Horizons

Horizons Grade Nine with Horizons Algebra

Content

Lesson 41-80: Systems of equations, multiplying rational expressions, Adding and subtracting rational expressions

Lesson 81-120: Multiplying and dividing rational expressions

Lessons 1-40: Exponents, roots, rational exponents

Lessons 1-40: Distributive property, properties of equality, powers of 10, Adding and subtracting polynomials,

Multiplying and dividing monomials

Lesson 1-40: Coordinate plane, solving, writing, and graphing linear equations

  • Slope, standard form, slope-intercept form, point-slope form
  • Horizontal, vertical, perpendicular, and parallel lines

Lesson 41-90: Writing linear equations from graphs, Inequalities, graphing linear inequalities

Lesson 81-120: Quadratic equations

  • Solving quadratic equations by factoring, taking roots, and

completing the square

  • Quadratic formula, discriminant, zeros of a function
  • Functions, domain, range, relations
  • Quadratic functions, parabolas, conic sections
  • Graphing parabolas, directrix, focus, axis of symmetry, vertex
  • Radicals in quadratic equations
  • Graphing quadratic inequalities

Lessons 41-80:

Multiplying a polynomial by a monomial

  • Multiplying binomials and monomials
  • The FOIL method, multiplying and dividing polynomials
  • Special products of binomials, factoring by grouping
  • Dividing a polynomial by a monomial or binomial
  • Dividing a monomial by a monomial
  • Factoring common monomials, special products, and trinomials

Lessons 81-120: Quadratic formula, discriminant, zeros of a function

  • Functions, domain, range, relations
  • Quadratic functions, parabolas, conic sections
  • Graphing parabolas, directrix, focus, axis of symmetry, vertex
  • Radicals in quadratic equations
  • Graphing quadratic inequalities
  • Requires further support to cover geometry 

     

    Supplementation Required

     

    Options Here

     

Lessons 121-160: Pythagorean Theorem, hypotenuse, literal equations/square roots without a calculator, ratios, proportions

Found in Horizons Pre-Algebra:

Lessons 41-80: Combined probabilities, mutually exclusive events

Found in Horizons Pre-Algebra:

Lessons 41-80: Commission, discount, mark-up, sale price, profits, and royalties

Found in Algebra, grade 8:

Lessons 81-120: Money, simple interest, motion, mixtures

Lessons 121-160: Exponential growth, compound interest, exponential decay, work, motion and investment problems, distance formula

Curricular Competencies

Reasoning/Analyzing

Supplementation Required

Options Here

Supplementation Required

Options Here

Lessons 121-160: Pythagorean Theorem, hypotenuse, literal equations/square roots without a calculator, ratios, proportions

Supplementation required – suggestions coming soon

Supplementation Required

Options Here

Supplementation Required

Options Here

Understanding/Solving

Found in Horizons Pre-Algebra:

Lessons 41-80: Commission, discount, mark-up, sale price, profits, and royalties

Found in Algebra, grade 8:

Lessons 81-120: Money, simple interest, motion, mixtures

Lessons 121-160: Exponential growth, compound interest, exponential decay, work, motion and investment problems, distance formula

Supplementation Required

Options Here

Supplementation Required

Options Here

Found in Horizons Pre-Algebra:

Lessons 41-80: Commission, discount, mark-up, sale price, profits, and royalties

Found in Algebra, grade 8:

Lessons 81-120: Money, simple interest, motion, mixtures

Lessons 121-160: Exponential growth, compound interest, exponential decay, work, motion and investment problems, distance formula

Local First Peoples communities problem solving experiences requires support of teacher

Communicating/Representing

Supplementation Required

Options Here

Supplementation Required

Options Here

Supplementation Required

Options Here

Use math concepts related to graphing, geometry, measurements

Connecting/Reflecting

Supplementation Required

Options Here

Found in Horizons Pre-Algebra:

Lessons 41-80: Commission, discount, mark-up, sale price, profits, and royalties

Found in Algebra, grade 8:

Lesson 50: Exploring Math through Drama and Theatre

Lessons 81-120: Money, simple interest, motion, mixtures

Lessons 121-160: Exponential growth, compound interest, exponential decay, work, motion and investment problems, distance formula

Supplementation Required

Options Here