# Grade 4: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 25 concepts ready. In the app: https://ai.page/roadmap/ca-mb-grade-4

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

Goal: Manitoba curriculum: Mathematics, Grade 4

## 1. Statistics and Probability

- [Pictograms and tally charts](https://ai.page/c/pictograms-and-tally-charts/index.md): Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables

## 2. Shape and Space

- [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-D shapes (age 9+)](https://ai.page/c/3-d-shapes-age-9/index.md): Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
- [3-D shapes (age 10+)](https://ai.page/c/3-d-shapes-age-10/index.md): Recognise, describe, and build simple 3-D shapes, including making nets
- [Area of compound shapes](https://ai.page/c/area-of-compound-shapes/index.md): Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas
- [Estimating answers (age 9+)](https://ai.page/c/estimating-answers-age-9/index.md): Apply the area formula (l × w) and perimeter formula (2l + 2w) for rectangles including squares in real-world and mathematical problems; calculate and compare areas using standard units (cm², m²) and estimate areas of irregular shapes
- [Understanding Area](https://ai.page/c/understanding-area/index.md): Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps
- [12-hour and 24-hour time](https://ai.page/c/12-hour-and-24-hour-time/index.md): Read, write, and convert time between analogue and digital 12-hour and 24-hour clocks

## 3. Patterns and Relations

- [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
- [Writing Algebraic Equations](https://ai.page/c/writing-algebraic-equations/index.md): Express missing number problems algebraically using letters for unknowns; translate word problems into equations
- [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
- [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations

## 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
- [Tenths (age 8+)](https://ai.page/c/tenths-age-8/index.md): Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 or dividing tenths by 10
- [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)
- [Fraction Notation](https://ai.page/c/fraction-notation/index.md): Read, write, and use fraction notation correctly — fraction, numerator, denominator, unit fraction, non-unit fraction, proper fraction, improper fraction, mixed number, equivalent fraction, simplest form — and understand what each term describes, including the roles of the numerator and denominator in expressing parts of a whole
- [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
- [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
- [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
- [Written Multiplication](https://ai.page/c/written-multiplication/index.md): Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
- [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
- [Properties of Operations](https://ai.page/c/properties-of-operations/index.md): Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
- [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations
- [Comparing Large Numbers](https://ai.page/c/comparing-large-numbers/index.md): Order and compare numbers beyond 1000

## Health: 0 of 100

Of its 25 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):

- Pictograms and tally charts has no explanation yet
- 2-D shapes (age 8+) has no explanation yet
- 3-D shapes (age 9+) has no explanation yet
- 3-D shapes (age 10+) has no explanation yet
- Area of compound shapes has no explanation yet
- Estimating answers (age 9+) has no explanation yet
- Understanding Area has no explanation yet
- 12-hour and 24-hour time has no explanation yet
- Two-Step Equations has no explanation yet
- Writing Algebraic Equations has no explanation yet
- Number Pattern Relationships has no explanation yet
- Patterns in Times Tables comes before Properties of Operations, which it needs
- Patterns in Times Tables has no explanation yet
- Adding and subtracting (age 10+) has no explanation yet
- Tenths (age 8+) has no explanation yet
- Decimal equivalents of tenths and hundredths has no explanation yet
- Decimals for Tenths & Hundredths has no explanation yet
- Fraction Notation has no explanation yet
- Dividing fractions (unit fractions) has no explanation yet
- Fractions of a whole has no explanation yet
- Division with Decimals has no explanation yet
- Written Multiplication has no explanation yet
- Mental multiplication and division (age 9+) has no explanation yet
- Properties of Operations has no explanation yet
- Numbers to 10,000 has no explanation yet
- Comparing Large Numbers 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.
