How Parents Can Help As a parent, you are your child's first mathematics teacher. In fact, you have probably been doing math Prince William County Public Schools is pleased to together since your child was very young. Counting provide you with an overview of “Investigations in pictures on a page and singing songs helped your Number, Data, and Space” mathematics program for child learn about numbers and counting. Building the fourth grade. with objects such as blocks and cardboard boxes exposed your child to geometric ideas such as shape, Investigations The “Investigations” program is based on years of research about how children learn mathematics. size and symmetry. Chores such as putting away the dishes and sorting laundry engaged your child in in Number, Each grade level consists of a set of separate units, sorting and categorizing, which are important each offering 2–8 weeks of work. These units of features of data analysis. Games are another way to Data, and Space study are presented through investigations that involve students in the exploration of major engage your child in mathematical thinking. Games provide meaningful practice whether they are played 2nd Edition mathematical ideas, and may revolve around related at home or in school. areas, for example, addition and subtraction or geometry and fractions. The students may have a Fun Math Activities to Do at Home Money: Help grocery shop, compare prices, budget Student Activity Booklet or they may have Student allowance for saving/spending for short/long term Sheets, Homework Sheets, Game Instructions, Counting: Practice skip counting – starting at 2, 3, 7, 9; Practice Pages, and Assessment Tasks to show and count past 1000 counting by 25, 50, 250 share what they know and are able to do. Math Facts: Know addition, subtraction, multiplication and division facts fluently and accurately The Prince William County Mathematics Curriculum Time: Practice scheduling, time management; determine covers the same content as the Standards of Learning elapsed time (SOL) set by the State of Virginia, and in some cases Measurement: Participate in cooking, building, measuring goes beyond state standards. The Prince William Data: Discuss newspaper graphs or charts; discuss the County Curriculum is divided into six strands: probability of likely and unlikely events Number and Number Sense Computation and Estimation Geometry: Discuss 2-D and 3-D shapes you see in your environment. Fourth Grade School Board Measurement Mr. Milton C. Johns Mr. Grant Lattin Parent Edition Geometry Chairman At-Large Vice Chairman Patterns, Functions and Algebra Occoquan District Probability and Statistics Investigations is a crucial part of Mrs. Betty D. Covington Mrs. Denita S. Ramirez Prince William County Schools’ The complete curriculum guide for mathematics, as Dumfries District Woodbridge District commitment to enable all children to well as other useful information is online at the understand and use mathematics to Prince William County Web Mathematics Web Site. Ms. Julie C. Lucas Mr. Don Richardson solve problems for life. http://www.pwcsmath.com Neabsco District Gainesville District Other math web sites of interest: Dr. Michael I. Otaigbe Mr. Gil Trenum http://investigations.terc.edu Coles District Brentsville District The Prince William County Public School Division does http://www.nctm.org/resources/families.aspx not discriminate in employment or in its educational http://www.pearsonsuccessnet.com/snpapp/login/login.jsp Superintendent of Schools programs and activities against qualified individuals on (SuccessNet: Contact your child’s teacher for user name the basis of race, color, national origin, religion, sex, Dr. Steven L. Walts pregnancy, age, veteran status, or disability. and password information) Supervisor of Mathematics, Carol Knight mailto:email@example.com Fourth Grade Size, Shape, and Symmetry: Moving Between Solids and Silhouettes: Unit Descriptions 2D Geometry and Measurement 3D Geometry and Measurement This first geometry and measurement unit focuses on In this second geometry and measurement unit, students classifying two-dimensional shapes, comparing the size of examine the relationships between 3D solids and their 2D Factors, Multiples, and Arrays: angles, and working with linear and area measurement. representations. They learn and use the mathematical Multiplication Students define and categorize polygons by identifying terminology for these solids and their attributes. They In this first unit in the multiplication and division strand, sets of shapes that have a common attribute and use 90 translate between 3D shapes and their 2D representations as students deepen their understanding of the operation of degrees as a reference for finding the measurement of they build cube configurations from pictures and mental multiplication. Students use rectangular arrays to represent other angles. They continue their measurement work from images and investigate silhouettes of solids from several the relationship between factors and multiples, use what earlier grades by measuring distance and perimeter, different perspectives. Students build an understanding of they know to solve problems that increase in size, and using both U.S. and metric units and finding the area of measuring volume as they examine the structure of focus on solving problems efficiently. They continue to polygons in square units. LogoPaths, a Logo programming rectangular prisms and determine the number of cubes that develop fluency with multiplication combinations (facts up environment designed for “Investigations” students in fit inside given box patterns. to 12 x 12). Grades 3–5 is introduced in this unit. It allows students to explore geometrical relationships, especially focusing on angle, length, and perimeter, patterns in sides and angles, How Many Packages? Describing the Shape of the Data: Data and characteristics of specific shapes. How Many Groups? Analysis and Probability Multiplication and Division This unit develops ideas about collecting, describing, and Landmarks and Large Numbers: In this last multiplication and division unit in Grade 4, representing data. Students collect data through counting students continue to develop efficient strategies for solving and measuring and use bar graphs and line plots to Addition, Subtraction, and the multiplication problems by breaking problems into smaller represent their data involving one group and compare data Number System parts or changing one or both numbers to create an easier of two groups. They interpret the data and draw Students extend their knowledge of the number system by problem. Students also focus on recording their work with conclusions based on the data using terms such as mode, examining the structure of 10,000 and practice and refine clear and concise notation. Students develop strategies for median, range, and outlier. Students begin their study of strategies for adding and subtracting whole numbers up to solving division problems (three-digit divided by two- probability by placing events on a “likelihood line” that 10,000. They continue to study place value by adding and digit), which involve making groups of the divisor. These goes from impossible to certain and work with mixtures of subtracting multiples of 10 and 100 to numbers in the problems are presented both in story contexts and colored cubes to describe the probability of different thousands, and they consolidate their understanding of the numerically. outcomes. operation of addition by studying a variety of addition strategies and algorithms, including the U.S. algorithm for addition. Students continue their study of subtraction by Penny Jars and Plant Growth: Patterns, Multiple Towers and Division Stories: solving, representing, and discussing their strategies for a Functions, and Change Multiplication and Division variety of subtraction problems. Students explore situations in which two quantities change Students develop strategies for solving multiplication in relation to each other. They work with changes over problems with two-digit numbers and deepen their time, such as increasing or decreasing speed or the growth understanding of the operation of division by focusing on Fraction Cards and Decimal Squares: of a plant, and situations of constant change, such as how the relationship between multiplication and division. Using Rational Numbers the number of windows in a building depends on the height story contexts and multiple towers, students continue their Students develop ideas about fractions by identifying of the building if every floor has the same number of investigation of the relationship between numbers and their fractions of an area (3/4 of a rectangle), fractions of a group windows. Students create and interpret graphs and tables factors. Students practice multiplying by 10 and multiples of objects (3/4 of 24), and decimal fractions (.75). They for these linear and nonlinear functions and connect these of 10, break problems into smaller parts that can be compare fractions of different wholes (1/3 of a 6 x 4 graphs to the situations they represent. multiplied easily, and find the multiples of two-digit rectangle and 1/3 of a 10 x 10 rectangle), and combine numbers. They gain fluency with all multiplication fractions using models and reasoning. Students use combinations to 12 x 12. Students solve, represent, and 10 x 10 grids to represent, compare, and combine common discuss division story problems, including remainders. decimals in the tenths and hundredths.
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