# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 30 concepts ready. In the app: https://ai.page/roadmap/nd-grade-3 Part of: [North Dakota: Mathematics](https://ai.page/roadmap/nd.md) Goal: North Dakota academic standards: Mathematics, Grade 3 ## 1. Third Grade - [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 - [Halves and quarters (age 8+)](https://ai.page/c/halves-and-quarters-age-8/index.md): Generate measurement data by measuring lengths to the nearest half and quarter inch; display the data on a line plot with a scale marked in whole numbers, halves, and quarters - [Representing numbers with objects (age 8+)](https://ai.page/c/representing-numbers-with-objects-age-8/index.md): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables - [Area by Tiling](https://ai.page/c/area-by-tiling/index.md): Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths - [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 - [Perimeters of polygons](https://ai.page/c/perimeters-of-polygons/index.md): Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa) - [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately - [Telling time to the minute (age 8+)](https://ai.page/c/telling-time-to-the-minute-age-8/index.md): Tell and write time to the nearest minute using analogue and digital clocks - [Measuring Liquids & Masses](https://ai.page/c/measuring-liquids-and-masses/index.md): Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume - [Measuring length (age 7+)](https://ai.page/c/measuring-length-age-7/index.md): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes - [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 - [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 - [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 - [Multiplication and Division Word Problems](https://ai.page/c/multiplication-and-division-word-problems/index.md): Use multiplication and division within 100 to solve word problems involving equal groups, arrays, and measurement quantities - [Two-Step Word Problems](https://ai.page/c/two-step-word-problems/index.md): Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions - [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 - [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 - [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 - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [Fractions of a whole (age 8+)](https://ai.page/c/fractions-of-a-whole-age-8/index.md): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6) - [Equivalent fractions (age 9+)](https://ai.page/c/equivalent-fractions-age-9/index.md): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths - [Fractions on a number line (age 8+)](https://ai.page/c/fractions-on-a-number-line-age-8/index.md): Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b - [Fractions as parts of shapes](https://ai.page/c/fractions-as-parts-of-shapes/index.md): Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole - [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 - [Addition and subtraction within 1000](https://ai.page/c/addition-and-subtraction-within-1000/index.md): Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds - [Decimal place value (age 9+)](https://ai.page/c/decimal-place-value-age-9/index.md): Round decimals with two decimal places to the nearest whole number and to one decimal place - [Ordering Numbers to 1000](https://ai.page/c/ordering-numbers-to-1000/index.md): Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding - [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 - [Reading and writing numbers to 1000](https://ai.page/c/reading-and-writing-numbers-to-1000/index.md): Read and write numbers to 1000 in numerals, number names, and expanded form ## Health: 0 of 100 Of its 30 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 - Halves and quarters (age 8+) has no explanation yet - Representing numbers with objects (age 8+) has no explanation yet - Area by Tiling has no explanation yet - Understanding Area has no explanation yet - Perimeters of polygons has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Telling time to the minute (age 8+) has no explanation yet - Measuring Liquids & Masses has no explanation yet - Measuring length (age 7+) has no explanation yet - 2-D shapes (age 8+) has no explanation yet - Lines, Rays & Angles has no explanation yet - Classifying shapes by line properties has no explanation yet - Shape patterns has no explanation yet - Multiplication and Division Word Problems has no explanation yet - Two-Step Word Problems has no explanation yet - Two-Step Equations has no explanation yet - Properties of Operations has no explanation yet - Mental multiplication and division (age 9+) has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Fractions of a whole (age 8+) has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Fractions on a number line (age 8+) has no explanation yet - Fractions as parts of shapes has no explanation yet - Multiplying and dividing has no explanation yet - Addition and subtraction within 1000 has no explanation yet - Decimal place value (age 9+) has no explanation yet - Ordering Numbers to 1000 has no explanation yet - Reading and writing numbers (age 9+) has no explanation yet - Reading and writing numbers to 1000 has no explanation yet Credit: The structure of North Dakota academic standards: Mathematics (https://www.nd.gov/dpi/sites/www/files/documents/Academic%20Support/ND%20Mathematics%20K-12%20Standards.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.