# 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/mn-grade-4 Part of: [Minnesota: Mathematics](https://ai.page/roadmap/mn.md) Goal: Minnesota academic standards: Mathematics, Grade 4 ## 1. Data Analysis · Collect, organize, display and interpret data, including data collected over a period of time and data represented by fractions and decimals. - [Bar graphs](https://ai.page/c/bar-graphs/index.md): Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs ## 2. Geometry & Measurement · Use translations, reflections and rotations to establish congruency and understand symmetries. - [Translating and reflecting shapes](https://ai.page/c/translating-and-reflecting-shapes/index.md): Draw and translate simple shapes on the coordinate plane; reflect shapes in the axes - [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 ## 3. Geometry & Measurement · Understand angle and area as measurable attributes of real-world and mathematical objects. Use various tools to measure angles and areas. - [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 - [Area (age 8+)](https://ai.page/c/area-age-8/index.md): Measure areas by counting unit squares (square cm, square m, square in, square ft) - [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 - [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 - [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 ## 4. Geometry & Measurement · Name, describe, classify and sketch polygons. - [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 - [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 ## 5. Algebra · Use number sentences involving multiplication, division and unknowns to represent and solve real-world and mathematical problems; create real-world situations corresponding to number sentenc - [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 ## 6. Algebra · Use input-output rules, tables and charts to represent patterns and relationships and to solve real-world and mathematical problems. - [Algebraic Transformations](https://ai.page/c/algebraic-transformations/index.md): Model situations or procedures by translating them into algebraic expressions or formulae and by using graphs; move between word problems, algebraic representations, tables, and graphical representations ## 7. Number & Operation · Represent and compare fractions and decimals in real-world and mathematical situations; use place value to understand how decimals represent quantities. - [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 - [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 >, =, < - [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line-3/index.md): Understand and use place value for decimals, measures, and integers of any size; extend the number system to include all positive and negative integers, decimals, and fractions on a single number line - [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 - [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) - [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 - [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 ## 8. Number & Operation · Demonstrate mastery of multiplication and division basic facts; multiply multi-digit numbers; solve real-world and mathematical problems using arithmetic. - [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 - [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 - [Mental multiplication and division](https://ai.page/c/mental-multiplication-and-division/index.md): Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1, dividing by 1, and multiplying together three numbers - [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 - [Multiplying and dividing (age 10+)](https://ai.page/c/multiplying-and-dividing-age-10/index.md): Multiply and divide numbers by 10, 100, and 1000 giving answers up to three decimal places, understanding that digits shift position in the place-value chart ## 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): - Bar graphs has no explanation yet - Translating and reflecting shapes has no explanation yet - Coordinate Transformations has no explanation yet - Understanding Area has no explanation yet - Area (age 8+) has no explanation yet - Measuring angles has no explanation yet - Types of angles has no explanation yet - Measuring angles (age 9+) has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Classifying shapes by properties has no explanation yet - Writing Algebraic Equations has no explanation yet - Algebraic Transformations has no explanation yet - Decimal place value has no explanation yet - Comparing Decimals has no explanation yet - Fractions on a number line has no explanation yet - Decimal & Percent Notation has no explanation yet - Reading Decimal Places has no explanation yet - Fractions on a number line has no explanation yet - Real-world fraction multiplication has no explanation yet - Adding numbers has no explanation yet - Multi-step problems: choosing operations has no explanation yet - Mental multiplication and division has no explanation yet - Multiplying and dividing has no explanation yet - Multiplying and dividing (age 10+) has no explanation yet Credit: The structure of Minnesota academic standards: Mathematics (http://education.state.mn.us/MDE/EdExc/StanCurri/K-12AcademicStandards/Math/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.