Horizons Math Sampler - Odyssey Academy

Horizons Math Promotes Concept Mastery
Every concept in Horizons math follows a
deliberate pattern of introduction and gradual
development to ensure that the student masters
the concept. All too often students learn a concept
only to forget it a few weeks after the test. It is
one thing to be successful on a day-to-day basis
with a focused study of a single topic but it is
much more complex to skillfully approach topics
that have been unseen for a longer period of time.
In Horizons math, fundamental concepts
already learned in earlier units are reviewed in
subsequent grade levels for true mastery. Every
math concept follows a deliberate pattern of
gradual development in each grade level, as
well as throughout all seven grade levels. The
example here shows a few of the pages that
develop the concept of fractions from grades one
through three.
Grade 1, Book One
1
Definition is
accomplished by
the teacher in
an introductory
lesson. Simple
directions are
found in the
Teacher’s
Handbook.
Grade 1, Book One
Grade 2, Book Two
2
Reading unit fractions
Grade 3, Book Two
Grade 3, Book Two
3
4
Identifying fractional
part of whole
Identifying fractional
part of set
Grade 3, Book Two
5
Comparison of
fractions
Grade 3, Book Two
6
Review of steps 2–5
8
7
Comparison of mixed
numbers, improper
fractions, and decimals
8
Reducing fractions
9
Adding and
subtracting like
fractions and mixed
numbers