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How to learn Grade 2: Mathematics

Arkansas academic standards: Mathematics, Grade 2

0 of 34 concepts ready to learn · Markdown, for your AI

1. Grade 2 · Organize and analyze 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. Grade 2 · Explore time and money values and concepts.

  1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  2. Money Addition & Subtraction: Solve simple money problems involving addition and subtraction, including giving change
  3. Time Units and Calendar Facts: Know the number of seconds in a minute and the number of days in each month, year, and leap year
  4. 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

3. Grade 2 · Explore the perimeter and area of shapes.

  1. Area by Tiling: Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths
  2. Measuring Perimeters: Measure the perimeter of simple 2-D shapes
  3. Perimeters of polygons: Solve problems involving perimeters of polygons: find perimeter from side lengths, find an unknown side length, and explore rectangles with same perimeter but different areas (or vice versa)

4. Grade 2 · Investigate measurement using rulers.

  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. 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
  3. Addition and subtraction word problems: Solve word problems involving lengths within 100, using addition and subtraction with drawings and equations
  4. 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

5. Grade 2 · Analyze attributes of shapes to develop generalizations about their properties.

  1. Edges, vertices, and faces: Identify and describe properties of 3-D shapes including the number of edges, vertices, and faces
  2. 2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
  3. 2-D faces on 3-D shapes: Identify 2-D shapes on the surface of 3-D shapes (e.g. a circle on a cylinder, a triangle on a pyramid)
  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. 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

6. Grade 2 · Develop and apply understanding of foundational algebraic concepts.

  1. Odd or Even: Determine whether a group of objects (up to 20) has an odd or even number of members

7. Grade 2 · Solve real-world problems.

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

8. Grade 2 · Perform operations using place value understanding and properties of operations.

  1. Place Value Problem-Solving: Solve number and practical problems involving place value with increasingly large positive numbers
  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. Place value understanding and number facts: Use place value understanding and number facts to solve problems
  4. 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
  5. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

9. Grade 2 · Build a conceptual understanding of fractions.

  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. Splitting shapes into equal parts (age 7+): Partition circles and rectangles into two, three, or four equal shares; describe shares as halves, thirds, and fourths; recognise that equal shares of identical wholes need not have the same shape

10. Grade 2 · Use place value understanding to compare numbers.

  1. Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
  2. Ordering Numbers to 1000: Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding

11. Grade 2 · Understand the base ten place value system.

  1. Subtracting multiples of 10: Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies
  2. Place value of each digit: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
  3. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations

12. Grade 2 · Extend the counting sequence.

  1. Counting forwards and backwards: Count forwards and backwards in steps of 3 from 0
  2. Counting forwards and backwards (age 6+): Count forwards and backwards in tens from any number (not just multiples of 10)
  3. Counting Within 1,000: Count within 1000, including skip-counting by 5s, 10s, and 100s