Learning Objectives
The 6th grade Mathematics course aims to consolidate and expand the mathematical knowledge developed in the early years, promoting the mastery of natural and rational numbers, the development of initial algebraic thinking, the understanding of the main geometric figures, as well as the application of concepts of magnitudes, measurements, proportionality and statistics in everyday situations.
Throughout the course, the student will be encouraged to solve problems, argue mathematically, interpret data and use different representations, in line with the National Common Curricular Base (BNCC) and with the external evaluation matrices.
BNCC Thematic Units, Contents and Skills
Numbers
- Decimal numbering system: reading, writing, comparing, and sorting natural numbers (EF06MA01)
- Operations with natural numbers: addition, subtraction, multiplication, and division (EF06MA02)
- Multiples and divisors of natural numbers (EF06MA03)
- Severability Criteria (EF06MA04)
- Prime Numbers and Composite Numbers (EF06MA05)
- Fractions: meanings, reading, writing and representation (EF06MA06)
- Comparing and Ordering Fractions (EF06MA07)
- Decimal Numbers: Reading, Writing, Comparing, and Sorting (EF06MA08)
- Relationship between fractions and decimals (EF06MA09)
- Operations with fractions in problem situations (EF06MA10)
Algebra
- Numerical Patterns and Sequences (EF06MA11)
- Number expressions involving natural and rational numbers (EF06MA12)
- Using Operation Properties to Simplify Calculations (EF06MA13)
Geometry
- Point, Line and Plane: Basic Concepts and Representations (EF06MA14)
- Polygons: Classification by number of sides (EF06MA15)
- Triangles: Classification by Sides and Angles (EF06MA16)
- Quadrilaterals: classification and properties (EF06MA17)
- Angles: Classification and Measurements (EF06MA18)
- Axial Symmetry and Identification of Symmetry Axes (EF06MA19)
Quantities and Measurements
- Length, mass, capacity, and time measurements (EF06MA20)
- Transformation of Units of Measure (EF06MA21)
- Polygon Perimeter (EF06MA22)
- Area of Flat Figures (Square and Rectangle) (EF06MA23)
- Problem solving involving quantities and measures (EF06MA24)
Probability and Statistics
- Data collection, organization and interpretation (EF06MA25)
- Reading and building tables and column and line charts (EF06MA26)
- Notions of probability in simple random experiments (EF06MA27)
Alignment with External Evaluations (SAEB)
The contents and skills worked on in this course are aligned with the SAEB Reference Matrices for the Final Years of Elementary School, especially with regard to the axis of Numbers, Geometry, Quantities and Measurements and Information Treatment, preparing the student for external evaluations and for academic progression in the following years.
Initial preparation for SAEB – 9th grade
| BNCC – 6th year | Skill developed | Connection with SAEB |
|---|---|---|
| EF06MA01 | Numbering system and operations with naturals | Arithmetic basis |
| EF06MA07 | Fractions and rational numbers | SAEB 9th Nucleus |
| EF06MA11 | Proportionality | Algebraic reasoning |
| EF06MA17 | Reading graphs and charts | Processing of information |
| EF06MA23 | Perimeter and area | Quantities and measurements |
This course is aligned with the BNCC and develops structuring mathematical skills that progressively prepare the student for the competencies evaluated by SAEB in the subsequent stages of Elementary School.