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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 GuideRegrouping
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
NCTM.11. Grade 4 Curriculum Focal Points
11.1. Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication
11.1.1. Students use understandings of multiplication to develop quick recall of the basic multiplication facts and related division facts. They apply their understanding of models for multiplication (i.e., equal-sized groups, arrays, area models, equal intervals
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
11.2. Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals
11.2.1. Students understand decimal notation as an extension of the base-ten system of writing whole numbers that is useful for representing more numbers, including numbers between 0 and 1, between 1 and 2, and so on. Students relate their understanding of fracti
Quiz, Flash Cards, Worksheet, Game & Study GuidePercents
11.3. Measurement: Developing an understanding of area and determining the areas of two-dimensional shapes
11.3.1. Students recognize area as an attribute of two-dimensional regions. They learn that they can quantify area by finding the total number of same-sized units of area that cover the shape without gaps or overlaps. They understand that a square that is 1 unit
12.1. Algebra: Students continue identifying, describing, and extending numeric patterns involving all operations and nonnumeric growing or repeating patterns. Through these experiences, they develop an understanding of the use of a rule to describe a sequence
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
Quiz, Flash Cards, Worksheet, Game & Study GuidePatterns
12.2. Geometry: Students extend their understanding of properties of two-dimensional shapes as they find the areas of polygons. They build on their earlier work with symmetry and congruence in grade 3 to encompass transformations, including those that produce l
Quiz, Flash Cards, Worksheet, Game & Study GuideAngles
Quiz, Flash Cards, Worksheet, Game & Study GuideLines and Angles
12.4. Data Analysis: Students continue to use tools from grade 3, solving problems by making frequency tables, bar graphs, picture graphs, and line plots. They apply their understanding of place value to develop and use stem-and-leaf plots.
12.5. Number and Operations: Building on their work in grade 3, students extend their understanding of place value and ways of representing numbers to 100,000 in various contexts. They use estimation in determining the relative sizes of amounts or distances. St
Quiz, Flash Cards, Worksheet, Game & Study GuideWord Problems
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 GuidePatterns
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 GuideShapes
Quiz, Flash Cards, Worksheet, Game & Study GuideSolids and Faces
Quiz, Flash Cards, Worksheet, Game & Study GuideSymmetry
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/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 GuideCongruent Shapes
Quiz, Flash Cards, Worksheet, Game & Study GuideShapes
Quiz, Flash Cards, Worksheet, Game & Study GuideShapes
Quiz, Flash Cards, Worksheet, Game & Study GuideSolids and Faces
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
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.