# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 26 concepts ready. In the app: https://ai.page/roadmap/or-grade-3 Part of: [Oregon: Mathematics](https://ai.page/roadmap/or.md) Goal: Oregon academic standards: Mathematics, Grade 3 ## 1. Grade 3 · Analyze, represent, and interpret data. - [Representing numbers with objects (age 8+)](https://ai.page/c/representing-numbers-with-objects-age-8/index.md): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables ## 2. Grade 3 · Pose investigative questions and collect/consider data. - [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours ## 3. Grade 3 · Geometric measurement: recognize 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) ## 4. Grade 3 · Geometric measurement: understand concepts of area and relate area to multiplication and to addition. - [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) ## 5. Grade 3 · Solve problems involving measurement and estimation. - [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 ## 6. Grade 3 · 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 - [Angles in triangles (age 6+)](https://ai.page/c/angles-in-triangles-age-6/index.md): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size) ## 7. Grade 3 · Develop understanding of fractions as numbers. - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators - [Comparing fractions (age 7+)](https://ai.page/c/comparing-fractions-age-7/index.md): Solve problems involving counting in tenths, fractions of quantities, equivalence, fraction addition/subtraction, and fraction comparison - [Understanding fractions (age 9+)](https://ai.page/c/understanding-fractions-age-9-maths/index.md): Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods - [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 - [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 - [Understanding fractions (age 9+)](https://ai.page/c/understanding-fractions-age-9/index.md): Understand a fraction a/b with a > 1 as a sum of fractions 1/b (e.g. 3/5 = 1/5 + 1/5 + 1/5) - [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 ## 8. Grade 3 · Use place value understanding and properties of operations to perform multi-digit arithmetic. - [Multiplying by Tens](https://ai.page/c/multiplying-by-tens/index.md): Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations - [Fluent adding and subtracting within 1000](https://ai.page/c/fluent-adding-and-subtracting-within-1000/index.md): Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction - [Place Value Problem-Solving](https://ai.page/c/place-value-problem-solving/index.md): Solve number and practical problems involving place value with increasingly large positive numbers ## 9. Grade 3 · Solve problems involving the four operations, and identify and explain patterns in arithmetic. - [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 - [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 ## 10. Grade 3 · Multiply and divide within 100. - [Fluent adding and subtracting within 100](https://ai.page/c/fluent-adding-and-subtracting-within-100/index.md): Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction ## 11. Grade 3 · Understand properties of multiplication and the relationship between multiplication and division. - [Division as Unknown Factor](https://ai.page/c/division-as-unknown-factor/index.md): Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8) - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide ## 12. Grade 3 · Represent and solve problems involving addition and subtraction. - [Unknown in Addition & Subtraction](https://ai.page/c/unknown-in-addition-and-subtraction/index.md): Determine the unknown whole number in an addition or subtraction equation relating three whole numbers - [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) - [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 - [Multiplication as repeated addition](https://ai.page/c/multiplication-as-repeated-addition/index.md): Understand multiplication as repeated addition and grouping equal sets ## Health: 0 of 100 Of its 26 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): - Representing numbers with objects (age 8+) has no explanation yet - Estimating answers (age 7+) has no explanation yet - Perimeters of polygons has no explanation yet - Area (age 8+) has no explanation yet - Measuring Liquids & Masses has no explanation yet - Fractions as parts of shapes has no explanation yet - Angles in triangles (age 6+) has no explanation yet - Unit fractions has no explanation yet - Comparing fractions (age 7+) has no explanation yet - Understanding fractions (age 9+) has no explanation yet - Understanding fractions has no explanation yet - Fractions on a number line has no explanation yet - Understanding fractions (age 9+) has no explanation yet - Fraction Addition Concepts has no explanation yet - Multiplying by Tens has no explanation yet - Fluent adding and subtracting within 1000 has no explanation yet - Place Value Problem-Solving has no explanation yet - Patterns in Times Tables comes before Properties of Operations, which it needs - Patterns in Times Tables has no explanation yet - Two-Step Equations has no explanation yet - Fluent adding and subtracting within 100 has no explanation yet - Division as Unknown Factor comes before What Division Means, which it needs - Division as Unknown Factor has no explanation yet - Properties of Operations has no explanation yet - Unknown in Addition & Subtraction has no explanation yet - What Division Means has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Multiplication as repeated addition has no explanation yet Credit: The structure of Oregon academic standards: Mathematics (https://www.oregon.gov/ode/educator-resources/standards/mathematics/Pages/MathStandards.aspx); 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.