# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 21 concepts ready. In the app: https://ai.page/roadmap/mo-grade-3 Part of: [Missouri: Mathematics](https://ai.page/roadmap/mo.md) Goal: Missouri academic standards: Mathematics, Grade 3 ## 1. Geometry and Measurement · Understand concepts of perimeter. - [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) - [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 ## 2. Geometry and Measurement · Understand concepts of area. - [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 ## 3. Geometry and Measurement · Solve problems involving the measurement of time, liquid volumes and weights of objects. - [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 ## 4. Geometry and Measurement · Reason with shapes and their attributes. - [Fractions as parts of shapes](https://ai.page/c/fractions-as-parts-of-shapes/index.md): Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole - [Understanding angles (age 8+)](https://ai.page/c/understanding-angles-age-8/index.md): Understand that shapes in different categories may share attributes defining a larger category; classify quadrilaterals (rhombuses, rectangles, squares) and draw examples of quadrilaterals not in those subcategories - [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 ## 5. Number Sense and Operations in Fractions · Develop understanding of fractions as numbers. - [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way - [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 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 - [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 - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [Equivalent fractions (age 9+)](https://ai.page/c/equivalent-fractions-age-9/index.md): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths ## 6. Relationships and Algebraic Thinking · Identify and explain arithmetic patterns. - [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations ## 7. Relationships and Algebraic Thinking · Use the four operations to solve word problems. - [Two-Step Equations](https://ai.page/c/two-step-equations/index.md): Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity ## 8. Relationships and Algebraic Thinking · Multiply and divide within 100. - [Fluent multiplication and division facts](https://ai.page/c/fluent-multiplication-and-division-facts/index.md): Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division - [Multiplication and Division Word Problems](https://ai.page/c/multiplication-and-division-word-problems/index.md): Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities - [Multiplying and dividing](https://ai.page/c/multiplying-and-dividing/index.md): Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000 ## 9. Relationships and Algebraic Thinking · Represent and solve problems involving multiplication and division. - [What Division Means](https://ai.page/c/what-division-means/index.md): Interpret whole-number quotients (e.g. 56 ÷ 8 as the number of objects in each share or the number of equal groups) - [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) ## Health: 0 of 100 Of its 21 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): - Perimeters of polygons has no explanation yet - Perimeter (age 10+) has no explanation yet - Area of compound shapes has no explanation yet - Calculating with measurements has no explanation yet - Measuring Liquids & Masses has no explanation yet - Fractions as parts of shapes comes before Fractions of a whole, which it needs - Fractions as parts of shapes has no explanation yet - Understanding angles (age 8+) has no explanation yet - Classifying shapes by properties has no explanation yet - Fraction Addition Concepts has no explanation yet - Fraction Notation has no explanation yet - Fractions of a whole has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Equivalent fractions has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Patterns in Times Tables comes before Fluent multiplication and division facts, which it needs - Patterns in Times Tables has no explanation yet - Two-Step Equations has no explanation yet - Fluent multiplication and division facts has no explanation yet - Multiplication and Division Word Problems comes before What Multiplication Means, which it needs - Multiplication and Division Word Problems comes before What Division Means, which it needs - Multiplication and Division Word Problems has no explanation yet - Multiplying and dividing has no explanation yet - What Division Means has no explanation yet - What Multiplication Means has no explanation yet Credit: The structure of Missouri academic standards: Mathematics (https://sites.google.com/view/priority-standards-mo-dese/home/mathematics?authuser=0); 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.