# Grade 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 27 concepts ready. In the app: https://ai.page/roadmap/ga-grade-5 Part of: [Georgia: Mathematics](https://ai.page/roadmap/ga.md) Goal: Georgia academic standards: Mathematics, Grade 5 ## 1. Geometric & Spatial Reasoning · Examine properties of polygons and rectangular prisms, classify polygons by their properties, and discover volume of right rectangular prisms. - [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) - [Volume as additive](https://ai.page/c/volume-as-additive/index.md): Recognise volume as additive; find volumes of composite solid figures made of two or more non-overlapping right rectangular prisms - [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 ## 2. Measurement & Data Reasoning · Solve problems involving customary measurements, metric measurements, and time and analyze graphical displays of data to answer relevant questions. - [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 - [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 ## 3. Patterning & Algebraic Reasoning · Solve relevant problems by creating and analyzing numerical patterns using the given rule(s). - [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 - [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 ## 4. Numerical Reasoning · Write, interpret, and evaluate numerical expressions within authentic problems. - [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 ## 5. Numerical Reasoning · Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical p - [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 - [Decimal place value](https://ai.page/c/decimal-place-value-3/index.md): Round decimals to any place using place-value understanding; round any whole number to a required degree of accuracy - [Rounding Answers](https://ai.page/c/rounding-answers/index.md): Solve problems which require answers to be rounded to specified degrees of accuracy - [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) ## 6. Numerical Reasoning · Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models. - [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 - [Multiplication as scaling](https://ai.page/c/multiplication-as-scaling/index.md): Interpret multiplication as scaling (resizing): compare the size of a product to a factor based on the size of the other factor without computing; explain the effect of multiplying by fractions greater than, equal to, or less than 1 - [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 - [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 - [Understanding fractions (age 9+)](https://ai.page/c/understanding-fractions-age-9-maths/index.md): Construct and present logical mathematical arguments involving multiple steps; critique others' reasoning about fractions, angles, or calculations and clearly explain errors or alternative methods ## 7. Numerical Reasoning · Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems. - [Dividing by two-digit numbers](https://ai.page/c/dividing-by-two-digit-numbers/index.md): Divide numbers up to 4 digits by a two-digit number using formal written short division where appropriate, interpreting remainders according to context - [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 - [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 - [Long multiplication (age 10+)](https://ai.page/c/long-multiplication-age-10/index.md): Fluently multiply multi-digit whole numbers (up to 4 digits by 2 digits) using the formal written method of long multiplication ## 8. Numerical Reasoning · Use place value understanding to solve real-life, mathematical problems. - [Place Value × 10 Pattern](https://ai.page/c/place-value-10-pattern/index.md): Recognise that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right (e.g. 700 ÷ 70 = 10) - [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 - [Patterns with Powers of Ten](https://ai.page/c/patterns-with-powers-of-ten/index.md): Explain patterns in zeros when multiplying by powers of 10 and in decimal-point placement when multiplying/dividing by a power of 10; use whole-number exponents to denote powers of 10 (e.g. 10³ = 1000) - [Decimal place value](https://ai.page/c/decimal-place-value-2/index.md): Multiply one-digit numbers with up to two decimal places by whole numbers (e.g. 3.47 × 6) ## 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 - [Constructing mathematical arguments](https://ai.page/c/constructing-mathematical-arguments/index.md): Construct and present logical mathematical arguments involving multiple steps and formal reasoning; critique others' reasoning about fractions, algebra, ratio, or geometry and clearly explain errors or alternative approaches ## Health: 0 of 100 Of its 27 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): - Estimating answers (age 10+) has no explanation yet - Volume as additive has no explanation yet - Classifying shapes by properties has no explanation yet - Measurement Conversions has no explanation yet - Real-World Mathematical Modelling has no explanation yet - Plotting points in the first quadrant has no explanation yet - Number Pattern Relationships has no explanation yet - Brackets in Expressions has no explanation yet - Comparing Decimals has no explanation yet - Reading and writing numbers (age 10+) has no explanation yet - Decimal place value has no explanation yet - Rounding Answers comes before Division with Decimals, which it needs - Rounding Answers has no explanation yet - Reading Decimal Places has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Multiplication as scaling has no explanation yet - Real-world fraction multiplication has no explanation yet - Fraction Addition Concepts has no explanation yet - Understanding fractions (age 9+) has no explanation yet - Dividing by two-digit numbers has no explanation yet - Division with remainders (age 10+) has no explanation yet - Division with Decimals has no explanation yet - Long multiplication (age 10+) has no explanation yet - Place Value × 10 Pattern has no explanation yet - Place Value × 10 and ÷ 10 has no explanation yet - Patterns with Powers of Ten has no explanation yet - Decimal place value has no explanation yet - Constructing mathematical arguments 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.