Vol 7, No 2 October, 1999
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  • First Grade
  • Second Grade
  • Third Grade
  • Fourth Grade
  • Fifth Grade
  • Sixth Grade
  • Seventh Grade

    Stages of Math Development



    A Note From the Principal

    PTA Perspective


    Reading Buddies
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  • A Summary of the TERC Math Program Grade By Grade

    Kindergarten's first unit begins with an introduction to some of the processes and materials the children will be using in mathematics. The second unit, "Pattern Trains and Hopscotch Paths," is an exploration of patterns - what makes a pattern and how is it useful. Unit three, "Collecting, Counting and Measuring," is based on developing number sense through the use of manipulatives and everyday items to count and represent numbers. Geometry is the organizing discipline in the unit "Making Shapes and Building Blocks," as the children are introduced to 2- and 3- dimensional shapes. In "Counting Ourselves and Others" and "How Many in All?" the final two units, the children use counting and sorting to deepen their understanding of data, numbers and number relationships.


    In the first grade classes, the units begin with an "Introduction to Mathematical Thinking." This unit is an introduction to mathematical materials and practice using describing, comparing, counting, combining, sequencing, representing and recording with those materials. The second unit is called "Building Number Sense" the number system of counting, adding, combining and sequencing up to 100, and developing strategies for solving, combining and separating story problems. The third unit is "Survey Questions and Secret Rules?" - collecting and sorting data, learning to identify and describe attributes needed to sort and categorize. The fourth unit is called "Quilt Squares & Block Towns" and deals with 2-D and 3-D Geometry, in which they build and describe patterns to construct two and three-dimensional shapes. The two final units are "Number Games and Story Problems" which develops addition and subtraction strategies and "Bigger, Taller, Heavier, Smaller" which uses measuring and patterns to solve problems. This relates to the grade's core curriculum of the school and neighborhood and it's measurement projects.



    In the second grade, the children revisit earlier conceptual material at more sophisticated levels. They begin the year with an "Introduction to Mathematical Thinking," reviewing skills in counting, grouping, adding, sorting and classifying. The second unit "Coins, Coupons and Combinations," expands on the number system, addition and subtraction. The third unit "Does It Walk, Crawl, or Swim?" deepens their understanding and develops strategies of sorting and classification, collecting data from experiments, and data representation. The fourth unit "Shapes, Halves and Symmetry" works with geometric shapes and fractions. Unit Five, "Putting Together and Taking Apart" develops strategies for adding, subtracting and comparing numbers to 100 as well as working with coins and the money system. Measuring along with concepts of paths, lengths, and measuring units are covered in "How Long? How Far?" Work with collecting and representing data, understanding range and representation of number groups, along with representing time are addressed in the final two units "How Many Pockets? How Many Teeth?" and "Timelines and Rhythm Patterns".



    The third grade begins with the "Introduction to Mathematical Thinking" by reviewing material and introducing the new curriculum. Multiplication and Division are explored in "Things that Come in Groups." "Flips, Turns, and Area" explores 2-demensional geometry, including movement and comparisons for congruence. "From Paces to Feet" takes measuring and data work another step by introducing U.S. standard and metric measures. The fifth unit "Landmarks in the Hundreds," works with factors and multiples, and more multiplication and division. "Up and Down the Number Line" explores changes above and below zero, inverse operations, and graphing the number line. The "Turtle Paths" unit returns to focus on 2-demensional Geometry, describing paths and lengths, turns triangles and perimeter. The third grade sequence finishes with units on "Fair Shares" fractions including mixed numbers, and "Exploring Solids and Boxes" which introduces 3-demensional Geometry.


    After the initial Introductory Unit, the fourth grade curriculum's first unit is "Arrays and Shares" in which multiplication and division grouping and array strategies are used. This is followed by "Seeing Solids and Silhouettes" a unit on 3-dimensional geometry which addresses spatial relationships, visualization skills and geometric perspective. The fourth unit, "Landmarks in the Thousands," works with the number system by exploring factors of 100 and 1000, and introducing and using landmarks to add and subtract. Fractions and area are the topics of the unit called "Different Shapes, Equal Pieces" in which the children explore relationships among fractions. "The Shape of Data" is a unit on statistics, with students completing experiments and then collecting, organizing, representing, analyzing and comparing the resulting data sets. "Money, Miles and Large Numbers" is a unit on addition and subtraction using comparisons, decimals, landmarks, and estimation. In the eighth unit, "Changes Over Time," the dimension of time is introduced to graphing within a process of making, describing and interpreting line graphs. Multiplication and division are revisited in "Packages and Groups" and then expanded to two digits. The tenth unit is "Sunken Ships and Grid Patterns," the study of 2-demensional geometry, using points and grids, ordered pairs, and coordinate grids. The final unit is "Three Out of Four Like Spaghetti" which addresses the collection and organization of categorical data and the use of fractions to describe and compare data.

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