Mathematics 9th grade

Learning Objectives

The 9th grade Mathematics course aims to consolidate the essential learning of the Final Years of Elementary School, deepen algebraic, geometric and statistical thinking, and prepare the student for external evaluations (SAEB) and for the transition to High School.

Throughout the course, the student develops the ability to solve complex problems, model real situations through expressions, equations and functions, interpret graphs and statistical data, analyze geometric relationships and argue mathematically, in accordance with the National Common Curricular Base (BNCC).

BNCC Thematic Units, Contents and Skills

Numbers

• Number sets: reals and their representations (EF09MA01)
• Real Number Operations in Diverse Contexts (EF09MA02)
• Potentiation, radiciation and scientific notation (EF09MA03)
• Solving problems involving proportionality and percentages (EF09MA04)

Algebra

• Algebraic expressions: factorization and notable products (EF09MA05)
• Equations of the 1st and 2nd degree (EF09MA06)
• Solving problems with equations of the 2nd degree (EF09MA07)
• Affine function and quadratic function: algebraic representations, graphing and interpretation (EF09MA08)
• Analyzing the behavior of functions in real contexts (EF09MA09)

Geometry

• Metric Relations in Right Triangle (EF09MA10)
• Similarity of triangles and applications (EF09MA11)
• Pythagorean Theorem in Problem Situations (EF09MA12)
• Circumference and Circle: Metric Relations and Calculation of Areas (EF09MA13)
• Spatial geometry: prisms, pyramids, cylinders, cones and spheres (EF09MA14)

Quantities and Measurements

• Length, area, volume and capacity measurements (EF09MA15)
• Unit conversion and real-world application (EF09MA16)
• Scales, maps and plans (EF09MA17)

Probability and Statistics

• Analysis and interpretation of tables and graphs (EF09MA18)
• Measures of central tendency and dispersion (EF09MA19)
• Probability of Simple and Compound Events (EF09MA20)
• Critical reading of statistical data in social and scientific contexts (EF09MA21

This course closes the cycle of Elementary School with a focus on solid learning, external evaluation and academic progression, offering the student conceptual security to face the challenges of High School and large-scale assessments.

---

REFERENCE MATRIX – SAEB

Mathematics – 9th Grade of Elementary School

NUMBERS

• Read, write, and convert rational and real numbers (9N1.1, 9N1.9)
• Identify rational and irrational numbers (9N1.3)
• Compare and sort real numbers (9N1.4)
• Calculate operations with real numbers (9N1.5, 9N1.6)
• Solve problems involving percentage, multiples, and divisors (9N2.3, 9N2.4)
• Solving problems with potentiation, radiciation and scientific notation (9N2.1)

ALGEBRA

• Solve equations of the 1st and 2nd degree (9A1.1, 9A1.7)
• Model situations through equations and systems (9A1.2, 9A2.3)
• Solving problems involving affine and quadratic functions (9A2.5)
• Interpreting algebraic, graphical, and tabular representations (9A1.8)

GEOMETRY

• Recognize geometric transformations in the Cartesian plane (9G1.1)
• Troubleshoot Angles, Polygons, and Triangles (9G2.3, 9G2.4)
• Troubleshoot Polygon Similarity (9G2.5)
• Solving problems involving circumference and circle (9G2.7)
• Determine distance and midpoint in the Cartesian plane (9G2.8)

QUANTITIES AND MEASUREMENTS

• Solve problems involving perimeter, area and volume (9M2.2, 9M2.3, 9M2.4)
• Troubleshoot Unit Conversion (9M2.1)

PROBABILITY AND STATISTICS

• Interpret and represent statistical data (9E1.1, 9E1.2)
• Troubleshoot complex charts and tables (9E2.1, 9E2.2)
• Calculate and interpret mean, mode, and median (9E1.4, 9E1.5)
• Solving Probability Problems (9E2.4)

Source: Saeb Mathematics Reference Matrices – BNCC (Inep, 2022)

---

BNCC ↔ SAEB Mapping – Mathematics

NUMBERS

• Rational and real numbers: operations and problems
  BNCC: EF09MA01, EF09MA02
  SAEB: 9N1.5, 9N1.6
• Percentage, ratio, and proportion
  BNCC: EF09MA03
  SAEB: 9N2.3, 9N2.4
• Potentiation, radiciation and scientific notation
  BNCC: EF09MA04
  SAEB: 9N2.1

ALGEBRA

• Equations of the 1st and 2nd degree
  BNCC: EF09MA06, EF09MA07
  SAEB: 9A1.1, 9A1.7
• Affine and quadratic functions
  BNCC: EF09MA08
  SAEB: 9A2.5

GEOMETRY

• Similarity of polygons
  BNCC: EF09MA12
  SAEB: 9G2.5
• Circumference and circle
  BNCC: EF09MA13
  SAEB: 9G2.7
• Cartesian plane
  BNCC: EF09MA14
  SAEB: 9G2.8

QUANTITIES AND MEASUREMENTS

• Area, volume and unit conversion
  BNCC: EF09MA18
  SAEB: 9M2.2, 9M2.3

PROBABILITY AND STATISTICS

• Reading and analyzing statistical data
  BNCC: EF09MA22
  SAEB: 9E1.1, 9E1.2
• Average, Mode, and Median
  BNCC: EF09MA23
  SAEB: 9E1.4, 9E1.5

BNCC and SAEB alignment
This course is structured in accordance with the National Common Curricular Base (BNCC), fully contemplating the skills foreseen for the year/grade. The contents and activities are also aligned with the SAEB Reference Matrix, ensuring that the student develops the skills evaluated in the national external assessments, with a focus on meaningful learning, problem solving and mathematical literacy.

High School Preparation

In addition to the alignment with the SAEB, the course establishes the essential mathematical foundations for High School, especially in:

• Functions
• Symbolic algebra
• Analytic (conceptual) geometry
• Reading and interpreting data