# Grade 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 26 concepts ready. In the app: https://ai.page/roadmap/ga-grade-1 Part of: [Georgia: Mathematics](https://ai.page/roadmap/ga.md) Goal: Georgia academic standards: Mathematics, Grade 1 ## 1. Measurement & Data Reasoning · Use appropriate tools to measure, order, and compare intervals of length and time, as well as denominations of money to solve real-life, mathematical problems and analyz - [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 - [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: Hours and Half Hours](https://ai.page/c/telling-time-hours-and-half-hours/index.md): Tell the time to the hour and half past the hour, and draw clock hands to show these times - [Telling Time: Minutes](https://ai.page/c/telling-time-minutes/index.md): Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times - [Measuring length](https://ai.page/c/measuring-length/index.md): Order three objects by length and compare the lengths of two objects indirectly using a third object - [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 - [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 ## 2. Geometric & Spatial Reasoning · Compose shapes, analyze the attributes of shapes, and relate their parts to the whole. - [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 - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [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 - [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 ## 3. Patterning & Algebraic Reasoning · Identify, describe, extend, and create repeating patterns, growing patterns, and shrinking patterns found in real-life situations. - [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences ## 4. Numerical Reasoning · Use concrete models, the base ten structure, and properties of operations to add and subtract within 100. - [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 More or 10 Less](https://ai.page/c/10-more-or-10-less/index.md): Mentally find 10 more or 10 less than a given two-digit number without counting ## 5. Numerical Reasoning · Explain the relationship between addition and subtraction and apply the properties of operations to solve real-life addition and subtraction problems within 20. - [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 - [What the equals sign means](https://ai.page/c/what-the-equals-sign-means/index.md): Understand the meaning of the equal sign as 'is the same as' and determine if equations are true or false - [Unknown in Addition & Subtraction](https://ai.page/c/unknown-in-addition-and-subtraction/index.md): Determine the unknown whole number in an addition or subtraction equation relating three whole numbers - [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 - [Inverse: addition undoes subtraction](https://ai.page/c/inverse-addition-undoes-subtraction/index.md): Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems - [Connecting Representations](https://ai.page/c/connecting-representations/index.md): Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning) ## 6. Numerical Reasoning · Extend the count sequence to 120. Read, write, and represent numerical values to 120 and compare numerical values to 100. - [Reading and writing numbers to 100](https://ai.page/c/reading-and-writing-numbers-to-100/index.md): Read and write numerals from 0 to 100 - [Reading and writing numbers to 120](https://ai.page/c/reading-and-writing-numbers-to-120/index.md): Count to 120 starting at any number less than 120; read and write numerals to 120 - [The two digits of a two-digit number](https://ai.page/c/the-two-digits-of-a-two-digit-number/index.md): Understand that the two digits of a two-digit number represent amounts of tens and ones ## 7. Mathematical Practices · Display perseverance and patience in problem-solving. Demonstrate skills and strategies needed to succeed in mathematics, including critical thinking, reasoning, and effective - [Justifying mathematical reasoning](https://ai.page/c/justifying-mathematical-reasoning/index.md): Construct and follow multi-step mathematical arguments; identify errors in reasoning and explain why a method works or does not work - [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 - [Making Sense of Problems](https://ai.page/c/making-sense-of-problems/index.md): Make sense of a problem by identifying what is being asked, choosing concrete objects or pictures to represent the situation, and explaining a pathway to the solution ## Health: 0 of 100 Of its 26 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): - Working with money has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Telling Time: Hours and Half Hours has no explanation yet - Telling Time: Minutes has no explanation yet - Measuring length has no explanation yet - Comparing lengths by measuring has no explanation yet - Measuring with different units has no explanation yet - Halves & Quarters of Shapes has no explanation yet - 2-D shapes has no explanation yet - Composing Shapes has no explanation yet - Sorting 2-D and 3-D shapes has no explanation yet - Extending Table Patterns has no explanation yet - Addition and subtraction within 1000 has no explanation yet - 10 More or 10 Less comes before The two digits of a two-digit number, which it needs - 10 More or 10 Less has no explanation yet - Addition and subtraction within 20 has no explanation yet - What the equals sign means has no explanation yet - Unknown in Addition & Subtraction has no explanation yet - Fluent adding and subtracting within 20 has no explanation yet - Inverse: addition undoes subtraction has no explanation yet - Connecting Representations has no explanation yet - Reading and writing numbers to 100 has no explanation yet - Reading and writing numbers to 120 has no explanation yet - The two digits of a two-digit number has no explanation yet - Justifying mathematical reasoning has no explanation yet - Precise Maths Communication has no explanation yet - Making Sense of Problems has no explanation yet Credit: The structure of Georgia academic standards: Mathematics (https://www.gadoe.org/Curriculum-Instruction-and-Assessment/Curriculum-and-Instruction/Documents/Mathematics/Georgia-K12-Mathematics-Standards/Georgia-Mathematics-Curriculum-Maps/HS-Algebra-Mathematics-Curriculum-Map-NEW-2023.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.