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How to learn Grade 2: Mathematics

South Carolina academic standards: Mathematics, Grade 2

0 of 25 concepts ready to learn · Markdown, for your AI

1. Patterns, Algebra, and Functional Reasoning · Recognize, describe, extend, and create patterns.

  1. Extending Table Patterns: Recognise and use repeated reasoning to generalise: extend multiplication table patterns, derive unknown facts from known ones, and describe rules for sequences
  2. Patterns & Sequences: Order and arrange combinations of mathematical objects in patterns and sequences

2. Patterns, Algebra, and Functional Reasoning · Understand and apply properties of operations and the relationship between addition and subtraction to solve problems.

  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. 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
  4. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
  5. Patterns in Times Tables: Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
  6. Two-step addition and subtraction problems: Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
  7. Connecting Representations: Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)

3. Numerical Reasoning · Represent and compare partitioned shapes in multiple ways using part-whole relationships.

  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. Decomposing a shape into more equal shares: Understand that decomposing a shape into more equal shares creates smaller shares
  3. Fractions as parts of shapes: Partition shapes into parts with equal areas and express the area of each part as a unit fraction of the whole

4. Numerical Reasoning · Demonstrate the ability to compare quantities of objects and numerals representing quantities of objects.

  1. Comparing Large Numbers: Order and compare numbers beyond 1000

5. Numerical Reasoning · Explain the relationship between numbers and quantities.

  1. Counting forwards and backwards: Count forwards and backwards in steps of 3 from 0

6. Numerical Reasoning · Represent multi-digit numbers in a variety of ways to build place value understanding.

  1. 10 or 100 More or Less: Find 10 or 100 more or less than a given number up to 1000
  2. Place value of each digit: Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens, and ones)
  3. Representing Numbers: Identify, represent, and estimate numbers using different representations including the number line
  4. Numbers to 10,000: Identify, represent, and estimate numbers up to 10,000 using different representations

7. Measurement, Geometry, and Spatial Reasoning · Analyze, describe, and manipulate shapes to make sense of their relationships in mathematical and real-world situations.

  1. Understanding angles: Recognise angles as a property of shape or a description of a turn

8. Measurement, Geometry, and Spatial Reasoning · Describe, estimate, measure, and compare objects in real-world situations using units of length, weight, currency, and time.

  1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  2. Calculating with measurements: Measure, compare, add, and subtract lengths (m/cm/mm), mass (kg/g), and volume/capacity (l/ml) using standard units
  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. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres

9. Data, Probability, and Statistical Reasoning · Create and answer survey questions, collect and analyze data, and communicate through multiple representations.

  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