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Grade 7 Math Courses - Common Core Curriculum

Discover comprehensive Grade 7 math courses aligned with Common Core standards. From ratios and proportions to geometry and statistics, build a strong foundation for advanced mathematics.

Common Core Grade 7 Math Curriculum

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Common Core ID
Standard
StudyPug Topic
7.RP.A.1
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Rates with fractions
Rates
Proportions
7.RP.A.2
Recognize and represent proportional relationships between quantities.
Applications of ratios
Ratios
Understanding graphs of linear relationships
Understanding tables of values of linear relationships
Applications of linear relationships
7.RP.A.3
Use proportional relationships to solve multistep ratio and percent problems.
Identifying proportional relationships
Representing percents
Percents, fractions, and decimals
Percent of a number
Adding and multiplying percents
Taxes, discounts, tips and more
Simple interest
7.NS.A.1
Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
Introduction to integer addition
Adding integers
Introduction to integer subtraction
Subtracting integers
Application of integer operations
7.NS.A.2
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
Multiplying and dividing monomials
Understanding integer multiplication
Multiplying integers
Understanding integer division
Dividing integers
7.NS.A.3
Solve real-world and mathematical problems involving the four operations with rational numbers.
Applications of integer operations
Applications of fraction operations
7.EE.A.1
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Common factors of polynomials
Evaluating algebraic expressions
7.EE.A.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.
Factoring polynomials by grouping
7.EE.B.3
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form, using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Word problems of polynomials
Order of operations (PEMDAS)
7.EE.B.4
Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
Solving two-step linear equations using addition and subtraction: ax + b = c
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
Solving two-step linear equations using distributive property: a(x + b) = c
Solving one - step equations: x + a = b
7.G.A.1
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
Enlargements and reductions with scale factors
Draw on coordinate planes
Horizontal and vertical distances
7.G.A.2
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Parallel and perpendicular line segments
Classifying triangles
Perpendicular bisectors
7.G.A.3
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Nets of 3-dimensional shapes
7.G.B.4
Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
Circles and circumference
Arcs of a circle
Areas and sectors of circles
7.G.B.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 bisectors
7.G.B.6
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Volume of prisms
Introduction to surface area of 3-dimensional shapes
Surface area of prisms
Introduction to volume
Volume of cylinders
Word problems relating volume of prisms and cylinders
Surface area of cylinders
7.SP.A.1
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population.
Organizing data
Influencing factors in data collection
Data collection
7.SP.A.2
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest.
Reading and drawing bar graphs
7.SP.B.3
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
Box-and-whisker plots and scatter plots
7.SP.B.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
Median and mode
Mean
Range and outliers
7.SP.C.5
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.
Introduction to probability
7.SP.C.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, and predict the approximate relative frequency given the probability.
Organizing outcomes
7.SP.C.7
Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
Probability of independent events
7.SP.C.8
Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation.
Comparing experimental and theoretical probability
Determining probabilities using tree diagrams and tables
Probability of independent events
Probability with Venn diagrams

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