**Integer and Rational numbers**

**Lesson 1: Integers**

**Session 1 (60 min) **

On the number line

Comparing integers

**Session 2 (60 min)**

Rules to add integers

Rules to subtract integers

**Session 3 (60 min)**

Rules to multiply integers

Rules to divide integers

**Session 4 (60 min) **

Order of Operations

**Lesson 2: Positive Rational Numbers**

**Session 1 (90 min) **

Divisibility rules (2, 3, 4, 5, 6, 8, 9, 10)

Least Common Multiple and Greatest Common Factor

Simplify Fractions

**Session 2 (60 min)**

Improper fractions and Mixed Number conversion

Fraction and Decimal conversion

Patterns for special fractions

**Session 3 (60 min)**

Rules to add and subtract decimal numbers

**Session 4 (60 min) **

Rules to multiply and divide decimal numbers

**Session 5 (60 min)**

Rules to add and subtract fractional numbers

**Session 6 (60 min)**

Rules to multiply and divide fractional numbers

**Lesson 3: The Four Quadrants**

**Session 1 (90 min) **

Parts to the Cartesian plane

Naming and graphing points

Analyzing graphs

**Assessment (60 min)**

80% Accuracy

**Determining Unknown Quantities**

**Lesson 1: Expressions**

**Session 1 (45 min) **

Identify parts of an expression (e.g. Terms, coefficient, exponent, etc.)

Math Properties (e.g.Associative, commutative, distributive, etc.)

**Session 2 (45 min) **

Simplify and combine like terms

**Session 3 (45 min) **

Write algebraic equations and expressions from phrases

**Lesson 2: Solve Single Step Equations and Inequalities**

**Session 1 (45 min) **

Solve single step equations with variables

**Session 2 (60 min) **

Solve single step inequalities with variables

Graph inequalities on a number line

**Assessment (60 min)**

80% Accuracy

**Relating Quantities**

**Lesson 1: Ratios**

**Session 1 (60 min) **

Meaning of ratio and the different ways to represent one

Comparing quantities in the form of a ratio

**Session 2 (60 min) **

Diagrams (double number lines, proportions, tables, graphs) are used to solve unknown values

**Lesson 2: Percent**

**Session 1 (60 min) **

Meaning of percent and converting between a percent, fraction, and decimal

**Session 2 (60 min) **

Find the whole given a percent and the part

Find the part given a percent and the whole

Find the percent given the whole and part

**Lesson 3: Unit Rates and Conversions**

**Session 1 (45 min) **

Find unit rates and unit prices to compare different ratios

**Session 2 (60 min) **

Convert metric units

Convert customary units

Convert between metric and customary

**Assessment (60 min)**

80% Accuracy