# Grade 2: 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/ga-grade-2

Part of: [Georgia: Mathematics](https://ai.page/roadmap/ga.md)

Goal: Georgia academic standards: Mathematics, Grade 2

## 1. Geometric & Spatial Reasoning · Draw and partition shapes and other objects with specific attributes, and conduct observations of everyday items and structures to identify how shapes exist in the worl

- [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
- [Halves & Quarters of Shapes](https://ai.page/c/halves-and-quarters-of-shapes/index.md): Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
- [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences
- [Sorting 2-D and 3-D shapes](https://ai.page/c/sorting-2-d-and-3-d-shapes/index.md): Compare and sort common 2-D and 3-D shapes and everyday objects by their properties

## 2. Measurement & Data Reasoning · Solve real-life problems involving 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
- [Telling Time: Minutes](https://ai.page/c/telling-time-minutes/index.md): Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times
- [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation

## 3. Measurement & Data Reasoning · Estimate and measure the lengths of objects and distance to solve problems found in real-life using standard units of measurement, including inches, feet, and yards and 

- [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen
- [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
- [Measuring & Plotting Lengths](https://ai.page/c/measuring-and-plotting-lengths/index.md): Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot
- [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres

## 4. Patterning & Algebraic Reasoning · Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns.

- [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences

## 5. Numerical Reasoning · Work with equal groups to gain foundations for multiplication through real-life, mathematical problems.

- [Arrays for multiplication (age 7+)](https://ai.page/c/arrays-for-multiplication-age-7/index.md): Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends
- [Odd or Even](https://ai.page/c/odd-or-even/index.md): Determine whether a group of objects (up to 20) has an odd or even number of members

## 6. Numerical Reasoning · Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and subtraction within 1

- [Adding within 100](https://ai.page/c/adding-within-100/index.md): Add within 100 using strategies based on place value, including adding a two-digit and one-digit number, and a two-digit and a multiple of 10
- [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
- [Addition and subtraction strategies (age 7+)](https://ai.page/c/addition-and-subtraction-strategies-age-7/index.md): Explain why addition and subtraction strategies work, using place value and the properties of operations
- [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations
- [10 or 100 More or Less](https://ai.page/c/10-or-100-more-or-less/index.md): Find 10 or 100 more or less than a given number up to 1000

## 7. Numerical Reasoning · Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and stru

- [Ordering Numbers to 1000](https://ai.page/c/ordering-numbers-to-1000/index.md): Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
- [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
- [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000
- [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
- [Place Value to 1000](https://ai.page/c/place-value-to-1000/index.md): Solve number problems and practical problems involving place value of numbers up to 1000

## 8. Mathematical Practices · Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective

- [Justifying mathematical reasoning](https://ai.page/c/justifying-mathematical-reasoning/index.md): Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work
- [Precise Maths Communication](https://ai.page/c/precise-maths-communication/index.md): Communicate with mathematical precision: use correct vocabulary, specify units, and use symbols accurately

## 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):

- Fractions as parts of shapes has no explanation yet
- Halves & Quarters of Shapes has no explanation yet
- Patterns & Sequences has no explanation yet
- Sorting 2-D and 3-D shapes has no explanation yet
- Halves and quarters (age 7+) comes before Fluent adding and subtracting within 100, which it needs
- Halves and quarters (age 7+) has no explanation yet
- Telling Time: Minutes has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Measuring with different units has no explanation yet
- Comparing lengths by measuring has no explanation yet
- Measuring & Plotting Lengths has no explanation yet
- Estimating Lengths has no explanation yet
- Extending Table Patterns has no explanation yet
- Arrays for multiplication (age 7+) has no explanation yet
- Odd or Even has no explanation yet
- Adding within 100 has no explanation yet
- Fluent adding and subtracting within 100 has no explanation yet
- Addition and subtraction strategies (age 7+) has no explanation yet
- Adding numbers has no explanation yet
- 10 or 100 More or Less has no explanation yet
- Ordering Numbers to 1000 has no explanation yet
- Place value of each digit has no explanation yet
- Comparing Large Numbers has no explanation yet
- Place Value Problem-Solving has no explanation yet
- Place Value to 1000 has no explanation yet
- Justifying mathematical reasoning has no explanation yet
- Precise Maths Communication has no explanation yet

Credit: The structure of Georgia academic standards: Mathematics (https://www.gadoe.org/Curriculum-Instruction-and-Assessment/Curriculum-and-Instruction/Documents/Mathematics/Georgia-K12-Mathematics-Standards/Georgia-Mathematics-Curriculum-Maps/HS-Algebra-Mathematics-Curriculum-Map-NEW-2023.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.
