Spiral 9 – Middle School Mathematics

Authors

Elo Reinik, Enno Pais, Kärt Matiisen & Markku Lähderinne

Exercises kit’s authors

Elo Reinik, Enno Pais, Kärt Matiisen & Markku Lähderinne

Publisher

e-Oppi Oy

Included in packages

Opiq+ Home, Opiq+ Yläkoulu (Pupil)

The study kit contains 46 chapters and 744 exercises of which 588 are in the chapters and 156 in the task exercises.
Authors
Elo Reinik, Enno Pais, Kärt Matiisen & Markku Lähderinne
Exercises kit’s authors
Elo Reinik, Enno Pais, Kärt Matiisen & Markku Lähderinne
Subject
Mathematics
Grade
Grade 9
Kit's language
English
Publisher

e-Oppi Oy
Included in packages

Opiq+ Home, Opiq+ Yläkoulu (Pupil)

Spiral 9 is a new digital textbook for middle school mathematics. The book's contents are in line with the Finnish lower secondary school curriculum, focusing on topics that are taught in the 9th 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. Polynomials

Lead	Chapter
2.1.	What is a polynomial? Free chapter!
2.2.	Addition of polynomials
2.3.	Subtraction of polynomials
2.4.	Simplification
2.5.	Multiplication and division of monomials
2.6.	Multiplying a polynomial by a number
2.7.	Multiplying a polynomial by a monomial
2.8.	Multiplying polynomials
2.9.	Dividing polynomials
2.10.	Additional material: Multiplication
2.11.	Review

3. Equations

Lead	Chapter
3.1.	Equation with two variables
3.2.	Line in a coordinate system
3.3.	Equation pair with two variables
3.4.	Solving an equation pair graphically 1
3.5.	Solving an equation pair graphically 2
3.6.	No solution or an infinite number of solutions
3.7.	Solving an equation pair by substitution
3.8.	Practice makes perfect 1
3.9.	Solving an equation pair by addition
3.10.	Practice makes perfect 2
3.11.	Written tasks with equation pairs
3.12.	Equation pairs in different situations
3.13.	Shapes and their measurements
3.14.	Mixtures and solutions
3.15.	Review

4. Objects

Lead	Chapter
4.1.	Shapes and space
4.2.	Units of measurement and their conversions
4.3.	Rectangular prisms and cubes
4.4.	Triangles in rectangular prisms and cubes
4.5.	The perimeter and area of polygons
4.6.	Prisms
4.7.	The volume of a prism
4.8.	Circles
4.9.	The area of a cylinder
4.10.	The volume of a cylinder
4.11.	Sectors
4.12.	The area of a cone
4.13.	The volume of a cone
4.14.	The area of a pyramid
4.15.	The volume of a pyramid
4.16.	The area of a sphere
4.17.	The volume of a sphere
4.18.	Combinations of objects
4.19.	Review