kitchen table math, the sequel: Math Panel: Essential Concepts and Skills K-8

## Wednesday, January 31, 2007

### Math Panel: Essential Concepts and Skills K-8

Essential Concepts and Skills Prekindergarten through Grade Eight

Number and Operations

Understand whole numbers, including concepts of correspondence, counting, cardinality, and comparison;
Develop place value concepts and an understanding of multiple decompositions of numbers;
Represent, compare, and order whole numbers and join and separate sets;
Understand addition and subtraction and strategies for basic addition facts and related subtraction facts;
Develop automaticity of addition facts and related subtraction facts and fluency with multidigit addition and subtraction.
Understand multiplication and division, and strategies for basic multiplication facts and related division facts;
Develop automaticity of multiplication facts and related division facts and fluency with the multiplication and division of whole numbers;
Understand decimals as special classes of fractions, fraction and decimal equivalence and connections between fractions, decimals and common percents;
Develop an understanding of and fluency with operations on all rational numbers (i.e. addition, subtraction, multiplication and division of fractions and decimals, negative integers).
Define ratio and rate in terms of multiplication and division
Develop an understanding of and apply proportionality, including similarity

Algebra
Write, interpret, and use mathematical expressions and equations
Analyze and represent linear functions and solve linear equations and systems of linear equations

Geometry and Measurement
Identify and describe shapes and spatial relationships and compose and decompose geometric shapes;
Identify measurable attributes and compare and order objects by using these attributes;
Develop an understanding of linear measurement and facility in measuring lengths.
Describe two-dimensional shapes and analyze their properties, including perimeter and area and understand and use these formulas;
Describe three-dimensional shapes and analyze their properties, including volume and surface area and understand and use these formulas
Analyze two- and three-dimensional space and figures by using distance and angle.

Data Analysis and Probability
Analyze and summarize data sets using descriptive statistics (mean, median, mode, and range)
Use theoretical and experimental probability

The ... topical lists were derived through careful analysis of state curricular standards in this country and also included review of the American Diploma Project Benchmarks and K-8 Benchmarks (Achieve, 2004, 2006), the intended math curricula for Japan, Korea, Flemish-Belgium, Singapore, Chinese Tapei, the work of William Schmidt with TIMSS and beyond (2002) and the recent work of the National Council of Teachers of Mathematics (2006).
I gather this is to be considered a sequential list.