Horizons

Content

operations with rational numbers (addition, subtraction, multiplication, division, and order of operations)

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

Lesson 81-120: Multiplying and dividing rational expressions

exponents and exponent laws with whole-number exponents

Lessons 1-40: Exponents, roots, rational exponents

operations with polynomials, of degree less than or equal to 2

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

Multiplying and dividing monomials

two-variable linear relations, using graphing, interpolation, and extrapolation

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

• 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

multi-step one-variable linear equations

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

spatial proportional reasoning

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
• Requires further support to cover geometry

Supplementation Required

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

statistics in society

Found in Horizons Pre-Algebra:

Lessons 41-80: Combined probabilities, mutually exclusive events

financial literacy — simple budgets and transactions

Found in Horizons Pre-Algebra:

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

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

Use logic and patterns to solve puzzles and play games

Supplementation Required

Use reasoning and logic to explore, analyze, and apply mathematical ideas

Supplementation Required

Estimate reasonably

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

Demonstrate and apply mental math strategies

Supplementation required – suggestions coming soon

Use tools or technology to explore and create patterns and relationships, and test conjectures

Supplementation Required

Model mathematics in contextualized experiences

Supplementation Required

Understanding/Solving

Apply multiple strategies to solve problems in both abstract and contextualized situations

Found in Horizons Pre-Algebra:

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

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

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

Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving

Supplementation Required

Visualize to explore mathematical concepts

Supplementation Required

Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures

Found in Horizons Pre-Algebra:

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

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

Use mathematical vocabulary and language to contribute to mathematical discussions

Supplementation Required

Explain and justify mathematical ideas and decisions

Supplementation Required

Communicate mathematical thinking in many ways

Supplementation Required

Represent mathematical ideas in concrete, pictorial, and symbolic forms

Use math concepts related to graphing, geometry, measurements

Connecting/Reflecting

Reflect on mathematical thinking

Supplementation Required

Connect mathematical concepts to each other and to other areas and personal interests

Found in Horizons Pre-Algebra:

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