Module 1: Sums and Differences to 100

Sets the foundation for students to master sums and differences to 20. Students use these skills to fluently add one-digit to two-digit numbers at least through 100 using place value. They will begin to understand the relationship between addition and subtraction. The students will be able to…

• practice making ten and adding to ten

• practice making the next ten and adding to a multiple of ten

• add and subtract like units

• make a ten to add numbers within 100

• subtract single- digit numbers from multiples of ten within 100

• take from ten within 100

• add and subtract within 100 to solve one- step word problems

• investigate the patterns of odd and even numbers

Module 3: Place Value, Counting, and Comparison of Numbers to 1,000

Students build an understanding of units by bundling ones, tens, and hundreds up to a thousand with straws. In second grade, a number generally consists of three units: hundreds, tens, and ones. The bundled units are organized by separating them largest to smallest, ordered from left to right. Over the course of the module, instruction moves from using manipulatives to numbers. The students will be able to…

• bundle manipulatives and count ones, tens, and hundreds to 1,000

• count up to 1,000

• write, read, and relate numbers in all forms (e.g. 264, 2 hundreds 6 tens 4 ones, 200+60+4, two hundred sixty- four)

• use place value to count on or count back

• change 10 ones for one ten, 10 tens for one hundred, 10 hundreds for 1 thousand

• compare 3 digit numbers using <, >, and =

• order numbers in different ways

• show 1 more, 1 less, 10 more, 10 less, 100 more, and 100 less for any 3 digit number

Module 4: Addition and Subtraction Within 200 with Word Problems to 100

Students develop place value strategies to fluently add and subtract within 100; they represent and solve one- and two-step word problems of varying types within 100; and they develop conceptual understanding of addition and subtraction of multi-digit numbers within 200. Students use manipulatives and math drawings to develop an understanding of the composition and decomposition of units, and they relate these representations to the standard algorithm for addition and subtraction. The students will be able to…

• add and subtract multiples of 10 and some ones

• relate addition using manipulatives and drawings to a written vertical form

• relate subtraction using manipulatives and drawings to a written vertical form

• solve one and two step word problems within 100

Module 5: Addition and Subtraction Within 1,000 with Word Problems to 100

Students build upon their mastery of renaming place value units and extend their work with conceptual understanding of the addition and subtraction algorithms to numbers within 1,000, always with the option of modeling with materials or drawings. Students continue to focus on strengthening and deepening conceptual understanding and fluency. The students will be able to…

• add and subtract multiples of 100 and some tens and ones within 1,000

• relate addition using manipulatives and drawings to a written vertical form

• relate subtraction using manipulatives and drawings to a written vertical form

• solve one and two step word problems within 100

Module 6: Foundations of Multiplication and Division

The conceptual foundation is laid for multiplication and division in Grade 3 and for the idea that numbers other than 1, 10, and 100 can serve as units. Topics in this module include: Formation of Equal Groups, Arrays and Equal Groups, and Rectangular Arrays as a Foundation for Multiplication and Division. The students will be able to…

• use manipulatives to create equal groups

• relate equal groups to repeated addition

• compose arrays from rows and columns

• decompose arrays into rows and columns

• use square tiles to compose a rectangle and relate it to the array model

Module 7: Problem Solving with Data, Length and Money

Presents an opportunity for students to practice addition and subtraction strategies within 100 and problem-solving skills as they learn to work with various types of units within the context of data, length and money. The students will be able to…

• draw and label a table, picture graph, line plot, and bar graph to represent data

• solve word problems using data

• students represent categorical and measurement data using picture graphs, bar graphs, and line plots

• measure objects using inch rulers and yardsticks

• compare differences in lengths using inches, feet, and yards

• solve word problems involving length

• recognize the value of coins and count up to find their total value

• solve one and two step word problems involving coins and bills

• use the fewest number of coins to make a given value

• use different strategies to make $1.00

Module 8: Time, Shapes, and Fractions as Equal Parts of Shapes

Students extend their understanding of part–whole relationships through the lens of geometry. As students compose and decompose shapes, they begin to develop an understanding of unit fractions as equal parts of a whole. The students will be able to…

• describe shapes based on attributes

• use attributes to draw different shapes

• combine shapes to create a composite shape

• interpret equal shares in shapes as halves, thirds, and fourths

• partition circles and rectangles into equal parts

• tell time to the nearest 5 minutes

• relate a.m. and p.m. to the time of the day

• solve elapsed time word problems