Middle School Mathematics Grade Mathematics Standards of Learning Training Institutes Virginia Department of Education

Getting in a Middle School Mind Set Jot Thoughts Simultaneously, each participant writes one idea on one slip of paper Say it out loud to your group Place it in the middle of your table Continue until time is called Goal is to have a variety of thoughts displayed across your table

When you think of middle school mathematics what comes to mind?

Today’s Objectives To give an overview of the 2009 Mathematics Standards of Learning, highlight additions, deletions, and new foci. To provide sample activities that support the new standards.

Reporting Category Changes Reporting Category # of Standards (2001) # of Standards (2009) Number and Number Sense32 Computation and Estimation32 Measurement22 Geometry52 Probability and Statistics53 Patterns Functions and Algebra 45 Total Mathematics Standards of Learning for Grade 7

SOL 7.1 The student will a)investigate and describe the concept of negative exponents for powers of ten; b)determine scientific notation for numbers greater than zero; c)compare and order fractions, decimals, percents, and numbers written in scientific notation; d)determine square roots; and e)identify and describe absolute value for rational numbers. Number and Number Sense 2009 Mathematics Standards of Learning for Grade 7

SOL 7.1 The student will a)investigate and describe the concept of negative exponents for powers of ten; b)determine scientific notation for numbers greater than zero; d)determine square roots; and e)identify and describe absolute value for rational numbers. From SOL 6.22 Number and Number Sense NEW 2009 Mathematics Standards of Learning for Grade 7 WAS 10

Lets Try it Out! Investigate and describe the concept of negative exponents for powers of ten Mathematics Standards of Learning for Grade 7

SOL 7.2 The student will describe and represent arithmetic and geometric sequences, using variable expressions. Number and Number Sense 2009 Mathematics Standards of Learning for Grade 7

SOL 7.2 The student will describe and represent arithmetic and geometric sequences, using variable expressions. Moved to a new reporting category…. Number and Number Sense NEW 2009 Mathematics Standards of Learning for Grade 7

Number and Number Sense What’s gone?Where did it go? Comparing, ordering, and determining equivalent relationships between fractions, decimals and numbers in scientific notation for numbers greater than zero. 6.2 (w/o scientific notation) Simplifying expressions with order of operations 5.7 and 6. 8 Properties7.16 (and under) 2009 Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

SOL 7.3 The student will a)model addition, subtraction, multiplication, and division of integers; and b)add, subtract, multiply, and divide integers. Computation and Estimation 2009 Mathematics Standards of Learning for Grade 7

SOL 7.3 The student will a) model addition, subtraction, multiplication, and division of integers; and b) add, subtract, multiply, and divide integers. Computation and Estimation NEWCHANGE 2009 Mathematics Standards of Learning for Grade 7

SOL 7.4 The student will solve single-step and multistep practical problems, using proportional reasoning. Computation and Estimation 2009 Mathematics Standards of Learning for Grade 7

SOL 7.4 The student will solve single-step and multistep practical problems, using proportional reasoning. Computation and Estimation NEW

Computation and Estimation What’s gone?Where did it go? Practical Problems using rational numbers and percents Fractions 6.6 Decimals 6.7 Consumer application problems involving tips, discounts, sales tax, and simple interest Proposed Curriculum Framework (7.4) 2009 Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

SOL 7.5 The student will a)describe volume and surface area of cylinders; b)solve practical problems involving the volume and surface area of rectangular prisms and cylinders; and c)describe how changing one measured attribute of a rectangular prism affects its volume and surface area. Measurement 2009 Mathematics Standards of Learning for Grade 7

SOL 7.5 The student will a) describe volume and surface area of cylinders; c)describe how changing one measured attribute of a rectangular prism affects its volume and surface area. Measurement NEW 2009 Mathematics Standards of Learning for Grade 7

Lets Try it Out! Describe how changing one measured attribute of a rectangular prism affects its volume and surface area Mathematics Standards of Learning for Grade 7

SOL 7.6 The student will determine whether plane figures— quadrilaterals and triangles—are similar and write proportions to express the relationships between corresponding sides of similar figures. Moved from Geometry to Measurement… Measurement 2009 Mathematics Standards of Learning for Grade 7

Measurement What’s gone?Where did it go? Find area by subdividing polygons8.11 Apply perimeter and area formulas in practical situations Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

SOL 7.7 The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid. Geometry 2009 Mathematics Standards of Learning for Grade 7

SOL 7.7 The student will compare and contrast the following quadrilaterals based on properties: parallelogram, rectangle, square, rhombus, and trapezoid. Geometry 2009 Mathematics Standards of Learning for Grade 7 NEW

SOL 7.8 The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane. Geometry 2009 Mathematics Standards of Learning for Grade 7

SOL 7.8 The student, given a polygon in the coordinate plane, will represent transformations (reflections, dilations, rotations, and translations) by graphing in the coordinate plane. Geometry 2009 Mathematics Standards of Learning for Grade 7 From SOL 8.8

Lets Try it Out! The student, given a polygon in the coordinate plane, will represent transformations (reflections) by graphing in the coordinate plane Mathematics Standards of Learning for Grade 7

Geometry What’s gone?Where did it go? Identify polygons4.10 Identify and graph ordered pairs in the four quadrants Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

SOL 7.9 The student will investigate and describe the difference between the experimental probability and theoretical probability of an event. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7

SOL 7.9 The student will investigate and describe the difference between the experimental probability and theoretical probability of an event. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7 NEW VOCAB

SOL 7.10 The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7

SOL 7.10 The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7 NEW FOCUS

SOL 7.11 The student, given data for a practical situation, will a)construct and analyze histograms; and b)compare and contrast histograms with other types of graphs presenting information from the same data set. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7

SOL 7.11 The student, given data for a practical situation, will a) construct and analyze histograms; and b)compare and contrast histograms with other types of graphs presenting information from the same data set. Probability and Statistics 2009 Mathematics Standards of Learning for Grade 7 NEW FOCUS

Probability and Statistics What’s gone?Where did it go? Tree Diagrams5.14 (sample spaces) Central tendencies and range5.16 Frequency distributionsProposed Curriculum Framework Line plots3.17 Stem and leaf plots5.15 Box-and –Whisker plotsA.10 Scattergrams/scatterplots Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

SOL 7.12 The student will represent relationships with tables, graphs, rules, and words. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7 CLARIFIED

SOL 7.13 The student will a)write verbal expressions as algebraic expressions and sentences as equations and vice versa; and b)evaluate algebraic expressions for given replacement values of the variables. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7

SOL 7.13 The student will a)write verbal expressions as algebraic expressions and sentences as equations and vice versa; and b)evaluate algebraic expressions for given replacement values of the variables. Patterns, Functions and Algebra 2009 Mathematics Standards of Learning for Grade 7 From SOL 8.4 NEW

SOL 7.14 The student will a)solve one- and two-step linear equations in one variable; and b)solve practical problems requiring the solution of one- and two-step linear equations. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7

SOL 7.14 The student will a)solve one- and two-step linear equations in one variable; and b)solve practical problems requiring the solution of one- and two-step linear equations. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7 From SOL 8.15

SOL 7.15 The student will a)solve one-step inequalities in one variable; and b)graph solutions to inequalities on the number line. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7

SOL 7.15 The student will b)graph solutions to inequalities on the number line. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7 NEW

SOL 7.16 The student will apply the following properties of operations with real numbers: a)the commutative and associative properties for addition and multiplication; b)the distributive property; c)the additive and multiplicative identity properties; d)the additive and multiplicative inverse properties; and e)the multiplicative property of zero. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7

SOL 7.16 The student will apply the following properties of operations with real numbers: a)the commutative and associative properties for addition and multiplication; b)the distributive property; c)the additive and multiplicative identity properties; d)the additive and multiplicative inverse properties; and e)the multiplicative property of zero. Patterns, Functions, and Algebra 2009 Mathematics Standards of Learning for Grade 7

Lets Try it Out! The student will apply the properties of operations with real numbers Mathematics Standards of Learning for Grade 7

Patterns, Functions, and Algebra What’s gone?Where did it go? Patterns7.2 Vocabulary: equations, inequality, and expression Proposed Curriculum Framework Introduce commutative and identity property 3.20 Introduce inverse property6.19 Introduce associative property4.16 Introduce multiplicative property of zero6.19 Identify distributive property Mathematics Standards of Learning for Grade 7 What seems to have “gone away” in the move from the 2001 standards to the 2009 standards?

Fan and Pick Reflection Participants move into groups of 4 Participants number off from 1 to 4 – Participant #1 holds and fans cards – Participant #2 picks a card and reads the question – Participant #3 answers the question – Participant #4 praises and adds to the answer Participants rotate roles