See the mathematics
Numbers come to life with ten-frames, base-ten blocks, fraction models, graphs, diagrams, and other grade-appropriate visual supports.
BALTHROP LOGIC · BLOS MATHEMATICS SERIES
A stronger start in mathematics.
Meet BLOS Elementary Foundations™: five thoughtfully sequenced student workbooks for Grades K–5 that pair visual learning, purposeful practice, and guided reasoning.
100 questions per volume
Five workbooks
Grades K–5
5 volumes
A connected K–5 series
100 questions
In each student workbook
Visual practice
Models, diagrams & examples
Show your thinking
Build reasoning, not just answers
The complete k-5 collection
One series. Five stages of growth.
Start at your learner’s grade level, then explore the progression from early number sense to fractions, decimals, coordinates, and multi-step problem solving.
Built around how students learn
More than a page of problems.
Every volume reinforces skills while encouraging learners to represent ideas and explain their reasoning.
Progress with purpose
Exercises advance from accessible concepts toward greater independence and more challenging mathematical thinking.
Show your thinking
Dedicated response areas invite students to draw, model, compute, and explain how they arrived at a solution.
The Balthrop Logic Method™
Understanding comes before memorization.
The instructional framework moves from the reason behind a concept to a clear explanation, a usable rule, and focused practice. Solutions and coaching materials in the source manuscripts illustrate this approach.
Find your grade →
01 · WHY
Make meaning
Begin with the mathematical question and why it matters.
02 · LESSON
Make it clear
Use a model, worked example, or explanation to uncover the idea.
03 · RULE
Make it stick
Identify the principle that helps explain and check the answer.
04 · MINI DRILL
Make it yours
Apply the concept again through short, intentional practice.
Flexible learning settings
For home learning and classrooms.
Families & caregivers
Make practice more meaningful.
Choose the appropriate grade and use visual, skill-focused exercises to support everyday mathematics learning at home.
Educators & institutions
Build a consistent foundation.
Explore a coordinated five-volume progression for supplemental practice, tutoring, or potential institutional adoption. Licensing and purchasing terms are not yet published.
Frequently asked questions
Good questions. Clear answers.
How many books are in the series?
There are five planned volumes: a combined Grades K–1 workbook, followed by separate Grade 2, Grade 3, Grade 4, and Grade 5 workbooks.
How many questions are in each workbook?
Each of the supplied manuscripts presents 100 student questions, with grade-specific exercises and a progressive instructional sequence.
Are answer keys and coaching resources included?
The source manuscript files contain answer keys and coaching material, while their student introductions refer to a separate companion guide. Final retail packaging and whether the coaching material is bound with each workbook should be confirmed before purchase information is published.
Can schools and institutions use the series?
The page is designed to serve both families and institutional audiences. Institutional ordering, licenses, classroom packages, and any subscription offers must be established separately before they are advertised as available.