South Dakota State Standards for Mathematics: Grade 1

SD.1.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

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

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

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

1.A.2.1. Comprehension: Students are able to use the concepts and language of more, less, and equal (greater than and less than) to compare numbers and sets (0 to 20).

1.A.2.1.a. For numbers 0 - 20, identify one more/one less.

1.A.2.1.b. Write the words less than or more than between two numbers.

1.A.2.1.c. Identify a number that is more than/less than a given number.

1.A.2.2. Application: Students are able to solve open addition and subtraction sentences with one unknown using numbers equal to or less than 10.

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

1.A.3.1. Application: Students are able to write number sentences from problem situations using '+' or '-', and '=' with numbers to ten.

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

1.A.4.1. Comprehension: Students are able to identify and extend repeating patterns containing multiple elements using objects and pictures.

1.A.4.1.a. Describe or demonstrate the next element in repeating patterns, e.g., rhythm, color, and shape.

1.A.4.1.b. Find patterns or relations in data organized in tables or charts to determine what should come next.

1.A.4.2. Comprehension: Students are able to determine common attributes in a given group and identify those objects that do not belong.

SD.1.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

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

1.G.1.1. Comprehension: Students are able to describe characteristics of plane figures.

1.G.1.2. Comprehension: Students are able to sort basic three-dimensional figures.

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

1.G.2.1. Comprehension: Students are able to describe proximity of objects in space.

SD.1.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

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

1.M.1.1. Knowledge: Students are able to tell time to the half-hour using digital and analog clocks and order a sequence of events with respect to time.

1.M.1.2. Application: Find a date on the calendar.

1.M.1.3. Application: Students are able to use different combinations of pennies, nickels, and dimes to represent money amounts to 25 cents.

1.M.1.3.a. State the value of pennies, nickels, and dimes using money models and pictures.

1.M.1.4. Comprehension: Students are able to estimate weight using non-standard units of measure.

1.M.1.5. Knowledge: Students are able to identify appropriate measuring tools for length, weight, capacity, and temperature.

1.M.1.6. Comprehension: Students are able to compare and order concrete objects by temperature and capacity.

SD.1.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.

1.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.

1.N.1.1. Comprehension: Students are able to read, write, count, and order numerals to 50.

1.N.1.1.a. Say the forward and backward number word sequences in the range 0-50.

1.N.1.1.b. Say the number before and after a given number in the range 0-50.

1.N.1.1.c. Use one-to-one correspondence.

1.N.1.1.d. Keep track of what's been counted.

1.N.1.1.e. Associate verbal names and standard numerals with whole numbers to 50.

1.N.1.1.f. Count objects in a given set and write the corresponding numeral.

1.N.1.1.g. Identify ordinal positions using an ordered set of objects, 1st through 20th.

1.N.1.2. Knowledge: Students are able to use unit fraction models to create parts of a whole.

1.N.1.2.a. Determine ways in which shapes can be divided into equal pieces, i.e., fractional portions of fourths, halves, and thirds.

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

1.N.2.1. Application: Students are able to solve addition and subtraction problems with numbers 0 to 20 written in horizontal and vertical formats using a variety of strategies.

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

1.N.3.1. Application: Students are able to solve addition and subtraction problems up to 20 in context.

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

1.N.3.1.b. Explain how one arrives at solutions to problems.

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

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

SD.1.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

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

1.S.1.1. Application: Students are able to display data in simple picture graphs with units of one and bar graphs with intervals of one.

1.S.1.2. Comprehension: Students are able to answer questions from organized data.

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

1.S.2.1. Comprehension: Students are able to recognize whether the outcome of a simple event is possible or impossible.