How to learn Grade 1: Mathematics

Department of Defense Education Activity standards: Mathematics, Grade 1

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1. Reason with shapes and their attributes.

Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
Composing Shapes: Compose two-dimensional shapes (rectangles, squares, trapezoids, triangles, half-circles, quarter-circles) to create composite shapes, and compose new shapes from the composite shape
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)

Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
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

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
Telling Time: Minutes: Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times
Telling time to the minute (age 7+): 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

Measuring length (age 6+): Measure the length of an object using same-size length units laid end to end with no gaps or overlaps
Measuring length: Order three objects by length and compare the lengths of two objects indirectly using a third object

Subtracting multiples of 10: Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies
10 More or 10 Less: Mentally find 10 more or 10 less than a given two-digit number without counting
Place value understanding and number facts: Use place value understanding and number facts to solve problems
Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

The two digits of a two-digit number: Understand that the two digits of a two-digit number represent amounts of tens and ones
Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding

Reading and writing numbers to 120: Count to 120 starting at any number less than 120; read and write numerals to 120

What the equals sign means: Understand the meaning of the equal sign as 'is the same as' and determine if equations are true or false
Unknown in Addition & Subtraction: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers

Addition and subtraction within 20: Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts
Adding and subtracting: Add and subtract one-digit and two-digit numbers to 20, including zero

Finding a missing number in addition: Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)
Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide

Representing Addition and Subtraction: Represent addition and subtraction using objects, drawings, and mental images
Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings