# Grade 2: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 34 concepts ready. In the app: https://ai.page/roadmap/ar-grade-2 Part of: [Arkansas: Mathematics](https://ai.page/roadmap/ar.md) Goal: Arkansas academic standards: Mathematics, Grade 2 ## 1. Grade 2 · Organize and analyze 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 ## 2. Grade 2 · Explore time and money values and concepts. - [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 - [Money Addition & Subtraction](https://ai.page/c/money-addition-and-subtraction/index.md): Solve simple money problems involving addition and subtraction, including giving change - [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 - [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. Grade 2 · Explore the perimeter and area of shapes. - [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 Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes - [Perimeters of polygons](https://ai.page/c/perimeters-of-polygons/index.md): Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa) ## 4. Grade 2 · Investigate measurement using rulers. - [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 - [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 - [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 - [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 ## 5. Grade 2 · Analyze attributes of shapes to develop generalizations about their properties. - [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 - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [2-D faces on 3-D shapes](https://ai.page/c/2-d-faces-on-3-d-shapes/index.md): Identify 2-D shapes on the surface of 3-D shapes (e.g. a circle on a cylinder, a triangle on a pyramid) - [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 - [2-D shapes (age 7+)](https://ai.page/c/2-d-shapes-age-7/index.md): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them ## 6. Grade 2 · Develop and apply understanding of foundational algebraic concepts. - [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 ## 7. Grade 2 · Solve real-world problems. - [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 ## 8. Grade 2 · Perform operations using place value understanding and properties of operations. - [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 - [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 - [Place value understanding and number facts](https://ai.page/c/place-value-understanding-and-number-facts/index.md): Use place value understanding and number facts to solve problems - [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 ## 9. Grade 2 · Build a conceptual understanding of fractions. - [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 - [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 ## 10. Grade 2 · Use place value understanding to compare numbers. - [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 ## 11. Grade 2 · Understand the base ten place value system. - [Subtracting multiples of 10](https://ai.page/c/subtracting-multiples-of-10/index.md): Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies - [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) - [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations ## 12. Grade 2 · Extend the counting sequence. - [Counting forwards and backwards](https://ai.page/c/counting-forwards-and-backwards/index.md): Count forwards and backwards in steps of 3 from 0 - [Counting forwards and backwards (age 6+)](https://ai.page/c/counting-forwards-and-backwards-age-6/index.md): Count forwards and backwards in tens from any number (not just multiples of 10) - [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 ## Health: 0 of 100 Of its 34 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 - 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 - Money Addition & Subtraction has no explanation yet - Time Units and Calendar Facts has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Area by Tiling has no explanation yet - Measuring Perimeters has no explanation yet - Perimeters of polygons has no explanation yet - Measuring length (age 7+) has no explanation yet - Comparing lengths by measuring has no explanation yet - Addition and subtraction word problems has no explanation yet - Measuring with different units has no explanation yet - Edges, vertices, and faces has no explanation yet - 2-D shapes has no explanation yet - 2-D faces on 3-D shapes has no explanation yet - Angles in triangles (age 7+) has no explanation yet - 2-D shapes (age 7+) has no explanation yet - Odd or Even has no explanation yet - Two-Step Word Problems comes before Fluent adding and subtracting within 100, which it needs - Two-Step Word Problems has no explanation yet - Place Value Problem-Solving comes before Place value of each digit, which it needs - Place Value Problem-Solving has no explanation yet - Arrays for multiplication (age 7+) has no explanation yet - Place value understanding and number facts has no explanation yet - Fluent adding and subtracting within 100 has no explanation yet - Adding numbers has no explanation yet - Halves & Quarters of Shapes has no explanation yet - Splitting shapes into equal parts (age 7+) has no explanation yet - Comparing and ordering numbers has no explanation yet - Ordering Numbers to 1000 has no explanation yet - Subtracting multiples of 10 has no explanation yet - Place value of each digit has no explanation yet - Numbers to 10,000 has no explanation yet - Counting forwards and backwards has no explanation yet - Counting forwards and backwards (age 6+) has no explanation yet - Counting Within 1,000 has no explanation yet Credit: The structure of Arkansas academic standards: Mathematics (https://dese.ade.arkansas.gov/admin/Files/AR_2023_K-8,_Alg,_Geo_Math_Standards_LS_6.21.23_LS.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.