Virginia Department of Education K-12 Mathematics Standards of Learning SOL Training Institutes October 2009 Michael Bolling Mathematics Coordinator Dr

Virginia Department of EducationK-12 Mathematics Standards of

LearningSOL Training Institutes

October 2009

Michael Bolling Mathematics Coordinator

Dr. Deborah WickhamMathematics Specialist K-5

2009 Mathematics Standards of Learning The Process

Examined current research and thinking Report of the National Mathematics Panel NCTM Focal Points NCTM Principles and Standards for School

Mathematics The GAISE Report NAEP Framework Achieve and the American Diploma Project The Singapore Curricula The College Board Benchmarks ACT, Explore, and PLAN

Engaged stakeholders Encouraged public comment (1,346

comments) On February 19, 2009, the State Board of

Education (BOE) approved the Mathematics Standards of Learning

2009 Mathematics Standards of Learning The Process

Focus on the mathematical knowledge and skills

Provide a framework for instructional programs

Set reasonable targets and expectations

Teachers are encouraged to go beyond the standards and select instructional strategies and assessment methods

appropriate for their students.

2009 Mathematics Standards of Learning The Goals

2009 Mathematics Standards of Learning The Goals

Five goals…that all students are

becoming mathematical problem solvers communicating mathematically reasoning mathematically making mathematical connections using mathematical representations to

model and interpret practical situations.

Rigor has been increased Repetition has been decreased Students will need to apply content

specified in previous years’ courses

2009 Mathematics Standards of Learning The Changes

2009 Mathematics Standards of Learning Curriculum Framework

The BOE approved the proposed revised mathematics K-12 Curriculum Framework on July 23, 2009.

Public comment on the K-12 Curriculum Framework has just been completed with recommended changes to be presented to the BOE on October 22, 2009.

2009 Mathematics Standards of Learning Curriculum Framework

Defines the mathematics content knowledge, skills, and understandings

Provides additional guidance to school divisions and teachers

Assists teachers in their lesson planning Provides all with greater specificity of

minimum content requirements

K-3 Mathematics

School Year 2009-2010 2001 SOL taught and assessed School Year 2010-2011 2001 SOL and new content from 2009 SOL taught 2001 SOL assessed with field test of items from 2009 SOL for

grade 3 only School Year 2011-2012 2009 SOL taught and assessed New grade 3 assessment will cover grade 3 SOL only

2009 Mathematics Standards of Learning Instruction and Assessment

Timeline

4-8 Mathematics

School Year 2009-2010 2001 SOL taught and assessed School Year 2010-2011 2001 SOL and new content from 2009 SOL taught 2001 SOL assessed with field test of items from

2009 SOLSchool Year 2011-2012 2009 SOL taught and assessed


Timeline

EOC Algebra I, Geometry, Algebra 2

School Year 2009-2010 2001 SOL taught and assessed School Year 2010-2011 2001 SOL and new content from 2009 SOL taught 2001 SOL assessed with field test of items from

2009 SOLSchool Year 2011-2012 2009 SOL taught and assessed


Timeline

Algebra, Functions, and Data Analysis

School Year 2009-2010 2007 SOL taught No assessment School Year 2010-2011 2007 SOL and new content from 2009 SOL taught Field test all content for new assessmentSchool Year 2011-2012 2009 SOL taught and assessed


Timeline

Probability and Statistics, Discrete Mathematics and Mathematical Analysis

School Year 2009-2010 2001 SOL taught No Assessment School Year 2010-2011 2009 SOL taught No AssessmentSchool Year 2011-2012 2009 SOL taught No Assessment


Timeline

K-8 Number and Number SenseK: count to 100 (1’s, 5’s, 10’s)/back from 10/unit fractions - half,

fourth1: write numerals 0-100/count to 100 (2’s)/back from 30/unit

fractions (2, 3, 4)2: 3-digit place value/ordinality/advanced counting3: 6-digit place value/mixed numbers4: 7-digit place value/equivalent fractions/compare numbers

(magnitude/decimals)5: thousandths place value/fractions—decimals/prime, composite,

even, odd numbers6: ratios/fractions—decimals—percent/integers/positive exponents7: scientific notation (negative exponents)/absolute value/represent

sequences with variable expressions8: comparing and ordering fractions, decimals, percent, scientific

notation

2009 Mathematics Standards of Learning Vertical Articulation by

Reporting Category

K-8 Computation and EstimationK: ---1: + facts to 18 and –/ orders of magnitude in place value2: + facts to 20 and –/ +, – 2 digit numbers3: X facts to 12’s and ÷/ +, - multi-step problems4: +, -, X, ÷ whole numbers/ multiples/ factors/ +, - fractions

and decimals5: +, -, X, ÷ decimals/ +, - fraction problems/ order of

operations6: X, ÷ fractions/ order of operations7: +, -, X, ÷ integers/ proportional reasoning8: proportional reasoning/ percent increase decrease/ squares

and square roots


Reporting Category

K-8 Measurement

K: attributes/ money/ time1: money/ time/calendar/ nonstandard units2: money/ time/ calendar/ temperature/ standard units3: money/ elapsed time/ standard units/ perimeter and area4: elapsed time/ standard units/ equivalent measurements5: elapsed time/ standard units/ equivalent measurements/ perimeter and area/ circles-circumference and area/ angles6: US Customary and metric-convert between systems/ π/ area, perimeter, and volume7: volume and surface area – prisms and cylinders/ ~8: applications with volume and surface area/ changing

attributes’ affect on volume and surface area


Reporting Category

K-8 GeometryK: attributes – plane figures1: attributes – plane figures2: attributes – plane and solid figures3: characteristics of plane and solid figures/ congruence4: plane figures/ congruence/ transformations/ polygons5: angles/ triangles/ define plane figures6: coordinate plane/ congruence/ quadrilaterals7: quadrilaterals in detail/ transformations in the coordinate

plane8: 3-D models given 2-D representations/ Pythagorean

Theorem/ applications with plane figures


Reporting Category

K-8 Probability and Statistics

K: data collection and display1: data collection and display2: data collection and display/ elementary analysis of data3: data collection and display (more complex displays)/ simple

probability4: data collection and display/ simple analysis of data/ simple

probability5: sample space and probability/ measures of center/ range/ mean

as fair share/ data collection and display - stem and leaf6: more complex data displays/ mean as balance point/

dependent and independent events – probability7: probability-experimental and theoretical/ Fundamental

Counting Principle/ complex data displays8: dependent and independent events/ scatterplots


Reporting Category

K-8 Patterns, Functions, and AlgebraK: Attributes and patterns1: attributes and patterns (growing and repeating)/ =2: patterns/ simple equations; =, ≠3: patterns/ properties – identity and commutative4: numerical and geometric patterns/ = in equation/

associative property5: variable/ distributive property6: geometric and arithmetic sequences (simple)/ 1-step linear

equations/ identity, * property of 0/ multiplicative inverse/ graphing inequalities

7: multiple representations/ 1 and 2-step equations and inequalities/ apply properties

8: representations of relations and functions/ multi-step equations/ graphing linear equations


Reporting Category

Contact Information Michael Bolling, Mathematics Coordinator

[email protected]

Dr. Deborah Wickham, Mathematics Specialist,

K-5 [email protected]

Documents

Virginia Department of Education K-12 Mathematics Standards of Learning SOL Training Institutes October 2009 Michael Bolling Mathematics Coordinator Dr