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California Common Core Content Standards

Overview:

Fifth grade students finalize fluency with multi-digit addition, subtraction, multiplication, and division.  They apply their understanding of fractions to the addition and subtraction of fractions with unlike denominators, the concept of fraction multiplication and division, and decimal addition and subtraction.  They analyze numeric patterns and relationships and graph ordered pairs on a coordinate plane.  Students build on their understanding of geometry by recognizing attributes of geometrical shapes and calculating inside angle measurement and area of triangles and parallelograms.

Operations and Algebraic Thinking

·         Write and interpret numerical expressions using parentheses, brackets, or braces:

“Add 8 and 7, then multiply by 2” is 2(8 + 7)

·         Express a whole number (2 – 50) as a product of its prime factors

·         Describe more complex patterns by seeing the change

Number and Base Ten Operations

·         Understand the place value system from thousandths to millions

·         Fluently multiply multi-digit numbers using the standard algorithm

·         Divide multi-digit numbers by two-digit divisors

·         Read, write, and compare decimals to the thousandths

·         Round decimals to any place

·         Compute with multi-digit whole numbers and numbers with decimals to the hundredths

Number and Operations – Fractions

·         Add and subtract fractions with unlike denominators

·         Multiply fractions and mixed numbers

·         Divide unit fractions by whole numbers and whole numbers by unit fractions

Measurement and Data

·         Convert measurements and use in problem solving:

0.05 m = 5 cm or 2.5 feet = 30 inches

·         Organize and explain data using a line plot

·         Understand and find the volume of rectangular prisms

·         Analyze number patterns

Geometry

·         Graph points on a coordinate graph

·         Show a graph with an x and y axis with several points labeled by their coordinates

·         Sort two-dimensional shapes into categories based on their properties

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