# UnLock Math Curriculum

Pre-algebra uses the fundamental skills learned in foundations to build an understanding of the basic concepts in algebra.

## Curriculum

## Pre-Algebra

Two new number concepts are introduced: the integers and the rational numbers. Students learn the difference between a number and a variable, and how to solve simple equations with one variable. Students will gain further practice with decimals and percent, and solve problems involving simple and compound interest. Simple polynomials are introduced, which students will learn to add, subtract, and use the distributive property to multiply.

Unit 1

### Whole Numbers

- 1.1 Introduction to Whole Numbers
- 1.2 Place Value of Whole Numbers
- 1.3 Rounding Whole Numbers
- 1.4 Roman Numerals
- 1.5 Patterns

Unit 2

### Integers

- 2.1 Introduction to Integers
- 2.2 Integers & Absolute Value
- 2.3 Graphing Integers on a Number Line
- 2.4 Comparing & Ordering Integers
- 2.5 Adding Integers
- 2.6 Subtracting Integers
- 2.7 Multiplying Integers
- 2.8 Dividing Integers

Unit 3

### Variables and Expressions

- 3.1 Introduction to Variables & Expressions
- 3.2 Writing Expressions
- 3.3 Evaluating Expressions
- 3.4 Order of Operations
- 3.5 Equivalent Expressions
- 3.6 Evaluating Expressions using Substitution
- 3.7 Properties of Real Numbers
- 3.8 Like Terms
- 3.9 Distributive Property

Unit 4

### Rational Numbers

- 4.1 Introduction to Rational Numbers
- 4.2 Divisibility
- 4.3 Factors & Multiples
- 4.4 Prime Numbers
- 4.5 Prime Factors
- 4.6 Exponents
- 4.7 Greatest Common Factor
- 4.8 Least Common Multiple

Unit 5

### Fractions

- 5.1 Introduction to Fractions
- 5.2 Equivalent Fractions & Simplifying
- 5.3 Mixed Numbers & Improper Fractions
- 5.4 Multiplying Fractions
- 5.5 Reciprocals
- 5.6 Fractions - Relating Multiplication & Division
- 5.7 Fractions - Cancelling to Simplify Multiplication
- 5.8 Adding & Subtracting with Like Denominators
- 5.9 Comparing Fractions
- 5.10 Adding & Subtracting with Unlike Denominators

Unit 6

### Equations

- 6.1 Introduction to Equations
- 6.2 Problem Solving with Equations
- 6.3 Solving Equations Using Addition & Subtraction
- 6.4 Solving Equations Using Multiplication & Division
- 6.5 Solving Equations Using Reciprocals
- 6.6 Solving Multi-Step Equations with Variables on Both Sides
- 6.7 Solving Multi-Step Equations with Fractions
- 6.8 Writing Equations

Unit 7

### Inequalities

- 7.1 Introduction to Inequalities
- 7.2 Graphing Inequalities on a Number Line
- 7.3 Adding & Subtracting Inequalities
- 7.4 Multiplying & Dividing Inequalities
- 7.5 Conjunctions & Disjunctions
- 7.6 Solving Inequalities

Unit 8

### The Coordinate Plane

- 8.1 Introduction to the Coordinate Plane
- 8.2 Graphing a Coordinate Point
- 8.3 Using a Table of Values
- 8.4 First Differences
- 8.5 X and Y Intercepts & Standard Form
- 8.6 Classifying Slope
- 8.7 Calculating Slope
- 8.8 Slope-Intercept Form
- 8.9 Graphing Inequalities
- 8.10 Changing Forms: Standard to Slope

Unit 9

### Decimals

- 9.1 Introduction to Decimals
- 9.2 Decimals and Estimation
- 9.3 Decimals to Fractions
- 9.4 Fractions to Decimals
- 9.5 Scientific Notation
- 9.6 Repeating & Terminating Decimals

Unit 10

### Percent

- 10.1 Introduction to Percent
- 10.2 Decimals and Percent
- 10.3 Finding Percent of a Number
- 10.4 Simple Interest
- 10.5 Compound Interest
- 10.6 Discount Solving Percent Equations
- 10.7 Percent of Change

Unit 11

### Polynomials

- 11.1 Introduction to Polynomials
- 11.2 Adding Polynomials
- 11.3 Subtracting Polynomials
- 11.4 Multiplying Polynomials
- 11.5 Common Factoring

Unit 12

### Triangles

- 12.1 Introduction to Triangles
- 12.2 Triangle Classifications
- 12.3 Square Roots
- 12.4 Pythagorean Theorem

Unit 13

### 2D Geometry

- 13.1 Introduction to 2D Geometry
- 13.2 Parallel & Perpendicular Lines
- 13.3 Classifying Polygons
- 13.4 Interior Angles of Polygons
- 13.5 Exterior Angles of Polygons
- 13.6 Perimeter
- 13.7 Area
- 13.8 Circumference of a circle
- 13.9 Area of a Circle
- 13.10 Area of Irregular Shapes
- 13.11 Perimeter of Irregular Shapes

Unit 14

### 3D Geometry

- 14.1 Introduction to 3D Geometry
- 14.2 Surface Area of a Rectangular Prism
- 14.3 Surface Area of Pyramids
- 14.4 Surface Area of Cylinders
- 14.5 Volume of Rectangular Prisms
- 14.6 Volume of Cylinders & Triangular Prisms
- 14.7 Volume of Pyramids & Cones
- 14.8 Volume and Surface Area of a Sphere

Unit 15

### Analyzing Data

- 15.1 Introduction to Analyzing Data
- 15.2 Line Graphs and Pictographs
- 15.3 Bar Graphs
- 15.4 Stem-and-Leaf Plots
- 15.5 Measures of Central Tendency Part I
- 15.6 Measures of Central Tendency Part II
- 15.7 Box-and-Whisker Plots
- 15.8 Circle Graphs

Unit 16

### Probability and Statistics

- 16.1 Introduction to Probability & Statistics
- 16.2 Ratio and Proportion
- 16.3 Unit Rate and Proportion
- 16.4 Simple Probability
- 16.5 Independent Events
- 16.6 Dependent Events
- 16.7 Fundamental Counting Principle