# 6º ano: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 22 concepts ready. In the app: https://ai.page/roadmap/br-bncc-ma-6o-ano Part of: [BNCC: Matemática](https://ai.page/roadmap/br-bncc-ma.md) Goal: Base Nacional Comum Curricular (BNCC), Ensino Fundamental: Matemática (Mathematics), 6º ano ## 1. Mathematics - [Number Sets & Infinity](https://ai.page/c/number-sets-and-infinity/index.md): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-maths/index.md): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations - [Factors, multiples, and primes](https://ai.page/c/factors-multiples-and-primes/index.md): Find all factor pairs for a whole number in the range 1–100; identify common factors and common multiples of two numbers; use these concepts to solve problems - [Multi-step problems: choosing operations](https://ai.page/c/multi-step-problems-choosing-operations/index.md): Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts - [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result - [Fraction Word Problems](https://ai.page/c/fraction-word-problems/index.md): Solve word problems involving addition and subtraction of fractions with unlike denominators, using visual models and benchmark fractions to estimate and assess reasonableness - [Mixed & Improper Fractions](https://ai.page/c/mixed-and-improper-fractions/index.md): Use the four operations with formal written methods applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative - [Calculating Percentages](https://ai.page/c/calculating-percentages/index.md): Solve problems involving the calculation of percentages of amounts (e.g. 15% of 360) and the use of percentages for comparison - [Equations with Two Unknowns](https://ai.page/c/equations-with-two-unknowns/index.md): Find pairs of numbers that satisfy an equation with two unknowns (e.g. find pairs (a, b) where a + b = 10 or 2a + b = 15) - [Dividing Quantities by Ratio](https://ai.page/c/dividing-quantities-by-ratio/index.md): Divide a given quantity into two parts in a given part:part or part:whole ratio, and express the division as a fraction of the whole - [Plotting points in the first quadrant](https://ai.page/c/plotting-points-in-the-first-quadrant/index.md): Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context - [3-D shapes (age 11+)](https://ai.page/c/3-d-shapes-age-11/index.md): Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections - [Regular and irregular polygons](https://ai.page/c/regular-and-irregular-polygons/index.md): Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths - [Understanding angles (age 12+)](https://ai.page/c/understanding-angles-age-12/index.md): Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and bisecting an angle - [Real-World Mathematical Modelling](https://ai.page/c/real-world-mathematical-modelling/index.md): Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations - [Measuring angles](https://ai.page/c/measuring-angles/index.md): Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure - [Perimeter (age 10+)](https://ai.page/c/perimeter-age-10/index.md): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically - [Calculating Simple Probability](https://ai.page/c/calculating-simple-probability/index.md): Calculate the probability of a simple event with equally likely outcomes using the formula: probability = number of favourable outcomes ÷ total number of possible outcomes; express the result as a fraction in its simplest form; apply to rolling dice, drawing from bags, and other simple chance situations - [Pictograms and tally charts (age 11+)](https://ai.page/c/pictograms-and-tally-charts-age-11/index.md): Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing appropriate representations for the data type - [Sets & Venn Diagrams](https://ai.page/c/sets-and-venn-diagrams/index.md): Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes ## Health: 0 of 100 Of its 22 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version. Findings (each is a task for anyone's AI): - Number Sets & Infinity has no explanation yet - Fractions on a number line has no explanation yet - Numbers on a number line has no explanation yet - Factors, multiples, and primes has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Fraction Word Problems has no explanation yet - Mixed & Improper Fractions has no explanation yet - Calculating Percentages has no explanation yet - Equations with Two Unknowns has no explanation yet - Dividing Quantities by Ratio has no explanation yet - Plotting points in the first quadrant has no explanation yet - 3-D shapes (age 11+) has no explanation yet - Regular and irregular polygons has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Understanding angles (age 12+) has no explanation yet - Real-World Mathematical Modelling has no explanation yet - Measuring angles has no explanation yet - Perimeter (age 10+) has no explanation yet - Calculating Simple Probability has no explanation yet - Pictograms and tally charts (age 11+) has no explanation yet - Sets & Venn Diagrams has no explanation yet Credit: The structure of Base Nacional Comum Curricular (BNCC), Ensino Fundamental: Matemática (Mathematics) (https://basenacionalcomum.mec.gov.br/); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.