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How to learn Grade 1: Mathematics

Nebraska academic standards: Mathematics, Grade 1

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

  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 · Data Collection: Students will formulate questions to collect, organize, and represent 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

3. Grade 1 · Time and Money: Students will solve problems with coins and tell time to the half hour.

  1. Telling Time: Hours and Half Hours: Tell the time to the hour and half past the hour, and draw clock hands to show these times
  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. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately

4. Grade 1 · Measurement: Students will measure and compare lengths.

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

5. Grade 1 · Shapes and Their Attributes: Students will represent and describe the attributes of two-dimensional shapes.

  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. 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
  3. 3-D shapes: Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
  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

6. Grade 1 · Number and Algebraic Relationships: Students will understand and apply properties of operations and the relationship between addition and subtraction to solve problems.

  1. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings
  2. Adding and subtracting: Add and subtract one-digit and two-digit numbers to 20, including zero
  3. Addition and subtraction strategies (age 7+): Explain why addition and subtraction strategies work, using place value and the properties of operations
  4. 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
  5. Unknown in Addition & Subtraction: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  6. Finding a missing number in addition: Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)

7. Grade 1 · Number and Operations: Students will compute using addition and subtraction.

  1. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  2. 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
  3. 10 More or 10 Less: Mentally find 10 more or 10 less than a given two-digit number without counting
  4. Subtracting multiples of 10: Subtract multiples of 10 (10–90) from multiples of 10 using place value strategies
  5. Fluent adding and subtracting within 10: Fluently add and subtract within 10
  6. 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

8. Grade 1 · Base Ten: Students will represent and compare two-digit numbers to gain foundations for place value.

  1. A Ten Is Ten Ones: Understand that 10 can be thought of as a bundle of ten ones — called a 'ten'
  2. The two digits of a two-digit number: Understand that the two digits of a two-digit number represent amounts of tens and ones
  3. Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding
  4. A Hundred Is Ten Tens: Understand that 100 can be thought of as a bundle of ten tens — called a 'hundred'

9. Grade 1 · Counting and Cardinality: Students will understand the relationship between numbers and quantities to extend the counting sequence.

  1. Counting Within 1,000: Count within 1000, including skip-counting by 5s, 10s, and 100s
  2. One More Each Time: Each successive counting number represents a quantity that is one larger than the previous number
  3. Counting forwards and backwards (age 6+): Count forwards and backwards in tens from any number (not just multiples of 10)

10. Grade 1 · Subitizing: Students will quantify briefly shown collections and verbally label the arrangements without counting.

  1. Counting objects to 20: Count a set of objects to answer 'how many?' for sets up to 20 (arranged in lines, arrays, circles, or scattered)