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How to learn Grade 1: Mathematics

Texas Essential Knowledge and Skills: Mathematics, Grade 1

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

1. Data analysis

  1. Sorting Data into Categories: Organise and represent data with up to three categories by counting objects in each category and sorting categories by quantity
  2. 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. Geometry and measurement

  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. 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 length (age 7+): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
  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. 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
  6. Measuring & Plotting Lengths: Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot
  7. Estimating Lengths: Estimate lengths using units of inches, feet, centimetres, and metres
  8. 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. 2-D shapes: Recognise and name common 2-D shapes (circles, triangles, rectangles including squares)
  10. 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
  11. 3-D shapes: Recognise and name common 3-D shapes (cubes, cuboids, pyramids, spheres, cylinders, cones)
  12. 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)
  13. Sorting 2-D and 3-D shapes: Compare and sort common 2-D and 3-D shapes and everyday objects by their properties
  14. Measuring Perimeters: Measure the perimeter of simple 2-D shapes

3. Algebraic reasoning

  1. Properties of Operations: Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide
  2. 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
  3. Unknown in Addition & Subtraction: Determine the unknown whole number in an addition or subtraction equation relating three whole numbers
  4. Connecting Representations: Move between real-world situations, drawings, and number sentences, explaining how each representation connects to the others (quantitative reasoning)
  5. Rote counting to 100: Rote count forwards and backwards from 0 to 100, beginning from 0, 1, or any given number, by ones

4. Number and operations

  1. Halves and quarters (age 7+): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately
  2. Pounds & Pence Notation: Recognise and use symbols for pounds (£) and pence (p) and combine amounts to make a particular value
  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. Addition and subtraction word problems: Solve addition and subtraction word problems within 10 using objects or drawings
  5. 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
  6. Adding numbers: Add up to four two-digit numbers using strategies based on place value and properties of operations
  7. Ordering Numbers to 1000: Compare and order numbers up to 1000 using >, =, and < symbols, based on place-value understanding
  8. Representing numbers with objects: Represent numbers using objects, pictorial representations, and the number line
  9. Place Value to 1000: Solve number problems and practical problems involving place value of numbers up to 1000

5. Mathematical process standards

  1. Precise Maths Communication: Communicate with mathematical precision: use correct vocabulary, specify units, and use symbols accurately
  2. Hands-On Problem Solving: Select and use familiar tools (concrete objects, fingers, ten frames) to help solve a mathematical problem
  3. Making Sense of Problems: Make sense of a problem by identifying what is being asked, choosing concrete objects or pictures to represent the situation, and explaining a pathway to the solution
  4. Connecting maths to real life: Represent real-world problems with number sentences, bar models, or diagrams, and interpret the mathematical result back in context