Kindergarten children develop mathematical skills through "hands-on" activities and games. They become familiar with numbers 1-110 by counting by 1s, 2s, and 5s. The concepts of graphing, telling time, number patterns, fractions, and money are introduced. Children compare a variety of objects using their length, weight and volume; estimate measures; and use measurement tools. Number stories provide a way for young children to read and write numbers. Games are used as a concrete way of introducing a variety of topics, including the concepts of fairness and chance. Kindergartners will occasionally bring home Math Link "homework" assignments to explore with their family.
 

First graders experience a variety of math concepts. They use three-digit numbers for counting forward and backward, identifying larger and smaller numbers, and writing numbers from dictation. Games and activities involving number facts provide addition and subtraction practice. They expand on the skills taught in kindergarten with measuring, telling time, and reading and comparing temperatures on a thermometer. Children measure length in both inches and centimeters. Telling time on an analog clock to 5 minutes or to 1 minute will be practiced. First-grade students collect, organize, and display information using an assortment of graphs and tables. Children are actively involved in constructing and identifying 2- and 3-dimensional shapes, equivalent fractions, and a variety of patterns. These experiences are extended outside of the classroom with regular Home Link assignments.

Second graders focus on thinking and communicating mathematically. The children have real-life math experiences in order to practice problem solving and build a true understanding of the mathematical concepts they need. Hands-on activities and math games are used to review and learn extended addition and subtraction facts. Students spend time sharing the strategies they used to solve mental math problems. They learn that there are a variety of ways to get the same answer. Students become familiar with arrays, which serve as the foundation for multiplication and division fact families.

Money becomes a basis for many math skills in second grade. Students are expected to know the values of coins and the exchange value among U.S. coins. The calculator is used for entering and computing money amounts. Graphing, calendar skills, geometry concepts, and telling time are taught throughout the year. As with the other grade levels, parent involvement with Home Links is an important part of the program.

Third graders focus on fact families in addition, subtraction, multiplication, and division. They continue developing strategies for multi-digit addition and subtraction problems. Learning multiplication facts through the 10s is a goal this year. Other third-grade skills include understanding large numbers in addition to working with small numbers using equivalent fractions and decimals (to the thousandths). They continue the study of geometry, negative numbers, calculator skills, telling time, and geometry.

Practical application of measurement skills includes linear, weight, and capacity with customary and metric units. Students perform probability experiments that provide information for analyzing data and predicting outcomes. Third graders will have Home Links homework on a regular basis.

Fourth graders explore geometry concepts and apply shape properties to create geometric figures. They use several different techniques to find the perimeter and area of assorted shapes. Children in fourth grade apply their knowledge of math facts to fact extensions, such as 4 X 8 = 32 so 40 X 80 = 3200, and develop strategies for multi-digit multiplication problems. They use their knowledge of estimation, place value, and the relationship between multiplication and division to develop a division strategy.

Children are able to apply a variety of strategies for adding or subtracting multi-digit numbers and can apply them to situations involving decimal values. In the fourth grade, children use manipulatives to conduct probability experiments and to explore equivalent decimals and percents. Homework pages are now called Math Links.

Fourth-grade students experience a yearlong project, the World Tour. They "travel" to Washington, D.C. from Troy and then "visit" five other regions of the world. Math skills include reading tables for information, collecting numerical data, using map scales to estimate distance, locating points on a grid, and using latitude and longitude for locations on Earth. Children are also involved in performing experiments and conducting surveys where they have the opportunity to collect and organize data, display the information, and analyze and interpret the results.

In fifth grade, students continue to investigate naming numbers in a variety of ways, including factors, exponents, fractions, decimals. They continue to practice with the division algorithm and apply their strategies for whole-number computation to decimals.

Fractions are used in measurement, equivalent forms, ratios, and addition and subtraction situations. Decimal and percent concepts are extended to equivalent forms, number lines, grids, probability, and circle graphs. Fifth graders use manipulatives to explore negative numbers and simple algebraic expressions and problems. They link their measurement and algebra skills by using formulas to find perimeters, areas, and volumes of shapes and solids. They continue their study of geometry, working with angles, 2-D and 3-D figures, and corresponding math tools.

Fifth graders participate in a yearlong American Tour. They examine changes in population, societal trends, demographics, and geography of the United States from its beginnings to the present. This integrated project allows students to use mathematics as a tool in a variety of applications. As with the other grade levels, parent involvement with Math Links is an important part of the program.