South Dakota State Standards for Mathematics: Grade 3

SD.3.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

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

3.A.1.1. Comprehension: Students are able to explain the relationship between repeated addition and multiplication.

3.A.1.2. Knowledge: Students are able to identify special properties of 0 and 1 with respect to arithmetic operations (addition, subtraction, multiplication).

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

3.A.2.1. Comprehension: Students are able to select appropriate relational symbols (<, >, =) to compare numbers.

3.A.2.2. Application: Students are able to solve problems involving addition and subtraction of whole numbers.

3.A.2.2.a. Use concrete materials to model and solve equations (hands-on).

3.A.2.2.b. Represent given problem situations using diagrams, models, and symbolic expressions.

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

3.A.3.1. Application: Students are able to use the relationship between multiplication and division to compute and check results.

3.A.4. Describe and use the properties and behaviors of relations, functions, and inverses.

3.A.4.1. Comprehension: Students are able to extend linear patterns.

3.A.4.2. Application: Students are able to use number patterns and relationships to learn basic facts.

SD.3.G. Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

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

3.G.1.1. Comprehension: Students are able to recognize and compare the following plane and solid geometric figures: square, rectangle, triangle, cube, sphere, and cylinder.

3.G.1.2. Knowledge: Students are able to identify points, lines, line segments, and rays.

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

3.G.2.1. Comprehension: Students are able to demonstrate relationships between figures using similarity and congruence.

SD.3.M. Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

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

3.M.1.1. Knowledge: Students are able to read and tell time before and after the hour within five-minute intervals on an analog clock.

3.M.1.2. Application: Students are able to count, compare, and solve problems using a collection of coins and bills.

3.M.1.3. Knowledge: Students are able to identify U.S. Customary units of length (feet), weight (pounds), and capacity (gallons).

3.M.1.4. Application: Students are able to select appropriate units to measure length (inch, foot, mile, yard); weight (ounces, pounds, tons); and capacity (cups, pints, quarts, gallons).

3.M.1.5. Knowledge: Students are able to measure length to the nearest 1/2 inch.

SD.3.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.

3.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.

3.N.1.1. Comprehension: Students are able to place in order and compare whole numbers less than 10,000, using appropriate words and symbols.

3.N.1.2. Comprehension: Students are able to find multiples of whole numbers 2, 5, and 10.

3.N.1.3. Knowledge: Students are able to name and write fractions from visual representations.

3.N.1.3.a. Recognize that fractions and decimals are parts of a whole.

3.N.2. Apply operations within the set of real numbers.

3.N.2.1. Application: Students are able to add and subtract whole numbers up to three digits and multiply two digits by one digit.

3.N.2.1.a. Recall multiplication facts through the tens.

3.N.3. Develop conjectures, predictions, or estimations in the process of problem solving and verify or justify the results.

3.N.3.1. Application: Students are able to round two-digit whole numbers to the nearest tens, and three-digit whole numbers to the nearest hundreds.

SD.3.S. Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

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

3.S.1.1. Application: Students are able to ask and answer questions from data represented in bar graphs, pictographs and tally charts.

3.S.1.2. Application: Students are able to gather data and use the information to complete a scaled and labeled graph.

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

3.S.2.1. Comprehension: Students are able to describe events as certain or impossible.