# Year 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 33 concepts ready. In the app: https://ai.page/roadmap/nz-moe-year-3 Part of: [New Zealand Curriculum: Mathematics](https://ai.page/roadmap/nz-moe.md) Goal: The New Zealand Curriculum (Ministry of Education): Mathematics, Year 3 ## 1. Number · Operations - [Place value understanding and number facts](https://ai.page/c/place-value-understanding-and-number-facts/index.md): Use place value understanding and number facts to solve problems - [Adding and subtracting (age 7+)](https://ai.page/c/adding-and-subtracting-age-7/index.md): Add and subtract numbers with up to three digits using formal written methods of columnar addition and subtraction - [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 - [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 - [Two-step addition and subtraction problems](https://ai.page/c/two-step-addition-and-subtraction-problems/index.md): Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why - [Counting in 2s](https://ai.page/c/counting-in-2s/index.md): Count in multiples of 2, 5, and 10 (skip counting) - [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 - [Times tables](https://ai.page/c/times-tables/index.md): Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables - [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 ## 2. Number · Fractions - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator - [Fractions of amounts](https://ai.page/c/fractions-of-amounts/index.md): Recognise, find, name, and write fractions 1/3, 1/4, 2/4, and 3/4 of a length, shape, set of objects, or quantity - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators ## 3. Number · Fractional parts and wholes - [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 - [Unit fractions](https://ai.page/c/unit-fractions/index.md): Recognise, find, and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators ## 4. Number · Financial mathematics - [Adding money and giving change](https://ai.page/c/adding-money-and-giving-change/index.md): Find different combinations of coins that equal the same amount of money - [Giving Change](https://ai.page/c/giving-change/index.md): Add and subtract amounts of money to give change, using both £ and p in practical contexts ## 5. Algebra · Equations and number relationships - [Connecting Representations](https://ai.page/c/connecting-representations/index.md): Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning) ## 6. Algebra · Patterns - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences - [Extending Table Patterns](https://ai.page/c/extending-table-patterns/index.md): Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences ## 7. Measurement · Measuring - [Calculating with measurements](https://ai.page/c/calculating-with-measurements/index.md): Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units ## 8. Measurement · Time - [Telling time to the minute (age 7+)](https://ai.page/c/telling-time-to-the-minute-age-7/index.md): Tell and write time from analogue and digital clocks to the nearest five minutes, using a.m., p.m., and 12-hour and 24-hour notation - [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 - [Comparing Time Durations](https://ai.page/c/comparing-time-durations/index.md): Compare durations of events and calculate the time taken by particular events or tasks ## 9. Geometry · Shapes - [Regular and irregular polygons](https://ai.page/c/regular-and-irregular-polygons/index.md): Distinguish between regular and irregular polygons based on reasoning about equal sides and equal angles - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn - [2-D shapes (age 6+)](https://ai.page/c/2-d-shapes-age-6/index.md): Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line - [3-D shapes](https://ai.page/c/3-d-shapes/index.md): Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones) ## 10. Geometry · Pathways - [Positional Language](https://ai.page/c/positional-language/index.md): Describe the position of objects using terms such as above, below, beside, in front of, behind, next to - [Position, direction, and movement](https://ai.page/c/position-direction-and-movement/index.md): Use mathematical vocabulary to describe position, direction, and movement, including straight lines and distinguishing rotation as a turn in terms of right angles (quarter, half, three-quarter turns, clockwise and anti-clockwise) - [Describing Movements](https://ai.page/c/describing-movements/index.md): Describe movements between positions as translations of a given unit to the left/right and up/down ## 11. Statistics · Developing knowledge from data - [Sorting into categories (age 6+)](https://ai.page/c/sorting-into-categories-age-6/index.md): Interpret categorical data by asking and answering questions about totals, how many in each category, and how many more or less one category has than another ## 12. Statistics · Visualisation of data representations (including picture graphs) - [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 ## Health: 0 of 100 Of its 33 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): - Place value understanding and number facts has no explanation yet - Adding and subtracting (age 7+) has no explanation yet - Adding numbers has no explanation yet - Reading and writing numbers to 1000 has no explanation yet - Two-step addition and subtraction problems has no explanation yet - Counting in 2s has no explanation yet - Properties of Operations has no explanation yet - Times tables has no explanation yet - Written Multiplication has no explanation yet - Comparing fractions has no explanation yet - Fractions of amounts has no explanation yet - Equivalent fractions has no explanation yet - Fractions of a whole has no explanation yet - Unit fractions has no explanation yet - Adding money and giving change has no explanation yet - Giving Change has no explanation yet - Connecting Representations has no explanation yet - Patterns & Sequences has no explanation yet - Extending Table Patterns has no explanation yet - Calculating with measurements has no explanation yet - Telling time to the minute (age 7+) has no explanation yet - Telling time to the minute (age 8+) has no explanation yet - Comparing Time Durations has no explanation yet - Regular and irregular polygons has no explanation yet - 2-D shapes has no explanation yet - Understanding angles comes before Position, direction, and movement, which it needs - Understanding angles has no explanation yet - 2-D shapes (age 6+) has no explanation yet - 3-D shapes has no explanation yet - Positional Language has no explanation yet - Position, direction, and movement has no explanation yet - Describing Movements has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Pictograms and tally charts has no explanation yet Credit: The structure of The New Zealand Curriculum (Ministry of Education): Mathematics (https://nzcurriculum.tki.org.nz/the-nzc/learning-areas/mathematics-and-statistics); 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.