## Elementary Scope and Sequence

SFUSD Math Core Curriculum Unit Plans

**Core Curriculum Unit Plans**include the scope and sequence for each grade in the overview.
Pre-K Storyline: Instructional time focuses on: 1) children understanding numbers and quantities, number relationships and operations in their everyday environments; 2) sorting and classifying objects and recognizing and expanding simple repeating patterns in their everyday environment; 3) comparing, ordering, and measuring objects; 4) identifying and using shapes and understanding their positions in space; 5) using mathematical thinking to solve problems in their everyday environment. |
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**Kindergarten**Storyline: Instructional time focuses on: 1) using numbers, including written numerals, to represent quantities and to solve quantitative problems, such as counting objects in a set; counting out a given number of objects; comparing sets or numerals; and modeling simple joining and separating situations with sets of objects, and eventually with equations. Students choose, combine, and apply effective strategies for answering quantitative questions, including quickly recognizing the cardinalities of small sets of objects, counting and producing sets of given sizes, counting the number of objects in combined sets, or counting the number of objects that remain in a set after some are taken away. 2) Students describe their physical world using geometric ideas (e.g. shape, orientation, spatial relations) and vocabulary. They identify, name, and describe basic two-dimensional shapes, such as squares, triangles, circles, rectangles, and hexagons, presented in a variety of ways (e.g., with different sizes and orientations), as well as three-dimensional shapes such as cubes, cones, cylinders, and spheres. They use basic shapes and spatial reasoning to model objects in their environment and to construct more complex shapes.

**1st Grade**Storyline: Instructional time focuses on: 1) developing understanding of addition, subtraction and strategies for addition and subtraction within 20; 2) developing understanding of whole number relationships and place value, including grouping in tens and ones; 3) developing understanding of linear measurement and measuring lengths as iterating length units; 4) reasoning about attributes of, and composing and decomposing geometric shapes.

**2nd Grade**Storyline: Instructional time focuses on: 1) Extending understanding of base-ten notation; 2) Building fluency with addition and subtraction; 3) Using standard units of measure; and 4) Describing and analyzing shapes.

**3rd Grade**Storyline: Instructional time focuses on four critical areas: 1) developing understanding of multiplication and division and strategies for multiplication and division within 100; 2) developing understanding of fractions, especially unit fractions (fractions with numerator 1); 3) developing understanding of the structure of rectangular arrays and of area; and 4) describing and analyzing two-dimensional shapes.

**4th Grade**Storyline: Instructional time focuses on: 1) generalizing and deepening understanding of place value, including using place value to understand multiplication and division as well as the relationship between them; 2) understanding fraction equivalency, unit fractions, and operations with fractions; 3) describing, analyzing, comparing, and classifying two dimensional shapes based on their properties.

**5th Grade**Storyline: In grade 5, instructional time should focus on three critical areas: 1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions); 2) extending division to two-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and 3) developing understanding of volume