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Math Programs Quick Reference
McGraw-Hill School Education Group publishes several types of intervention math programs to meet your student needs. Below is a chart that
provides a quick overview, facts, time allocations, appropriate student base, and content.
Math Triumphs
Program
Type
Overview
Appropriate
for
Number Worlds
Intervention
Intervention
A Tier III
intervention
program designed
around the NCTM
Focal Points that
helps students to
master the
foundational skills
and concepts from
prior grades that
are prerequisites to
the current Gradelevel Focal Points.
Students in Grades
K-12 who are 2 or
more grade levels
behind in Math
An intensive
prevention/
intervention
program
PreK-6 students
who are 1 or more
levels behind in
math
PinPoint
Math
Supplemental
Intervention
An intervention
program that
Incorporates
diagnostic
assessment,
targeted
instruction and
progress
monitoring.
Connecting
Math Concepts
DI
Alternative Basal
A complete
teacher-directed
basal program
that helps
students to
compute, solve
problems, and
think
mathematically.
Students in
grades 1-7, who
are 2 or more
grade levels
behind
Grades K-8
Replacement for
core program
Corrective Math
Math Laboratories
DI Intervention
Self-paced
Supplemental
A box of 300
leveled,
supplemental
activity cards
A flexible,
strategic,
intensive
modular units
that supports a
core math
program
Grade 3-Adult
students who are
working below
grade level
Grades 4-6
students who need
practice &
reinforcement
Time
50-minute lessons
Average of 6
lessons per chapter
20 and 30-day
summer school
pacing guides
provided in the
Implementation
Guide
30-45-minute
lessons
30-45 minute
lessons
30-55 minute
lessons
25-45 minute
lessons
20-30 minutes
Levels A-C
30-week course
Varied: Student
booklet pages
and online
computer tutorials
are based on
individual needs.
A year long
curriculum
Modules are 5570 lessons with a
lesson taught per
day
Self-paced and
ongoing
Levels D-H
Six 4-week units per
grade
Levels Lessons
A-D
120
E
125
Bridge
70
F
100
Quick Facts
Math Triumphs
Number Worlds
The first and only
NCTM intervention
program designed
around the NCTM
Focal Points
Prevention:
Levels A-B for PreKK
4-color consumable
Student Study
Guide worktexts
focus on the
foundational skills
and concepts of the
Grade Level NCTM
Focal Points.
Each chapter
begins with a
diagnostic
assessment to
identify concepts
and skills students
may need to review
or reinforce before
introducing the new
chapter.
Designed for use in
after-school,
before-school,
summer school,
intercession,
tutoring, or pull-out
resource rooms.
Level C for
Grade 1
Intervention:
Levels D-H for
Grades 2-6 working
on
K-4 levels
Placement tests
pinpoint the exact
lesson where
students need to
begin in the
program.
PinPoint
Math
Intervention:
Levels A-G for
Grades 1-7
Each grade is
broken into 6
volumes.
Connecting
Math Concepts
Levels:
A : Grades K-1
B: Grades 1-2
C: Grades 2-3
D: Grades 4-8
E: Grades 5-8
Bridge: Gr 6-8
F: Grades 6-8
A pretest is given
to all students.
The teacher
prepares
individual or
group
assignments
based on test
results.
There is a
placement test
for each level to
determine
whether students
have prerequisite
skills needed for
the program.
Students
complete the
introduction page
with teacher
assistance.
The lessons are
scripted and can
be taught in small
groups or whole
class.
Students
complete, Topic
Summary, Mixed
Review, and
Progress
Monitoring pages.
Corrective Math
Math Laboratories
Modules:
•
Addition
•
Subtractio
n
•
Multiplicati
on
•
Addition
•
Basic
Fractions
•
Fractions,
Decimals, &
Percents
•
Ratios and
Equations
Levels:
2a: Grade 4
2b: Grade 5
2c: Grade 6
A comprehensive
placement test
identifies which
module and
lesson a student
needs to start.
The lessons are
scripted.
A placement test is
used to determine
where each student
should start.
Students work at
their own pace,
check their own
answers, and
monitor their own
progress—taking
ownership for their
learning and
developing
independence.
Content
Math Triumphs
Number Worlds
Grade-leveled
intervention designed
to focus on
prerequisite skills
needed to be
successful in each
grade level
Modular Units
•
Counting,
Single digit
numbers,
Number
Concept/
Symbol link
•
Number
Sense
•
Number
Patterns &
Relationships
•
Addition
•
Subtractio
n
•
Geometry
& Measurement
•
Data
Analysis &
Applications
Each Student Study
Guide covers the
prerequisites for one
Grade-level NCTM
Focal Point
3-part approach to
vocabulary, which
includes visual
representations
Manipulatives used
throughout Student
Study Guides
Foldables (a 3dimensional note
taking strategy)
referenced in each
chapter to organize
key concepts
PinPoint
Math
Volumes
6 volumes and
each broken
down by topic that
prioritize concepts
and skills.
Connecting
Math Concepts
Organized by
tracks, the
ongoing
development of a
particular topic
across several
lessons.
Students progress
through volumes
In each lesson,
individually or in
students work on
small groups.
four to six tracks,
such as—
Each lesson is
counting,
divided into the
symbols, more/
format Model It,
less/equal,
Understand It,
addition/
and Try It.
Subtraction, place
value, problem
Moves from
solving, and
concrete to
application.
abstract models
and teacherdirected to
student
independent
work.
Corrective Math
Focuses on core
concepts, rules,
and
mathematical
reasoning to help
students:
•
learn and
retain facts
•
understan
d place value
•
understan
d fractions,
decimals and
percents
•
solve
computational
problems
•
accurately
translate word
problems into
numerical
statements
Math
Laboratories
Works ideally as a
supplement to any
other math
program. Covers
•
basic facts
•
number
concepts
•
whole
number
computations
•
measurem
ent and
geometry
•
fractions,
decimals, and
percents
probability, data
and
graphsIncludes
focused practice
of core math skills
and concepts in
isolation and
mixed practice
opportunities.
Math Triumphs
Assessment
and
Progress
Monitoring
Extensive
entry/diagnostic
assessments are
built into the Student
Study Guides, TEs,
Assessment Masters
and the OSE through
AdvanceTracker to
diagnose and
prescribe
Progress Checks
every 2-3 lessons
Chapter Pre-Tests
Chapter Tests
2-page Standards
Practice following
each Chapter Tests
ExamView
Assessment Suite
available
AdvanceTracker
(progress monitoring
system) assesses
student’s progression
of the content and
identifies appropriate
volume and/or
chapter. Also testbuilding with scoring
and data
collection/progress
reports.
Number Worlds
•
•
•
•
PinPoint
Math
Diagnostic
Assessment
that identifies
level and
volume
Chapter
Quizzes
Chapter
Tests
Comprehe
nsive that
assess multiple
chapters
Connecting
Math Concepts
•
Placement
Test that
identifies
program level
•
Periodic
Mastery Tests
Corrective Math
Math
Laboratories
KEY PHRASE
Teacher
Involvement
Small Group
Work
Independent
Work
Emphasis on
Concept
Development
Emphasis on
Skill
Acquisition
Tutorial
Technology
Intelligent
Technology
Use of
Manipulatives
Progress
Monitoring
Research
Key Differentiators to Keep In Mind When Selling
Key: 0=None, 1=Low, 4=High
Math Triumphs Number Worlds
PinPoint
Connecting
Math
Math Concepts
Comprehensive Conceptual
Skills based
DI core
all inclusive
development
intervention
intervention in
intervention
intervention
Spec Ed
4
2
4
4
Corrective
Math
DI skills based
supplemental
4
Math
Laboratories
Skills based
supplemental
1
4
2
4
4
2
4
4
4
3
4
2
2
1
1
4
2
4
4
4
4
1
2
0
0
4
0
0
0
4
2
0
0
3
3 or 4
3
4
1
3
3 (Information
Station)
4
2
4
2
0
3
3 or 4
2
0
4
0
0
0
2
0