- Performance Standard
- GOAL 3: Students in Missouri public schools will acquire the knowledge and skills to recognize and solve problems.
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations

- The learner will be able to identify place value in whole numbers and decimals.
- The learner will be able to apply place value concepts in the reading, writing, comparison, and/or ordering of whole numbers up through the billions place.
- The learner will be able to make estimations and/or round-off to obtain problem solutions where exact results are not necessary.
- The learner will be able to round numbers to the desired degree of accuracy.
- The learner will be able to understand and apply place value concepts when reading, writing, calculating, and estimating numbers.

- Performance Standard
- GOAL 3: Students in Missouri public schools will acquire the knowledge and skills to recognize and solve problems.
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations

- The learner will be able to identify and/or obtain solutions to problems involving addition and/or subtraction of whole numbers and/or decimals.
- The learner will be able to display addition and/or subtraction skills through the use of pictures, words, and/or numbers.

- Performance Standard
- GOAL 3: Students in Missouri public schools will acquire the knowledge and skills to recognize and solve problems.
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of addition, subtraction, multiplication and division; other number sense, including numeration and estimation; and the application of these operations and concepts in the workplace and other situations

- The learner will be able to identify and/or obtain solutions to problems involving addition and/or subtraction of whole numbers and/or decimals.
- The learner will be able to display addition and/or subtraction skills through the use of pictures, words, and/or numbers.

- Performance Standard
- Knowledge Standards

- The learner will be able to identify and/or solve problems involving multiplication and/or division facts mastered, introduction of double digit computation.
- The learner will be able to multiply a one- to three-digit number by a one- or two-digit number.
- The learner will be able to determine divisibility, multiples, and common factors, including a least and greatest common factor.

- Performance Standard
- Knowledge Standards

- The learner will be able to determine divisibility, multiples, and common factors, including a least and greatest common factor.
- The learner will be able to identify and/or solve problems involving multiplication and/or division facts mastered, introduction of double digit computation.
- The learner will be able to identify the prime factorization of a number.

- Performance Standard
- Knowledge Standards

- The learner will be able to perform computations in the context of given problems.
- The learner will be able to obtain problem solutions through the application of addition, subtraction, multiplication, and/or division of whole numbers.
- The learner will be able to demonstrate an understanding of the properties of various operations.

- Performance Standard
- Knowledge Standards

- The learner will be able to use the procedures of operations to obtain problem solutions.
- The learner will be able to obtain solutions to real world problems that involve computations.
- The learner will be able to use elementary operations in problem solving scenarios that may contain whole numbers, decimals, fractions, mixed numbers, and money.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of mathematical systems (including real numbers, whole numbers, integers, fractions), geometry, and number theory (including primes, factors, multiples)

- The learner will be able to demonstrate and/or record the addition and subtraction of fractions (with like denominators) in the context of solving problems.
- The learner will be able to create fractions of equal value through using physical and/or pictorial models, if necessary.
- The learner will be able to obtain problem solutions through the application of addition, subtraction, multiplication, and/or division of fractions and decimals.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of mathematical systems (including real numbers, whole numbers, integers, fractions), geometry, and number theory (including primes, factors, multiples)

- The learner will be able to make connections between fractions and decimals (that reference tenths, hundredths, and/or thousandths) through the use of models.
- The learner will be able to use physical models and/or apply place value concepts to read, write, compare, and/or order decimals (that may include money amounts) through tenths, hundredths or thousandths.
- The learner will be able to identify and/or obtain solutions to problems involving addition and/or subtraction of whole numbers and/or decimals.
- The learner will be able to obtain problem solutions through the application of addition, subtraction, multiplication, and/or division of fractions and decimals.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of mathematical systems (including real numbers, whole numbers, integers, fractions), geometry, and number theory (including primes, factors, multiples)

- The learner will be able to identify geometric attributes used for classification of figures.
- The learner will be able to recognize the critical characteristics of geometric shapes and solids, such as parallel, perpendicular, and/or congruent parts.
- The learner will be able to display comprehension of spatial relationship and geometry through the visualization and recognition of various objects (2D and 3D), by sorting different shapes, identifying symmetry, applying transformations and formulas, and through the evaluation of the characteristics of various figures.
- The learner will be able to classify figures by congruence and/or similarity.
- The learner will be able to use suitable concepts and procedures of spatial reasoning/understanding.
- The learner will be able to understand and/or apply geometric patterns.
- The learner will be able to recognize the ordered pair of a point and locate it in the first quadrant.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of patterns and relationships within and among functions and algebraic, geometric and trigonometric concepts

- The learner will be able to display comprehension of the properties and/or relationships of operations.
- The learner will be able to understand algebraic procedures.
- The learner will be able to use algebraic methods to solve mathematical problems.
- The learner will be able to understand the basic concept of a variable as representing an unknown quantity in an equation.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of geometric and spatial sense involving measurement (including length, area, volume), trigonometry, and similarity and transformations of shapes

- The learner will be able to describe the relationship that exists among units within the same system, such as a foot being one-third of a yard.
- The learner will be able to choose the appropriate tools and units of measurement necessary to find accurate measurements given a specific situation.
- The learner will be able to solve problems involving measurement concepts.
- The learner will be able to accurately read the appropriate scale on a ruler.
- The learner will be able to accurately convert, within a measurement system, from one unit to another.

- Performance Standard
- Knowledge Standards
- In Mathematics, students in Missouri public schools will acquire a solid foundation which includes knowledge of data analysis, probability and statistics

- The learner will be able to describe information given in graphical formats, such as bar graphs, pictographs, etc.
- The learner will be able to use one-dimensional graphs to display numerical relationships.
- The learner will be able to make evaluations of conclusions and/or conjectures that may be drawn from a set of data.
- The learner will be able to use methods of data analysis to solve problems.
- The learner will be able to interpret given data.
- The learner will be able to create, read, and interpret multiple representations, such as tables, charts, and graphs of data.
- The learner will be able to apply the concepts of mean, median, mode, and/or range to make descriptions of data, justifying their actions, if necessary.