Primary Type: Teaching Idea
Status: Published
This is a resource from CPALMS (www.cpalms.org) where all educators go for bright ideas!
Resource ID#: 25769
Direct Link: http://illuminations.nctm.org/Lesson.aspx?id=329
Comparing Connecting Cubes: Fact Families
This lesson focuses on recording fact families, which students will use to explore the relationship between related addition and subtraction facts.
Students will use connecting cubes and calculators to find missing addends, review the additive identity, and record fact families given either two
addends or one addend and the sum.
Subject(s): Mathematics
Grade Level(s): K, 1
Intended Audience: Educators
Suggested Technology: Document Camera,
Computer for Presenter, Computers for Students,
Internet Connection, Adobe Acrobat Reader, Java
Plugin
Instructional Time: 45 Minute(s)
Resource supports reading in content area: Yes
Freely Available: Yes
Keywords: fact families, missing addend, additive identity, sum, and difference
Instructional Design Framework(s): Direct Instruction, Demonstration, Cooperative Learning
Resource Collection: CPALMS
Additional Information/Instructions
By Author/Submitter
Books:
Ten Monsters in the Bed, or sing the song "Ten in the Bed."
Additional questions for students:
If you know one train has 7 connecting cubes and another has 2 cubes, how many more cubes are in the longer train?
How many addition and subtraction facts can I write if I compare a train with 3 red connecting cubes and one with 5 green connecting cubes? How are the facts alike?
How are they different?
Suppose that I make a train with 4 red connecting cubes and one with 4 blue connecting cubes. What sentences will describe a comparison of the trains?
How could you help a friend find an addition sentence related to 5 - 2=3? To 4 -0&=4?
What addend pairs can you find for a sum of 7? What subtraction sentences do they suggest?
Suppose I tell you that 7 is 3 more than some number. Can you write the complete subtraction sentence? If 7 were less than a number, what sentence would you write?
If I have a blue pencil that is 3 inches long and a red pencil that is 5 inches long, how can I find out how much longer the red pencil is?
This resource is likely to support student engagement in the following the Mathematical Practice: MAFS.K12.MP.6.1 Attend to precision.
This lesson is the fifth of six lessons on NCTM's Illuminations website. The entire unit can also be found as a resource on CPALMS. Below are links to the individual lessons on
Illuminations.
Individual Lessons
Lesson 1: Counting Back and Counting On
Lesson 2: Comparing Sets
Lesson 3: Using the Number Line to Compare
Lesson 4: Balancing
page 1 of 2 Lesson 5: Fact Families
Lesson 6: Looking Back and Moving Forward
SOURCE AND ACCESS INFORMATION
Name of Author/Source: Anonymously Submitted
Is this Resource freely Available? Yes
Access Privileges: Public
License: Attribution-NonCommercial 3.0 Unported
Related Standards
Name
MAFS.1.OA.2.4:
MAFS.1.OA.3.6:
MAFS.K.OA.1.2:
Description
Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that
makes 10 when added to 8.
Add and subtract within 20, demonstrating fluency for addition and subtraction within 10. Use strategies such as
counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13
– 4 = 13 – 3 – 1 = 10 – 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 =
12, one knows 12 – 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the
known equivalent 6 + 6 + 1 = 12 + 1 = 13).
Solve addition and subtraction word problems1, and add and subtract within 10, e.g., by using objects or drawings to
represent the problem (1Students are not required to independently read the word problems.)
Attached Resources
Virtual Manipulative
Name
Five Frame :
Description
This applet contains four games (How Many?, Build, Fill, and Add) that utilize a frame with five slots for students to
place objects, which helps students develop counting and addition skills.
Ten Frame:
This applet contains four games (How Many?, Build, Fill, and Add) that utilize a frame with ten slots for students to
place objects, which helps students develop counting and addition skills.
Lesson Plan
Name
Description
This lesson, which focuses on subtracting 1 from numbers to 10, begins with reading a counting book. The students
Comparing Connecting Cubes:
model the numbers as the book is read. Then they make a chain of links and write in vertical and horizontal format the
Counting Back and Counting
differences suggested by adding and subtracting one link at a time from their chains. Finally, they draw a chain showing
On:
one link being taken away and write in two formats the difference it represents.
Comparing Connecting Cubes: This lesson focuses on determining differences based on linear measurement, having students compare lengths using
Using the Number Line to
the number line. Students will then solve and create puzzles on number lines.
Compare :
(from Illuminations/NCTM)
page 2 of 2