How to learn 4º ano: Mathematics

Base Nacional Comum Curricular (BNCC), Ensino Fundamental: Matemática (Mathematics), 4º ano

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1. Mathematics

Reading and writing numbers (age 9+): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding
Patterns with Powers of Ten: Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents to denote powers of 10 (e.g. 10³ = 1000)
Mental and written addition and subtraction: Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
Addition and subtraction strategies (age 10+): Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction; relate strategies to written methods and explain reasoning
Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
Written Multiplication: Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
Division with Decimals: Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers
Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
Fractions on a number line: Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
Shape patterns: Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur
Using inverse operations: Recognise and use relationships between operations including inverse operations; use these relationships to check answers and simplify calculations
Transformations on a grid: Represent and carry out geometric transformations on squared paper or a coordinate grid: reflections (in horizontal, vertical, and diagonal mirror lines, including the axes), translations (described as a vector or as left/right/up/down moves), and rotations (90° or 180° about a stated centre point); describe each transformation precisely using the correct language; identify which transformation maps one shape onto its image by comparing position, orientation, and size
Describing Movements: Describe movements between positions as translations of a given unit to the left/right and up/down
Nets of 3-D Shapes: Identify, draw, and interpret nets of common 3-D shapes — cubes, cuboids, triangular prisms, and square-based pyramids — by predicting which 3-D shape a given flat arrangement of faces will fold into, checking whether a net will close completely, and sketching a net from a description or 3-D model; understand the relationship between the number of faces and the structure of the net
Regular and irregular polygons: Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles
Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
Area (age 8+): Measure areas by counting unit squares (square cm, square m, square in, square ft)
Estimating answers (age 7+): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours
Likelihood Language: Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible
Pictograms and tally charts: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables
Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity