# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 18 concepts ready. In the app: https://ai.page/roadmap/ky-grade-3 Part of: [Kentucky: Mathematics](https://ai.page/roadmap/ky.md) Goal: Kentucky academic standards: Mathematics, Grade 3 ## 1. Geometry · Classify polygons by attributes. - [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 - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties ## 2. Measurement and Data · Solve real world and mathematical problems involving perimeters of polygons. - [Perimeters of polygons](https://ai.page/c/perimeters-of-polygons/index.md): Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa) ## 3. Measurement and Data · Relate area to the operations of multiplication and addition. - [Area by Tiling](https://ai.page/c/area-by-tiling/index.md): Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths - [Understanding angles (age 8+)](https://ai.page/c/understanding-angles-age-8-maths/index.md): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas - [Area of compound shapes](https://ai.page/c/area-of-compound-shapes/index.md): Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas - [Area and the distributive property](https://ai.page/c/area-and-the-distributive-property/index.md): Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property ## 4. Measurement and Data · Investigate questions involving numerical data. - [Measuring & Plotting Lengths](https://ai.page/c/measuring-and-plotting-lengths/index.md): Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot ## 5. Measurement and Data · Investigate questions involving categorical data. - [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another - [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): 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 ## 6. Measurement and Data · Measure and solve problems involving mass and liquid volume. - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [Measuring Liquids & Masses](https://ai.page/c/measuring-liquids-and-masses/index.md): Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume ## 7. Numbers and Operations-Fractions · Explain equivalence of fractions in special cases and compare fractions by reasoning about their size. - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [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 - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [Equivalent fractions on a number line](https://ai.page/c/equivalent-fractions-on-a-number-line/index.md): Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams ## 8. Numbers and Operations-Fractions · Understand a fraction as a number on the number line; represent fractions on a number line. - [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 ## Health: 0 of 100 Of its 18 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): - Classifying shapes by line properties has no explanation yet - Classifying shapes by properties has no explanation yet - Perimeters of polygons has no explanation yet - Area by Tiling has no explanation yet - Understanding angles (age 8+) has no explanation yet - Area of compound shapes has no explanation yet - Area and the distributive property has no explanation yet - Measuring & Plotting Lengths has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Picture & Bar Graphs has no explanation yet - Calculating with measurements has no explanation yet - Measuring Liquids & Masses has no explanation yet - Comparing fractions comes before Fractions on a number line, which it needs - Comparing fractions has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Fraction Notation has no explanation yet - Equivalent fractions has no explanation yet - Equivalent fractions on a number line has no explanation yet - Fractions on a number line has no explanation yet Credit: The structure of Kentucky academic standards: Mathematics (https://education.ky.gov/curriculum/standards/kyacadstand/Documents/Kentucky_Academic_Standards_Mathematics.pdf); 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.