What is Place Value Foundations...
Students explore number relationships through sorting, games, and math stories. They use number bonds and their teacher writes number sentences to record part–total relationships. They also practice different methods for representing story situations including put together with total unknown and put together with both addends unknown.
New
ones
When we count things one at a time, we call that counting by ones. (Lesson 1)
Familiar
part
A piece that is used to make a larger whole or total is called a part.
When we make a trapezoid out of 3 triangles, each triangle is a part.
(Lesson 1)
When we make 5 by putting together 2 and 3, we call 2 and 3 parts.
(Lesson 3)
In module 4, part is introduced in two different contexts. First, in lesson 1, it is introduced in the context of composite shapes. Then, in lesson 3, it is introduced in the numerical context, for example, the parts in a number bond or number sentence.
partners to x
Two numbers that add to x are called partners to x. For example, 2 and 4 are partners to 6. (Lesson 6)
Since any whole number can be substituted for x, this is defining several different terms: partners to 5, partners to 6, partners to 7, etc.
total
A number made out of smaller numbers is called the total. When we make 5 by putting together 2 and 3, we call 5 the total. (Lesson 3)
whole
Something that is made out of smaller pieces is called a whole. When we make a trapezoid out of 3 triangles, the trapezoid is the whole. (Lesson 1)
Whole and total have similar meanings. Kindergarten uses whole as a general term meaning “the entire thing” and total exclusively when referring to a numerical quantity.
Count and Write Teen Numbers
Students dive into place value concepts as they count and write numbers 11 to 20. They learn that each teen number, 11 to 19, is composed of 10 ones and some more ones and that the digit 1 in a teen number represents 10 ones. Throughout the topic, students use and discuss tools that highlight the structure of ten in our number system such as Hide Zero® cards, fingers, 10-frames, and rekenreks. They use the tens and ones structure to organize objects. This helps them count a group of 11 to 20 objects efficiently and accurately.
Compose and Decompose Teen Numbers
Students expand their experience with place value and part–total relationships by representing teen numbers with number bonds and number sentences. Story contexts offer an entry point for students to connect real-life situations to abstract mathematical representations. Each story uses 10 as a part to reinforce the understanding that teen numbers are composed of 10 ones and some more ones.
Count to 100
Students master the count to 100 by using pattern and structure. They discover that number words after 20 can be formed by pairing a decade word with a number word one through nine. Students consider efficiency as they organize materials into groups and as they decide when to count by tens or ones.
Compare
Students conclude the year by applying comparison strategies to situations involving greater numbers and measurable attributes. Students use their understanding of part–total relationships to decompose teen numbers into 10 ones and some ones before comparing. Measurement scenarios extend student learning and set the stage for comparison in grade 1.
How can I practice Place Value Foundations...
Classroom Resources for Place Value Foundations...