# Grade 1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 37 concepts ready. In the app: https://ai.page/roadmap/ok-grade-1 Part of: [Oklahoma: Mathematics](https://ai.page/roadmap/ok.md) Goal: Oklahoma academic standards: Mathematics, Grade 1 ## 1. Data & Probability · Collect, organize, and interpret categorical and numerical data. - [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables - [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 & Measurement · Describe and measure concepts of time. - [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years - [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 ## 3. Geometry & Measurement · Select and use nonstandard and standard units to describe length and volume/capacity. - [Capacity and volume](https://ai.page/c/capacity-and-volume/index.md): Measure and begin to record capacity and volume using non-standard and standard units - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units - [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 - [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 - [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 mass and weight](https://ai.page/c/measuring-mass-and-weight/index.md): Measure and begin to record mass/weight using non-standard and standard units ## 4. Geometry & Measurement · Recognize and compose two- and three-dimensional shapes. - [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) - [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 - [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 ## 5. Algebraic Reasoning & Algebra · Identify patterns found in real-world and mathematical problems. - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences - [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 ## 6. Numbers & Operations · Identify coins and their values. - [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes - [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 - [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 ## 7. Numbers & Operations · Develop foundational ideas for fractions. - [Fractions of amounts](https://ai.page/c/fractions-of-amounts/index.md): Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators - [Division as equal sharing](https://ai.page/c/division-as-equal-sharing/index.md): Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made) - [Fractions as parts of shapes](https://ai.page/c/fractions-as-parts-of-shapes/index.md): Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole ## 8. Numbers & Operations · Solve addition and subtraction problems with sums and minuends of up to 10 in real-world and mathematical contexts. - [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 - [Fluent adding and subtracting within 10](https://ai.page/c/fluent-adding-and-subtracting-within-10/index.md): Fluently add and subtract within 10 - [Finding a missing number in addition](https://ai.page/c/finding-a-missing-number-in-addition/index.md): Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10) ## 9. Numbers & Operations · Count, compare, and represent whole numbers up to 100, with an emphasis on grouping in terms of tens and ones. - [Comparing groups: more or fewer](https://ai.page/c/comparing-groups-more-or-fewer/index.md): Compare two groups of objects to determine which has more, fewer, or whether they are equal, using matching and counting strategies - [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 - [Representing numbers with objects](https://ai.page/c/representing-numbers-with-objects/index.md): Represent numbers using objects, pictorial representations, and the number line - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [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 - [One-to-one counting](https://ai.page/c/one-to-one-counting/index.md): One-to-one correspondence when counting objects: each object is paired with exactly one number name - [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 - [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting) - [A Hundred Is Ten Tens](https://ai.page/c/a-hundred-is-ten-tens/index.md): Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred' - [Counting objects to 20](https://ai.page/c/counting-objects-to-20/index.md): Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered) ## Health: 0 of 100 Of its 37 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): - Pictograms and tally charts has no explanation yet - Sorting Data into Categories has no explanation yet - Picture & Bar Graphs has no explanation yet - Days, Weeks, Months & Years has no explanation yet - Telling Time: Hours and Half Hours has no explanation yet - Capacity and volume has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Measuring length (age 6+) has no explanation yet - Comparing lengths by measuring has no explanation yet - Measuring mass and weight has no explanation yet - 3-D shapes has no explanation yet - 2-D shapes has no explanation yet - Composing Shapes has no explanation yet - Building with 3-D Shapes has no explanation yet - Patterns & Sequences has no explanation yet - Extending Table Patterns has no explanation yet - Coin Values has no explanation yet - Pounds & Pence Notation has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Fractions of amounts has no explanation yet - Unit fractions has no explanation yet - Division as equal sharing has no explanation yet - Fractions as parts of shapes has no explanation yet - Addition and subtraction word problems has no explanation yet - Fluent adding and subtracting within 10 has no explanation yet - Finding a missing number in addition has no explanation yet - Comparing groups: more or fewer has no explanation yet - Numbers on a number line has no explanation yet - Representing numbers with objects has no explanation yet - Representing Numbers has no explanation yet - 10 or 100 More or Less has no explanation yet - One-to-one counting has no explanation yet - Rote counting to 100 has no explanation yet - Counting in 2s has no explanation yet - A Hundred Is Ten Tens has no explanation yet - Counting objects to 20 has no explanation yet Credit: The structure of Oklahoma academic standards: Mathematics (https://sde.ok.gov/sites/default/files/2022%20OAS-M%20FINAL.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.