# Grade 5: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 23 concepts ready. In the app: https://ai.page/roadmap/or-grade-5 Part of: [Oregon: Mathematics](https://ai.page/roadmap/or.md) Goal: Oregon academic standards: Mathematics, Grade 5 ## 1. Grade 5 · Analyze, represent, and interpret data. - [Line graphs (age 10+)](https://ai.page/c/line-graphs-age-10/index.md): Interpret and construct pie charts and line graphs; use these to solve problems ## 2. Grade 5 · Pose investigative questions and collect/consider data. - [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) ## 3. Grade 5 · Geometric measurement: understand concepts of volume. - [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 - [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 ## 4. Grade 5 · Convert like measurement units within a given measurement system. - [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 ## 5. Grade 5 · Classify two-dimensional figures into categories based on their properties. - [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 ## 6. Grade 5 · Graph points on the coordinate plane to solve real-world and mathematical problems. - [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 ## 7. Grade 5 · Apply and extend previous understandings of multiplication and division. - [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) - [Fractions of a whole (age 10+)](https://ai.page/c/fractions-of-a-whole-age-10/index.md): Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b); solve word problems involving division of whole numbers leading to fractional or mixed-number answers - [Multiplying fractions (age 10+)](https://ai.page/c/multiplying-fractions-age-10/index.md): Multiply a fraction or whole number by a fraction, including proper fractions by proper fractions; interpret (a/b) × q as a parts of q partitioned into b equal parts; write answers in simplest form - [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 ## 8. Grade 5 · Use equivalent fractions as a strategy to add and subtract fractions. - [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 ## 9. Grade 5 · Perform operations with multi-digit whole numbers and with decimals to hundredths. - [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 ## 10. Grade 5 · Understand the place value system. - [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 - [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) ## 11. Grade 5 · Analyze patterns and relationships. - [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 ## 12. Grade 5 · Write and interpret numerical expressions. - [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 - [Writing Number Sentences](https://ai.page/c/writing-number-sentences/index.md): Write simple numerical expressions that record calculations with numbers, and interpret numerical expressions without evaluating them (e.g. recognise that 3 × (18932 + 921) is three times as large as 18932 + 921) ## Health: 0 of 100 Of its 23 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): - Line graphs (age 10+) has no explanation yet - Understanding fractions comes before Adding Fractions (Unlike Denominators), which it needs - Understanding fractions has no explanation yet - Estimating answers (age 10+) has no explanation yet - Volume as additive has no explanation yet - Measuring length (age 10+) has no explanation yet - Measurement Conversions has no explanation yet - Classifying shapes by properties has no explanation yet - Plotting points in the first quadrant has no explanation yet - Multiplying fractions has no explanation yet - Fractions of a whole (age 10+) has no explanation yet - Multiplying fractions (age 10+) has no explanation yet - Dividing fractions (unit fractions) has no explanation yet - Multiplication as scaling has no explanation yet - Adding Fractions (Unlike Denominators) has no explanation yet - Division with Decimals has no explanation yet - Reading and writing numbers (age 10+) has no explanation yet - Decimal place value 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 - Number Pattern Relationships has no explanation yet - Brackets in Expressions has no explanation yet - Writing Number Sentences has no explanation yet Credit: The structure of Oregon academic standards: Mathematics (https://www.oregon.gov/ode/educator-resources/standards/mathematics/Pages/MathStandards.aspx); 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.