# Grade 2: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/in-grade-2

Part of: [Indiana: Mathematics](https://ai.page/roadmap/in.md)

Goal: Indiana academic standards: Mathematics, Grade 2

## 1. Data Analysis · Collect, organize, and graph data from observations, surveys, and investigations using scaled bar graphs and pictographs (limit scale to 2s, 5s, 10s, and 100s); interpret mathematical 

- [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
- [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data

## 2. Measurement · Find the value of a collection of pennies, nickels, dimes, quarters, and dollars. (E)

- [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

## 3. Measurement · Describe relationships of time, including seconds in a minute; minutes in an hour; hours in a day; days in a week; and days, weeks, and months in a year.

- [Time Units and Calendar Facts](https://ai.page/c/time-units-and-calendar-facts/index.md): Know the number of seconds in a minute and the number of days in each month, year, and leap year
- [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years

## 4. Measurement · Tell and write time to the nearest five minutes from analog clocks, using a.m. and p.m. Solve real-world problems involving addition and subtraction of time intervals on the hour or half

- [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

## 5. Measurement · Estimate and measure volume (capacity) using cups and pints. Add and subtract to solve real-world problems involving capacities that are given in the same units or obtained through inves

- [Capacity and volume](https://ai.page/c/capacity-and-volume/index.md): Measure and begin to record capacity and volume using non-standard and standard units
- [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units

## 6. Measurement · Estimate and measure the length of an object by selecting and using appropriate tools, such as rulers, yardsticks, meter sticks, and measuring tapes to the nearest inch, foot, yard, cent

- [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

## 7. Measurement · Describe the relationships among an inch, foot, and yard. Describe the relationship between a centimeter and meter.

- [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

## 8. Geometry · Partition circles and rectangles into two, three, or four equal parts; describe the shares using the words halves, thirds, half of, a third of, etc.; and describe the whole as two halves, t

- [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

## 9. Geometry · Partition a rectangle into rows and columns of same-size (unit) squares and count to find the total number of same-size squares.

- [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

## 10. Geometry · Investigate and predict the result of composing and decomposing two- and three-dimensional shapes.

- [Composing Shapes](https://ai.page/c/composing-shapes/index.md): Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape

## 11. Geometry · Identify, describe, and classify two- and three-dimensional shapes (i.e., triangle, square, rectangle, cube, right rectangular prism) according to the number and shape of faces and the numb

- [Edges, vertices, and faces](https://ai.page/c/edges-vertices-and-faces/index.md): Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces

## 12. Computation and Algebraic Thinking · Create, extend, and give an appropriate rule for number patterns using addition and subtraction within 1,000.

- [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur

## 13. Computation and Algebraic Thinking · Show that the order in which two numbers are added (commutative property) and how the numbers are grouped in addition (associative property) will not change the su

- [Addition in any order](https://ai.page/c/addition-in-any-order/index.md): Understand and apply the commutative property of addition: addends can be added in any order

## 14. Computation and Algebraic Thinking · Using number sense and place value strategies, add and subtract within 1,000, including composing and decomposing tens and hundreds. Use models, drawings, and stra

- [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
- [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

## 15. Computation and Algebraic Thinking · Solve real-world problems involving addition and subtraction within 100 in situations of adding to, taking from, putting together, taking apart, and comparing, wit

- [Addition and subtraction word problems](https://ai.page/c/addition-and-subtraction-word-problems/index.md): Solve addition and subtraction word problems within 10 using objects or drawings

## 16. Number Sense · Use place value understanding to compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using > , = , and < symbols to record the results of compariso

- [Comparing and ordering numbers](https://ai.page/c/comparing-and-ordering-numbers/index.md): Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
- [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

## 17. Number Sense · Define and model a "hundred" as a group of ten tens. Model place value concepts of three-digit numbers, multiples of 100, and equivalent forms of whole numbers using objects and drawing

- [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'

## 18. Number Sense · Determine whether a group of objects (up to 20) has an odd or even number of members (e.g., by placing that number of objects in two groups of the same size and recognizing that for eve

- [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

## 19. Number Sense · Read and write whole numbers up to 1,000. Use words, models, standard form, and expanded form to represent and show equivalent forms of whole numbers up to 1,000. (E)

- [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

## 20. Number Sense · Count by ones, twos, fives, tens, and hundreds up to at least 1,000 from any given number. (E)

- [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting)

## Health: 0 of 100

Of its 25 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):

- Picture & Bar Graphs has no explanation yet
- Pictograms and tally charts (age 6+) has no explanation yet
- Halves and quarters (age 7+) has no explanation yet
- Time Units and Calendar Facts has no explanation yet
- Days, Weeks, Months & Years has no explanation yet
- Telling time to the minute (age 7+) has no explanation yet
- Capacity and volume has no explanation yet
- Calculating with measurements has no explanation yet
- Measuring length (age 7+) has no explanation yet
- Measuring with different units has no explanation yet
- Halves & Quarters of Shapes has no explanation yet
- Rows & Columns in Rectangles has no explanation yet
- Composing Shapes has no explanation yet
- Edges, vertices, and faces has no explanation yet
- Shape patterns has no explanation yet
- Addition in any order has no explanation yet
- Addition and subtraction within 1000 has no explanation yet
- Adding within 100 has no explanation yet
- Addition and subtraction word problems has no explanation yet
- Comparing and ordering numbers has no explanation yet
- Ordering Numbers to 1000 has no explanation yet
- A Hundred Is Ten Tens has no explanation yet
- Odd or Even comes before Counting in 2s, which it needs
- Odd or Even has no explanation yet
- Reading and writing numbers to 1000 has no explanation yet
- Counting in 2s has no explanation yet

Credit: The structure of Indiana academic standards: Mathematics (https://www.in.gov/doe/files/AlgebraI-Math-Content-Connectors.docx.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.
