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STEM.M.MATHEMATICS: National Council of Teachers of Mathematics (NCTM)
MATHEMATICS: National Council of Teachers of Mathematics (NCTM)
NCTM.1. Number and Operations
1.1. Understand numbers, ways of representing numbers, relationships among numbers, and number systems.
1.1.1. Understand the place-value structure of the base-ten number system and be able to represent and compare whole numbers and decimals.
1.1.3. Develop understanding of fractions as parts of unit wholes, as parts of a collection, as locations on number lines, and as divisions of whole numbers.
1.3. Compute fluently and make reasonable estimates.
1.3.1. Develop fluency with basic number combinations for multiplication and division and use these combinations to mentally compute related problems, such as 30 x 50.
1.3.6. Select appropriate methods and tools for computing with whole numbers from among mental computation, estimation, calculators, and paper and pencil according to the context and nature of the computation and use the selected method or tools.
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideMultiplication
Quiz, Flash Cards, Worksheet, Game & Study GuideOdd/Even
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
NCTM.11. Grade 5 Curriculum Focal Points
11.1. Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers
11.1.1. Students apply their understanding of models for division, place value, properties, and the relationship of division to multiplication as they develop, discuss, and use efficient, accurate, and generalizable procedures to find quotients involving multi-di
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
11.2. Number and Operations: Developing an understanding of and fluency with addition and subtraction of fractions and decimals
11.2.1. Students apply their understandings of fractions and fraction models to represent the addition and subtraction of fractions with unlike denominators as equivalent calculations with like denominators. They apply their understandings of decimal models, plac
Quiz, Flash Cards, Worksheet, Game & Study GuideAdding Fractions
Quiz, Flash Cards, Worksheet, Game & Study GuideEstimation
11.3. Geometry and Measurement and Algebra: Describing three-dimensional shapes and analyzing their properties, including volume and surface area
11.3.1. Students relate two-dimensional shapes to three-dimensional shapes and analyze properties of polyhedral solids, describing them by the number of edges, faces, or vertices as well as the types of faces. Students recognize volume as an attribute of three-di
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Quiz, Flash Cards, Worksheet, Game & Study GuideMeasurement
Quiz, Flash Cards, Worksheet, Game & Study GuideUnits of Measure
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
NCTM.12. Connections to the Grade 5 Focal Points
12.1. Algebra: Students use patterns, models, and relationships as contexts for writing and solving simple equations and inequalities. They create graphs of simple equations. They explore prime and composite numbers and discover concepts related to the addition
12.2. Measurement: Students'' experiences connect their work with solids and volume to their earlier work with capacity and weight or mass. They solve problems that require attention to both approximation and precision of measurement.
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
12.3. Data Analysis: Students apply their understanding of whole numbers, fractions, and decimals as they construct and analyze double-bar and line graphs and use ordered pairs on coordinate grids.
12.4. Number and Operations: Building on their work in grade 4, students extend their understanding of place value to numbers through millions and millionths in various contexts. They apply what they know about multiplication of whole numbers to larger numbers.
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
2.4. Analyze change in various contexts.
2.4.2. Identify and describe situations with constant or varying rates of change and compare them.
Quiz, Flash Cards, Worksheet, Game & Study GuideNumber Patterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
NCTM.3. Geometry
3.1. Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.
3.1.1. Identify, compare, and analyze attributes of two- and three-dimensional shapes and develop vocabulary to describe the attributes.
Quiz, Flash Cards, Worksheet, Game & Study GuideShapes
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
3.1.2. Classify two- and three-dimensional shapes according to their properties and develop definitions of classes of shapes such as triangles and pyramids.
Quiz, Flash Cards, Worksheet, Game & Study GuidePerimeter
Quiz, Flash Cards, Worksheet, Game & Study GuidePerimeter
Quiz, Flash Cards, Worksheet, Game & Study GuidePerimeter
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume
Quiz, Flash Cards, Worksheet, Game & Study GuideVolume/Capacity
3.4.6. Recognize geometric ideas and relationships and apply them to other disciplines and to problems that arise in the classroom or in everyday life.
Quiz, Flash Cards, Worksheet, Game & Study GuideShapes
NCTM.4. Measurement
4.1. Understand measurable attributes of objects and the units, systems, and processes of measurement.
4.1.1. Understand such attributes as length, area, weight, volume, and size of angle and select the appropriate type of unit for measuring each attribute.
Quiz, Flash Cards, Worksheet, Game & Study GuideData Analysis
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
Quiz, Flash Cards, Worksheet, Game & Study GuideStatistics
5.3. Develop and evaluate inferences and predictions that are based on data.
5.3.1. Propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions.