Kindergarten Math Curriculum Alignment with State Standards
NM Statute 22-13-1.6.A. Each school district shall align its curricula to meet the state standards for each grade level and subject area so that students who
transfer between public schools within the school district receive the same educational opportunity within the same grade or subject area.
District:
Textbook: Investigations in Num, Data & Space, K
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Kinder Performance Standards
K.N.1.1 Demonstrate an
understanding of the place-value
structure of the base-ten number
system:
a. count with understanding and
recognize “how many” in sets of
objects up to 20
b. read and write whole numbers up
to 20
c. compare and order whole
numbers up to 20
d. connect numerals to the
quantities they represent using
various physical models
e. use an organized counting
method to keep track of quantities
while counting (one-to-one
correspondence) (e.g., touch object
once and only once as counting a
set)
f. order sets of objects and numbers
from least to most or most to least
Kindergarten Textbook Pages
Unit 1: 25-26, 33, 38-39, 48-49, 59-62, 65-66, 83-88, 99,
101-105, 113, 117, 122-123
Unit 2: 27-32, 34-38, 40-42, 44-46, 48-50, 52-54, 56-60,
62-64, 66-70, 72-73, 87, 89, 92-93, 95-99, 101-104, 107109, 111-115, 118-120, 122-125, 129-132, 134-137,
139-141, 143-144, 146-149
Unit 3: 37-38, 48, 62-64, 121, 125-127, 132-133
Unit 4: 36-37, 42, 46, 50, 59-63, 66-70, 72-75, 77-79,
82-84, 91-94, 98, 101-103, 105-108, 110-112, 114-116,
118-120, 136, 141, 144-147, 151, 154-156, 161, 163
Unit 5: 74, 78, 82, 100, 108, 114, 120
Unit 6: 29-34, 36-40, 42-45, 47-49, 51-54, 69-73, 75-78,
82, 84-86, 88-90, 92-94, 101-104, 106-109, 111-114,
116-118, 120-122, 124-127, 129-131, 139-142, 144-145,
147-150, 152-154, 156-158, 160-161
Unit 7: 25-30, 32-36, 38-42, 44-47, 49-52, 54-55, 108,
112
Page 1
K-4 Benchmark N.1: Understand numbers, ways of
representing numbers, relationships among numbers,
and number systems.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Kinder Performance Standards
K.N.2.1 Represent numbers using
pictures, objects, or numerals.
Kindergarten Textbook Pages
Unit 1: 25-26, 33, 38-39, 48-49, 59-62, 65-66, 83-88, 99,
101-105, 113, 117, 122-123
Unit 2: 27-32, 34-38, 40-42, 44-46, 48-50, 52-54, 56-60,
62-64, 66-70, 72-73, 87, 89, 92-93, 95-99, 101-104, 107109, 111-115, 118-120, 122-125, 129-132, 134-137,
139-141, 143-144, 146-149
Unit 3: 37-38, 48, 62-64, 121, 125-127, 132-133
Unit 4: 36-37, 42, 46, 50, 59-63, 66-70, 72-75, 77-79,
82-84, 91-94, 98, 101-103, 105-108, 110-112, 114-116,
118-120, 136, 141, 144-147, 151, 154-156, 161, 163
Unit 5: 74, 78, 82, 100, 108, 114, 120
Unit 6: 29-34, 36-40, 42-45, 47-49, 51-54, 69-73, 75-78,
82, 84-86, 88-90, 92-94, 101-104, 106-109, 111-114,
116-118, 120-122, 124-127, 129-131, 139-142, 144-145,
147-150, 152-154, 156-158, 160-161
Unit 7: 25-30, 32-36, 38-42, 44-47, 49-52, 54-55, 108,
112
Unit 2: 115 (Extension)
Unit 4: 59-63, 66-70, 72-75, 77-79, 101-103, 105-108,
110-112, 114-116, 118-120, 137, 144-146, 151, 154-156,
159, 161, 163
Unit 6: 33, 36-40, 42-45, 101-104, 106-109, 111-113,
116-118, 120-122, 124-127, 129-131, 139-142, 144-145,
147-150, 152-154, 156-158, 160-161
K.N.2.2 Use concrete objects to
solve simple addition and
subtraction story problems (e.g.,
oral not written).
Page 2
K-4 Benchmark N.2: Understand the meaning of
operations and how they relate to one another.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Kinder Performance Standards
K.N.3.1 Estimate quantities of
objects up to 20.
Kindergarten Textbook Pages
Unit 2: 95, 109
Unit 6: 69-70
Online Activity Unit 6: Activity 9
K-4 Benchmark N.3: Compute fluently and make
reasonable estimates.
Supplemental Materials
Page 3
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Kinder Performance Standards
K.A.1.1 Identify the attributes of
objects (e.g., the ability to identify
attributes is a foundational skill for
sorting and classifying).
Kindergarten Textbook Pages
Unit 1: 86-87, 107, 111-112, 116-117, 121-122, 125
Unit 3: 31, 33, 38, 43-44, 48
Unit 7: 63-65, 67-68, 70-74, 76-80, 82-83, 85-87, 92-95
K.A.1.2 Sort, classify, and order
objects by size, number, and other
properties.
Unit 1: 86-87, 107, 111-112, 116-117, 121-122, 125
Unit 2: 129-130, 134-136, 144, 147-148
Unit 3: 31, 33, 38, 43-44, 48
Unit 4: 46-47
Unit 7: 63-65, 67-68, 70-74, 76-80, 82-83, 8587, 92-95
K.A.1.3 Recognize, reproduce,
describe, extend, and create
repeating patterns (e.g., color,
shape, size, sound, movement,
simple numbers).
Unit 1: 28-29, 50-51
Unit 3: 36-37, 41-44, 46-49, 59-62, 64, 66-69, 71-74, 7679, 81-84, 86-89, 91-94, 96-98, 100-102, 104-107, 115118, 120-123, 125-128, 130-131, 135-137, 139-142,
144-146
Unit 7: 41-42, 50
Page 4
K-4 Benchmark A.1: Understand patterns, relations, and
functions.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
K-4 Benchmark A.2: Represent and analyze mathematical
situations and structures using algebraic symbols.
Kinder Performance Standards
K.A.2.1 Use concrete, pictorial, and
verbal representation to develop an
understanding of invented and
conventional symbols.
Kindergarten Textbook Pages
Unit 1: 95, 113, 119
Unit 2: 148
Unit 4: 42
Unit 6: 113-114, 116, 148-150, 163-164 (Teacher Note)
Unit 7: 95, 121
Supplemental Materials
Page 5
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Kinder Performance Standards
K.A.3.1 Model situations that
involve whole numbers using
objects or pictures.
Kindergarten Textbook Pages
Unit 1: 25-26, 33, 38-39, 48-49, 59-62, 65-66, 83-88, 99,
101-105, 113, 117, 122-123
Unit 2: 27-32, 34-38, 40-42, 44-46, 48-50, 52-54, 56-60,
62-64, 66-70, 72-73, 92-93, 95-99, 101-104, 108-109,
111-115, 118-120, 122-125, 129-132, 134-135, 136-137,
139-141, 143-144, 146-149
Unit 3: 37-38, 48, 62-64, 121, 125-127, 132-133
Unit 4: 36-37, 42, 46, 50, 59-63, 66-70, 72-75, 82-84,
91-94, 98, 103, 105-108, 110-112, 115, 136, 141, 144147, 151, 154-156, 161, 163
Unit 5: 74, 78, 82, 100, 108, 114, 120
Unit 6: 29-34, 36-40, 42-45, 47-49, 51-54, 69-73, 75-78,
82, 84-86, 88-90, 92-94, 103, 106-109, 112, 113-114,
117, 120, 125, 130
Unit 7: 25-30, 32-36, 38-42, 44-47, 49-52, 54-55, 108,
112
Page 6
K-4 Benchmark A.3: Use mathematical models to
represent and understand quantitative relationships.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Kinder Performance Standards
K.A.4.1 Verbally describe changes
in various contexts (e.g., plants or
animals growing over time).
Kindergarten Textbook Pages
Students describe qualitative changes in patterns of
shapes, movements, and sounds.
Unit 3: 36-37, 41-44, 46-49, 59-62, 64, 66-69, 71-74, 7679, 81-84, 86-89, 91-94, 96-98, 100-102, 104-107, 115118, 120-123, 125-128, 130-131, 135-137, 139-142,
144-146
Unit 7: 41-42, 50
Page 7
K-4 Benchmark A.4: Analyze changes in various
contexts.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Kinder Performance Standards
K.G.1.1 Identify common objects in
their environments and describe
their geometric features:
a. describe, identify, model, and
draw common geometric objects
(e.g., circle, triangle, square,
rectangle, cube, sphere, cone)
b. compare familiar plane and solid
objects by common attributes (e.g.,
shape, size, number of corners)
Kindergarten Textbook Pages
Unit 1: 28-29, 34, 39, 43, 45, 51, 62-63, 67, 111-113,
125-126
Unit 5: 23-27, 29-32, 34-39, 41-43, 45-49-52, 59-63, 6568, 70-72, 75, 78-79, 81-84, 93-97, 99-103, 105-110,
112-115, 117-120, 122-124, 126-128, 130-132
Page 8
K-4 Benchmark G.1: Analyze characteristics and
properties of two- and three-dimensional geometric
shapes and develop mathematics arguments about
geometric relationships.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Kinder Performance Standards
K.G.2.1 Follow simple directions to
find a specific location in space.
K.G.2.2 Use spatial vocabulary
(e.g., left, right, above, below) to
describe relative position.
Kindergarten Textbook Pages
Unit 1: 28-30, 51
Unit 5: 46, 81-82
Online Activity Unit 5: Activity 4
Unit 1: 28-30, 51
Unit 5: 46, 81-82
Online Activity Unit 5: Activity 4
K-4 Benchmark G.2: Specify locations and describe
spatial relationships using coordinate geometry and
other representational systems.
Supplemental Materials
Page 9
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Kinder Performance Standards
K.G.3.1 Use manipulatives (e.g.,
puzzles, tangrams, blocks) to
demonstrate rotation (i.e., turns),
translations (i.e., slides), and
reflection (i.e., flips).
Kindergarten Textbook Pages
Unit 5: 67, 82
Online Activity Unit 5: Activity 5
K.G.3.2 Investigate the symmetry
of two-dimensional shapes (e.g., by
folding or cutting paper, using
mirrors).
Symmetry concepts can be incorporated with Unit 5:
Make a Shape, Build a Block:
p. 27 Activity 3
p. 36 Math Workshop 2A
p. 46 Activity 2
pp. 60-61 Activity 1
p. 65 Activity 1
p. 66 Math Workshop 3A
Online Activity Unit 5: Activity 6
K-4 Benchmark G.3: Apply transformations and use
symmetry to analyze mathematical situations.
Supplemental Materials
Page 10
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
K-4 Benchmark G.4: Use visualization, spatial reasoning,
and geometric modeling to solve problems.
Kinder Performance Standards
K.G.4.1 Describe how to get from
one location to another (e.g., how to
get to the library).
Kindergarten Textbook Pages
Students use tools and commands to manipulate and
move shapes on a computer screen.
Unit 5: 66-68, 75, 78, 81, 83, 100, 108, 114, 119, 123
Online Activity Unit 5: Activity 4
Unit 5: 24, 26-27, 59-63, 79, 93-97, 100, 108-110
Student Math Handbook Flipchart: 39
Supplemental Materials
K.G.4.2 Find and describe
geometric shapes in nature or
architecture.
Page 11
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
Kinder Performance Standards
K.M.1.1 Describe and compare,
using appropriate concepts and
vocabulary, the measurable
properties of length (e.g., shorter,
longer, taller), volume (e.g., full,
empty), weight (e.g., heavy, light),
and time (e.g., before, after,
morning, afternoon, days of week).
K.M.1.2 Use tools to make
predictions (e.g., using a balance
scale, predicting how many cups a
container will hold and then filling it
to check the prediction).
K.M.1.3 Measure using nonstandard units of measurement
(e.g., use pencils to measure desk
top, use different lengths of rope to
measure distance in classroom).
K.M.1.4 Use digital and analog
(face) clocks to tell time to the hour.
Kindergarten Textbook Pages
Unit 2: 83-87, 89-90, 92, 106-107, 115, 119, 122-127,
134-135, 144, 147
Unit 4: 29-32, 34-37, 39-44, 46-47, 49-52, 63-64, 70,
163
Unit 6: 80-82, 85, 89, 93
Unit 2: 83, 122-123
Unit 4: 34, 43, 59-60
Unit 2: 83-87, 89-90, 92, 106-107, 115, 119, 122-127,
134-135, 144, 147
Unit 4: 29-32, 34-37, 39-44, 46-47, 49-52, 63-64, 70,
163
Unit 6: 80-82, 85, 89, 93
Unit 2: 83-87, 89-90, 92, 106-107, 115, 119, 122-127,
134-135, 144, 147
Unit 4: 29-32, 34-37, 39-44, 46-47, 49-52, 63-64, 70,
163
Unit 6: 80-82, 85, 89, 93
Page 12
K-4 Benchmark M.1: Understand measurable attributes of
objects and the units, systems, and processes of
measurement.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
K-4 Benchmark M.2: Apply appropriate techniques, tools,
and formulas to determine measurements.
Kinder Performance Standards
K.M.2.1 Explore measuring objects
using a repeating non-standard unit
of measurement (e.g., paper clips,
cubes, etc.).
Kindergarten Textbook Pages
Unit 2: 83-87, 89-90, 92, 106-107, 115, 119, 122-127,
134-135, 144, 147
Unit 4: 29-32, 34-37, 39-44, 46-47, 49-52, 63-64, 70,
163
Unit 6: 80-82, 85, 89, 93
Supplemental Materials
Page 13
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Kinder Performance Standards
K.D.1.1 Collect data about objects
and events in the environment to
answer simple questions (e.g.,
brainstorm questions about self and
surroundings, collect data, and
record the results using objects,
pictures, and pictographs).
Kindergarten Textbook Pages
Unit 1: 95-99, 117-119
Unit 2: 111-116, 134-137, 146-149
Unit 7: 25-30, 34-35, 89-95, 101-105, 107-110, 112-113,
115-118, 120-121
Page 14
K-4 Benchmark D.1: Formulate questions that can be
addressed with data and collect, organize, and display
relevant data to answer them.
Supplemental Materials
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
K-4 Benchmark D.2: Select and use appropriate statistical
methods to analyze data.
Kinder Performance Standards
K.D.2.1 Describe simple data and
pose questions about the data.
Kindergarten Textbook Pages
Unit 1: 95-99, 117-119
Unit 2: 111-116, 134-137, 146-149
Unit 7: 25-30, 34-35, 89-95, 101-105, 107-110, 112-113,
115-118, 120-121
Supplemental Materials
Page 15
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
K-4 Benchmark D.3: Develop and evaluate inferences and
predictions that are based on data.
Kinder Performance Standards
K.D.3.1 Make simple predictions.
Kindergarten Textbook Pages
Unit 1: 95-99, 117-119
Unit 2: 148
Unit 3: 86-89, 92, 97, 105
Unit 7: 29-30, 34-35, 89-95, 101-105, 107-110, 112-113,
115-118, 120-121
Supplemental Materials
Page 16
Month(s) when Addressed
Kindergarten Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & Space, K
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Kinder Performance Standards
K.D.4.1 Answer questions that
relate to the possibility of familiar
events happening or not.
Kindergarten Textbook Pages
Online Activity Unit 7: Activity 23
K-4 Benchmark D.4: Understand and apply basic
concepts of probability.
Supplemental Materials
Page 17
Month(s) when Addressed