Students
continue to develop reasoning strategies to become fluent with the
addition and subtraction facts. Students extend their understanding
of the unit of 10 and of the base-ten number system to develop
place-value concepts. They use these place-value concepts and the
properties of addition and subtraction to develop mental math
strategies, conceptual models, and standard algorithms for multidigit
addition and subtraction. Students develop methods for measuring and
comparing lengths measured in different-sized standard and
nonstandard units. They describe and reason about the properties of
shapes. Students use equal groups of objects or equal partitions of a
shape to develop foundations for multiplication and division.
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UNIT 1 Welcome to Second Grade
Students focus on developing strategies for solving the addition facts including reasoning strategies. Students build on their invented strategies to reason from facts that they know (e.g., make ten, use doubles). They describe strategies used to get to know and then solve a word problem. Students also start a
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UNIT 2 Buttons: Sorting and Counting
Students focus on developing number sense for larger numbers up to 200. They practice estimation and grouping and counting strategies to find the actual quantities of a collection of buttons. Students use counters, number lines, and number charts to represent two- and three-digit numbers.
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UNIT 3 Exploring Numbers
Students explore numbers and use mental math and reasoning strategies to solve addition and subtraction problems. They are introduced to the 200 Chart and use it to identify, describe, and use patterns. Students will explore addition and subtraction using the 200 Chart, number lines and manipulatives and solve word problems involving two whole numbers with a sum within 100.
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UNIT 4 Going to Great Lengths
Students explore measurement concepts using a variety of units of length (palms, footprints, centimeters, inches, meters, and yards). They develop a list of measurement rules and compare the relative size of these different units. Students then apply these measurement techniques as they determine "the best roller" in a collection of cars.
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UNIT 5 Putting Numbers in Their Places
Students connect the many representations of quantity to place value concepts for two- and three-digit numbers. Students group and count different quantities of objects and partition numbers into hundreds, tens, and ones using number lines, charts, and connecting cubes. Students explore the relationship between a container's size, shape, and volume. Students also practice telling time on analog and digital clocks.
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UNIT 6 Place Value
Students continue their work with place value of three-digit
numbers by using base-ten pieces and base-ten hoppers. Students
revisit partitioning numbers into groups of tens and ones to
further develop number sense. Students also further explore how to
tell time on an analog clock to the nearest five minutes.
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UNIT 7 Adding Larger Numbers
Students develop meaningful, accurate, and efficient methods for solving two-digit and three-digit addition problems. Students develop strategies to estimate sums, explore a variety of invented and mental math strategies supported with a variety of tools. Students also develop several addition methods (e.g., all-partials, expanded form, and compact) and compare and contrast them.
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UNIT 8 Addition Properties and Mass
Students practice applying and using the addition properties as they explore the concepts and skills of measurement, specifically mass.
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UNIT 9 Subtracting Larger Numbers
Students use a variety of strategies to solve subtraction problems using a variety of methods and representations. Students apply place-value properties and use mental math strategies to calculate and estimate differences. Students also learn to use paper-and-pencil strategies (e.g., standard algorithm, expanded form) that apply place value concepts to solve subtraction problems.
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UNIT 10 Addition Properties Using Volume
Students explore and apply the associative and commutative properties of addition within the context of finding the volume of buildings built from connecting cubes. Students then apply these properties to solve multistep problems involving addition.
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UNIT 11 Exploring Volume with Addition and Subtraction
Students learn to read scales and apply their skills to find the volume of objects using a graduated cylinder. Students solve one- and two-step addition problems and subtraction problems related to the data in the volume lab.
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UNIT 12 Grouping and Sharing
Students explore multiplication and division concepts. They invent and choose from a variety of strategies such as repeated addition, drawing a picture, organizing arrays, and counting groups. Students also focus on developing strategies for solving multistep problems in multiplication and division situations.
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UNIT 13 Reason With Shapes
Students solve problems involving two, three, and four fair shares using area models and drawings. Students then partition rectangles into equal shares and find the area of shapes that have whole units and parts of units. Students then analyze, sort, and describe the attributes of polygons.
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UNIT 14 Multidigit Addition and Subtraction
Students extend their understanding and strategies for adding and subtracting to solve problems involving multidigit numbers. Students apply place-value properties and use mental math strategies to calculate and estimate differences. Students also learn to use paper-and-pencil strategies (e.g., standard algorithm, expanded form) that apply place value concepts to add and subtract.
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UNIT 15 Patterns in Data
Students investigate doubles and halves with function machines and model growth patterns by identifying, describing, and using patterns to make predictions.
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