How to learn Grade 2: Mathematics

Maine academic standards: Mathematics, Grade 2

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1. Statistical Reasoning · Work with time and money.

1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
2. 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

2. Statistical Reasoning · Relate addition and subtraction to length.

1. Numbers on a number line: Represent whole numbers as lengths on a number line and represent sums and differences within 100 on a number line diagram
2. Addition and subtraction word problems: Solve word problems involving lengths within 100, using addition and subtraction with drawings and equations

3. Statistical Reasoning · Represent and interpret data.

1. 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
2. Measuring & Plotting Lengths: Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot

4. Statistical Reasoning · Describe and compare measurable attributes.

1. Measuring length (age 7+): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
2. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
3. 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
4. Comparing lengths by measuring: Measure to determine how much longer one object is than another, expressing the length difference in terms of a standard length unit
5. Measurable Attributes of Objects: Describe and identify measurable attributes of objects such as length, height, weight, and capacity; use comparative language (longer, shorter, heavier, lighter, more, less)

5. Geometric Reasoning · Identify, describe, analyze, compare, create, and compose shapes based on their attributes.

1. Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
2. Rows & Columns in Rectangles: Partition a rectangle into rows and columns of same-size squares and count to find the total number of them
3. 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)
4. Angles in triangles (age 7+): Recognise and draw shapes having specified attributes (e.g. a given number of angles or equal faces); identify triangles, quadrilaterals, pentagons, hexagons, and cubes
5. Edges, vertices, and faces: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces

6. Algebraic Reasoning · Understand and apply properties of operation and the relationship between addition and subtraction within 20.

1. Arrays for multiplication (age 7+): Use addition to find the total number of objects arranged in rectangular arrays with up to 5 rows and 5 columns; write an equation to express the total as a sum of equal addends
2. Odd or Even: Determine whether a group of objects (up to 20) has an odd or even number of members
3. Fluent adding and subtracting within 20: Fluently add and subtract within 20 using mental strategies; know from memory all sums of two one-digit numbers

7. Algebraic Reasoning · Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

1. Two-Step Word Problems: Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions