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Grade 7 Math Courses - California Curriculum

Discover comprehensive Grade 7 math courses aligned with California standards. From ratios to statistics, our curriculum guides students through key concepts, preparing them for academic success.

California Grade 7 Math Curriculum - StudyPug

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ID
Standard
StudyPug Topic
CA.7.RP.1
Compute unit rates associated with ratios of fractions
Rates with fractions
Converting among ratios, fractions and decimals
Rates
Proportions
CA.7.RP.2
Recognize and represent proportional relationships between quantities
Identifying proportional relationships
Solving linear equations by graphing
Understanding graphs of linear relationships
Understanding tables of values of linear relationships
CA.7.RP.3
Use proportional relationships to solve multistep ratio and percent problems
Applications of ratios
Applications of percents
Converting between decimals, fractions, and percents
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
CA.7.NS.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers
Introduction to integer addition
Introduction to integer subtraction
Adding integers
Subtracting integers
CA.7.NS.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers
Understanding integer multiplication
Understanding integer division
Multiplying integers
Dividing integers
CA.7.NS.3
Solve real-world and mathematical problems involving the four operations with rational numbers
Applications of integer operations
Solving problems with rational numbers in decimal form
Solving problems with rational numbers in fraction form
CA.7.EE.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients
Application of integer operations
Equivalent expressions of polynomials
CA.7.EE.2
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related
Patterns
Representing patterns in linear relations
Reading linear relation graphs
CA.7.EE.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form
Solving two-step linear equations using distributive property: a(x + b) = c
Solving two-step linear equations using addition and subtraction: ax + b = c
Order of operations (PEMDAS)
CA.7.EE.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems
Evaluating algebraic expressions
Solving one - step equations: x + a = b
Applications of linear relationships
Model and solve one-step linear equations: ax = b, x/a = b
Solving two-step linear equations using multiplication and division: x/a + b = c
CA.7.G.1
Solve problems involving scale drawings of geometric figures
Draw on coordinate planes
Scale diagrams
Cartesian plane
Horizontal and vertical distances
CA.7.G.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions
Parallel and perpendicular line segments
Perpendicular bisectors
Angle bisectors
CA.7.G.3
Describe the two-dimensional figures that result from slicing three-dimensional figures
Nets of 3-dimensional shapes
Introduction to surface area of 3-dimensional shapes
CA.7.G.4
Know the formulas for the area and circumference of a circle and use them to solve problems
Circles and circumference
Areas and sectors of circles
Arcs of a circle
CA.7.G.5
Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure
Angle relationships
Classifying triangles
Introduction to transformations
CA.7.G.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects
Surface area of prisms
Volume of prisms
Surface area of cylinders
Volume of cylinders
Introduction to volume
Word problems relating volume of prisms and cylinders
CA.7.SP.1
Understand that statistics can be used to gain information about a population by examining a sample of the population
Median and mode
Misleading graphs
Influencing factors in data collection
Data collection
CA.7.SP.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest
Mean
Critiquing data presentation
Probability
CA.7.SP.3
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities
Range and outliers
Box-and-whisker plots and scatter plots
CA.7.SP.4
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations
Application of averages
Reading and drawing line graphs
CA.7.SP.5
Understand that the probability of a chance event is a number between 0 and 1
Introduction to probability
CA.7.SP.6
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency
Comparing experimental and theoretical probability
CA.7.SP.7
Develop a probability model and use it to find probabilities of events
Organizing outcomes
Probability with Venn diagrams
CA.7.SP.8
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation
Probability of independent events
Reading and drawing Venn diagrams
Determining probabilities using tree diagrams and tables
Probability of independent events

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