At the last DOE Mathematics Task Force meeting, the afternoon was spent with subcommittees generating list of the most important standards in each grades. In other words, time was spent generating lists of focus topics. NCTM spent over one year doing this! The NCTM Focal points has received positive reviews by many factions. They are listed below.
Number and Operations: Developing an understanding of whole numbers, including concepts of correspondence, counting, cardinality, and comparison.
Geometry: Identifying shapes and describing spatial relationships.
Measurement: Identifying measurable attributes and comparing objects by using these attributes.
Kindergarten Curriculum Focal Points
Number and Operations: Representing, comparing, and ordering whole numbers and joining and separating sets
Geometry: Describing shapes and space
Measurement: Ordering objects by measurable attributes
Grade 1 Curriculum Focal Points
Number and Operations and Algebra: Developing understandings of addition and subtraction and strategies for basic addition facts and related subtraction facts.
Number and Operations: Developing an understanding of whole number relationships, including grouping in tens and ones.
Geometry: Composing and decomposing geometric shapes.
Grade 2 Curriculum Focal Points
Number and Operations: Developing an understanding of the base-ten numeration system and place-value concepts.
Number and Operations and Algebra: Developing quick recall of addition facts and related subtraction facts and fluency with multidigit addition and subtraction.
Measurement: Developing an understanding of linear measurement and facility in measuring lengths.
Grade 3 Curriculum Focal Points
Number and Operations and Algebra: Developing understandings of multiplication and division and strategies for basic multiplication facts and related division facts.
Number and Operations: Developing an understanding of fractions and fraction equivalence.
Geometry: Describing and analyzing properties of two-dimensional shapes.
Grade 4 Curriculum Focal Points
Number and Operations and Algebra: Developing quick recall of multiplication facts and related division facts and fluency with whole number multiplication.
Number and Operations: Developing an understanding of decimals, including the connections between fractions and decimals.
Measurement: Developing an understanding of area and determining the areas of two-dimensional shapes.
Grade 5 Curriculum Focal Points
Number and Operations and Algebra: Developing an understanding of and fluency with division of whole numbers.
Number and Operations: Developing an understanding of and fluency with addition and subtraction of fractions and decimals.
Geometry and Measurement and Algebra: Describing three-dimensional shapes and analyzing their properties, including volume and surface area.
Grade 6 Curriculum Focal Points
Number and Operations: Developing an understanding of and fluency with multiplication and division of fractions and decimals.
Number and Operations: Connecting ratio and rate to multiplication and division.
Algebra: Writing, interpreting, and using mathematical expressions and equations.
Grade 7 Curriculum Focal Points
Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity.
Measurement and Geometry and Algebra: Developing an understanding of and using formulas to determine surface areas and volumes of three-dimensional shapes.
Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations.
Grade 8 Curriculum Focal Points
Algebra: Analyzing and representing linear functions and solving linear equations and systems of linear equations.
Geometry and Measurement: Analyzing two- and three-dimensional space and figures by using distance and angle.
Data Analysis and Number and Operations and Algebra: Analyzing and summarizing data sets.
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