How to learn Grade 1: Mathematics

Tennessee academic standards: Mathematics, Grade 1

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1. Grade 1 · Reason about shapes/solids and their attributes.

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. 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
3. Building with 3-D Shapes: Compose three-dimensional shapes (cubes, right rectangular prisms, right circular cones, right circular cylinders) and create composite shapes; build new shapes from component shapes
4. 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)

2. Grade 1 · Represent and interpret 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

3. Grade 1 · Work with time and money.

1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
2. 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
3. Telling Time: Minutes: Tell and write the time to five minutes, including quarter past and quarter to, and draw clock hands to show these times
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

4. Grade 1 · Measure lengths indirectly and by iterating length units.

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

5. Grade 1 · Use place value understanding and properties of operations to add and subtract.

1. 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
2. Place value understanding and number facts: Use place value understanding and number facts to solve problems
3. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations

6. Grade 1 · Understand place value.

1. The two digits of a two-digit number: Understand that the two digits of a two-digit number represent amounts of tens and ones
2. Comparing and ordering numbers: Compare and order two-digit numbers using the symbols >, =, and <, based on place value understanding

7. Grade 1 · Extend the counting sequence.

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. Reading and writing numbers to 120: Count to 120 starting at any number less than 120; read and write numerals to 120

8. Grade 1 · Work with addition and subtraction equations.

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

9. Grade 1 · Add and subtract within 20.

1. 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
2. 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

10. Grade 1 · Understand and apply properties of operations and the relationship between addition and subtraction.

1. Finding a missing number in addition: Understand subtraction as finding an unknown addend (e.g. 10 − 8 = ? is the same as 8 + ? = 10)
2. Addition and subtraction strategies (age 7+): Explain why addition and subtraction strategies work, using place value and the properties of operations

11. Grade 1 · Represent and solve problems involving addition and subtraction.

1. Representing Addition and Subtraction: Represent addition and subtraction using objects, drawings, and mental images
2. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings