# Year 2: 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/nz-moe-year-2 Part of: [New Zealand Curriculum: Mathematics](https://ai.page/roadmap/nz-moe.md) Goal: The New Zealand Curriculum (Ministry of Education): Mathematics, Year 2 ## 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 - [Inverse: addition undoes subtraction](https://ai.page/c/inverse-addition-undoes-subtraction/index.md): Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems - [Multiplication as repeated addition](https://ai.page/c/multiplication-as-repeated-addition/index.md): Understand multiplication as repeated addition and grouping equal sets - [Mental and written addition and subtraction](https://ai.page/c/mental-and-written-addition-and-subtraction/index.md): Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures - [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) - [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 ## 2. Number · Fractions - [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 - [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 - [Understanding fractions](https://ai.page/c/understanding-fractions-maths/index.md): Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2 - [Equivalent fractions](https://ai.page/c/equivalent-fractions/index.md): Recognise and show, using diagrams, equivalent fractions with small denominators - [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 - [Simple Fraction Sums](https://ai.page/c/simple-fraction-sums/index.md): Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7) - [Comparing fractions](https://ai.page/c/comparing-fractions/index.md): Compare and order unit fractions, and fractions with the same denominator ## 3. 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 ## 4. Algebra · Equations and number relationships - [Addition and subtraction word problems](https://ai.page/c/addition-and-subtraction-word-problems/index.md): Solve addition and subtraction word problems within 10 using objects or drawings ## 5. Algebra · Patterns - [Patterns & Sequences](https://ai.page/c/patterns-and-sequences/index.md): Order and arrange combinations of mathematical objects in patterns and sequences ## 6. Measurement · Measuring - [Comparing and ordering measurements](https://ai.page/c/comparing-and-ordering-measurements/index.md): Compare and order lengths, mass, and capacity and record results using >, <, and = - [Measuring with different units](https://ai.page/c/measuring-with-different-units/index.md): Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen ## 7. Measurement · Time - [Telling time to the minute](https://ai.page/c/telling-time-to-the-minute/index.md): Measure and begin to record time in hours, minutes, and seconds - [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 - [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 ## 8. 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) - [Angles in triangles (age 6+)](https://ai.page/c/angles-in-triangles-age-6/index.md): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size) ## 9. Geometry · Spatial reasoning - [Parallel and perpendicular lines](https://ai.page/c/parallel-and-perpendicular-lines/index.md): Identify horizontal and vertical lines and pairs of perpendicular and parallel lines - [Lines of symmetry](https://ai.page/c/lines-of-symmetry/index.md): Complete a simple symmetric figure with respect to a specific line of symmetry ## 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 - [Turns & Directions](https://ai.page/c/turns-and-directions/index.md): Describe movement and direction, including whole, half, quarter, and three-quarter turns ## 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 - [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 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): - Place value understanding and number facts has no explanation yet - Inverse: addition undoes subtraction has no explanation yet - Multiplication as repeated addition has no explanation yet - Mental and written addition and subtraction has no explanation yet - Division as equal sharing has no explanation yet - Times tables has no explanation yet - What Is a Half? has no explanation yet - Fractions of amounts has no explanation yet - Understanding fractions has no explanation yet - Equivalent fractions has no explanation yet - Fractions of a whole has no explanation yet - Simple Fraction Sums has no explanation yet - Comparing fractions has no explanation yet - Adding money and giving change has no explanation yet - Addition and subtraction word problems has no explanation yet - Patterns & Sequences has no explanation yet - Comparing and ordering measurements has no explanation yet - Measuring with different units has no explanation yet - Telling time to the minute has no explanation yet - Telling Time: Hours and Half Hours has no explanation yet - Days, Weeks, Months & Years has no explanation yet - 2-D shapes has no explanation yet - Angles in triangles (age 6+) has no explanation yet - Parallel and perpendicular lines has no explanation yet - Lines of symmetry has no explanation yet - Positional Language has no explanation yet - Turns & Directions has no explanation yet - Sorting into categories (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.