# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 29 concepts ready. In the app: https://ai.page/roadmap/mn-grade-3 Part of: [Minnesota: Mathematics](https://ai.page/roadmap/mn.md) Goal: Minnesota academic standards: Mathematics, Grade 3 ## 1. Data Analysis · Collect, organize, display, and interpret data. Use labels and a variety of scales and units in displays. - [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data ## 2. Geometry & Measurement · Use time, money and temperature to solve real-world and mathematical problems. - [Measuring temperature](https://ai.page/c/measuring-temperature/index.md): Use negative numbers in context (temperature, finance, sea level); calculate intervals across zero - [Working with money](https://ai.page/c/working-with-money/index.md): Model real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context - [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): 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+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks ## 3. Geometry & Measurement · Understand perimeter as a measurable attribute of real-world and mathematical objects. Use various tools to measure distances. - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes ## 4. Geometry & Measurement · Use geometric attributes to describe and create shapes in various contexts. - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [Lines, Rays & Angles](https://ai.page/c/lines-rays-and-angles/index.md): Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures - [Classifying shapes by line properties](https://ai.page/c/classifying-shapes-by-line-properties/index.md): 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 ## 5. Algebra · Use number sentences involving multiplication and division basic facts and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to - [Using objects to model real problems](https://ai.page/c/using-objects-to-model-real-problems/index.md): Use objects, drawings, or simple number sentences to represent a real-world situation (early mathematical modelling) - [Connecting maths to real life](https://ai.page/c/connecting-maths-to-real-life/index.md): Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context ## 6. Algebra · Use single-operation input-output rules to represent patterns and relationships and to solve real-world and mathematical problems. - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations ## 7. Number & Operation · Understand meanings and uses of fractions in real-world and mathematical situations. - [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line/index.md): Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b - [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents ## 8. Number & Operation · Add and subtract multi-digit whole numbers; represent multiplication and division in various ways; solve real-world and mathematical problems using arithmetic. - [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations - [Adding and subtracting mixed numbers](https://ai.page/c/adding-and-subtracting-mixed-numbers/index.md): Add and subtract mixed numbers with like denominators, including by converting to improper fractions or using properties of operations - [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7) - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line/index.md): Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram ## 9. Number & Operation · Compare and represent whole numbers up to 100,000 with an emphasis on place value and equality. - [Ordering Numbers to 1000](https://ai.page/c/ordering-numbers-to-1000/index.md): Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [Rounding to 10, 100, 1000](https://ai.page/c/rounding-to-10-100-1000/index.md): Round any number to the nearest 10, 100, or 1000 - [Rounding Large Numbers](https://ai.page/c/rounding-large-numbers/index.md): Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding - [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000 - [Place Value to 1000](https://ai.page/c/place-value-to-1000/index.md): Solve number problems and practical problems involving place value of numbers up to 1000 ## Health: 0 of 100 Of its 29 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): - Pictograms and tally charts (age 6+) has no explanation yet - Measuring temperature has no explanation yet - Working with money comes before Connecting maths to real life, which it needs - Working with money has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Telling time to the minute (age 8+) has no explanation yet - Measuring Perimeters has no explanation yet - Understanding angles has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Using objects to model real problems has no explanation yet - Connecting maths to real life has no explanation yet - Algebraic Transformations has no explanation yet - Fraction Notation has no explanation yet - Fractions on a number line has no explanation yet - Comparing fractions has no explanation yet - Fractions of a whole has no explanation yet - Understanding fractions has no explanation yet - Adding numbers has no explanation yet - Adding and subtracting mixed numbers has no explanation yet - What Multiplication Means has no explanation yet - Numbers on a number line has no explanation yet - Ordering Numbers to 1000 has no explanation yet - Representing Numbers has no explanation yet - Numbers to 10,000 has no explanation yet - Comparing Large Numbers has no explanation yet - Rounding to 10, 100, 1000 has no explanation yet - Rounding Large Numbers has no explanation yet - 10 or 100 More or Less has no explanation yet - Place Value to 1000 has no explanation yet Credit: The structure of Minnesota academic standards: Mathematics (http://education.state.mn.us/MDE/EdExc/StanCurri/K-12AcademicStandards/Math/index.html); 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.