Nevada State Standards for Mathematics: Kindergarten

NV.A. Problem Solving: Students will develop their ability to solve problems by engaging in developmentally appropriate opportunities where there is a need to use various approaches to investigate and understand mathematical concepts in order to: formulate their own problems; find solutions to problems from everyday situations; develop and apply strategies to solve a variety of problems; and integrate mathematical reasoning, communication and connections.

A.1. Apply previous experience and knowledge to new problem solving situations.

A.2. Explain and verify results with respect to the original problem.

A.3. Try more than one strategy when the first strategy proves to be unproductive.

A.4. Use technology, including calculators, to develop mathematical concepts.

NV.B. Mathematical Communication: Students will develop their ability to communicate mathematically by solving problems where there is a need to obtain information from the real world through reading, listening, and observing in order to: translate information into mathematical language and symbols; process information mathematically; present results in written, oral, and visual formats; discuss and exchange ideas about mathematics as a part of learning; read a variety of fiction and nonfiction texts to learn about mathematics; and use mathematical notation to communicate and explain problems.

B.1. Use inquiry techniques to solve mathematical problems.

B.2. Use physical materials, models, pictures, or writing to represent and communicate mathematical ideas.

B.3. Identify and translate key words and phrases that imply mathematical operations.

B.4. Use everyday language, both orally and in writing, to communicate strategies and solutions to mathematical problems.

NV.C. Mathematical Reasoning: Students will develop their ability to reason mathematically by solving problems where there is a need to investigate mathematical ideas and construct their own learning in all content areas in order to: reinforce and extend their logical reasoning abilities; reflect on, clarify, and justify their thinking; ask questions to extend their thinking; use patterns and relationships to analyze mathematical situations; and determine relevant, irrelevant, and/or sufficient information to solve mathematical problems.

C.1. Draw logical conclusions about mathematical problems.

C.2. Discuss the steps used to solve a mathematical problem.

C.3. Justify and explain the solutions to problems using physical models.

NV.D. Mathematical Connections: Students will develop the ability to make mathematical connections by solving problems where there is a need to view mathematics as an integrated whole in order to: link new concepts to prior knowledge; identify relationships between content strands; integrate mathematics with other disciplines; and allow the flexibility to approach problems in a variety of ways within and beyond the field of mathematics.

D.1. Apply mathematical thinking and modeling to solve problems that arise in other disciplines, such as rhythm in music and motion in science.

D.2. Identify mathematics used in everyday life.

NV.1.0. Numbers, Number Sense, and Computation: Students will accurately calculate and use estimation techniques, number relationships, operation rules, and algorithms; they will determine the reasonableness of answers and the accuracy of solutions to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

1.K.3 Comparison and Ordering

1.K.3.a. Recognize, read, and write numbers from 0 - 10.

1.K.3.b. Identify ordinal positions first to third.

1.K.3.c. Match the number of objects in a set to the correct numeral 0 - 10.

1.K.3.d. Recognize relationships of more than, less than, and equal to.

1.K.4 Counting

1.K.4.a. Count to 20 by demonstrating one-to-one correspondence using objects.

1.K.5 Facts

1.K.5.a. Use concrete objects to model simple addition and subtraction.

NV.2.0. Patterns, Functions, and Algebra: Students will use various algebraic methods to analyze, illustrate, extend, and create numerous representations (words, numbers, tables, and graphs) of patterns, functions, and algebraic relations as modeled in practical situations to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

2.K.1 Patterns

2.K.1.a. Identify attributes used to sort objects.

2.K.3 Number Sentences, Expressions, and Polynomials

2.K.3.a. Identify and create sets of objects with unequal amounts, describing them as greater than or less than.

NV.3.0. Measurement: Students will use appropriate tools and techniques of measurement to determine, estimate, record, and verify direct and indirect measurements to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

3.K.1 Comparison, Estimation, and Conversion

3.K.1.a. Compare, order, and describe objects by size.

3.K.4 Money

3.K.4.a. Identify and sort pennies, nickels, and dimes.

3.K.6 Time

3.K.6.a. Recite in order the days of the week.

NV.4.0. Spatial Relationships, Geometry, and Logic: Students will identify, represent, verify, and apply spatial relationships and geometric properties to solve problems, communicate, and make connections within and beyond the field of mathematics.

4.K.1 Two-Dimensional Shapes

4.K.1.a. Identify two-dimensional shapes (circles, triangles, rectangles including squares) regardless of orientation.

4.K.2 Congruence, Similarity, and Transformations

4.K.2.a. Demonstrate an understanding of relative position words, including before/after, far/near, and over/under, to place objects.

4.K.3 Coordinate Geometry and Lines of Symmetry

4.K.3.a. Identify two-dimensional figures (windows are shaped like rectangles) as they appear in the environment.

4.K.4 Three-Dimensional Figures

4.K.4.a. Identify three-dimensional figures in the environment.

4.K.9 Logic

4.K.9.a. Sort and classify objects by color and shape.

4.K.9.b. Put events in a logical sequence.

NV.5.0. Data Analysis: Students will collect, organize, display, interpret, and analyze data to determine statistical relationships and probability projections to solve problems, communicate, reason, and make connections within and beyond the field of mathematics.

5.K.1 Data Collection and Organization

5.K.1.a. Collect, organize, and record data using objects and pictures.

5.K.1.b. Represent data in a variety of ways in response to questions posed by teachers.