Spiral 7 – Middle School Mathematics

Spiral 7 is a new digital textbook for middle school mathematics. The book's contents have been designed to be in line with the Finnish lower secondary school curriculum, focusing on topics that are taught in the 7th grade.

The textbook includes comprehensive theory sections and plenty of interactive exercises. These are enhanced with interactive simulations and videos that help students to understand the topic in an intuitive way.

1. How to use this book

Lead	Chapter
1.1.	Explanations and tips

2. Numbers and calculation

Lead	Chapter
2.1.	Natural numbers Free chapter!
2.2.	Roman numerals
2.3.	Divisibility
2.4.	Prime and composite numbers
2.5.	Negative numbers and the number line
2.6.	Opposite numbers
2.7.	Absolute value
2.8.	The coordinate system
2.9.	Adding integers
2.10.	Subtracting integers
2.11.	Calculations
2.12.	Multiplying integers
2.13.	Dividing integers
2.14.	Powers and exponentation
2.15.	Combining operations
2.16.	Review

3. Fractions

Lead	Chapter
3.1.	Fractions and mixed numbers
3.2.	Reducing and expanding
3.3.	Adding and subtracting fractions with different denominators
3.4.	Calculations with mixed numbers
3.5.	Multiplying fractions
3.6.	Parts of a number
3.7.	Dividing fractions
3.8.	Parts and base value
3.9.	Fraction expressions
3.10.	Review

4. From numbers to letters

Lead	Chapter
4.1.	Pattern sequence
4.2.	Number sequence
4.3.	Letters and numbers
4.4.	Polynomials
4.5.	Combining terms
4.6.	Multiplying and dividing terms
4.7.	Multiplying a polynomial
4.8.	Adding and subtracting polynomials
4.9.	Simplification
4.10.	Review

5. Equations

Lead	Chapter
5.1.	Equal sides
5.2.	Equations
5.3.	Finding the value of a variable
5.4.	Finding the solution of an equation 1
5.5.	Finding the solution of an equation 2
5.6.	Speed, distance and time
5.7.	Solving an equation 1
5.8.	Solving an equation 2
5.9.	Sequences and consecutive numbers
5.10.	The difference between numbers
5.11.	Brackets in equations
5.12.	Brackets and fractions in an equation
5.13.	"I was thinking of a number..."
5.14.	Action and time
5.15.	Review

6. Lines, angles and circles

Lead	Chapter
6.1.	Basic concepts
6.2.	Angles
6.3.	The addition and subtraction of angles
6.4.	Geometric drawing 1
6.5.	Geometric drawing 2
6.6.	Circle
6.7.	Angles in a circle
6.8.	The tangent of a circle
6.9.	Parallel and intersecting lines
6.10.	Angles formed by intersecting lines
6.11.	Points, open lines, closed line segments and circles in a coordinate system
6.12.	Review

7. Geometry

Lead	Chapter
7.1.	Polygons
7.2.	Triangle
7.3.	The angles of a triangle
7.4.	Isosceles triangle
7.5.	Quadrangles
7.6.	Parallelogram
7.7.	Rhombus
7.8.	Trapezoid
7.9.	Regular polygons
7.10.	Congruence and similarity
7.11.	Symmetry
7.12.	Translation and rotation
7.13.	Review