# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 40 concepts ready. In the app: https://ai.page/roadmap/ok-grade-3 Part of: [Oklahoma: Mathematics](https://ai.page/roadmap/ok.md) Goal: Oklahoma academic standards: Mathematics, Grade 3 ## 1. Data & Probability · Collect, 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 - [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data ## 2. Geometry & Measurement · Solve problems by telling time to the nearest five-minute interval. - [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 - [Telling time to the minute (age 8+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-4/index.md): Solve word problems involving elapsed time by adding and subtracting time intervals in minutes, including using a number line ## 3. Geometry & Measurement · Understand measurable attributes of real-world and mathematical objects using various tools. - [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 - [Estimating Lengths](https://ai.page/c/estimating-lengths/index.md): Estimate lengths using units of inches, feet, centimetres, and metres - [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 - [Understanding Area](https://ai.page/c/understanding-area/index.md): Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps - [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) - [Counting Unit Cubes](https://ai.page/c/counting-unit-cubes/index.md): Measure volumes by counting unit cubes using cubic cm, cubic in, cubic ft, and other units - [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. Geometry & Measurement · Analyze and use geometric attributes to describe and create polygons and three-dimensional figures in various contexts. - [Types of angles](https://ai.page/c/types-of-angles/index.md): Identify acute and obtuse angles; compare and order angles up to two right angles by size - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [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 - [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 ## 5. Algebraic Reasoning & Algebra · Use number sentences involving multiplication and unknowns to represent and solve real-world and mathematical 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. Algebraic Reasoning & Algebra · Describe and create representations of numerical and geometric patterns. - [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 - [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur ## 7. Numbers & Operations · Determine the value of a set of coins and determine the value of a set of bills in monetary transactions. - [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 ## 8. Numbers & Operations · Use and justify fractional representations in real-world and mathematical problems. - [Understanding fractions](https://ai.page/c/understanding-fractions-2/index.md): Move fluently between real-world situations, diagrams, and symbolic equations involving three-digit numbers and fractions, explaining what each part represents - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-maths/index.md): Move fluently between real-world situations, diagrams, number lines, and symbolic equations involving multiplication, fractions, and decimals, explaining what each representation shows - [Modelling with multiplication and fractions](https://ai.page/c/modelling-with-multiplication-and-fractions/index.md): Model real-world problems involving multiplication, area, fractions, and unit conversion by choosing appropriate representations and interpreting mathematical results in context - [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole ## 9. Numbers & Operations · Solve real-world and mathematical problems using addition, subtraction, multiplication, and division. - [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 - [Multiplication and Division Word Problems](https://ai.page/c/multiplication-and-division-word-problems/index.md): Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities - [Multi-Step Multiply & Divide](https://ai.page/c/multi-step-multiply-and-divide/index.md): Solve problems involving multiplication and division, including scaling problems and correspondence problems where n objects are connected to m objects - [Two-step addition and subtraction problems](https://ai.page/c/two-step-addition-and-subtraction-problems/index.md): Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why - [Estimating by rounding](https://ai.page/c/estimating-by-rounding/index.md): Estimate the answer to a calculation and use inverse operations to check answers; apply to increasingly large numbers using rounding and inverse reasoning - [Fluent multiplication and division facts](https://ai.page/c/fluent-multiplication-and-division-facts/index.md): Fluently multiply and divide within 100 using strategies such as the relationship between multiplication and division ## 10. Numbers & Operations · Compare and represent whole numbers up to 100,000 with an emphasis on place value and equality. - [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 - [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 - [Representing Numbers](https://ai.page/c/representing-numbers/index.md): Identify, represent, and estimate numbers using different representations including the number line - [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 - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [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 - [Reading and writing numbers (age 9+)](https://ai.page/c/reading-and-writing-numbers-age-9/index.md): Read, write, order, and compare whole numbers up to at least 1,000,000 using base-ten numerals, number names, expanded form, and place-value understanding ## Health: 0 of 100 Of its 40 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 - Pictograms and tally charts (age 6+) has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Telling time to the minute (age 8+) has no explanation yet - Numbers on a number line has no explanation yet - Measuring length (age 7+) has no explanation yet - Measuring with different units has no explanation yet - Estimating Lengths has no explanation yet - Calculating with measurements has no explanation yet - Understanding Area has no explanation yet - Area (age 8+) has no explanation yet - Counting Unit Cubes has no explanation yet - Area by Tiling has no explanation yet - Measuring Perimeters has no explanation yet - Perimeters of polygons has no explanation yet - Types of angles has no explanation yet - Understanding angles has no explanation yet - Edges, vertices, and faces has no explanation yet - Sorting 2-D and 3-D shapes has no explanation yet - Connecting Representations has no explanation yet - Extending Table Patterns has no explanation yet - Shape patterns has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Understanding fractions has no explanation yet - Fractions on a number line has no explanation yet - Modelling with multiplication and fractions has no explanation yet - Fraction Notation has no explanation yet - Adding numbers has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Multi-Step Multiply & Divide has no explanation yet - Two-step addition and subtraction problems has no explanation yet - Estimating by rounding has no explanation yet - Fluent multiplication and division facts has no explanation yet - Place Value Problem-Solving has no explanation yet - Place Value to 1000 has no explanation yet - Representing Numbers has no explanation yet - Numbers to 10,000 has no explanation yet - Comparing Large Numbers has no explanation yet - 10 or 100 More or Less has no explanation yet - Reading and writing numbers (age 9+) 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.