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Grade 5 Math Courses - California Curriculum

Discover comprehensive Grade 5 math courses aligned with California's Common Core standards. Master key concepts, build problem-solving skills, and prepare for future mathematical challenges.

California Grade 5 Math Curriculum - Common Core Standards

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ID
Standard
StudyPug Topic
CA.5.OA.1
Use parentheses, brackets, or braces in numerical expressions
Arithmetic properties: Distributive property
Applications of the four operations (BEDMAS without exponents)
CA.5.OA.2
Write simple expressions and interpret numerical expressions
Writing expressions with variables
What are variables in algebra?
Introduction to solving equations with Variables
CA.5.OA.3
Generate two numerical patterns using given rules
Patterns: Describing patterns using tables and solving variables
Patterns: Applications of solving problems using patterns
Basics of coordinate plane
CA.5.NBT.1
Recognize place value in multi-digit numbers
Base ten blocks and numbers
Place value
CA.5.NBT.2
Explain patterns when multiplying or dividing by powers of 10
Multiplying decimals by powers of 10
Dividing decimals by power of 10
Multiplying by 10, 100 and 1000
CA.5.NBT.3
Read, write, and compare decimals to thousandths
Comparing and ordering decimals and fractions
What are decimals?
CA.5.NBT.4
Use place value to round decimals to any place
Estimating sums
Rounding numbers
CA.5.NBT.5
Fluently multiply multi-digit whole numbers
Multiplying multi-digit numbers
CA.5.NBT.6
Find whole-number quotients of whole numbers
Dividing multi-digit numbers
Dividing using place value
Dividing using area models
CA.5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths
Multiplying decimals by integers
Dividing decimals by integers
Word problems for decimals and integers
CA.5.NF.1
Add and subtract fractions with unlike denominators
Adding and subtracting fractions with unlike denominators
CA.5.NF.2
Solve word problems involving addition and subtraction of fractions
Adding and subtracting mixed numbers
CA.5.NF.3
Interpret fraction as division of numerator by denominator
Fraction of a number
CA.5.NF.4
Apply and extend previous understandings of multiplication to fractions
Multiplying fractions and whole numbers
Fractions: Multiplying proper fractions
CA.5.NF.5
Interpret multiplication as scaling (resizing)
Enlargements and reductions with scale factors
Arithmetic properties: Commutative property
Arithmetic properties: Associative property
Arithmetic properties: Identity property
CA.5.NF.6
Solve real-world problems involving multiplication of fractions and mixed numbers
Applications of fraction operations
CA.5.NF.7
Apply and extend previous understandings of division to fractions
Dividing fractions and mixed numbers
Dividing fractions with whole numbers
CA.5.MD.1
Convert like measurement units within a given measurement system
Operations with metric units
CA.5.MD.2
Make a line plot to display a data set of measurements in fractions of a unit
Advantages and disadvantages of different graphs
Frequency tables and dot plots
CA.5.MD.3
Recognize volume as an attribute of solid figures
Classifying 3D shapes
CA.5.MD.4
Measure volumes by counting unit cubes
Cubic measure
CA.5.MD.5
Relate volume to multiplication and addition
Introduction to volume of rectangular prisms
CA.5.G.1
Use a pair of perpendicular number lines to define a coordinate system
Cartesian plane
CA.5.G.2
Represent real-world and mathematical problems by graphing points
Draw on coordinate planes
CA.5.G.3
Understand that attributes of categories of two-dimensional figures belong to all subcategories
Classifying quadrilaterals
Classifying polygons
CA.5.G.4
Classify two-dimensional figures in a hierarchy based on properties
Classifying triangles

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