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My Mathematical Exercises 1

Lower secondary school - First year

Paola Ethel Demarchi

Product: Book

Trim size in cm: 21x27cm

Pages: 80

ISBN: 978-88-590-2637-2

Publication date: 01/09/2021

Suitable for: Lower secondary 1st level (ages 10-11)


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This volume, an operational declination of the Tablet of maths rules, supports students in the first year of lower secondary school, with resolving mathematics exercises, proposing some strategies and tools for schematization and facilitations which are useful for learning:

  • the use of different colors associated with distinct concepts and the recall of the same colors in the different steps and in the schematization of the procedures;
  • tables and diagrams to summarize the fundamental concepts necessary to successfully solve the exercises;
  • guiding questions to help the student reconstruct the logic behind each procedure.

How the notebook is structured
In each unit, a comic introduces the topic and a brief summary reviews the fundamental concepts, which, if necessary, can be explored in the corresponding chapter of the Tablet of maths rules.

The proposed exercises are initially guided step by step, to help reflect on the mathematical concepts involved in them and on the relationships between the various steps used. Proceeding within the unit, the guided steps decrease to leave the student more autonomy in finding the solution.

In each unit, problems applied to concrete situations find ample space, so that students can realize the importance of mathematics in the interpretation of reality.


ARITHMETIC
The set N and decimal numbers
N: ordering and comparing
Ordering and comparing decimal numbers
N: addition and its properties
N: subtraction and its properties
Addition and subtraction with decimal numbers
N: multiplication and its properties
N: division and its properties
Multiplication and division with decimal numbers
N: powers and properties
Expressions with N
Prime factorization of natural numbers
GCD and lcm
GCD and lcm for solving problems
The set Q+
Q+: fractions and equivalent fractions
Q+: comparing and ordering fractions
Q+: addition and subtraction with fractions
Q+: multiplication and division with fractions
Q+: powers and properties of powers
Expressions with Q+

GEOMETRY
The primitive geometric bodies
Lines, rays, and segments
Angles
Units of measurement of length
Length: units of measurement and equivalencies
Polygons and perimeter
Parallelograms and problems with perimeter
Rectangles and problems with perimeter
Squares and problems with perimeter
Rombi and problems with perimeter
Triangles: classification and distinguishing elements
Triangles and problems with perimeter
Trapezoids: classification and problems with perimeter
Geometric transformations
Geometric transformations: translations
Geometric transformations: rotations
Geometric transformations: symmetry



The tablet notebooks series - My Mathematical Exercises


 

The tablet notebooks follow the publication of The tablet of Math rules and are dedicated to lower secondary school students! Each workbook provides exercises and problems on all the topics studied during the first, second and third years at school, in order to consolidate and explore them thoroughly. Together with the Tablet of Math rules, these volumes are an immediate and easily accessible tool to support learning.

Exercises on each topic are preceded by a short and clear explanation, with examples and strategies for calculation and problem solving. Students will be accompanied through the activities, with the help of useful advice and some tips.

 

Tools for learning

Each volume in the series provides some schematic and facilitation tools:

  • the use of different colours associated with different concepts and the recall of the same colours in the different steps and in the procedure scheme;
  • tables and diagrams to summarize the fundamental concepts necessary to successfully solve the exercises;
  • guiding questions to help the student to reconstruct the logic behind each procedure.

My Mathematical Exercises First Year

ARITHMETICS: the set N and decimal numbers (ordering and comparing whole numbers and decimal numbers, the four operations and their properties, properties of powers, expressions, breaking down numbers into prime factors, GCD and lcm); the set Q+ (ordering and comparing fractions, operations with fractions, powers of fractions, expressions).

GEOMETRY: the primitive geometric entities (lines, rays, segments and angles); the units of length; polygons and calculation of the perimeter; geometric transformations (translations, rotations, symmetries).

Find out more!

Leaf through some pages of the volume which have been translated into English to facilitate your evaluation of the product:

My Mathematical Exercises Second Year

ARITHMETICS: the set Q+ (transformation of fractions into decimal numbers and vice versa, rounding of a decimal number); the set I (root extraction of a number, irrational numbers); proportions (proportions and their properties, problems with proportions, direct and inverse proportions, simple three and compound three problems); percentages (percentages and problems with percentages).

GEOMETRY: the units of surface area; polygons and calculation of area (regular and irregular geometric figures); Pythagoras' Theorem; Euclid's Theorems; similar polygons; homotypes; the circle and inscribed and circumscribed polygons.

Find out more!

Leaf through some pages of the volume which have been translated into English to facilitate your evaluation of the product:

My Mathematical Exercises Third Year

Arithmetic and algebra: set Z and set Q (properties and operations with relative integers, set Q and scientific notation); monomials and polynomials (operations and expressions with monomials and polynomials); first degree equations (equations, equivalence principles and problems).

Statistics and probability: statistical populations; absolute, relative and percentage frequency; position indices; data representation; compatible, incompatible and complementary probabilities and events; intersection and union of two events; probability of independent and dependent events.

Geometry: planar geometry (circumference and circle, Cartesian plane); solid geometry (prism, rectangular pyramid, cube, pyramid, cylinder, cone and sphere).

Find out more!

Leaf through some pages of the volume which have been translated into English to facilitate your evaluation of the product:

THE AUTHOR

Paola Ethel Demarchi A graduate in Mathematics from the University of Turin, she specialized in support activities for pupils with disabilities in secondary schools and obtained a first-level master's degree in Didactics and Psychopedagogy for Learning Disorders. Author of scientific texts and articles, she teaches mathematics in secondary schools.



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