# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 11 concepts ready. In the app: https://ai.page/roadmap/wy-grade-3

Part of: [Wyoming: Mathematics](https://ai.page/roadmap/wy.md)

Goal: Wyoming academic standards: Mathematics, Grade 3

## 1. Number And Operations - Fractions · May be able to explain equivalence of fractions in special cases, and compare fractions by reasoning about their size with partial success when given a pictorial re

- [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

## 2. Number And Operations - Fractions · Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size when given a pictorial representation.

- [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
- [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator

## 3. Number And Operations - Fractions · May be able to represent fractions on a number line diagram when given a number line pre-partitioned into equal parts from 0 to 1 with partial success.

- [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
- [Fractions on a number line (age 8+)](https://ai.page/c/fractions-on-a-number-line-age-8/index.md): Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b

## 4. Measurement And Data · May be able to measure area by tiling with unit squares.

- [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

## 5. Measurement And Data · Relate area to the operations of multiplication and addition.

- [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 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

## 6. Operations And Algebraic Thinking · Solve two-step word problems (limited to the whole number system) using the four basic operations. Students should apply the Order of Operations when there are no p

- [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

## Health: 0 of 100

Of its 11 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+) comes before Comparing fractions, which it needs
- Comparing fractions (age 8+) has no explanation yet
- Equivalent fractions comes before Fraction Notation, which it needs
- Equivalent fractions has no explanation yet
- Equivalent fractions on a number line comes before Fractions on a number line (age 8+), which it needs
- Equivalent fractions on a number line has no explanation yet
- Fraction Notation has no explanation yet
- Comparing fractions comes before Fractions on a number line, which it needs
- Comparing fractions has no explanation yet
- Fractions on a number line has no explanation yet
- Fractions on a number line (age 8+) has no explanation yet
- Area by Tiling has no explanation yet
- Understanding angles (age 8+) has no explanation yet
- Area and the distributive property has no explanation yet
- Two-Step Equations has no explanation yet

Credit: The structure of Wyoming academic standards: Mathematics (https://edu.wyoming.gov/wp-content/uploads/2021/05/2020-Math-PLDs-for-website-05.10.21.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.
