How to learn 3º ano: Mathematics

Base Nacional Comum Curricular (BNCC), Ensino Fundamental: Matemática (Mathematics), 3º 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
Fractions, Decimals & Percentages: Look for and use mathematical structure: exploit the relationship between fractions, decimals, and percentages; use factor pairs to simplify multiplication; apply angle facts to find unknowns; use properties of regular polygons systematically
Mental multiplication and division (age 9+): Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
Numbers on a number line: Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram
Mental and written addition and subtraction: Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
Multiply & Add Problems: Solve problems involving multiplying and adding, including using the distributive law, integer scaling problems, and harder correspondence problems
Multiplication and Division Word Problems: Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities
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
Describing Movements: Describe movements between positions as translations of a given unit to the left/right and up/down
3-D shapes: Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
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
Classifying shapes by line properties: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category
2-D shapes (age 7+): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them
Measuring length (age 7+): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
Telling time to the minute (age 7+): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation
Telling time to the minute (age 8+): Tell and write time to the nearest minute using analogue and digital clocks
Ordering Likelihoods: Compare the likelihood of different events and order them from least to most likely — including situations with unequal outcomes such as a bag with more of one colour than another, or a spinner with sections of different sizes — and explain reasoning using informal language
Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
Picture & Bar Graphs: Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
Pictograms and tally charts: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables