# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 30 concepts ready. In the app: https://ai.page/roadmap/ga-grade-3 Part of: [Georgia: Mathematics](https://ai.page/roadmap/ga.md) Goal: Georgia academic standards: Mathematics, Grade 3 ## 1. Geometric & Spatial Reasoning · Determine the perimeter of a polygon presented in real-life, mathematical problems. - [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) ## 2. Geometric & Spatial Reasoning · Identify area as a measurable attribute of rectangles and determine the area of a rectangle presented in real-life, mathematical problems. - [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 - [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 ## 3. Geometric & Spatial Reasoning · Identify the attributes of polygons, including parallel segments, perpendicular segments, right angles, and symmetry. - [Parallel and perpendicular lines](https://ai.page/c/parallel-and-perpendicular-lines/index.md): Identify horizontal and vertical lines and pairs of perpendicular and parallel lines - [Lines, Rays & Angles](https://ai.page/c/lines-rays-and-angles/index.md): Draw and identify points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines; identify these in two-dimensional figures - [Classifying shapes by line properties](https://ai.page/c/classifying-shapes-by-line-properties/index.md): Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or angles of a specified size; recognise right triangles as a category ## 4. Measurement & Data Reasoning · Solve real-life, mathematical problems involving length, liquid volume, mass, and time and analyze graphical displays of data to answer relevant questions. - [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 Liquids & Masses](https://ai.page/c/measuring-liquids-and-masses/index.md): Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume - [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 8+)](https://ai.page/c/halves-and-quarters-age-8/index.md): Generate measurement data by measuring lengths to the nearest half and quarter inch; display the data on a line plot with a scale marked in whole numbers, halves, and quarters - [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours - [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks - [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 ## 5. Patterning & Algebraic Reasoning · Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100. - [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 - [Multiplying by Tens](https://ai.page/c/multiplying-by-tens/index.md): Multiply one-digit whole numbers by multiples of 10 in the range 10–90 using strategies based on place value and properties of operations - [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 - [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. Patterning & Algebraic Reasoning · Use part-whole strategies to represent and solve real-life problems involving addition and subtraction with whole numbers up to 10,000. - [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 - [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 ## 7. Numerical Reasoning · Represent fractions with denominators of 2, 3, 4, 6 and 8 in multiple ways within a framework using visual models. - [Multiplying fractions](https://ai.page/c/multiplying-fractions/index.md): Understand a/b as a multiple of 1/b; multiply proper fractions and mixed numbers by whole numbers, supported by visual models (e.g. 3 × 2/5 = 6/5 = 1 1/5) - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [Dividing fractions (unit fractions)](https://ai.page/c/dividing-fractions-unit-fractions/index.md): Interpret and compute division of a unit fraction by a non-zero whole number (e.g. 1/3 ÷ 4 = 1/12); use visual models and the relationship between multiplication and division to explain the result - [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 ## 8. Numerical Reasoning - [Rounding to 10, 100, 1000](https://ai.page/c/rounding-to-10-100-1000/index.md): Round any number to the nearest 10, 100, or 1000 - [Rounding Large Numbers](https://ai.page/c/rounding-large-numbers/index.md): Round any whole number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000, or 100,000 using place-value understanding - [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000 - [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 - [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 ## 9. 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 - [Mathematical Precision](https://ai.page/c/mathematical-precision/index.md): Communicate with mathematical precision: use correct fraction/decimal vocabulary, name angle types accurately, specify units in measurement and money, and use notation (=, <, >, ÷, ×) correctly ## Health: 0 of 100 Of its 30 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): - Perimeters of polygons has no explanation yet - Area by Tiling has no explanation yet - Understanding Area has no explanation yet - Parallel and perpendicular lines has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Calculating with measurements has no explanation yet - Measuring Liquids & Masses has no explanation yet - Measuring & Plotting Lengths has no explanation yet - Halves and quarters (age 8+) has no explanation yet - Estimating answers (age 7+) has no explanation yet - Comparing Time Durations has no explanation yet - Working with money has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Multiplying by Tens has no explanation yet - Properties of Operations has no explanation yet - Extending Table Patterns has no explanation yet - Addition and subtraction strategies (age 7+) has no explanation yet - Addition and subtraction within 1000 has no explanation yet - Multiplying fractions has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Fractions on a number line has no explanation yet - Rounding to 10, 100, 1000 has no explanation yet - Rounding Large Numbers has no explanation yet - Comparing Large Numbers has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - Reading and writing numbers (age 9+) has no explanation yet - Justifying mathematical reasoning has no explanation yet - Mathematical Precision 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.