You can access the comprehensive California Common Core State Standards for Mathematics for Grades 1 through 3 through the following links:
• Grade 1: California Common Core State Standards: Mathematics - Grade 1
• Grade 2: California Common Core State Standards: Mathematics - Grade 2
• Grade 3: California Common Core State Standards: Mathematics - Grade 3
These documents, provided by the California Department of Education, offer detailed descriptions of the mathematical concepts and skills students are expected to learn at each grade level.
Here’s a summary of the California Common Core State Standards for Mathematics for 1st to 3rd graders, organized by key mathematical concepts:
1st Grade:
1. Operations and Algebraic Thinking:
• Add and subtract within 20 (e.g., 9 + 7 = 16, 15 - 8 = 7).
• Solve word problems involving addition and subtraction.
• Understand the properties of operations (e.g., the commutative property of addition).
• Work with addition and subtraction equations (e.g., 8 + ? = 12).
2. Number and Operations in Base Ten:
• Understand place value (ones, tens).
• Count to 120 starting at any number.
• Add and subtract within 100 using strategies based on place value.
3. Measurement and Data:
• Measure lengths using non-standard units (e.g., paper clips, blocks).
• Tell and write time (hour and half-hour).
• Represent and interpret data (e.g., picture graphs, bar graphs).
4. Geometry:
• Reason with shapes and their attributes.
• Classify and sort 2D and 3D shapes based on their attributes (e.g., number of sides or vertices).
2nd Grade:
1. Operations and Algebraic Thinking:
• Add and subtract within 100.
• Solve word problems with addition and subtraction, involving lengths and measurements.
• Work with basic facts for multiplication and division (introduce the concept of repeated addition).
2. Number and Operations in Base Ten:
• Understand place value up to 100 (ones, tens, and hundreds).
• Add and subtract within 1,000 using place value strategies.
• Skip count by twos, fives, and tens (up to 100).
3. Measurement and Data:
• Measure and estimate lengths using appropriate units (e.g., inches, centimeters).
• Tell time to the nearest five minutes.
• Represent and interpret data using line plots, bar graphs, and tally charts.
• Solve simple addition and subtraction problems using coins (money).
4. Geometry:
• Recognize and draw shapes with specified attributes.
• Partition circles and rectangles into two, three, or four equal parts and understand the concept of fractions (1/2, 1/3, 1/4).
3rd Grade:
1. Operations and Algebraic Thinking:
• Multiply and divide within 100 (basic multiplication tables, simple division).
• Solve multi-step word problems involving all four operations.
• Understand the relationship between multiplication and division.
2. Number and Operations in Base Ten:
• Understand place value up to 1,000.
• Round numbers to the nearest ten or hundred.
• Add and subtract within 1,000, including using mental math and estimation strategies.
3. Measurement and Data:
• Solve problems involving time, liquid volume, and mass (e.g., measuring lengths, weighing objects, calculating elapsed time).
• Represent and interpret data using bar graphs, pictographs, and line plots.
• Understand and measure angles (e.g., right angles, acute and obtuse).
4. Geometry:
• Understand shapes and their properties (e.g., quadrilaterals, triangles).
• Partition shapes into equal parts and express the parts as fractions.
• Classify 2D shapes (triangles, quadrilaterals, polygons) based on attributes.