# Grade 4: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 42 concepts ready. In the app: https://ai.page/roadmap/tx-grade-4 Part of: [Texas TEKS: Mathematics](https://ai.page/roadmap/tx.md) Goal: Texas Essential Knowledge and Skills: Mathematics, Grade 4 ## 1. Data analysis - [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 - [Understanding fractions](https://ai.page/c/understanding-fractions/index.md): Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in line plots (e.g. redistribute total equally) ## 2. Geometry and measurement - [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 - [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 - [Degrees and turns](https://ai.page/c/degrees-and-turns/index.md): Know that angles are measured in degrees, where one degree is 1/360 of a full turn; understand that an angle turning through n one-degree angles has a measure of n degrees - [Measuring angles](https://ai.page/c/measuring-angles/index.md): Measure angles in whole-number degrees using a protractor; draw given angles and sketch angles of specified measure - [Measuring angles (age 9+)](https://ai.page/c/measuring-angles-age-9/index.md): Recognise angle measure as additive; find unknown angles by adding or subtracting on a diagram using equations with a symbol for the unknown - [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 - [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 - [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 ## 3. Algebraic reasoning - [Using Simple Formulae](https://ai.page/c/using-simple-formulae/index.md): Use simple formulae expressed in words or symbols to calculate values (e.g. perimeter = 2 × (length + width)) - [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 ## 4. Number and operations - [Division with remainders (age 10+)](https://ai.page/c/division-with-remainders-age-10/index.md): Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as appropriate - [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 - [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 - [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 - [Dividing by Fractions](https://ai.page/c/dividing-by-fractions/index.md): Interpret and compute division of a whole number by a unit fraction (e.g. 4 ÷ 1/5 = 20); use visual models and the relationship between multiplication and division to explain why the quotient is larger than the dividend - [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 - [Long multiplication](https://ai.page/c/long-multiplication/index.md): Multiply a whole number of up to four digits by a one-digit number, and multiply two two-digit numbers, using formal written methods including long multiplication; illustrate with area models - [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 - [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 >, =, < - [Reading and writing numbers (age 10+)](https://ai.page/c/reading-and-writing-numbers-age-10/index.md): Read, write, and compare decimals to thousandths using base-ten numerals, number names, and expanded form; compare using >, =, < based on place-value meaning - [Addition and subtraction strategies (age 10+)](https://ai.page/c/addition-and-subtraction-strategies-age-10/index.md): Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and the relationship between addition and subtraction; relate strategies to written methods and explain reasoning - [Decimal equivalents of tenths and hundredths](https://ai.page/c/decimal-equivalents-of-tenths-and-hundredths/index.md): Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27) - [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) - [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 - [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 - [Comparing fractions (age 9+)](https://ai.page/c/comparing-fractions-age-9/index.md): Compare and order fractions with different numerators and denominators by creating common denominators/numerators or comparing to a benchmark such as 1/2; justify conclusions with visual models - [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 - [Equivalent fractions on a number line](https://ai.page/c/equivalent-fractions-on-a-number-line/index.md): Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams - [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 - [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 - [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 - [Place Value × 10 and ÷ 10](https://ai.page/c/place-value-10-and-10/index.md): Recognise that in a multi-digit number, a digit in one place represents 10 times as much as in the place to its right and 1/10 of what it represents in the place to its left - [Reading Decimal Places](https://ai.page/c/reading-decimal-places/index.md): Identify the value of each digit in numbers given to three decimal places (e.g. in 4.378, the 7 represents 7 hundredths) ## 5. Mathematical process standards - [Precise Maths Communication](https://ai.page/c/precise-maths-communication/index.md): Communicate with mathematical precision: use correct vocabulary, specify units, and use symbols accurately - [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 - [Choosing mathematical tools](https://ai.page/c/choosing-mathematical-tools/index.md): Select and use appropriate tools and representations strategically: choose between mental, written, and diagrammatic methods; use calculators for checking; select fraction models suited to the task ## Health: 0 of 100 Of its 42 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): - Multi-Step Problem Solving has no explanation yet - Understanding fractions has no explanation yet - Calculating with measurements has no explanation yet - Measuring with different units has no explanation yet - Measurement Conversions has no explanation yet - Degrees and turns has no explanation yet - Measuring angles has no explanation yet - Measuring angles (age 9+) has no explanation yet - Types of angles has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Using Simple Formulae has no explanation yet - Number Pattern Relationships has no explanation yet - Two-Step Equations has no explanation yet - Division with remainders (age 10+) has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Rounding to 10, 100, 1000 has no explanation yet - Estimating by rounding has no explanation yet - Dividing by Fractions has no explanation yet - Adding numbers has no explanation yet - Long multiplication has no explanation yet - 10 or 100 More or Less has no explanation yet - Comparing Decimals has no explanation yet - Reading and writing numbers (age 10+) has no explanation yet - Addition and subtraction strategies (age 10+) has no explanation yet - Decimal equivalents of tenths and hundredths has no explanation yet - Decimals for Tenths & Hundredths has no explanation yet - Fractions of a whole has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Comparing fractions (age 9+) has no explanation yet - Fractions on a number line has no explanation yet - Equivalent fractions on a number line has no explanation yet - Fraction Addition Concepts has no explanation yet - Rounding Large Numbers has no explanation yet - Comparing Large Numbers has no explanation yet - Multiplying and dividing has no explanation yet - Place Value × 10 and ÷ 10 has no explanation yet - Reading Decimal Places has no explanation yet - Precise Maths Communication has no explanation yet - Real-World Mathematical Modelling has no explanation yet - Choosing mathematical 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.