Matching/Sorting
Different
Exactly the same
Group
Match
Size
Sort
The same, but…
Other Vocabulary and Terms
Count
How many?
Line
Number
Welcome to the World of Pre-K Math!
Throughout the year, you will receive letters highlighting the age-appropriate mathematical ideas that your
preschooler is learning. These ideas are foundational to the way we understand and analyze the world.
Each letter includes a summary of what your child is learning, key vocabulary terms, and ways you can
provide support and make connections at home.
Grade PK • Module 1 • Topics A–D
Family Math Newsletter
How to Help at Home
Have your child help with household chores that require matching
or sorting, such as matching socks in the laundry, organizing shoes,
or collecting utensils for meals. As your child matches objects, ask
questions like, “How do they match?”
Play I Spy together to continue developing vocabulary around size,
shape, color, and texture. For instance, seeing a banana, you might
say, “I spy something yellow and smooth.”
Identify and count parts of your body, noticing if there is a matching
body part (1 ear, 2 ears) or just 1 body part (1 nose).
Touch and count three objects together. At the grocery store,
count, “1, 2, 3. We need 3 apples.”
Key Standards
Know number names and the
count sequence.
Count to tell the number of
objects.
Sort objects and count the
number of objects in each
category.
For more information about the New
York State Prekindergarten
Foundation for the Common Core,
visit
http://www.p12.nysed.gov/ciai/com
mon_core_standards/pdfd
ocs/nyslsp
rek.pdf.
Numbers to 5
In the first half of Module 1, children match and sort objects based on
their attributes (e.g., color, size, use). Along the way they are shown as
many as three objects and asked, “How many?” Touching one object at a
time, they count to find the total, and match the count to a numeral.
Words and Key Terms
Sorting by size
This group has big bears.
That group has small bears.
Module 1: Counting to 5
Family Math Newsletter
PK
15
A STORY OF UNITS
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
GPK-M1-TE-1.3.0-05.2015
Spotlight on Math Models
A math model is a way to represent math concepts such as numbers, relationships
between numbers, measurement, or geometry. In Pre-K, students use physical
models, such as counting the Math Way on fingers, as well as math drawings to
engage with math concepts in a way that is appropriate for young children.
A Story of Units has key mathematical models that will be used throughout a
student’s elementary years. Introducing children to appropriate models in Pre-K
sets a foundation for success in elementary school and beyond.
Sample Chant
(from Module 1, Lesson 4)
Students point to the parts of
the body as they say the
chant.
In this activity, students
extend their understanding of
matching to recognize that
they have two parts of their
body that are “the same
but....”
Counting the Math Way
In the second half of Module 1, children learn to count from 1 to 5 the
Math Way, starting with the left pinky finger and moving toward the
thumb.
In counting the Math Way, students see the number of fingers increase as
they count from 1 to 5, moving from left pinky to thumb without
interruption. Counting in this way orients the count from left to right, in
exactly the same way that the number line is usually drawn.
Unfortunately, the traditional way of counting by starting with the index
finger and ending with the thumb does not give a sense of direction
consistent with written math conventions.
Counting the Math Way provides a foundation for understanding the
number path and number line, which by convention, usually are drawn so
that they increase from left to right. This builds number sense and
prepares children for future work with addition and subtraction.
Children begin counting the Math Way using the piano template pictured
above, dropping their fingers as they count. Throughout the year,
students will learn to lift their fingers to count the Math Way.
In Module 3, students count from 6 to 10 the Math Way, beginning with
the right thumb through to the right pinky. By the end of the year, Pre-K
students count to 10 on their fingers, moving from the left pinky to the
right pinky.
Module 1: Counting to 5
Family Math Newsletter
PK
16
A STORY OF UNITS
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
GPK-M1-TE-1.3.0-05.2015
Words and Key Terms
Grade PK • Module 1 • Topics E–H
Family Math Newsletter
Numbers to 5
In the second half of Module 1, children touch and count groups of
up to five objects arranged in different ways. They learn to match
their count to a numeral 15. Children also see patterns in the
counting sequence. When counting forward, they see each
number is 1 more: One. One more is 2. Two. One more is 3.
Vocabulary
After
Count
Group
Line
Number
Sort
New Terminology
1 more
1 less
The Math Way (count on fingers
from left pinky to right pinky)
How many?
Mark (show start of counting
path)
How to Help at Home
Touch and count up to five objects
together. At snack time, say, “1, 2, 3, 4,
5. You have 5 crackers.” Move the
crackers into a line or a circle and count
again.
Buy or make a set of numerals 15 (paper, foam, or magnets
work well). When getting dressed, ask, “Which number shows
how many shoes you are wearing?”
Point out and name numerals in everyday experiences. While
riding an elevator, ask, “Which button has the number 4?”
Sing songs that involve counting forward or back, such as The
Ants Go Marching,” “This Old Man,Five Little Ducks Went
Out to Play, or “Five Little Monkeys Jumping on the Bed.
Key Standards
Know number names and the
count sequence.
Count to tell the number of
objects.
Understand that each successive
number name refers to a quantity
that is 1 larger.
Looking Back
We learned to sort and practiced
touchin
g and counting groups of up to
three
objects.
Looking Ahead
In Module 2, children
identify,
describe, and build shapes.
We will count the number of
people in our families. Please
send a photograph of your family
for our project.
REMINDER: Send
in by _________
Module 1: Counting to 5
Family Math Newsletter
PK
17
A STORY OF UNITS
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
GPK-M1-TE-1.3.0-05.2015
Spotlight on Math Models
A Story of Units has key mathematical models that are used throughout a student’s elementary years. One
of these models is the number stair, a tool students use to model the patterns of 1 more and 1 less in the
count sequence.
Sample Song
(from Module 1, Lesson 29)
The Ants Go Marching
The ants go marching 1 by 1.
Hoorah! Hoorah!
The ants go marching 1 by 1.
Hoorah! Hoorah!
The ants go marching 1 by 1;
The little one stops to suck his
thumb,
And they all go marching
down, to the ground,
To get out of the rain.
BOOM! BOOM! BOOM!
Repeat with numbers 25:
2…tie a shoe
3…climb a tree
4…shut the door
5…take a dive
By participating in a story
situation in which ants join
the group one by one,
students begin to experience
a growth pattern, or a
pattern of 1 more, in a fun
way.
Number Stairs
Students have already used number towers (joined linking cubes) to work
with numbers 1 to 5. At the end of Module 1, children create number
towers for numbers 1 to 5 and place them in order to create number
stairs.
Number stairs make it easy for children to see that each successive
number in the count sequence is 1 more: One. One more is 2. Two. One
more is 3….Conversely, as they count back from 5 (5, 4, 3, 2, 1) children
see the 1 less pattern represented in the number stairs.
This understanding sets the stage for children to understand adding 1 and
subtracting 1, which they will begin to explore at the end of the year. It is
also a prerequisite skill for the counting on strategies used in Grade 1.
Module 1: Counting to 5
Family Math Newsletter
PK
18
A STORY OF UNITS
This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org
GPK-M1-TE-1.3.0-05.2015