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How to learn Grade 2: Mathematics

Nebraska academic standards: Mathematics, Grade 2

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1. Grade 2 · Analyze Data and Interpret Results: Students will analyze the data and interpret the results.

  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. Grade 2 · Data Collection: Students will formulate questions to collect, organize, and represent data.

  1. Measuring & Plotting Lengths: Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot
  2. Representing numbers with objects (age 8+): Draw a scaled picture graph and a scaled bar graph to represent a data set; solve one- and two-step comparison, sum, and difference problems using bar charts, pictograms, and tables

3. Grade 2 · Time and Money: Students will solve problems with dollar bills and coins and tell time to the nearest five-minute interval.

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

4. Grade 2 · Relate Addition and Subtraction to Measurement: Students will add or subtract to solve length problems.

  1. Addition and subtraction word problems: Solve word problems involving lengths within 100, using addition and subtraction with drawings and equations
  2. 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

5. Grade 2 · Measurement: Students will use tools to measure and estimate length using standard units.

  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

6. Grade 2 · Describe Measurable Attributes: Students will measure, estimate, and compare lengths to build meaning of the measurement process.

  1. 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

7. Grade 2 · Shapes and Their Attributes: Students will recognize and represent the attributes of two-dimensional shapes and three-dimensional solids.

  1. 2-D shapes (age 6+): Identify and describe properties of 2-D shapes including the number of sides and line symmetry in a vertical line
  2. Halves & Quarters of Shapes: Partition circles and rectangles into two and four equal shares and describe them using the words halves, fourths, and quarters
  3. 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
  4. Edges, vertices, and faces: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
  5. 2-D shapes (age 7+): Draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them

8. Grade 2 · Number and Algebraic Relationships: Students will create and solve problems involving addition and subtraction and work with equal groups of objects to gain foundations for multiplication.

  1. Odd or Even: Determine whether a group of objects (up to 20) has an odd or even number of members
  2. 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
  3. Two-Step Word Problems: Solve one- and two-step word problems within 100 using addition and subtraction, with unknowns in all positions
  4. Two-step addition and subtraction problems: Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

9. Grade 2 · Number and Operations: Students will compute using addition and subtraction.

  1. 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
  2. Fluent adding and subtracting within 100: Fluently add and subtract within 100 using strategies based on place value, properties of operations, and the relationship between addition and subtraction
  3. Addition and subtraction within 1000: Add and subtract within 1000 using concrete models, drawings, and strategies based on place value; understand composing and decomposing tens and hundreds
  4. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  5. Adding two two-digit numbers: Add and subtract two two-digit numbers using concrete objects, pictorial representations, and mental methods

10. Grade 2 · Base Ten: Students will represent and compare three-digit numbers to apply concepts of place value.

  1. A Hundred Is Ten Tens: Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'
  2. The three digits of a three-digit number: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones
  3. Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
  4. Ordering Numbers to 1000: Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
  5. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations

11. Grade 2 · Counting: Students will understand the relationship between numbers and quantities to extend the counting sequence.

  1. Counting in 2s: Count in multiples of 2, 5, and 10 (skip counting)