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How to learn Grade 1: Mathematics

Arkansas academic standards: Mathematics, Grade 1

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1. Grade 1 · Organize and analyze data.

  1. 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

2. Grade 1 · 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. 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 1 · Investigate measurement with non-standard units.

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

4. Grade 1 · Analyze attributes of shapes to develop generalizations about their properties.

  1. 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
  2. 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)

5. Grade 1 · Develop and apply understanding of foundational algebraic concepts.

  1. 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
  2. Unknown in Addition & Subtraction: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers

6. Grade 1 · Solve real-world problems.

  1. Early Word Problems: Solve one-step word problems involving addition and subtraction to 20, including missing-number problems
  2. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings

7. Grade 1 · Perform operations using place value understanding and properties of operations.

  1. Place value understanding and number facts: Use place value understanding and number facts to solve problems
  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. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  4. Addition and subtraction strategies (age 7+): Explain why addition and subtraction strategies work, using place value and the properties of operations

8. Grade 1 · 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

9. Grade 1 · 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

10. Grade 1 · Understand the base ten place value system.

  1. 10 or 100 More or Less: Find 10 or 100 more or less than a given number up to 1000
  2. Subtracting multiples of 10: Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies
  3. Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000

11. Grade 1 · Extend the counting sequence.

  1. Counting Within 1,000: Count within 1000, including skip-counting by 5s, 10s, and 100s
  2. Rote counting to 100: Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones