Mathematics

Children will learn that mathematics is an integral part of everyday life. They will begin to value mathematics and use basic mathematical concepts and skills. Children will gain an understanding that the components of problem solving, communication, reasoning, connections, and estimation are major processes woven through all mathematical concepts. They will learn to use communication skills of gathering and comparing data as well as the study of patterns and order.

Problem Solving

  • Frequent use of manipulatives to investigate and solve new mathematical situations through problem solving
  • Begin to use strategies such as: making a list, drawing a picture, looking for patterns, etc.
  • Discuss and write about problem solving strategies
Reasoning
  • Use addition and subtraction to complete or create a number pattern
  • Identify and describe what comes next in a pattern
  • Verify answers to problems
  • Explain why an answer is correct or incorrect and whether or not the answer is reasonable
  • Explore number families: 2+3=5; 3+2=5; and 5-2=3; 5-3=2
Communication
  • Discuss mathematical concepts and relationships
  • Use objects, draw pictures, and use numbers to illustrate mathematical concepts
  • Write about mathematical topics and mathematical experiences presented in class
  • Discuss estimates and predictions in small groups and with the class
  • Reflect on mathematical concepts by responding to “What if…” questions
Connections
  • Explore and discuss the relationship of addition and subtraction
  • Connect mathematical applications, such as graphs, tables, and other math skills, to social studies, science, and children’s literature
  • Explore and make connections between mathematics and the use of shapes in art and the use of rhythm patterns in music
  • Connect mathematics to the real world and write about these connections
Number Sense and Numeration
  • Count by ones, twos, fives, and tens up to 100
  • Count and write numbers 1-100
  • Identify and use even and odd numbers
  • Order a set of numbers (0-99) from smallest to largest
  • Name the whole numbers immediately before or after a given two-digit number
  • Compare two-digit numbers and identify which is more or less
  • Use a place value model to represent numbers up to one hundred
  • Explore patterns in the 100 chart
  • Explore deconstructing numbers into their various groups, e.g., 100 as ten groups of 10, two groups of 50, etc.
Concepts of Whole Number Operations and Computation
  • Represent the joining and separating of sets to show the understanding of addition and subtraction
  • Develop addition algorithms using manipulatives
  • Use manipulatives to develop the concept of subtraction as well as to build mastery of specific subtraction facts
  • Compare and discuss strategies to determine reasonableness of answers
  • Demonstrate mastery of subtraction facts based on their knowledge of addition facts to 10 and discuss the connection between addition and subtraction
  • Use estimation and mental computation to solve problems where exact answers are not required
Patterns
  • Recognize, describe, extend, and create patterns, e.g., ababab, abbabb, abcabc
  • Recognize and classify by attributes
Geometry and Spatial Sense
  • Introduce the concept of two- and three-dimensional figures
  • Recognize and create symmetric figures
  • Recognize and describe geometric shapes and structures in the environment
Measurement
  • Introduce measurement using length, time, and money
  • Develop an understanding of how to measure using standard and/or non-standard units
  • Recognize coins and values
  • Explore concepts such as area, volume, weight, temperature, and length, e.g. using a ruler, scale, etc.
Data Analysis and Probability
  • Construct and interpret verbal or written graphs from collected data
  • Pose questions, gather, and interpret data
  • Make predictions