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Guam Public School System Kindergarten Mathematics

MATHEMATICS

Kindergarten Standards

By the end of kindergarten, students explore the beginnings of concepts involving small numbers, quantities and simple shapes in their everyday environment. Concrete, hands-on experiences provide a foundation as they count, compare, describe and sort objects, and develop a sense about properties and patterns.

CONTENT STANDARD 1

1. Number Sense and Operations

Students will:

  • Understand the relationships between numbers and quantities

  • Understand and describe simple addition and subtraction situations

  • Use estimation strategies in computation and problem solving

  • Understand the use of numbers up to 100

  • Demonstrate the meaning of addition and subtraction and use the inverse relationship of addition and subtraction to solve problems

  • Make reasonable estimates when comparing numbers

  • Understand the relationship among whole numbers up to 1000

  • Calculate and solve problems using addition and subtraction

  • Model and solve simple problems involving multiplication and division

  • Understand that fractions, sets, and subsets refer to parts of a whole

  • Model and solve problems by representing, adding and subtracting amounts of money

  • Use estimation strategies in computation and problem solving that involve numbers that use ones, tens, hundreds and thousands places

  • Understand the place value of whole numbers

  • Calculate and solve problems that involve addition, subtraction, multiplication, and division

  • Understand the relationship between whole numbers, simple fractions, and decimals

  • Understand the place value of whole numbers and decimals, how these relate to addition of simple fractions and decimals, and use the concepts of negative numbers

  • Solve problems involving addition, subtraction, multiplication, and division of whole numbers, including the addition and subtraction of negative numbers, and understand the relationship among numbers

  • Compute with very large and very small numbers, negative and positive numbers, decimals and fractions and understand the relationship between fractions, decimals, and percents

Performance Indicators

1.K.1 Count, write, recognize, represent using manipulatives, name and differentiate numbers from 0-30.

1.K.2 Count backwards from 20-0.

1.K.3 Identify, describe, sort, classify, determine sequence and compare objects by attribute(s).

1.K.4 Explain number meanings through real world experiences and manipulatives.

1.K.5 Determine first, last.

1.K.6 Identify and illustrate fractional parts - whole and half.

1.K.7 Explain the function of a clock.

1.K.8 Recognize and distinguish coins: penny, nickel, dime, quarter.

1.K.9 Explain the function of a calculator.

1.K.10 Recognize the numbers on the face of a calculator.

1.K.11 Use manipulatives to illustrate addition and subtraction of 1-digit numerals.

1.K.12 Recognize the reasonableness of guesses in numerous situations.

CONTENT STANDARD 2

2. Measurement and Geometry

Students will:

  • Identify common geometric objects and explore properties such as length, weight, capacity

  • Describe, draw and compare the attributes of plane and solid geometric figures and classify them by common attributes and describe their relative location and use their understanding to show relationships and solve problems

  • Students explore the concept of time

  • Use direct comparison and non-standard units to describe the measurements of objects

  • Understand that measurement is accomplished by identifying a unit of measure and comparing it to the item to be measured

  • Identify and describe the elements that compose common figures in the plane and common objects in space

  • Choose appropriate units and measurement tools to quantify the properties of objects

  • Understand perimeter, area, and volume of objects and measure in English and Metric units

Performance Indicators

2.K.1 Identify and describe verbally, and draw common geometric objects (e.g., circle, triangle, square, rectangle, cone, cube, sphere).

2.K.2 Sort, compare and classify objects by common attributes (e.g., shorter/longer/taller, lighter/heavier, which holds more, roundness, size, shape).

2.K.3 Name the days of the week

2.K.4 Demonstrate an understanding of the concept of time (e.g., morning, afternoon, evening, lunchtime, bedtime, today, yesterday, tomorrow, week, year).

2.K.5 Recognize and describe patterns in the environment.

2.K.6 Recognize and create repeating or increasing patterns.

CONTENT STANDARD 3

3. Algebra

Students will:

  • Sort and classify objects

  • Use number sentences to solve problems

  • Model, represent, and interpret number relationships to create and solve problems involving addition and subtraction

  • Select appropriate symbols, operations and properties to represent, describe, simplify, and solve problems involving number relationships

  • Use and interpret variables, mathematical symbols and properties to write and simplify expressions and equations, compute the value or values of a specific variable, and plot and interpret the results

Performance Indicator

3.K.1 Identify and sort objects that belong to particular groupings (e.g. color, size, number of edges).

CONTENT STANDARD 4

4. Probability and Statistics

Students will:

  • Collect information about objects and events in the environment

  • Organize, represent, compare, and interpret categorical data on simple graphs and charts and communicate their findings

  • Collect, record, organize, display, and interpret numerical data on bar graphs, and other representations

  • Display, analyze, compare and interpret different data sets, including data sets that are not the same size

  • Demonstrate an understanding of patterns and how they grow, and describe them in general ways

  • Conduct simple probability experiments by determining the number of possible outcomes, and make simple predictions

Performance Indicator

4.K.1 Collect data and discuss ways to organize the data.

CONTENT STANDARD 5

5. Problem Solving and Reasoning

Students will:

  • Make decisions about how to set up a problem, justify their reasoning, and make connections between problems

  • Use strategies, skills and concepts to make decisions about how to approach problems, find solutions, and make generalizations to other situations

Performance Indicators

5.K.1 Model, describe and illustrate a word problem.

5.K.2 State a reasonable way to solve a problem.

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