Horizons

Horizons Grade Seven with Horizons Pre-Algebra

Lesson 1-40: Multiplication and division by powers of 10, Multiplications and division of decimals and fractions

Lessons 1-40: Negative exponents, powers of negative numbers, product of powers, power of a power, power of a product

  • Multiplications and division of decimals and fractions
  • Order of operations, simplifying expressions, factors
  • Prime factorization, GCF, LCM, divisibility tests
  • Signed numbers, absolute value
  • Squares and square roots, cubes and cube roots
  • Like terms, number terminology

Lessons 1-40: Negative exponents, powers of negative numbers, product of powers, power of a power, power of a product

  • Multiplications and division of decimals and fractions
  • Order of operations, simplifying expressions, factors
  • Prime factorization, GCF, LCM, divisibility tests
  • Signed numbers, absolute value
  • Squares and square roots, cubes and cube roots
  • Like terms, number terminology

Lessons 1-40: Negative exponents, powers of negative numbers, product of powers, power of a power, power of a product

  • Multiplications and division of decimals and fractions
  • Order of operations, simplifying expressions, factors
  • Prime factorization, GCF, LCM, divisibility tests
  • Signed numbers, absolute value
  • Squares and square roots, cubes and cube roots
  • Like terms, number terminology

Lessons 81-120 Functions, graphs of  functions

  • Slope, y-intercept, slope-intercept form

Lessons 1-40: Equations and inequalities with one variable

Lesson 81-120: Solving one-variable equations and inequalities

  • Solving two-variable equations, adding and subtracting equations
  • Two-variable equations with dependent and independent variables

Lesson 121-160:Adding and subtracting polynomials

  • Algebra tiles
  • Binomials, FOIL method, trinomials
  • Dividing monomials and polynomials
  • Dividing polynomials by monomials and binomials
  • Multiplying monomials and polynomials
  • Polynomial expressions
  • Pythagorean formula, right triangles
  • 30-60-90 and 45-45-90 triangles
  • Compressions, dilations, reflections, rotations, translations
  • Cosine, sine, tangent

Lesson 81-120: Parts of a circle, tangents

  • Perimeter and area of circle, square, rectangle, triangle, rhombus, parallelogram, trapezoid

Lesson 81-120: Volume, surface area, and lateral area of prism, cube, cylinder, cone,

pyramid, sphere

Lesson 81-120: Graphing coordinate points, linear equations, and inequalities
Functions, graphs of functions

Lesson 81-120: Adjacent, complementary, and supplementary angles, transversals

  • Congruent triangles and polygons, symmetry

Lesson 81-120: Parts of a circle, tangents

Lessons 41-80: Combined probabilities, mutually exclusive events

Lesson 81-120: Commission, discount, mark-up, sale price, profits, and royalties

line graphs

single-outcome probability, both theoretical and experimental

Lesson 81-120: Commission, discount, mark-up, sale price, profits, and royalties

Curricular Competencies

Reasoning/Analyzing

Understanding/Solving

Communicating/Representing

Have student engage in using mathematical vocabulary

Have student engage in discussion about  mathematical concepts

Have student engage in using mathematical vocabulary

Have student engage in discussion about mathematical concepts

Use any lessons that involve concrete, pictorial and symbolic representations

Connecting/Reflecting