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5th Grade Math |
| Number & Operations |
- Number Theory
- Division of whole numbers
- Multiply and divide whole numbers
- Prime factorizations of whole numbers
- Meaning of decimal fractions and percentages
- Fractions as division statements; equivalent fractions
- Multiplication and division of fractions
- Addition and subtraction of fractions using common denominators
- Multiplication and division by powers of ten
- Applied problems with fractions
- Express, interpret, and use ratios; find equivalences
- Meaning and applications of mathematical operations
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| Measurement |
- Know, and convert among, measurement units within a given system
- Read customary and metric measurement units
- Areas of geometric shapes using formulas
- Concept of volume
- Equivalent Measurement
- Measurement Units
- Use Measurement Techniques and Tools
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| Geometry |
- Meaning of angles, and solve problems
- Solve problems about geometric shapes
- Geometric Figures and Their Properties – The student recognizes geometric shapes
and compares their properties in a variety of situations
- Solid geometric Figures
- Measurement and Estimation – The student estimates, measures, and uses measurement formulas in a variety of situations.
- Transformational Geometry – The student recognizes and performs transformations on
geometric shapes including the use of concrete objects in a variety of
situations.
- Geometry From An Algebraic Perspective –
The student relates geometric concepts to a number line and the first
quadrant of a coordinate plane in a variety of situations.
- Characteristics and Properties of Geometrical figures
- Visualization and Geometric Models
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| Statistics And Probability |
- Data Analysis and Graphs
- Find and interpret mean and mode for a given set of data
- Probability – The student applies the concepts of probability to draw conclusions
and to make predictions and decisions including the use of concrete objects in a variety of situations.
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| Algebra |
- Patterns – The student recognizes, describes, extends, develops, and explains
relationships in patterns in a variety of situations.
- Variables, Equations, and Inequalities – The student uses variables,
symbols, whole numbers, and algebraic expressions in one variable to
solve linear equations in a variety of situations.
- Functions – The student recognizes, describes, and examines whole number
relationships in a variety of situations.
- Models – The student develops and uses mathematical models including
the use of concrete objects to represent and explain mathematical
relationships in a variety of situations
- Analyze Change
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| Processes Of Mathematics |
- Problem Solving: Apply a variety of concepts, processes, and skills to solve problems
- Reasoning: Justify ideas or solutions with mathematical concepts or proofs
- Communication: Present mathematical ideas using words, symbols, visual displays, or technology
- Connections: Relate or apply mathematics within the discipline, to other disciplines, and to life
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