Mathematics, Grade 7

In this textbook, theory and practice activities have been divided into smaller subsections for a better grasp of the study material. The textbook has also been designed in a way that enables pupils to study on their own. The practice activities can be found in the so-called sliders, where the first slides provide exercises with examples, whereas the latter ones contain more challenging elements. This textbook matches the printed mathematics textbook for Year 7 and offers additional components typical of digital textbooks.

1. How to Use this Book

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1.1.	Explanations and Tips Для безкоштовного ознайомлення!

2. Percentages

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2.1.	Percentages
2.2.	Finding Part of a Number
2.3.	Finding the Whole and Calculating Percentages
2.4.	Expressing Ratios as Percentages
2.5.	Change in Size as Percentages
2.6.	Increase or Decrease by a Given Percentage
2.7.	Percentage Exercises
2.8.	Per Mille

3. Operations with Rational Numbers

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3.1.	Sets
3.2.	Number Sets
3.3.	The Absolute Value of a Number
3.4.	Opposite Numbers
3.5.	Sequences of Numbers
3.6.	Adding Negative Numbers
3.7.	The Difference Between Positive Numbers, and the Addition of Numbers with Different Signs
3.8.	Subtracting a Negative Number
3.9.	The Length of a Line Segment
3.10.	The Rules of Addition
3.11.	Exercises on Adding and Subtracting Rational Numbers.
3.12.	The Rules of Multiplication
3.13.	Multiplication of Rational Numbers
3.14.	Division of Rational Numbers
3.15.	Using a Calculator and Rational Numbers
3.16.	Exercises and Tasks for Calculating with Rational Numbers

4. Exponentiation

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4.1.	Exponentiation
4.2.	Order of Operations
4.3.	Multiplying and Dividing Exponents
4.4.	Expressing a Number Through the Powers of Ten
4.5.	Writing Large and Small Numbers, and the Standard Form of a Number
4.6.	Exponentiating Products and Quotients
4.7.	Exponentiating the Power

5. Functions and their Graphs

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5.1.	The Graph of Uniform Motion
5.2.	Motion graphs, Stopping, and Directions
5.3.	The Motion Graph and its Gradient
5.4.	The Speed of the Motion, Formulas, and Units
5.5.	Proportional Relationships
5.6.	The Graph of Proportional Relationships
5.7.	The Linear Function and its Graph
5.8.	Drawing a Line from Two Points
5.9.	Shifting Lines Along the y-axis
5.10.	Drawing a Line Based on its Slope and y-intercept
5.11.	Tasks about Linear Functions and Graphs
5.12.	An Inversely Proportional Relationship and its Graph

6. Equations and Word Problems

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6.1.	Equations and expressions
6.2.	Proportional Relationship Tasks
6.3.	Proportional distribution

7. Linear Equations with One Unknown Variable

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7.1.	Algebraic Expressions
7.2.	Equivalence and the Basic Properties of Equations
7.3.	Linear Equations with One Variable (1)
7.4.	Linear Equations with One Variable (2)
7.5.	No Solutions, or Infinitely Many Solutions
7.6.	Word Problems and Forming an Equation
7.7.	Solving Word Problems

8. Polygons

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8.1.	Polygons
8.2.	The Sum of the Interior Angles of a Polygon
8.3.	A Parallelogram and its Properties
8.4.	Area of a Parallelogram
8.5.	Rhombus and its Area

9. Shape Combinations

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9.1.	Circle and Circumference
9.2.	Shapes and Formulas
9.3.	Perimeters and Areas of Shapes

10. Right Prisms

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10.1.	Right Prism
10.2.	Right Prisms- the Layout, Net, and Area
10.3.	The Volume of a Prism
10.4.	Combinations of Prisms

11. Probability and Statistics

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11.1.	The Concept of Probability
11.2.	Frequency Tables and the Arithmetic Mean
11.3.	Presentation of Data as a Diagram
11.4.	Mode and Median

12. Monomials or Terms

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12.1.	Monomials or Single Terms
12.2.	Combining Like Terms
12.3.	Multiplication and Division
12.4.	Exponentiation

13. For Reflection and Practice

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13.1.	All that I know 1
13.2.	All that I Know 2

14. Extras

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14.1.	Definitions
14.2.	Glossary