# Grade 2: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 31 concepts ready. In the app: https://ai.page/roadmap/wa-grade-2 Part of: [Washington: Mathematics](https://ai.page/roadmap/wa.md) Goal: Washington academic standards: Mathematics, Grade 2 ## 1. Data Science - [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 - [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another - [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 - [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 - [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 - [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 ## 3. Measurement and Data - [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 & 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 - [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 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 - [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 - [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 - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres - [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 ## 4. Numbers and Operations in Base Ten - [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 - [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 and subtracting tens mentally](https://ai.page/c/adding-and-subtracting-tens-mentally/index.md): Add and subtract a two-digit number and tens mentally and using concrete/pictorial representations - [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 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 - [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 - [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 - [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 ## 5. Operations and Algebraic Thinking - [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 - [Addition and subtraction within 20](https://ai.page/c/addition-and-subtraction-within-20/index.md): Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts - [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 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 ## Health: 0 of 100 Of its 31 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): - Precise Maths Communication has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Picture & Bar Graphs has no explanation yet - Halves & Quarters of Shapes has no explanation yet - Splitting shapes into equal parts (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 - Angles in triangles (age 7+) has no explanation yet - Measuring length (age 7+) has no explanation yet - Measuring & Plotting Lengths 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 to the minute (age 7+) has no explanation yet - Numbers on a number line has no explanation yet - Comparing lengths by measuring has no explanation yet - Addition and subtraction word problems has no explanation yet - Estimating Lengths has no explanation yet - Measuring with different units has no explanation yet - The three digits of a three-digit number has no explanation yet - Adding within 100 comes before Addition and subtraction within 20, which it needs - Adding within 100 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 - Addition and subtraction strategies (age 7+) has no explanation yet - Adding and subtracting tens mentally has no explanation yet - Addition and subtraction within 1000 has no explanation yet - Adding numbers has no explanation yet - Ordering Numbers to 1000 has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - Counting Within 1,000 has no explanation yet - Arrays for multiplication (age 7+) has no explanation yet - Odd or Even has no explanation yet - Addition and subtraction within 20 has no explanation yet - Fluent adding and subtracting within 20 has no explanation yet - Two-Step Word Problems has no explanation yet Credit: The structure of Washington academic standards: Mathematics (https://airtable.com/appAqCJWFHZMaNUh2/tblGy4kx6tGuscLHj/viwE5G0UuqG8WME5q/rec1fBPPr8EWxLc9Z/fldIxltCXshIi374r/attIv57JgNl1Gf2yT?blocks=hide); 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.