# Grade 1: 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/tx-grade-1 Part of: [Texas TEKS: Mathematics](https://ai.page/roadmap/tx.md) Goal: Texas Essential Knowledge and Skills: Mathematics, Grade 1 ## 1. Data analysis - [Sorting Data into Categories](https://ai.page/c/sorting-data-into-categories/index.md): Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity - [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: 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 - [Measuring length (age 6+)](https://ai.page/c/measuring-length-age-6/index.md): Measure the length of an object using same-size length units laid end to end with no gaps or overlaps - [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 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 - [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 & 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 - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres - [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 - [3-D shapes](https://ai.page/c/3-d-shapes/index.md): Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones) - [Angles in triangles (age 6+)](https://ai.page/c/angles-in-triangles-age-6/index.md): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size) - [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 - [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide - [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 - [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) - [Rote counting to 100](https://ai.page/c/rote-counting-to-100/index.md): Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones ## 4. Number and operations - [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 - [Pounds & Pence Notation](https://ai.page/c/pounds-and-pence-notation/index.md): Recognise and use symbols for pounds (£) and pence (p) and combine amounts to make a particular value - [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 - [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 - [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 - [Representing numbers with objects](https://ai.page/c/representing-numbers-with-objects/index.md): Represent numbers using objects, pictorial representations, and the number line - [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 ## 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 - [Hands-On Problem Solving](https://ai.page/c/hands-on-problem-solving/index.md): Select and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem - [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 - [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 ## 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): - Sorting Data into Categories has no explanation yet - Picture & Bar Graphs has no explanation yet - Telling Time: Hours and Half Hours has no explanation yet - Measuring length (age 6+) has no explanation yet - Measuring length (age 7+) has no explanation yet - Measuring with different units has no explanation yet - Comparing lengths by measuring has no explanation yet - Measuring & Plotting Lengths has no explanation yet - Estimating Lengths 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 - 3-D shapes has no explanation yet - Angles in triangles (age 6+) has no explanation yet - Sorting 2-D and 3-D shapes has no explanation yet - Measuring Perimeters has no explanation yet - Properties of Operations has no explanation yet - What the equals sign means has no explanation yet - Unknown in Addition & Subtraction has no explanation yet - Connecting Representations has no explanation yet - Rote counting to 100 has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Pounds & Pence Notation has no explanation yet - Addition and subtraction within 20 has no explanation yet - Addition and subtraction word problems 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 - Representing numbers with objects has no explanation yet - Place Value to 1000 has no explanation yet - Precise Maths Communication has no explanation yet - Hands-On Problem Solving has no explanation yet - Making Sense of Problems has no explanation yet - Connecting maths to real life 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.