Grade 4 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 & SpaceG4
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Grade 4 Performance Standards
4.N.1.1 Exhibit an understanding of
the place-value structure of the
base-ten number system by
reading, modeling, writing, and
interpreting whole numbers up to
100,000; compare and order the
numbers:
a. recognize equivalent
representations for the same
number and generate them by
decomposing and combining
numbers (e.g., 853 = 8 x 100 + 5 x
10 + 3; 853 = 85 x 10 + 3; 853 =
900 – 50 + 3)
b. identify the numbers less than 0
by extending the number line and
using negative numbers through
familiar applications (e.g.,
temperature, money)
Grade 4 Textbook Pages
Unit 1: 26-52, 58-84, 88-114
Unit 2: 23-24
Unit 3: 28-54, 60-92, 96-120, 124-150
Unit 5: 28-56, 60-94, 100-126, 132-166
Unit 6: 24-62, 68-98, 104-138
Unit 8: 26-58, 62-84, 88-112
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
4.N.1.2 Identify fractions as parts of
unit wholes, as parts of groups, and
as locations on number lines:
a. use visual models and other
strategies to compare and order
commonly used fractions
b. use models to show how whole
numbers and decimals (to the
hundredths place) relate to simple
fractions (e.g., ½, 5/10, 0.5)
c. identify different interpretations of
fractions:
•division of whole numbers by
whole numbers
• ratio
• equivalence
• ordering of fractions
• parts of a whole or parts of a set
4.N.1.3 Add and subtract fractions
with common and uncommon
denominators using a variety of
strategies (e.g., manipulatives,
numbers, pictures):
a. recognize and generate
equivalent decimal forms of
commonly used fractions (e.g.,
halves, quarters, tenths, fifths)
b. identify the numbers less than 0
by extending the number line and
using negative numbers through
familiar applications (e.g.,
temperature, money)
4.N.1.4 Recognize classes of
numbers (e.g., odd, even, factors,
multiples, square numbers) and
apply these concepts in problemsolving situations.
Unit 4: 122-123
Unit 6: 25-31, 33-36, 38-40, 42-46, 48-51, 53-57, 59-62,
69-73, 75-77, 79-82, 84-87, 89-93, 95-97, 136-137
Unit 5 : 17, 40, 52, 56, 114-115, 121, 123
Unit 6: 53-57, 59-62, 69, 105-110, 112-115, 117-119,
121-126, 128-131, 133-134, 136-137
Unit 1: 33-37, 39-41, 43-46, 48-52, 69-75, 77-79, 81-83,
89-95, 97-104, 106-111, 113-114
Unit 3: 61-64, 66-71, 73-76, 78-83, 85-87, 89-91, 97104, 106-110, 112-115
Unit 8: 46-52, 54, 73, 77, 81, 84, 94-98, 100-101, 104
Page 2
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Grade 4 Performance Standards
4.N.2.1 Demonstrate an
understanding of and the ability to
use:
a. standard algorithms for the
addition and subtraction of multidigit numbers
b. standard algorithms for
multiplying a multi-digit number by a
two-digit number and for dividing a
multi-digit number by a one-digit
number
4.N.2.2 Select and use appropriate
operations (addition, subtraction,
multiplication, and division) to solve
problems.
Grade 4 Textbook Pages
Unit 3: 29-33, 48-50, 52-54, 61-64, 66-71, 73-76, 78-83,
85-87, 89-91, 106-110, 112-115, 117-120, 132-135, 137143
Unit 5: 61-65, 67-71, 73-78, 80-85, 87-90, 92-93, 118121, 123-125, 133-137, 139-143, 145-149, 151-154,
156-158, 160-162, 164-165
Unit 8: 27-31, 33-38, 46-52, 54-58, 69-73, 75-77, 79-81,
83-84, 89-92, 94-98, 100-101, 103-105, 107-109
Unit 1: 28-31, 33-37, 39-41, 43-46, 48-52, 59-63, 65-67,
69-75, 77-79, 81-83, 89-95, 97-104, 106-111, 113-114
Unit 3: 29-33, 35-41, 43-45, 47-50, 52-54, 61-64, 66-71,
73-76, 78-83, 85-87, 89-91, 106-110, 112-115, 117-120,
132-135, 137-143
Unit 5: 61-65, 67-71, 73-78, 80-85, 87-90, 92-93, 118-121,
123-125, 133-137, 139-143, 145-149, 151-154, 156-158, 160162, 164-165
Unit 8: 27-31, 33-38, 46-52, 54-58, 69-73, 75-77, 79-81, 8384, 89-92, 94-98, 100-101, 103-105, 107-109
4.N.2.3 Extend the uses of whole
numbers to the addition and
subtraction of simple decimals
(positive numbers to two places).
4.N.2.4 Demonstrate commutative,
associative, identity, and zero
properties of operations on whole
numbers (e.g., 37 x 46 = 46 x 37
and (6 x 2) x 5 = 6 x (2 x 5)).
4.N.2.5 Demonstrate the concept of
distributivity of multiplication over
addition and subtraction (e.g., 7 x
28 is equivalent to (7 x 20) + (7 x 8)
or (7 x 30) - (7 x 2)).
Unit 6: 117-119, 121-126, 128-131, 133-134, 136-137
Unit 1: 43-44, 61-62, 71-73, 80-83, 90, 92-95, 98-99,
108-110
Unit 3: 30-33, 35-41, 43-45, 47-50, 52-54, 130-135, 141143, 146
Unit 8: 36-38, 40-44, 69-73, 75-76, 80, 83-84
Unit 1: 43-44, 61-62, 71-73, 80-83, 90, 92-95, 98-99,
108-110
Unit 3: 30-33, 35-41, 43-45, 47-50, 52-54, 130-135, 141143, 146
Unit 8: 36-38, 40-44, 69-73, 75-76, 80, 83-84
Page 3
K-4 Benchmark N.2: Understand the meaning of
operations and how they relate to one another.
Supplemental Materials
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: NUMBER AND
OPERATIONS
Standard: Students will understand numerical
concepts and mathematical operations.
Grade 4 Performance Standards
4.N.3.1 Demonstrate multiplication
combinations through 12 x 12 and
related division facts, and use them
to solve problems mentally and
compute related problems (e.g., 4 x
5 is related to 40 x 50, 400 x 5, and
40 x 500).
4.N.3.2 Add, subtract, and multiply
up to two double-digits accurately
and efficiently.
Grade 4 Textbook Pages
Unit 1: 43-44, 61-62, 71-73, 80-83, 90, 92-95, 98-99,
108-110
Unit 3: 30-33, 35-41, 43-45, 47-50, 52-54, 130-135, 141143, 146
Unit 8: 36-38, 40-44, 69-73, 75-76, 80, 83-84
4.N.3.3 Use a variety of strategies
(e.g., rounding and regrouping) to
estimate the results of whole
number computations and judge the
reasonableness of the answers.
4.N.3.4 Use strategies to estimate
computations involving fractions
and decimals.
Unit 1: 28-31, 33-37, 39-41, 43-46, 48-52, 59-63, 65-67,
69-75, 77-79, 81-83, 89-95, 97-104, 106-111, 113-114
Unit 3: 29-33, 35-41, 43-45, 47-50, 52-54, 61-64, 66-71,
73-76, 78-83, 85-87, 89-91, 106-110, 112-115, 117-120,
132-135, 137-143
Unit 5: 61-65, 67-71, 73-78, 80-85, 87-90, 92-93, 118121, 123-125, 133-137, 139-143, 145-149, 151-154,
156-158, 160-162, 164-165
Unit 8: 27-31, 33-38, 46-52, 54-58, 69-73, 75-77, 79-81,
83-84, 89-92, 94-98, 100-101, 103-105, 107-109
Unit 5: 34, 36, 87-90, 93, 123, 143, 147, 157-158, 160
Unit 8: 27-31, 33-34, 51-52
Students can estimate before computing fractions and
decimals on these pages:
Student Activity Book Unit 6: 20, 24, 60, 61
Unit 6: 60
Page 4
K-4 Benchmark N.3: Compute fluently and make
reasonable estimates.
Supplemental Materials
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Grade 4 Performance Standards
4.A.1.1 Represent and analyze
patterns and simple functions using
words, tables, and graphs.
4.A.1.2 Create and describe
numeric and geometric patterns
including multiplication and division
patterns.
4.A.1.3 Express mathematical
relationships using equations.
Grade 4 Textbook Pages
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
4.A.1.4 Use and interpret variables,
mathematical symbols, and
properties to write and simplify
expressions and sentences:
a. use letters, boxes, or other
symbols to stand for any number in
simple expressions or equations
(e.g., demonstrate an
understanding of the concept of a
variable)
b. interpret and evaluate
mathematical expressions using
parentheses
c. use and interpret formulas (e.g.,
Area = Length x Width or A = L x W)
to answer questions about
quantities and their relationships
Unit 1: 28-31, 33-37, 39-41, 43-46, 48-52, 59-63, 65-67,
69-75, 77-79, 81-83, 89-95, 97-104, 106-111, 113-114
Unit 3: 29-33, 35-41, 43-45, 47-50, 52-54, 61-64, 66-71,
73-76, 78-83, 85-87, 89-91, 106-110, 112-115, 117-120,
132-135, 137-143
Unit 5: 61-65, 67-71, 73-78, 80-85, 87-90, 92-93, 118121, 123-125, 133-137, 139-143, 145-149, 151-154,
156-158, 160-162, 164-165
Unit 8: 27-31, 33-38, 46-52, 54-58, 69-73, 75-77, 79-81,
83-84, 89-92, 94-98, 100-101, 103-105, 107-109
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
Unit 2: 23-24
Unit 6: 34-36, 48-50, 55-56, 89-93, 95-97
Page 5
K-4 Benchmark A.1: Understand patterns, relations, and
functions.
Supplemental Materials
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
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.
Grade 4 Performance Standards
4.A.2.1 Identify symbols and letters
that represent the concept of a
variable as an unknown quantity.
Grade 4 Textbook Pages
To solve problems involving missing information,
students focus on devising multiple strategies, often
breaking apart the problem into several steps and
applying inverse operations and other properties.
Algebraic symbols could be used for missing
information, occasionally represented by a question
mark or an underscore in the student text.
Sample References:
Unit 3: 75, 79, 85, 119
Students apply a variety of properties of operations as
they employ the strategies of breaking apart numbers in
a multiplication problem and using multiplication
clusters.
Unit 1: 43-44, 61-62, 71-73, 80-83, 90, 92-95, 98-99,
108-110
Unit 3: 30-33, 35-41, 43-45, 47-50, 52-54, 130-135, 141143, 146
Unit 8: 36-38, 40-44, 69-73, 75-76, 80, 83-84
Unit 2: 23-24
Unit 6: 34-36, 48-50, 55-56, 89-93, 95-97
To solve problems involving missing information,
students focus on devising multiple strategies, often
breaking apart the problem into several steps and
applying inverse operations and other properties.
Algebraic symbols could be used for missing
information, occasionally represented by a question
mark or an underscore in the student text.
Sample References:
Unit 3: 75, 79, 85, 119
Unit 4: 67-69, 72-73, 83, 98-99, 105-106, 114-115, 117119, 128-132, 136-140, 142-145, 147-148
Unit 7: 77-80, 82-84, 86-90, 92-93, 95-96
Unit 9: 59, 63, 72-75, 94-95, 98-102, 138, 142, 159-160
Supplemental Materials
4.A.2.2 Explore the uses of
properties (commutative,
distributive, associative) in the
computation of whole numbers.
4.A.2.3 Express mathematical
relationships using equations.
4.A.2.4 Determine the value of
variables in simple equations (e.g.,
80 x 15 = 40 x ›).
4.A.2.5 Develop simple formulas in
exploring quantities and their
relationships (e.g., A = L x W).
Page 6
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Grade 4 Performance Standards
4.A.3.1 Solve problems involving
proportional relationships (including
unit pricing and map interpretations;
e.g., one inch = five miles;
therefore, five inches = • miles).
4.A.3.2 Model problem situations
and use graphs, tables, pictures,
and equations to draw conclusions
(e.g., different patterns of change).
4.A.3.3 Use and interpret formulas
(e.g., Area = Length x Width or A =
L x W) to answer questions about
quantities and their relationships.
Grade 4 Textbook Pages
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
Unit 4: 67-69, 72-73, 83, 98-99, 105-106, 114-115, 117119, 128-132, 136-140, 142-145, 147-148
Unit 7: 77-80, 82-84, 86-90, 92-93, 95-96
Unit 9: 59, 63, 72-75, 94-95, 98-102, 138, 142, 159-160
Page 7
K-4 Benchmark A.3: Use mathematical models to
represent and understand quantitative relationships.
Supplemental Materials
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: ALGEBRA
Standard: Students will understand algebraic
concepts and applications.
Grade 4 Performance Standards
4.A.4.1 Identify and describe
situations with constant or varying
rates of change and compare them.
Grade 4 Textbook Pages
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
4.A.4.2 Determine how a change in
one variable relates to a change in
a second variable (e.g., data tables,
input-output machines).
4.A.4.3 Find and analyze patterns
using data tables (e.g., T tables).
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
4.A.4.4 Demonstrate and describe
varying rates of change in relation
to real-world situations (e.g., plant
growth, students’ heights).
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
Unit 9: 47-53, 55-67, 69-75, 77-83, 85-90, 92-96, 98102, 130-131
Page 8
K-4 Benchmark A.4: Analyze changes in various
contexts.
Supplemental Materials
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 4 Performance Standards
4.G.1.1 Identify, compare, and
analyze attributes of two- and threedimensional shapes and develop
vocabulary to describe the
attributes:
a. build, draw, create, and describe
geometric objects
b. identify lines that are parallel or
perpendicular
c. identify and compare congruent
and similar figures
4.G.1.2 Classify two- and threedimensional shapes according to
their properties and develop
definitions of classes like triangles
and pyramids:
a. visualize, describe, and make
models of geometric solids in terms
of the number of faces, edges, and
vertices
b. interpret two-dimensional
representations of threedimensional objects
4.G.1.3 Make and test conjectures
about geometric properties and
relationships and develop logical
arguments to justify conclusions.
Grade 4 Textbook Pages
Unit 4: 55-59, 61-65, 67-73, 75-79, 81-83, 113-115, 147148
Unit 7: 23-26, 28-32, 34-39, 41-43, 49-54, 56-59, 61-63,
65-68, 70-72, 77-80, 82-84, 86-90, 92-93, 95-96
Unit 4: 55-59, 61-65, 67-73, 75-79, 81-83, 113-115, 147148
Unit 7: 23-26, 28-32, 34-39, 41-43, 49-54, 56-59, 61-63,
65-68, 70-72, 77-80, 82-84, 86-90, 92-93, 95-96
Unit 4: 55-59, 61-65, 67-73, 75-79, 81-83, 113-115, 147148
Unit 7: 23-26, 28-32, 34-39, 41-43, 49-54, 56-59, 61-63,
65-68, 70-72, 77-80, 82-84, 86-90, 92-93, 95-96
Page 9
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
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 4 Performance Standards
4.G.2.1 Describe location and
movement using common language
and geometric vocabulary.
4.G.2.2 Use ordered pairs to graph,
locate, identify points, and describe
paths in the first quadrant of the
coordinate plane.
4.G.2.3 Use a variety of methods
for measuring distances between
locations on a grid.
Grade 4 Textbook Pages
Unit 4: 35-36, 123-124, 126
K-4 Benchmark G.2: Specify locations and describe
spatial relationships using coordinate geometry and
other representational systems.
Supplemental Materials
Unit 4: 35-36, 123-124, 126
Unit 9: 27-33, 35-39, 69-75, 92-96, 107-113, 115-118,
120-123, 125-128, 130-131
Unit 4: 35-36, 123-124, 126
Unit 9: 27-33, 35-39, 69-75, 92-96, 107-113, 115-118,
120-123, 125-128, 130-131
Page 10
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: GEOMETRY
Standard: Students will understand geometric
concepts and applications.
Grade 4 Performance Standards
4.G.3.1 Create and describe
rotational designs using language of
transformational symmetry.
4.G.3.2 Describe a motion or set of
motions that will show that two
shapes are congruent.
Grade 4 Textbook Pages
Unit 4: 35-36, 113-115, 117-120, 122-123, 125-126, 147
Supplemental Materials
Transformations could be incorporated in lessons on
symmetry.
Sample references:
Unit 4: 35-36, 113-115, 117-120, 122-123, 125-126, 147
Students perform motions in a
coordinate plane using the
LogoPaths program.
Page 11
K-4 Benchmark G.3: Apply transformations and use
symmetry to analyze mathematical situations.
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
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.
Grade 4 Performance Standards
4.G.4.1 Develop and use mental
images of geometric shapes to
solve problems (e.g., represent
three-dimensional shapes in two
dimensions).
4.G.4.2 Use geometric models
such as number lines, arrays, and
computer simulations to investigate
number relationships (e.g.,
patterns).
Grade 4 Textbook Pages
Unit 4: 55-59, 61-65, 67-73, 75-79, 81-83, 113-115, 147148
Unit 7: 23-26, 28-32, 34-39, 41-43, 49-54, 56-59, 61-63,
65-68, 70-72, 77-80, 82-84, 86-90, 92-93, 95-96
Supplemental Materials
4.G.4.3 Explore relationships
involving perimeter and area:
a. measure area of rectangular
shapes and use appropriate units
b. recognize that area can have the
same perimeter but different areas
and vice versa
c. use models and formulas to solve
problems involving perimeter and
area of rectangles and squares
(e.g., arrays)
Unit 1: 10-11, 27-31, 33-37, 39-41, 43-46, 48-51, 116119 (Teacher Notes), 124-131 (Teacher Notes and
Dialogue Boxes)
Unit 4: 35-36, 123-124, 126
Unit 5: 16-18, 44, 46-48, 68, 133-134, 139-140, 153,
169-171 (Teacher Notes), 184-187 (Teacher Notes)
Unit 4: 23, 34-38, 42, 48, 67-69, 72, 83, 98-99, 105-106,
114-115, 117-119, 128-132, 136-140, 142-145, 147-148
Page 12
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
Grade 4 Performance Standards
4.M.1.1 Select the appropriate type
of unit for measuring perimeter and
size of an angle.
4.M.1.2 Understand the need for
measuring with standard units and
become familiar with the standard
units in customary and metric
system.
4.M.1.3 Identify the inverse
relationship between the size of the
units and the number of units.
4.M.1.4 Develop formulas to
determine the surface areas of
rectangular solids.
4.M.1.5 Develop, understand, and
use formulas to find the area of
rectangles and related triangles and
parallelograms.
4.M.1.6 Carry out simple
conversions within a system of
measurement (e.g., hours to
minutes, meters to centimeters).
Grade 4 Textbook Pages
Unit 4: 23, 34-38, 42, 48, 59, 67-69, 72, 83, 89-93, 95101, 103-108, 147-148
K-4 Benchmark M.1: Understand measurable attributes of
objects and the units, systems, and processes of
measurement.
Supplemental Materials
Unit 2: 31-35, 37-40, 42-45
Unit 4: 23-27, 29-32, 34-35, 37-40, 42-46, 48-49
Unit 6: 121-126
Unit 9: 107-113, 115-118
Unit 2: 31
Unit 4: 23-27, 29-30, 34-35
Students calculate the volumes of rectangular boxes.
Unit 7: 77-80, 82-84, 86-90, 92-93, 95-96
Unit 4: 23, 114-115, 117-119, 128-132, 136-140, 142145, 147-148
Unit 2: 31
Unit 4: 23-27, 29-30, 34-35
Page 13
An Online Activity that teaches
this objective will be available.
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: MEASUREMENT
Standard: Students will understand measurement
systems and applications.
K-4 Benchmark M.2: Apply appropriate techniques, tools,
and formulas to determine measurements.
Grade 4 Performance Standards
4.M.2.1 Estimate perimeters, areas
of rectangles, triangles, and
irregular shapes.
4.M.2.2 Find the area of rectangles,
related triangles, and
parallelograms.
4.M.2.3 Estimate, measure, and
solve problems involving length,
area, mass, time, and temperature
using appropriate standard units
and tools.
4.M.2.4 Identify common
measurements of turns (e.g., 360
degrees in one turn, 90 degrees in a
quarter-turn).
4.M.2.5 Compute elapsed time and
make and interpret schedules.
Grade 4 Textbook Pages
Unit 4: 34-35, 37-38, 42, 48
Supplemental Materials
4.M.2.6 Use tools to measure
angles (e.g., protractor, compass).
Unit 4: 23, 114-115, 117-119, 128-132, 136-140, 142145, 147-148
Unit 2: 31-35, 37-40, 42-45
Unit 4: 23-27, 29-32, 34-35, 37-40, 42-46, 48-49
Unit 6: 121-126
Unit 9: 107-113, 115-118
Unit 4: 35-36, 67-69
Students explore concepts of time as they review graphs
of speed and temperature data versus time and measure
plant growth at fixed intervals over a period of time.
(See Unit 9: Penny Jars and Plant Growth Sessions 1.1,
1.2, 3.1, 3.2.)
Unit 4: 59, 89-93, 95-101, 103-108, 147-148
Page 14
Online Activity Unit 8: Activities
55, 56
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Grade 4 Performance Standards
4.D.1.1 Organize, represent, and
interpret numerical and categorical
data and clearly communicate
findings:
a. choose and construct
representations that are appropriate
for the data set
b. recognize the differences in
representing categorical and
numerical data
4.D.1.2 Design investigations and
represent data using tables and
graphs (e.g., line plots, bar graphs,
line graphs).
Grade 4 Textbook Pages
Unit 2: 39, 68-70, 72-73, 82-89, 110-111, 114, 118-119
Unit 9: 27-33, 35-39, 70-72, 92-95, 107-113, 115-118,
120-123, 130-131
Unit 2: 25-29, 31-35, 37-40, 42-45, 47-50, 57-61, 63-66,
68-70, 72-73, 76-80, 82-86, 88-90, 109, 118-119
Unit 9: 107-113, 115-118, 120-123, 130-131
Page 15
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
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
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.
Grade 4 Performance Standards
4.D.2.1 Compare and describe
related data sets.
Grade 4 Textbook Pages
Unit 2: 25-29, 31-35, 37-40, 42-45, 47-50, 57-61, 63-66,
68-70, 72-73, 76-80, 82-86, 88-90, 109, 118-119
Unit 9: 27-33, 35-39, 70-72, 92-95, 107-113, 115-118,
120-123, 130-131
Unit 2: 47-50, 77, 82-83, 121-122 (Teacher Note), 125126 (Teacher Note), 147-148 (Dialogue Box)
Supplemental Materials
4.D.2.2 Use the concepts of
median, mode, maximum, minimum,
and range and draw conclusions
about a data set.
4.D.2.3 Use data analysis to make
reasonable inferences/predictions
and to develop convincing
arguments from data described in a
variety of formats (e.g. bar graphs,
Venn diagrams, charts, tables, line
graphs, and pictographs).
Unit 2: 25-29, 31-35, 37-40, 42-45, 47-50, 57-61, 63-66,
68-70, 72-73, 76-80, 82-86, 88-90, 109, 118-119
Unit 9: 27-33, 35-39, 70-72, 92-95, 107-113, 115-118,
120-123, 130-131
Page 16
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
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.
Grade 4 Performance Standards
4.D.3.1 Propose and justify
conclusions and predictions based
on data.
Grade 4 Textbook Pages
Unit 2: 25-29, 31-35, 37-40, 42-45, 47-50, 57-61, 63-66,
68-70, 72-73, 76-80, 82-86, 88-90, 109, 118-119
Unit 9: 27-33, 35-39, 70-72, 92-95, 107-113, 115-118,
120-123, 130-131
Supplemental Materials
4.D.3.2 Develop convincing
arguments from data displayed in a
variety of formats.
Unit 2: 25-29, 31-35, 37-40, 42-45, 47-50, 57-61, 63-66,
68-70, 72-73, 76-80, 82-86, 88-90, 109, 118-119
Unit 9: 27-33, 35-39, 70-72, 92-95, 107-113, 115-118,
120-123, 130-131
Page 17
Month(s) when Addressed
Grade 4 Math Curriculum Alignment with State Standards
District:
Textbook: Investigations in Num, Data & SpaceG4
Strand: DATA ANALYSIS AND
PROBABILITY
Standard: Students will understand how to
formulate questions, analyze data, and determine
probabilities.
Grade 4 Performance Standards
4.D.4.1 Describe events as “likely,”
“unlikely,” or “impossible” and
quantify simple probability
situations:
a. represent all possible outcomes
for a simple probability situation in
an organized way (e.g., tables,
grids, tree diagrams)
b. express outcomes of
experimental probability situations
verbally and numerically (e.g., three
out of four, ¾)
4.D.4.2 List all the possible
combinations of objects from three
sets (e.g., spinners, number of
outfits from three different shirts,
two skirts, and two hats).
Grade 4 Textbook Pages
Unit 2: 95-100, 102-106, 108-112, 114-116, 118-119
K-4 Benchmark D.4: Understand and apply basic
concepts of probability.
Supplemental Materials
Online Activity Unit 2: Activity
9
Page 18
Month(s) when Addressed