# Grade 2: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 28 concepts ready. In the app: https://ai.page/roadmap/ccss-math-grade-2

Part of: [Common Core: Maths](https://ai.page/roadmap/ccss-math.md)

Goal: Common Core State Standards for Mathematics, Grade 2

## 1. Geometry · Reason with shapes and their attributes.

- [Angles in triangles (age 7+)](https://ai.page/c/angles-in-triangles-age-7/index.md): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes
- [Rows & Columns in Rectangles](https://ai.page/c/rows-and-columns-in-rectangles/index.md): Partition a rectangle into rows and columns of same-size squares and count to find the total number of them
- [Splitting shapes into equal parts (age 7+)](https://ai.page/c/splitting-shapes-into-equal-parts-age-7/index.md): Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape

## 2. Measurement and Data · Measure and estimate lengths in standard units.

- [Measuring length (age 7+)](https://ai.page/c/measuring-length-age-7/index.md): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
- [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
- [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres
- [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

## 3. Measurement and Data · Represent and interpret data.

- [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph
- [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

## 4. Measurement and Data · Relate addition and subtraction to length.

- [Addition and subtraction word problems](https://ai.page/c/addition-and-subtraction-word-problems-2/index.md): Solve word problems involving lengths within 100, using addition and subtraction with drawings and equations
- [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line/index.md): Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram

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

- [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
- [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

## 6. Number and Operations in Base Ten · Understand place value.

- [A Hundred Is Ten Tens](https://ai.page/c/a-hundred-is-ten-tens/index.md): Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'
- [The three digits of a three-digit number](https://ai.page/c/the-three-digits-of-a-three-digit-number/index.md): Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
- [The multiples of 100](https://ai.page/c/the-multiples-of-100/index.md): Understand that the multiples of 100 (100–900) each represent a number of hundreds with 0 tens and 0 ones
- [Counting Within 1,000](https://ai.page/c/counting-within-1-000/index.md): Count within 1000, including skip-counting by 5s, 10s, and 100s
- [Reading and writing numbers to 1000](https://ai.page/c/reading-and-writing-numbers-to-1000/index.md): Read and write numbers to 1000 in numerals, number names, and expanded form
- [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

## 7. Number and Operations in Base Ten · Use place value understanding and properties of operations to add and subtract.

- [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
- [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
- [Addition and subtraction within 1000](https://ai.page/c/addition-and-subtraction-within-1000/index.md): Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
- [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
- [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

## 8. Operations and Algebraic Thinking · Represent and solve problems involving addition and subtraction.

- [Two-Step Word Problems](https://ai.page/c/two-step-word-problems/index.md): Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions

## 9. Operations and Algebraic Thinking · Add and subtract within 20.

- [Fluent adding and subtracting within 20](https://ai.page/c/fluent-adding-and-subtracting-within-20/index.md): Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers

## 10. Operations and Algebraic Thinking · Work with equal groups of objects to gain foundations for multiplication.

- [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
- [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

## Health: 0 of 100

Of its 28 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):

- Angles in triangles (age 7+) has no explanation yet
- Rows & Columns in Rectangles comes before Arrays for multiplication (age 7+), which it needs
- Rows & Columns in Rectangles has no explanation yet
- Splitting shapes into equal parts (age 7+) has no explanation yet
- Measuring length (age 7+) has no explanation yet
- Measuring with different units has no explanation yet
- Estimating Lengths has no explanation yet
- Comparing lengths by measuring has no explanation yet
- Picture & Bar Graphs has no explanation yet
- Measuring & Plotting Lengths has no explanation yet
- Addition and subtraction word problems has no explanation yet
- Numbers on a number line has no explanation yet
- Telling time to the minute (age 7+) 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
- A Hundred Is Ten Tens has no explanation yet
- The three digits of a three-digit number has no explanation yet
- The multiples of 100 has no explanation yet
- Counting Within 1,000 has no explanation yet
- Reading and writing numbers to 1000 has no explanation yet
- Ordering Numbers to 1000 has no explanation yet
- Fluent adding and subtracting within 100 comes before Fluent adding and subtracting within 20, which it needs
- Fluent adding and subtracting within 100 has no explanation yet
- Adding numbers has no explanation yet
- Addition and subtraction within 1000 has no explanation yet
- 10 or 100 More or Less has no explanation yet
- Addition and subtraction strategies (age 7+) has no explanation yet
- Two-Step Word Problems has no explanation yet
- Fluent adding and subtracting within 20 has no explanation yet
- Odd or Even has no explanation yet
- Arrays for multiplication (age 7+) has no explanation yet

Credit: The structure of Common Core State Standards for Mathematics; 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.
