South Dakota State Standards for Mathematics: Grade 2

SD.2.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

2.A.1. Use procedures to transform algebraic expressions.

2.A.1.1. Note: Second grade students do not master standards for Indicator 1. Mastery of this indicator emerges and increases from grade 3 upward.

2.A.2. Use a variety of algebraic concepts and methods to solve equations and inequalities.

2.A.2.1. Comprehension: Students are able to use concepts of equal to, greater than, and less than to compare numbers (0-100).

2.A.2.1.a. For numbers 0 - 100, identify 10 more/10 less.

2.A.2.1.b. Write the words less than or greater than between two numbers.

2.A.2.1.c. Identify the number that is greater than/less than.

2.A.2.2. Application: Students are able to solve open addition and subtraction sentences with one unknown using numbers equal to or less than 20.

2.A.2.3. Application: Students are able to balance simple addition and subtraction equations using sums up to 20.

2.A.2.3.a. Use a pan balance and cubes to visually balance equations.

2.A.2.3.b. Describe strategies used in adding and subtracting.

2.A.2.3.c. Use the commutative property to solve related equations.

2.A.3. Interpret and develop mathematical models.

2.A.3.1. Application: Students are able to write and solve number sentences from word problems.

2.A.4. Describe and apply the properties and behaviors of relations, functions and inverses.

2.A.4.1. Comprehension: Students are able to find and extend growing patterns using symbols, objects, and numbers.

2.A.4.1.a. Identify even and odd numbers.

2.A.4.1.b. Recognize and extend basic number patterns using a 0-99 or 1-100 charts.

2.A.4.2. Comprehension: Students are able to determine likenesses and differences between sets.

SD.2.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

2.G.1. Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

2.G.1.1. Comprehension: Students are able to use the terms side and vertex (corners) to identify plane and solid figures.

2.G.2. Use properties of geometric figures to solve problems from a variety of perspectives.

2.G.2.1. Knowledge: Students are able to identify geometric figures regardless of position and orientation in space.

SD.2.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

2.M.1. Apply measurement concepts in practical applications.

2.M.1.1. Knowledge: Students are able to tell time to the minute using digital and analog clocks and relate time to daily events.

2.M.1.2. Application: Students are able to use the calendar to solve problems.

2.M.1.3. Application: Students are able to determine the value of a collection of like and unlike coins with a value up to $1.00.

2.M.1.4. Knowledge: Students are able to represent and write the value of money using the 'cent' sign and in decimal form using the 'dollar' sign.

2.M.1.5. Comprehension: Students are able to use whole number approximations for capacity using non-standard units of measure.

2.M.1.6. Comprehension: Students are able to solve everyday problems by measuring length to the nearest inch or foot.

2.M.1.7. Application: Students are able to locate and name concrete objects that are about the same length, height, weight, capacity, and temperature as a given concrete object.

SD.2.N. Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

2.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

2.N.1.1. Comprehension: Students are able to read, write, count, and sequence numerals to 100.

2.N.1.1.a. Say the forward and backward number word sequences in the range 0-100.

2.N.1.1.b. Say the number before and after a given number in the range 0-100.

2.N.1.1.c. Say the forward and backward skip counting sequences in the range 0-100 for twos, fives, and tens.

2.N.1.1.d. Use one-to-one correspondence.

2.N.1.1.e. Keep track of what's been counted.

2.N.1.1.f. Count objects by groups of twos, fives and tens to 100.

2.N.1.1.g. Associate verbal names, written word names, and standard numerals with whole numbers to 100.

2.N.1.1.h. Use words, models, and expanded notation to structure numbers as tens and ones to 100.

2.N.1.2. Comprehension: Students are able to identify and represent fractions as parts of a group.

2.N.2. Apply number operations with real numbers and other number systems.

2.N.2.1. Application: Students are able to solve two-digit addition and subtraction problems written in horizontal and vertical formats using a variety of strategies.

2.N.3. Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

2.N.3.1. Application: Students are able to solve addition and subtraction problems up to 100 in context.

2.N.3.1.a. Represent problem situations and solve using concrete objects, pictures, numbers, tables, or charts.

2.N.3.1.b. Explain the strategies used to arrive at a solution to a problem.

2.N.3.1.c. Select appropriate operation(s).

2.N.3.1.d. Estimate to determine if a given answer is reasonable.

SD.2.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

2.S.1. Use statistical models to gather, analyze, and display data to draw conclusions.

2.S.1.1. Comprehension: Students are able to use interviews, surveys, and observations to gather data.

2.S.1.2. Application: Students are able to represent data sets in more than one way.

2.S.1.3. Comprehension: Students are able to answer questions about and generate explanations of data given in tables and graphs.

2.S.1.3.a. Explore features of data sets.

2.S.2. Apply the concepts of probability to predict events/outcomes and solve problems.

2.S.2.1. Application: Students are able to list possible outcomes of a simple event and make predictions about which outcome is more or less likely to occur.