# Horizons

## Content

#### perfect squares and cubes

Lessons 1-40: Squares and square roots, cubes and cube roots

#### square and cube roots

Pre-Algebra, Grade 7: Lesson 121-160: Pythagorean formula, right triangles

Horizons Algebra, Grade 8: Lesson 121-160: Square roots without a calculator, ratios, proportions/Pythagorean Theorem, hypotenuse, literal equations

#### percents less than 1 and greater than 100 (decimal and fractional percents)

Lessons 41-80: percent decrease and increase/percents greater than 100 and less than 1

#### numerical proportional reasoning (rates, ratio, proportions, and percent)

Lessons 41-80: percent decrease and increase/percents greater than 100 and less than 1/Ratios and proportions, scale drawings

#### operations with fractions (addition, subtraction, multiplication, division, and order of operations)

Lessons 41-80:

Addition and subtraction of decimals, fractions, mixed numbers/Multiplications and division of decimals and fractions/Order of operations, simplifying expressions, factors

#### discrete linear relations (extended to larger numbers, limited to integers)

Supplementation Required

#### expressions- writing and evaluating using substitution

Lessons 41-80: Equations and inequalities with one variable

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

Algebra, Grade 8: Lessons 1-40: Algebraic expressions and equations

#### two-step equations with integer coefficients, constants, and solutions

Grade 7: Lessons 81-120: Solving two-variable equations, adding and subtracting equations/Two-variable equations with dependent and independent variables

Lesson 121-160: Adding and subtracting polynomials

#### surface area and volume of regular solids, including triangular and other right prisms and cylinders

Pre-Algebra, Grade 7:  Lessons 81-120: Nets of solid figures/Parts of a circle, tangents/Perimeter and area of circle, square, rectangle, triangle, rhombus, parallelogram, trapezoid

#### Pythagorean theorem

Supplementation Required

#### construction, views, and nets of 3D objects

Pre-Algebra, Grade 7: Lessons 81-120: Nets of solid figures/Parts of a circle, tangents/Perimeter and area of circle, square, rectangle, triangle, rhombus, parallelogram, trapezoid

#### theoretical probability with two independent events

Pre-Algebra, Grade 7: Lesson 41-80: Probability and odds, odds against and odds in favor

#### financial literacy — best buys

Supplementation Required

## 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

Supplementation Required

#### Demonstrate and apply mental math strategies

Supplementation Required

#### 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

Supplementation Required

#### 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

Supplementation Required

### 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

Supplementation Required

### Connecting/Reflecting

#### Reflect on mathematical thinking

Supplementation Required

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

Supplementation Required

#### Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts

Supplementation Required