# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 13 concepts ready. In the app: https://ai.page/roadmap/sd-grade-3 Part of: [South Dakota: Mathematics](https://ai.page/roadmap/sd.md) Goal: South Dakota academic standards: Mathematics, Grade 3 ## 1. Number and Operations — Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Note - Grade 3 expectations in this domain are limited to fr - [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 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 - [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 ## 2. Number and Operations — Fractions · Understand a fraction as a number on the number line; represent fractions on a number line diagram. - [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 ## 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 · Recognize area as an attribute of plane figures and understand concepts of area measurement. - [Understanding Area](https://ai.page/c/understanding-area/index.md): Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps ## 5. Operations and Algebraic Thinking · 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 - [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 ## Health: 0 of 100 Of its 13 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): - 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 on a number line has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Fractions on a number line 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 - Understanding Area has no explanation yet - Fluent adding and subtracting within 100 has no explanation yet - Fluent multiplication and division facts has no explanation yet Credit: The structure of South Dakota academic standards: Mathematics (http://doe.sd.gov/contentstandards/documents/SD-Math-Standard.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.