# Horizons Math

## Grade Seven Content

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

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

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

## Curricular Competencies

### Reasoning/Analyzing

Supplementation required – suggestions coming soon

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

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

### Understanding/Solving

Can be covered through discussion regarding topics such as commission, discount, financial literacy that is applicable to differing cultural perspectives

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

### 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

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon

Supplementation required – suggestions coming soon