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

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

Supplementation Required

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

Supplementation required – suggestions coming soon

Supplementation Required

Supplementation Required

### 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

Supplementation Required

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

Supplementation Required

Supplementation Required

Use math concepts related to graphing, geometry, measurements

### Connecting/Reflecting

Supplementation Required

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

Supplementation Required