How to learn Year 2: Mathematics

The New Zealand Curriculum (Ministry of Education): Mathematics, Year 2

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1. Number · Operations

Place value understanding and number facts: Use place value understanding and number facts to solve problems
Inverse: addition undoes subtraction: Recognise and use the inverse relationship between addition and subtraction to check calculations and solve missing-number problems
Multiplication as repeated addition: Understand multiplication as repeated addition and grouping equal sets
Mental and written addition and subtraction: Solve addition and subtraction problems using mental and written methods, including problems involving numbers, quantities, and measures
Division as equal sharing: Understand division as sharing equally into groups or as grouping (how many groups of a given size can be made)
Times tables: Recall and use multiplication and division facts for the 2, 5, and 10 multiplication tables

What Is a Half?: Recognise, find, and name a half as one of two equal parts of an object, shape, or quantity
Fractions of amounts: 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: Write simple fractions (e.g. 1/2 of 6 = 3) and recognise the equivalence of 2/4 and 1/2
Equivalent fractions: Recognise and show, using diagrams, equivalent fractions with small denominators
Fractions of a whole: 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: Add and subtract fractions with the same denominator within one whole (e.g. 5/7 + 1/7 = 6/7)
Comparing fractions: Compare and order unit fractions, and fractions with the same denominator

Adding money and giving change: Find different combinations of coins that equal the same amount of money

Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings

Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences

Comparing and ordering measurements: Compare and order lengths, mass, and capacity and record results using >, <, and =
Measuring with different units: Measure the length of an object using two different length units and describe how the measurements relate to the size of the unit chosen

Telling time to the minute: Measure and begin to record time in hours, minutes, and seconds
Telling Time: Hours and Half Hours: Tell the time to the hour and half past the hour, and draw clock hands to show these times
Days, Weeks, Months & Years: Recognise and use language relating to dates, including days of the week, weeks, months, and years

2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
Angles in triangles (age 6+): Distinguish defining attributes of shapes (e.g. triangles are closed and three-sided) from non-defining attributes (e.g. colour, orientation, overall size)

Parallel and perpendicular lines: Identify horizontal and vertical lines and pairs of perpendicular and parallel lines
Lines of symmetry: Complete a simple symmetric figure with respect to a specific line of symmetry

Positional Language: Describe the position of objects using terms such as above, below, beside, in front of, behind, next to
Turns & Directions: Describe movement and direction, including whole, half, quarter, and three-quarter turns

Sorting into categories (age 6+): 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: Interpret and construct simple pictograms, tally charts, block diagrams, and simple tables
Picture & Bar Graphs: 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