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7th Grade · Math · Open Global Math
3D Visualization: Orthographic Views, Nets, and Cross-Sections
Track 1 of 10 · 7 lessons
7 lessons
Represent 3D objects with front/top/side orthographic projections, nets, isometric drawings, and plane cross-sections.
Featured Diagrams
- 1Identifying Prisms, Pyramids, Cylinders, and ConesUp nextStart
- 2Drawing Orthographic Views: Front, Top, and Side ProjectionsPremiumNot started yet
- 3Reconstructing 3D Solids from Orthographic ViewsNot started yet
- 4Unfolding and Constructing Nets of Prisms and CylindersNot started yet
- 5Unfolding and Constructing Nets of Pyramids and ConesNot started yet
- 6Parallel and Perpendicular Cross-Sections of Prisms and CylindersNot started yet
- 7Slicing and Plane Cross-Sections of Pyramids and ConesNot started yet
Addition and Subtraction of Rational Numbers
Track 2 of 10 · 8 lessons
8 lessons
Add and subtract signed fractions and decimals, interpret subtraction as adding the opposite, and calculate distance as |p - q|.
Featured Diagrams
- 1Adding Rational Numbers with Same and Different SignsUp nextStart
- 2Interpreting Subtraction as Adding the Additive InversePremiumNot started yet
- 3Subtracting Positive and Negative Fractions and Mixed NumbersNot started yet
- 4Subtracting Positive and Negative DecimalsNot started yet
- 5Distance Between Two Rational Numbers on a Number LineNot started yet
- 6Applying Commutative and Associative Properties to Rational AdditionNot started yet
- 7Multi-Step Addition and Subtraction with Decimal NumbersNot started yet
- 8Solving Multi-Step Real-World Additive Problems with Rational NumbersNot started yet
Algebraic Expressions and Polynomial Operations
Track 3 of 10 · 12 lessons
12 lessons
Formulate, simplify, expand, and factor linear and polynomial expressions with rational coefficients using properties of operations.
Featured Diagrams
- 1Identifying Terms, Coefficients, Variables, and ConstantsUp nextStart
- 2Evaluating Algebraic Expressions with Rational NumbersPremiumNot started yet
- 3Combining Like Terms with Integer CoefficientsNot started yet
- 4Combining Like Terms with Fractions and DecimalsNot started yet
- 5Applying the Distributive Property with Rational NumbersNot started yet
- 6Expanding Expressions with Negative Signs and ParenthesesNot started yet
- 7Adding and Subtracting Linear ExpressionsNot started yet
- 8Expanding Binomial Products Using the Distributive PropertyNot started yet
- 9Factoring Linear Expressions Using Greatest Common FactorNot started yet
- 10Factoring Linear Expressions with Rational CoefficientsNot started yet
- 11Simplifying Multi-Step Expressions with Nested GroupingNot started yet
- 12Modeling Real-World Scenarios with Algebraic ExpressionsNot started yet
Angle Relationships and Parallel Lines
Track 4 of 10 · 9 lessons
9 lessons
Identify and calculate unknown angles using complementary, supplementary, vertical, and parallel line transversal relationships with algebraic equations.
Featured Diagrams
- 1Identifying Adjacent, Complementary, and Supplementary AnglesUp nextStart
- 2Finding Unknown Angles Using Complementary and Supplementary RulesPremiumNot started yet
- 3Vertical Angles and Linear PairsNot started yet
- 4Solving Linear Equations with Intersecting Lines and Angle PairsNot started yet
- 5Parallel Lines and Transversals: Alternate Interior and Exterior AnglesNot started yet
- 6Alternate, Corresponding, and Co-Interior Angles on Parallel LinesNot started yet
- 7Solving Multi-Step Algebraic Equations with Parallel Lines and TransversalsNot started yet
- 8Proving Lines Are Parallel Using Angle RelationshipsNot started yet
- 9Combining Parallel Line Rules with Triangles and QuadrilateralsNot started yet
Applied Problem Solving with Rational and Real Numbers
Track 5 of 10 · 5 lessons
5 lessons
Solve complex, multi-step real-world problems combining fractions, decimals, signed numbers, exponents, and estimation.
Featured Diagrams
- 1Multi-Step Problems with Rational NumbersUp nextStart
- 2Mixed Operations with Rational Numbers: Real-World ProblemsPremiumNot started yet
- 3Multi-Step Real-World Problems with Fractions, Decimals, and PercentsNot started yet
- 4Modelling Real-World Problems with Rational NumbersNot started yet
- 5Evaluating Precision and Error in Multi-Step MeasurementsNot started yet
Approximating Irrationals and the Real Number Continuum
Track 6 of 10 · 6 lessons
6 lessons
Estimate the value of irrational square roots using rational bounds, place irrationals on number lines, and solve geometric radical problems.
Featured Diagrams
- 1Bounding Square Roots Between Consecutive IntegersUp nextStart
- 2Approximating Irrational Numbers with Rational BoundsPremiumNot started yet
- 3Approximating Cube Roots of Non-Perfect CubesNot started yet
- 4Plotting and Ordering Real Numbers on a Continuous Number LineNot started yet
- 5Comparing Irrational Expressions Without CalculatorsNot started yet
- 6Real-World Problems with Square and Cube RootsNot started yet
Area of Circles, Sectors, and Composite 2D Shapes
Track 7 of 10 · 7 lessons
7 lessons
Derive circle area, calculate sector and segment areas, and solve perimeter and area for composite plane figures.
Featured Diagrams
- 1Deriving the Formula for the Area of a CircleUp nextStart
- 2Calculating Areas of Circles and AnnuliPremiumNot started yet
- 3Area of Composite Figures: Sectors of CirclesNot started yet
- 4Calculating Areas of Circular SegmentsNot started yet
- 5Area and Perimeter of Composite Figures with Circles and SectorsNot started yet
- 6Calculating Areas of Polygons with Subtracted RegionsNot started yet
- 7Solving Real-World Composite Area and Perimeter ProblemsNot started yet
Career Paths, Education Financing, and Lifetime Earnings
Track 8 of 10 · 5 lessons
5 lessons
Analyze post-secondary education costs, financing options, and the mathematical relationship between educational attainment and lifetime earnings.
Featured Diagrams
- 1Analyzing Methods to Pay for Post-Secondary EducationUp nextStart
- 2Using Technology to Compare College Savings OptionsPremiumNot started yet
- 3Calculating the Cost of Student Loans and RepaymentNot started yet
- 4Comparing Career Salaries Across Education LevelsNot started yet
- 5Evaluating Lifetime Earnings and Return on InvestmentNot started yet
Circle Foundations, Pi, Circumference, and Arcs
Track 9 of 10 · 9 lessons
9 lessons
Define pi, calculate circumference and arc length, and analyze chords, tangents, and central and inscribed angles.
Featured Diagrams
- 1Defining Circles, Radii, Diameters, and PiUp nextStart
- 2Calculating Circumference Using Exact and Approximate Values of PiPremiumNot started yet
- 3Central Angles and Arc MeasureNot started yet
- 4Calculating Arc Length as a Fraction of CircumferenceNot started yet
- 5Chords and Perpendicular Bisector Properties in CirclesNot started yet
- 6Tangent Lines and Radius PerpendicularityNot started yet
- 7Equal Tangents from an External Point: Theorem and ProofNot started yet
- 8Inscribed Angle Theorem and CorollariesNot started yet
- 9Angles Formed by Tangents, Secants, and ChordsNot started yet
Comparative Data Analysis and Population Inferences
Track 10 of 10 · 6 lessons
6 lessons
Compare two numeric distributions visually and numerically, quantifying center separation as a multiple of variability to draw informal comparative inferences.
Featured Diagrams
- 1Comparing Two Data Sets Using Back-to-Back Stem-and-Leaf DiagramsUp nextStart
- 2Comparing Distributions with Parallel Dot PlotsPremiumNot started yet
- 3Constructing and Comparing Distributions Using Box PlotsNot started yet
- 4Measuring Difference Between Centers as a Multiple of MADNot started yet
- 5Measuring Difference Between Medians as a Multiple of IQRNot started yet
- 6Drawing Informal Comparative Inferences About Two PopulationsNot started yet