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Grade 6 Math Courses - California Curriculum

Discover comprehensive Grade 6 Math courses aligned with California standards. Explore key concepts in ratios, fractions, algebra, and geometry to build a strong mathematical foundation for future learning.

CA Grade 6 Math Curriculum - StudyPug Learning Support

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ID
Standard
StudyPug Topic
CA.6.RP.1
Understand ratio concepts and use ratio reasoning to solve problems
What is ratio?
Rates with fractions
Ratios
CA.6.RP.2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0
Converting among ratios, fractions and decimals
Applications of ratios
Rates
CA.6.RP.3
Use ratio and rate reasoning to solve real-world and mathematical problems
Identifying proportional relationships
Proportions
Representing percents
Converting between decimals, fractions, and percents
Applications of percents
CA.6.NS.1
Interpret and compute quotients of fractions
Dividing fractions and mixed numbers
What is an integer
Dividing fractions with whole numbers
Applications of fraction operations
CA.6.NS.2
Fluently divide multi-digit numbers using the standard algorithm
Dividing multi-digit numbers
CA.6.NS.3
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation
Multiplying decimals by integers
Dividing decimals by integers
Adding and subtracting decimals
Multiplying decimals
Dividing decimals
CA.6.NS.4
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12
Determining common factors
Determining common multiples
Greatest common factors (GCF)
Least common multiple (LCM)
Arithmetic properties: Distributive property
CA.6.NS.5
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values
Negative numbers and opposite numbers
Introduction to integer addition
Application of integer operations
CA.6.NS.6
Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes to represent points on the line and in the plane with negative number coordinates
Cartesian plane
Understanding graphs of linear relationships
CA.6.NS.7
Understand ordering and absolute value of rational numbers
Introduction to absolute value
Comparing and ordering rational numbers
Comparing and ordering numbers
CA.6.NS.8
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane
Draw on coordinate planes
Applications of linear relationships
Horizontal and vertical distances
CA.6.EE.1
Write and evaluate numerical expressions involving whole-number exponents
Introduction to exponents
Using exponents to describe numbers
CA.6.EE.2
Write, read, and evaluate expressions in which letters stand for numbers
Writing expressions with variables
Combining like terms
Evaluating algebraic expressions
CA.6.EE.3
Apply the properties of operations to generate equivalent expressions
Equivalent expressions
Order of operations (PEMDAS)
CA.6.EE.4
Identify when two expressions are equivalent
Patterns
CA.6.EE.5
Understand solving an equation or inequality as a process of answering a question
Model and solve one-step linear equations: ax = b, x/a = b
CA.6.EE.6
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem
Solving two-step linear equations using addition and subtraction: ax + b = c
CA.6.EE.7
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers
Solving two-step linear equations using multiplication and division: x/a + b = c
Solving one - step equations: x + a = b
CA.6.EE.8
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem
Express linear inequalities graphically and algebraically
Solving one-step linear inequalities
CA.6.EE.9
Use variables to represent two quantities in a real-world problem that change in relationship to one another
Representing patterns in linear relations
Reading linear relation graphs
Solving linear equations by graphing
Graphing linear relations
CA.6.G.1
Find the area of right triangles, other triangles, special quadrilaterals, and polygons
Area and perimeter of rectangles
Area and perimeter of triangles
Area and perimeter of parallelograms
CA.6.G.2
Find the volume of a right rectangular prism with fractional edge lengths
Volume of prisms
Volume of rectangular prisms word problems
Introduction to volume
CA.6.G.3
Draw polygons in the coordinate plane given coordinates for the vertices
Introduction to transformations
CA.6.G.4
Represent three-dimensional figures using nets made up of rectangles and triangles
Drawing 3D shapes
Nets of 3-dimensional shapes
Introduction to surface area of 3-dimensional shapes
Surface area of prisms
CA.6.SP.1
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers
Organizing data
Advantages and disadvantages of different graphs
CA.6.SP.2
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape
Mean
Range and outliers
Circle graphs
Reading and drawing line graphs
CA.6.SP.3
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number
Median and mode
CA.6.SP.4
Display numerical data in plots on a number line, including dot plots, histograms, and box plots
Reading and drawing histograms
Box-and-whisker plots and scatter plots
Frequency tables and dot plots
Stem and leaf plots
CA.6.SP.5
Summarize numerical data sets in relation to their context
Application of averages
Reading and drawing bar graphs
Misleading graphs
Critiquing data presentation

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