# 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/ca-mb-grade-5

Part of: [Manitoba: Mathematics](https://ai.page/roadmap/ca-mb.md)

Goal: Manitoba curriculum: Mathematics, Grade 5

## 1. Statistics and Probability

- [Likelihood Language](https://ai.page/c/likelihood-language/index.md): Use probability language to describe and compare the likelihood of everyday events using words such as certain, likely, even chance, unlikely, impossible
- [Ordering Likelihoods](https://ai.page/c/ordering-likelihoods/index.md): Compare the likelihood of different events and order them from least to most likely — including situations with unequal outcomes such as a bag with more of one colour than another, or a spinner with sections of different sizes — and explain reasoning using informal language
- [Reading and Comparing Bar Graphs](https://ai.page/c/reading-and-comparing-bar-graphs/index.md): Solve comparison, sum, and difference problems using information presented in a bar graph

## 2. Shape and Space

- [Coordinate Transformations](https://ai.page/c/coordinate-transformations/index.md): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original
- [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
- [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
- [3-D shapes (age 11+)](https://ai.page/c/3-d-shapes-age-11/index.md): Use the properties of faces, surfaces, edges, and vertices of 3-D shapes (cubes, cuboids, prisms, cylinders, pyramids, cones, and spheres) to solve problems, including visualising cross-sections
- [Estimating volume](https://ai.page/c/estimating-volume/index.md): Estimate volume of cuboids using 1 cm³ blocks; estimate capacity of containers using water
- [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
- [Perimeter (age 10+)](https://ai.page/c/perimeter-age-10/index.md): Recognise that shapes with the same area can have different perimeters and vice versa; explore this relationship systematically

## 3. Patterns and Relations

- [Solving Linear Equations](https://ai.page/c/solving-linear-equations/index.md): Use algebraic methods to solve linear equations in one variable, including equations that require rearrangement, expanding brackets, and collecting terms on both sides; solve equations with rational number coefficients
- [Shape patterns](https://ai.page/c/shape-patterns-maths/index.md): Generate a number or shape pattern that follows a given rule; identify apparent features of the pattern not explicit in the rule and explain informally why they occur

## 4. Number

- [Adding and subtracting (age 10+)](https://ai.page/c/adding-and-subtracting-age-10/index.md): Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why, with numbers up to 10,000,000 and decimals
- [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 >, =, <
- [Decimal & Percent Notation](https://ai.page/c/decimal-and-percent-notation/index.md): Read, write, and use decimal and percentage notation correctly — decimal, decimal point, tenths, hundredths, thousandths, percentage, per cent, % symbol, convert, terminating decimal — and understand the relationships between fractions, decimals, and percentages as three ways of expressing the same value
- [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)
- [Tenths (age 9+)](https://ai.page/c/tenths-age-9/index.md): Recognise and use thousandths; relate them to tenths, hundredths, and their decimal equivalents (e.g. 1/1000 = 0.001, 35/1000 = 0.035)
- [Decimals and fractions (age 10+)](https://ai.page/c/decimals-and-fractions-age-10/index.md): Associate a fraction with division and calculate decimal fraction equivalents for simple fractions (e.g. 3/8 = 0.375); recall and use equivalences between simple fractions, decimals, and percentages in different contexts
- [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
- [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 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
- [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
- [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
- [Mental multiplication and division (age 9+)](https://ai.page/c/mental-multiplication-and-division-age-9/index.md): Multiply and divide numbers mentally drawing upon known facts, including related facts and place-value adjustments
- [Estimating by rounding](https://ai.page/c/estimating-by-rounding-maths/index.md): Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values
- [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 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):

- Likelihood Language has no explanation yet
- Ordering Likelihoods has no explanation yet
- Reading and Comparing Bar Graphs has no explanation yet
- Coordinate Transformations has no explanation yet
- Classifying shapes by properties has no explanation yet
- Properties of triangles and quadrilaterals has no explanation yet
- 3-D shapes (age 11+) has no explanation yet
- Estimating volume has no explanation yet
- Estimating answers (age 10+) has no explanation yet
- Measuring length (age 10+) has no explanation yet
- Perimeter (age 10+) has no explanation yet
- Solving Linear Equations has no explanation yet
- Shape patterns has no explanation yet
- Adding and subtracting (age 10+) has no explanation yet
- Comparing Decimals has no explanation yet
- Decimal & Percent Notation has no explanation yet
- Decimals for Tenths & Hundredths has no explanation yet
- Tenths (age 9+) has no explanation yet
- Decimals and fractions (age 10+) has no explanation yet
- Dividing fractions (unit fractions) has no explanation yet
- Adding Fractions (Unlike Denominators) has no explanation yet
- Division with remainders (age 10+) has no explanation yet
- Dividing by two-digit numbers has no explanation yet
- Long multiplication has no explanation yet
- Mental multiplication and division (age 9+) has no explanation yet
- Estimating by rounding has no explanation yet
- Reading and writing numbers (age 9+) has no explanation yet

Credit: The structure of Manitoba curriculum: Mathematics (https://www.edu.gov.mb.ca/k12/cur/math/framework_9-12/gr9.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.