Grades
7th grade
Students expand their understanding of basic concepts in algebra and geometry. They work with algebraic expressions, linear equations, and systems of equations, and become familiar with elements of combinatorics. Basic geometry concepts, including triangles, are also introduced.
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- Converting a sum to a productStart
- Writing a product in exponent formStart
- Writing and simplifying a product in exponent formStart
- Calculating the power of a numberStart
- Writing a number in standard formStart
- Writing a number as a sum of place valuesStart
- Calculating powers of negative numbersStart
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- Multiplying exponents with the same baseStart
- Dividing exponents with the same baseStart
- Raising an exponent to another exponentStart
- Raising a product to an exponentStart
- Raising a fraction to an exponentStart
- Writing numbers in exponent formStart
- Comparing numbers in exponent formStart
- Finding the number of trailing zeros in a productStart
- Finding the last digit of an expression's valueStart
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- Multiplying a monomial by a polynomialStart
- Simplifying expressions: Multiplying a monomial by a polynomialStart
- Finding the power of a polynomialStart
- Multiplying polynomialsStart
- Simplifying expressions: Multiplying polynomialsStart
- Finding the numerical value of a polynomialStart
- Dividing a polynomial by a monomialStart
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- Formula for the square of a sumStart
- Formula for the square of a differenceStart
- Finding the square of numbersStart
- Simplifying expressions: Formulas for the square of a sum and differenceStart
- Equations: Formulas for the square of a sum and differenceStart
- Formula for the difference of squaresStart
- Performing a product: Formula for the difference of squaresStart
- Factoring: Formula for the difference of squaresStart
- Simplifying expressions: Formula for the difference of squaresStart
- Numerical expressions: Finding the difference of squaresStart
- Equations: Formula for the difference of squaresStart
- Formula for the cube of a sumStart
- Formula for the cube of a differenceStart
- Representing in polynomial form: Formulas for the cube of a sum and differenceStart
- Simplifying expressions: Formulas for the cube of a sum and differenceStart
- Numerical expressions: Formulas for the cube of a sum and differenceStart
- Formula for the sum of cubesStart
- Formula for the difference of cubesStart
- Performing a product: Formulas for the sum and difference of cubesStart
- Factoring: Formulas for the sum and difference of cubesStart
- Simplifying expressions: Formulas for the sum and difference of cubesStart
- Numerical expressions: Formulas for the sum and difference of cubesStart
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- Creating tablesStart
- Drawing the graph of a functionStart
- Identifying the quadrants of a function's graphStart
- Writing the formula for a linear function based on its graphStart
- Finding the zeros of a functionStart
- Finding the intersection points of a function with the coordinate axesStart
- Constructing a function through pointsStart
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- Basic principles of combinatorics: Addition principleStart
- Basic principles of combinatorics: Multiplication principleStart
- Understanding factorialsStart
- Types of combinatorial problems: PermutationsStart
- Types of combinatorial problems: CombinationsStart
- Methods for solving combinatorial problems: Graphical methodStart
- Methods for solving combinatorial problems: Tree diagramStart
- Methods for solving combinatorial problems: TablesStart
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- Angle vocabularyStart
- Measuring anglesStart
- Comparing anglesStart
- Angle bisectorStart
- Units of angle measurementStart
- Operations with units of angle measurementStart
- Angles: ProblemsStart
- Types of anglesStart
- Adjacent anglesStart
- Vertical anglesStart
- Finding an unknown angleStart
- Completing sentencesStart
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- Perpendicular linesStart
- Parallel linesStart
- Oblique linesStart
- Angles formed by the intersection of two straight linesStart
- Angles formed by two straight lines and a transversalStart
- Conditions for the parallelism of two straight linesStart
- Angles formed by two parallel lines and a transversalStart
- Completing sentencesStart
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- Types of triangles by their sidesStart
- Types of triangles by their anglesStart
- Median, altitude, and angle bisector of a triangleStart
- Congruence of triangles: SAS (Side-Angle-Side) criterionStart
- Congruence of triangles: SAS criterion: ProblemsStart
- Congruence of triangles: ASA (Angle-Side-Angle) criterionStart
- Congruence of triangles: ASA criterion: ProblemsStart
- Congruence of triangles: SSS (Side-Side-Side) criterionStart
- Congruence of triangles: SSS criterion: ProblemsStart
- Sum of interior angles of a triangleStart
- Exterior angle property of a triangleStart
- Angles in triangles: ProblemsStart
- Types of triangles: Isosceles triangleStart
- Types of triangles: Equilateral triangleStart
- Types of triangles: Right triangleStart
- Relationships between the sides and angles of a triangleStart
- Triangle inequalitiesStart
- Completing sentencesStart
- Completing sentencesStart
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