# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 14 concepts ready. In the app: https://ai.page/roadmap/oh-grade-3

Part of: [Ohio: Mathematics](https://ai.page/roadmap/oh.md)

Goal: Ohio 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.

- [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 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
- [Fractions of a whole (age 8+)](https://ai.page/c/fractions-of-a-whole-age-8/index.md): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6)
- [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

## 2. 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

## 3. 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

## 4. Measurement and Data · Work with time and money.

- [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
- [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
- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-4/index.md): Solve word problems involving elapsed time by adding and subtracting time intervals in minutes, including using a number line
- [Telling time to the minute](https://ai.page/c/telling-time-to-the-minute/index.md): Measure and begin to record time in hours, minutes, and seconds

## Health: 0 of 100

Of its 14 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 (age 8+) has no explanation yet
- Equivalent fractions has no explanation yet
- Equivalent fractions on a number line has no explanation yet
- Fractions of a whole (age 8+) 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
- Halves and quarters (age 7+) has no explanation yet
- Estimating answers (age 7+) has no explanation yet
- Numbers on a number line has no explanation yet
- Telling time to the minute has no explanation yet

Credit: The structure of Ohio academic standards: Mathematics (http://education.ohio.gov/getattachment/Topics/Learning-in-Ohio/Mathematics/Ohio-s-Learning-Standards-in-Mathematics/MATH-Standards-2017.pdf.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.
