# Grade 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 29 concepts ready. In the app: https://ai.page/roadmap/tx-grade-5 Part of: [Texas TEKS: Mathematics](https://ai.page/roadmap/tx.md) Goal: Texas Essential Knowledge and Skills: Mathematics, Grade 5 ## 1. Data analysis - [Statistical Analysis Vocabulary](https://ai.page/c/statistical-analysis-vocabulary/index.md): Read, write, and use the vocabulary of statistical analysis — mean, median, mode, range, frequency, data, sample, average, chart, table, graph, pie chart, scatter graph, correlation — with understanding of what each term describes - [Pictograms and tally charts (age 11+)](https://ai.page/c/pictograms-and-tally-charts-age-11/index.md): Construct and interpret frequency tables, bar charts, pie charts, pictograms, and vertical line charts for both categorical and grouped numerical data, choosing appropriate representations for the data type ## 2. Geometry and measurement - [Numbers on a number line](https://ai.page/c/numbers-on-a-number-line-2/index.md): Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique point where the first number gives horizontal distance and the second gives vertical distance from the origin - [Plotting points in the first quadrant](https://ai.page/c/plotting-points-in-the-first-quadrant/index.md): Plot and read ordered pairs in the first quadrant of the coordinate plane; represent real-world and mathematical problems by graphing points and interpreting coordinate values in context - [Measurement Conversions](https://ai.page/c/measurement-conversions/index.md): Solve problems involving the calculation and conversion of units of measure, using decimal notation and multi-step reasoning in real-world contexts - [Estimating answers (age 10+)](https://ai.page/c/estimating-answers-age-10/index.md): Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³) - [Measuring length (age 10+)](https://ai.page/c/measuring-length-age-10/index.md): Recognise volume as an attribute of solid figures; understand that a unit cube (side length 1 unit) has 'one cubic unit' of volume and can be used to measure volume; a solid packed with n unit cubes has volume n cubic units - [Classifying shapes by properties](https://ai.page/c/classifying-shapes-by-properties/index.md): Compare and classify geometric shapes based on their properties and sizes; understand that attributes belonging to a category also belong to all subcategories; classify two-dimensional figures in a hierarchy based on properties ## 3. Algebraic reasoning - [Real-World Mathematical Modelling](https://ai.page/c/real-world-mathematical-modelling/index.md): Model real-world problems involving ratio, scale, volume, unit conversion, and proportional reasoning with appropriate tools, diagrams, or equations - [Brackets in Expressions](https://ai.page/c/brackets-in-expressions/index.md): Use parentheses, brackets, or braces in numerical expressions and evaluate expressions containing these grouping symbols - [Number Pattern Relationships](https://ai.page/c/number-pattern-relationships/index.md): Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane - [Two-Step Equations](https://ai.page/c/two-step-equations/index.md): Solve two-step word problems using the four operations; represent problems using equations with a letter standing for the unknown quantity - [Prime numbers](https://ai.page/c/prime-numbers/index.md): Know and use the vocabulary of prime numbers, prime factors, and composite numbers; establish whether a number up to 100 is prime; recall prime numbers up to 19 ## 4. Number and operations - [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 - [Dividing unit fractions and whole numbers](https://ai.page/c/dividing-unit-fractions-and-whole-numbers/index.md): Solve real-world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions, using visual models and equations - [Fluent addition and subtraction (age 9+)](https://ai.page/c/fluent-addition-and-subtraction-age-9/index.md): Fluently add and subtract whole numbers with more than four digits using the standard columnar algorithm - [Real-world fraction multiplication](https://ai.page/c/real-world-fraction-multiplication/index.md): Solve real-world problems involving multiplication of fractions and mixed numbers, using visual fraction models or equations - [Adding Fractions (Unlike Denominators)](https://ai.page/c/adding-fractions-unlike-denominators/index.md): Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions to produce a common denominator - [Division with Decimals](https://ai.page/c/division-with-decimals/index.md): Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [Real-World Maths Modelling](https://ai.page/c/real-world-maths-modelling/index.md): Model real-world problems involving scaling, unit conversion, area/perimeter, and percentage by selecting appropriate mathematical representations and interpreting results in context - [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 - [Estimation to check answers to calculations](https://ai.page/c/estimation-to-check-answers-to-calculations/index.md): Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy - [Multi-step problems: choosing operations](https://ai.page/c/multi-step-problems-choosing-operations/index.md): Solve problems involving addition, subtraction, multiplication, and division, deciding which operations and methods to use and why; solve multi-step problems in contexts - [Decimals for Tenths & Hundredths](https://ai.page/c/decimals-for-tenths-and-hundredths/index.md): Use decimal notation for fractions with denominators 10 or 100; read and write decimal numbers as fractions (e.g. 0.62 = 62/100, 0.71 = 71/100) - [Comparing Decimals](https://ai.page/c/comparing-decimals/index.md): Compare two decimals to hundredths (or up to three decimal places) by reasoning about size using place-value understanding; record with >, =, < - [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 ## 5. Mathematical process standards - [Precise Maths Vocabulary](https://ai.page/c/precise-maths-vocabulary/index.md): Communicate with mathematical precision: use correct vocabulary for primes, factors, multiples, angle types, and polygon regularity; specify units including cm², m³, °; use notation for squares/cubes and percentages accurately - [Choosing Maths Tools](https://ai.page/c/choosing-maths-tools/index.md): Select and use tools and representations strategically: choose between mental methods, formal written methods, algebraic approaches, coordinate grids, and technology based on the demands of the problem ## Health: 0 of 100 Of its 29 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): - Statistical Analysis Vocabulary has no explanation yet - Pictograms and tally charts (age 11+) has no explanation yet - Numbers on a number line has no explanation yet - Plotting points in the first quadrant has no explanation yet - Measurement Conversions has no explanation yet - Estimating answers (age 10+) has no explanation yet - Measuring length (age 10+) has no explanation yet - Classifying shapes by properties has no explanation yet - Real-World Mathematical Modelling comes before Real-World Maths Modelling, which it needs - Real-World Mathematical Modelling has no explanation yet - Brackets in Expressions has no explanation yet - Number Pattern Relationships has no explanation yet - Two-Step Equations has no explanation yet - Prime numbers has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Dividing unit fractions and whole numbers has no explanation yet - Fluent addition and subtraction (age 9+) has no explanation yet - Real-world fraction multiplication has no explanation yet - Adding Fractions (Unlike Denominators) has no explanation yet - Division with Decimals has no explanation yet - Fractions on a number line has no explanation yet - Real-World Maths Modelling has no explanation yet - Fluent adding and subtracting within 1000 has no explanation yet - Estimation to check answers to calculations has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Comparing Decimals has no explanation yet - Place Value Problem-Solving has no explanation yet - Precise Maths Vocabulary has no explanation yet - Choosing Maths Tools 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.