vocabulary for Orientation of Shapes: Arrange and describe objects in space by proximity, position, and direction (e.g., near, far, below, above, up, down, behind, in front of, next to, left or right of).
Statistics, Data Analysis, and Probability
Data Collection Sort objects and data by common attributes and describe the categories.
Representing Data: Represent and compare data (e.g., largest, smallest, most often, least often) by using pictures, bar graphs, tally charts, and picture graphs.
Patterns: Describe, extend, and explain ways to get to a next element in simple repeating patterns (e.g., rhythmic, numeric, color, and shape).
Mathematical Reasoning
Use of tools and strategies Use tools, such as manipulative or sketches, to model problems and determination of the approach, materials, and strategies to be used.
Reasoning: Explain the reasoning used and justify the procedures selected.
Calculations and Result Verification: Make precise calculations and check the validity of the results from the context of the problem.