# Grade 2: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 38 concepts ready. In the app: https://ai.page/roadmap/tx-grade-2

Part of: [Texas TEKS: Mathematics](https://ai.page/roadmap/tx.md)

Goal: Texas Essential Knowledge and Skills: Mathematics, Grade 2

## 1. Data analysis

- [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

## 2. Geometry and measurement

- [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
- [Telling time to the minute (age 8+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks
- [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
- [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft)
- [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
- [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
- [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres
- [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
- [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
- [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
- [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
- [Building with 3-D Shapes](https://ai.page/c/building-with-3-d-shapes/index.md): Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes
- [2-D shapes (age 6+)](https://ai.page/c/2-d-shapes-age-6/index.md): Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line
- [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
- [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes

## 3. Algebraic reasoning

- [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
- [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
- [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

## 4. Number and operations

- [Multiplication as repeated addition (age 6+)](https://ai.page/c/multiplication-as-repeated-addition-age-6/index.md): Solve problems involving multiplication and division using arrays, repeated addition, mental methods, and known facts
- [Decimal & Percent Notation](https://ai.page/c/decimal-and-percent-notation/index.md): Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
- [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
- [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
- [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
- [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
- [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
- [Two-step addition and subtraction problems](https://ai.page/c/two-step-addition-and-subtraction-problems/index.md): Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
- [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
- [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b
- [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
- [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000
- [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
- [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
- [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

## 5. Mathematical process standards

- [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
- [Choosing mathematical tools](https://ai.page/c/choosing-mathematical-tools/index.md): Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task
- [Connecting maths to real life](https://ai.page/c/connecting-maths-to-real-life/index.md): Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context
- [Working with money](https://ai.page/c/working-with-money/index.md): Model real-world problems involving measurement, money, and time by choosing appropriate representations and interpreting results in context

## Health: 0 of 100

Of its 38 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
- Telling time to the minute (age 7+) has no explanation yet
- Telling time to the minute (age 8+) has no explanation yet
- Understanding Area has no explanation yet
- Area (age 8+) has no explanation yet
- Area by Tiling has no explanation yet
- Measuring length (age 7+) has no explanation yet
- Estimating Lengths has no explanation yet
- Numbers on a number line has no explanation yet
- Measuring with different units has no explanation yet
- Composing Shapes has no explanation yet
- Halves & Quarters of Shapes has no explanation yet
- Building with 3-D Shapes has no explanation yet
- 2-D shapes (age 6+) has no explanation yet
- Sorting 2-D and 3-D shapes has no explanation yet
- Measuring Perimeters has no explanation yet
- Addition and subtraction word problems has no explanation yet
- 10 or 100 More or Less has no explanation yet
- Odd or Even has no explanation yet
- Multiplication as repeated addition (age 6+) has no explanation yet
- Decimal & Percent Notation has no explanation yet
- Halves and quarters (age 7+) has no explanation yet
- Two-Step Word Problems has no explanation yet
- Place Value to 1000 has no explanation yet
- Adding numbers has no explanation yet
- Fluent adding and subtracting within 20 has no explanation yet
- Two-step addition and subtraction problems has no explanation yet
- Fraction Notation has no explanation yet
- Fractions of a whole has no explanation yet
- Ordering Numbers to 1000 has no explanation yet
- Comparing Large Numbers has no explanation yet
- Reading and writing numbers to 1000 has no explanation yet
- Addition and subtraction within 1000 has no explanation yet
- Place Value Problem-Solving has no explanation yet
- Precise Maths Communication has no explanation yet
- Choosing mathematical tools has no explanation yet
- Connecting maths to real life has no explanation yet
- Working with money has no explanation yet

Credit: The structure of Texas Essential Knowledge and Skills: Mathematics (http://ritter.tea.state.tx.us/rules/tac/chapter111/index.html); 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.