# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 36 concepts ready. In the app: https://ai.page/roadmap/fl-grade-3 Part of: [Florida: Mathematics](https://ai.page/roadmap/fl.md) Goal: Florida academic standards: Mathematics, Grade 3 ## 1. Data Analysis and Probability - [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 - [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 ## 2. Geometric Reasoning - [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) - [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 - [2-D shapes (age 8+)](https://ai.page/c/2-d-shapes-age-8/index.md): Identify lines of symmetry in 2-D shapes presented in different orientations; recognise line-symmetric figures and draw lines of symmetry - [Properties of triangles and quadrilaterals](https://ai.page/c/properties-of-triangles-and-quadrilaterals/index.md): Derive and illustrate properties of triangles, quadrilaterals, and circles using appropriate language, including interior angles, diagonals, symmetry, and relationships between side lengths - [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 ## 3. Fractions - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Simple Fraction Sums](https://ai.page/c/simple-fraction-sums/index.md): Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7) - [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 - [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way - [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b ## 4. Measurement - [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 - [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 - [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 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 ## 5. Algebraic Reasoning - [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 - [Odd or Even](https://ai.page/c/odd-or-even/index.md): Determine whether a group of objects (up to 20) has an odd or even number of members - [Division as Unknown Factor](https://ai.page/c/division-as-unknown-factor/index.md): Understand division as an unknown-factor problem (e.g. find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8) - [Unknown in Multiplication & Division](https://ai.page/c/unknown-in-multiplication-and-division/index.md): Determine the unknown whole number in a multiplication or division equation relating three whole numbers (e.g. 8 × ? = 48, ? × 6 = 42) - [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 - [Multi-Step Problem Solving](https://ai.page/c/multi-step-problem-solving-maths/index.md): Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress - [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 ## 6. Number Sense and Operations - [Multiplying and dividing](https://ai.page/c/multiplying-and-dividing/index.md): Multiply and divide whole numbers and those involving decimals by 10, 100, and 1000 - [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 - [Fluent adding and subtracting within 1000](https://ai.page/c/fluent-adding-and-subtracting-within-1000/index.md): Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and the relationship between addition and subtraction - [Place value of each digit](https://ai.page/c/place-value-of-each-digit/index.md): Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones) - [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 ## Health: 0 of 100 Of its 36 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 (age 6+) has no explanation yet - Pictograms and tally charts has no explanation yet - Perimeters of polygons has no explanation yet - Area by Tiling has no explanation yet - Understanding Area has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Properties of triangles and quadrilaterals has no explanation yet - Lines, Rays & Angles has no explanation yet - Equivalent fractions has no explanation yet - Comparing fractions has no explanation yet - Simple Fraction Sums has no explanation yet - Unit fractions has no explanation yet - Fraction Addition Concepts has no explanation yet - Fractions of a whole has no explanation yet - Comparing Time Durations 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 - Calculating with measurements has no explanation yet - Measuring length (age 7+) has no explanation yet - Measuring with different units has no explanation yet - Extending Table Patterns has no explanation yet - Odd or Even has no explanation yet - Division as Unknown Factor has no explanation yet - Unknown in Multiplication & Division has no explanation yet - Justifying mathematical reasoning has no explanation yet - Multi-Step Problem Solving has no explanation yet - Properties of Operations has no explanation yet - Multiplying and dividing has no explanation yet - Multiplying by Tens has no explanation yet - Fluent adding and subtracting within 1000 has no explanation yet - Place value of each digit 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 Credit: The structure of Florida academic standards: Mathematics (https://cpalmsmediaprod.blob.core.windows.net/downloads/reports/Mathematics(B.E.S.T.)_StandardsReportWithoutAccessPoints.doc); 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.