# Year 0–1: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 39 concepts ready. In the app: https://ai.page/roadmap/nz-moe-year-0-1 Part of: [New Zealand Curriculum: Mathematics](https://ai.page/roadmap/nz-moe.md) Goal: The New Zealand Curriculum (Ministry of Education): Mathematics, Year 0–1 ## 1. Number · Operations - [Addition as combining or putting together two](https://ai.page/c/addition-as-combining-or-putting-together-two/index.md): Understand addition as combining or putting together two groups to find the total - [Subtraction as taking away or separating](https://ai.page/c/subtraction-as-taking-away-or-separating/index.md): Understand subtraction as taking away or separating from a group to find how many remain - [Adding and subtracting](https://ai.page/c/adding-and-subtracting/index.md): Add and subtract one-digit and two-digit numbers to 20, including zero - [Counting objects to 20](https://ai.page/c/counting-objects-to-20/index.md): Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered) - [Representing Addition and Subtraction](https://ai.page/c/representing-addition-and-subtraction/index.md): Represent addition and subtraction using objects, drawings, and mental images - [Multiplication as repeated addition](https://ai.page/c/multiplication-as-repeated-addition/index.md): Understand multiplication as repeated addition and grouping equal sets - [Division as equal sharing](https://ai.page/c/division-as-equal-sharing/index.md): Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made) ## 2. Number · Fractions - [Halves & Quarters of Shapes](https://ai.page/c/halves-and-quarters-of-shapes/index.md): Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters - [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 ## 3. Number · Fractional parts and wholes - [What Is a Half?](https://ai.page/c/what-is-a-half/index.md): Recognise, find, and name a half as one of two equal parts of an object, shape, or quantity ## 4. Number · Financial mathematics - [Coin Values](https://ai.page/c/coin-values/index.md): Recognise and know the value of different coins and notes - [Money Addition & Subtraction](https://ai.page/c/money-addition-and-subtraction/index.md): Solve simple money problems involving addition and subtraction, including giving change ## 5. Algebra · Equations and number relationships - [Reading +, −, and = symbols](https://ai.page/c/reading-and-symbols/index.md): Read, write, and interpret the symbols +, −, and = in number sentences - [What the equals sign means](https://ai.page/c/what-the-equals-sign-means/index.md): Understand the meaning of the equal sign as 'is the same as' and determine if equations are true or false ## 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 ## 7. Measurement · Measuring - [Comparing lengths by measuring](https://ai.page/c/comparing-lengths-by-measuring/index.md): Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit - [Measurable Attributes of Objects](https://ai.page/c/measurable-attributes-of-objects/index.md): Describe and identify measurable attributes of objects such as length, height, weight, and capacity; use comparative language (longer, shorter, heavier, lighter, more, less) - [Measuring mass and weight (age 4+)](https://ai.page/c/measuring-mass-and-weight-age-4/index.md): Compare two objects directly by mass or weight and describe the difference using language such as heavy, light, heavier than, lighter than - [Capacity and volume](https://ai.page/c/capacity-and-volume/index.md): Measure and begin to record capacity and volume using non-standard and standard units ## 8. Measurement · Length and Area - [Measuring length (age 6+)](https://ai.page/c/measuring-length-age-6/index.md): Measure the length of an object using same-size length units laid end to end with no gaps or overlaps - [Measuring Perimeters](https://ai.page/c/measuring-perimeters/index.md): Measure the perimeter of simple 2-D shapes ## 9. Measurement · Geometry - [Turns & Directions](https://ai.page/c/turns-and-directions/index.md): Describe movement and direction, including whole, half, quarter, and three-quarter turns - [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) - [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn ## 10. Measurement · Time - [Telling Time: Hours and Half Hours](https://ai.page/c/telling-time-hours-and-half-hours/index.md): Tell the time to the hour and half past the hour, and draw clock hands to show these times - [Ordering Events in Time](https://ai.page/c/ordering-events-in-time/index.md): Sequence events in chronological order using language such as before, after, next, first, today, yesterday, tomorrow, morning, afternoon, evening - [Comparing durations](https://ai.page/c/comparing-durations/index.md): Use comparative language for time: quicker, slower, earlier, later - [Days, Weeks, Months & Years](https://ai.page/c/days-weeks-months-and-years/index.md): Recognise and use language relating to dates, including days of the week, weeks, months, and years - [Number of minutes in an hour](https://ai.page/c/number-of-minutes-in-an-hour/index.md): Know the number of minutes in an hour and the number of hours in a day ## 11. Geometry · Shapes - [2-D shapes](https://ai.page/c/2-d-shapes/index.md): Recognise and name common 2-D shapes (circles, triangles, rectangles including squares) - [3-D shapes (age 5+)](https://ai.page/c/3-d-shapes-age-5/index.md): Analyse and compare 2-D and 3-D shapes using informal language to describe sides, vertices, and other attributes - [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 ## 12. Geometry · Spatial reasoning - [Composing Shapes](https://ai.page/c/composing-shapes/index.md): Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape ## 13. 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 ## 14. Statistics · Developing knowledge from data - [Sorting into categories](https://ai.page/c/sorting-into-categories/index.md): Classify objects into given categories, count the number in each category, and sort the categories by count - [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 - [Pictograms and tally charts (age 6+)](https://ai.page/c/pictograms-and-tally-charts-age-6/index.md): Read, write, and use the vocabulary of data collection and display — data, tally, tally chart, frequency, frequency table, survey, pictogram, bar chart, axis/axes, scale, label, category, discrete data, continuous data, line graph, pie chart — and apply these terms when collecting, organising, and presenting data ## 15. 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 - [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph ## Health: 0 of 100 Of its 39 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): - Addition as combining or putting together two has no explanation yet - Subtraction as taking away or separating has no explanation yet - Adding and subtracting has no explanation yet - Counting objects to 20 has no explanation yet - Representing Addition and Subtraction has no explanation yet - Multiplication as repeated addition has no explanation yet - Division as equal sharing has no explanation yet - Halves & Quarters of Shapes comes before What Is a Half?, which it needs - Halves & Quarters of Shapes has no explanation yet - Fractions of amounts comes before What Is a Half?, which it needs - Fractions of amounts has no explanation yet - What Is a Half? has no explanation yet - Coin Values has no explanation yet - Money Addition & Subtraction has no explanation yet - Reading +, −, and = symbols has no explanation yet - What the equals sign means has no explanation yet - Patterns & Sequences has no explanation yet - Comparing lengths by measuring has no explanation yet - Measurable Attributes of Objects has no explanation yet - Measuring mass and weight (age 4+) has no explanation yet - Capacity and volume has no explanation yet - Measuring length (age 6+) has no explanation yet - Measuring Perimeters has no explanation yet - Turns & Directions comes before Positional Language, which it needs - Turns & Directions has no explanation yet - Position, direction, and movement comes before Positional Language, which it needs - Position, direction, and movement has no explanation yet - Understanding angles has no explanation yet - Telling Time: Hours and Half Hours has no explanation yet - Ordering Events in Time has no explanation yet - Comparing durations has no explanation yet - Days, Weeks, Months & Years has no explanation yet - Number of minutes in an hour has no explanation yet - 2-D shapes has no explanation yet - 3-D shapes (age 5+) has no explanation yet - 2-D shapes (age 6+) has no explanation yet - Composing Shapes has no explanation yet - Positional Language has no explanation yet - Sorting into categories has no explanation yet - Sorting into categories (age 6+) has no explanation yet - Pictograms and tally charts (age 6+) has no explanation yet - Pictograms and tally charts has no explanation yet - Picture & Bar Graphs 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.