Grade 7Math

Place Value Through Hundred Trillions, Reading and Writing Whole Numbers

This Grade 7 math unit in Saxon Math, Course 2 covers Chapter 1 (Lessons 1–10 and Investigation 1) — the foundational starting point for the course. Lessons 1–10 establish the core number sense, arithmetic, and problem-solving routines that all future Saxon Math lessons build upon. Saxon's incremental approach means each lesson adds one new concept while beginning the cumulative daily review cycle. Investigation 1 introduces the applied, exploratory format students will encounter throughout the year.

Key Concepts

New Concept The value of a digit depends on its position in a number; this is its place value . We use this to write numbers in expanded notation .

We write a number in expanded notation by writing each nonzero digit times its place value. For example, we write $4320$ in expanded notation this way: $$ (4 \times 1000) + (3 \times 100) + (2 \times 10) $$ What’s next Next, you'll tackle worked examples on reading and writing enormous numbers and solve challenge problems using expanded notation.

Common Questions

What does Chapter 1 of Saxon Math Course 2 cover?

Chapter 1 (Lessons 1–10 and Investigation 1) establishes foundational skills in number sense, arithmetic operations, and problem solving that form the base for all subsequent lessons in the course.

Why is Chapter 1 important in Saxon Math?

Chapter 1 sets the tone and routine for the entire year. It establishes daily lesson structure, introduces cumulative review practice, and ensures students have the foundational skills needed for the material ahead.

What is Investigation 1 in Saxon Math Course 2?

Investigation 1 is the first extended exploration activity in the course, giving students a hands-on or deeper look at a key concept and introducing the investigation format they will use throughout the year.

How often do students practice in Saxon Math?

In Saxon Math, students practice both the new concept from the current lesson and previously learned concepts every day. This daily cumulative review is what makes the Saxon approach effective for long-term retention.

What math skills are introduced early in Saxon Math Course 2?

Early lessons establish number operations, problem-solving strategies, and mathematical vocabulary that students will use throughout Grade 7 and into algebra courses.

What grade level is this chapter?

This is Chapter 1 of Saxon Math Course 2, designed for Grade 7 students.