# UnLock Math Curriculum

Foundations prepare students for the topics in algebra by teaching them the most basic and fundamental skills in mathematics.

## Curriculum

## Foundations

This course is designed to bring students of all skill levels up to speed on the knowledge required for Pre-Algebra. By the end of this course, students will be confident in using regrouping when adding, subtracting and multiplying large numbers by hand. Students will also learn the fundamental properties of exponents and how to solve multi-step problems using the correct order of operations.

Unit 1

### Number Sense

- 1.1 Introduction to Numbers
- 1.2 Base Ten
- 1.3 Natural and Whole Numbers
- 1.4 Comparing
- 1.5 Place Value Part One
- 1.6 Place Value Part Two
- 1.7 Rounding
- 1.8 Estimating

Unit 2

### Operations With Numbers

- 2.1 Introduction to Addition and Subtraction
- 2.2 Multi-Digit Addition
- 2.3 Multi-Digit Addition Part 2
- 2.4 Multi-Digit Subtraction
- 2.5 Multi-Digit Subtraction Part 2
- 2.6 Introduction to Multiplication
- 2.7 Multiplying 10's, 100's, & 1000's
- 2.8 Multi-Digit Multiplication
- 2.9 Multiplying 2-digit Numbers
- 2.10 Multiplying 3-Digit Numbers

Unit 3

### Division

- 3.1 Introduction to Division
- 3.2 Simple Division
- 3.3 Long Division
- 3.4 Long Division with 3 & 4 Digits
- 3.5 Division with Remainders
- 3.6 Division with Remainders Part 2

Unit 4

### Integers

- 4.1 Introduction to Integers
- 4.2 Integers on a Number Line
- 4.3 Comparing Integers
- 4.4 Absolute Value
- 4.5 Adding Integers
- 4.6 Subtracting Integers
- 4.7 Multiplying Integers
- 4.8 Dividing Integers

Unit 5

### Exponents

- 5.1 Introduction to Exponents
- 5.2 Expanded and Exponential Form Part 1
- 5.3 Expanded and Exponential Form Part 2
- 5.4 Calculating Exponents
- 5.5 Negative Numbers with Exponents
- 5.6 Exponents of 1 and 0
- 5.7 Exponents in the Real World

Unit 6

### Order of Operations

- 6.1 Intro to Order of Operations
- 6.2 Parentheses & Brackets
- 6.3 Commutative Property of Addition
- 6.4 Commutative Property of Multiplication
- 6.5 Associative Property
- 6.6 Fact Families

Unit 7

### Factors and Multiples

- 7.1 Factors
- 7.2 Prime Factorization
- 7.3 Greatest Common Factor
- 7.4 Multiples
- 7.5 Lowest Common Multiples
- 7.6 Divisibility
- 7.7 Divisibility Part 2

Unit 8

### Fractions

- 8.1 Introduction to Fractions
- 8.2 Equivalent Fractions
- 8.3 Simplifying Fractions
- 8.4 Comparing Fractions
- 8.5 Ordering Fractions
- 8.6 Adding and Subtracting Fractions
- 8.7 Adding and Subtracting Fractions Part 2
- 8.8 Multiplying Fractions
- 8.9 Dividing Fractions
- 8.10 Dividing with Reciprocals

Unit 9

### Mixed and Improper Fractions

- 9.1 Introduction to Mixed and Improper Fractions
- 9.2 Converting Mixed to Improper Fractions
- 9.3 Converting Improper to Mixed Fractions
- 9.4 Comparing Improper and Proper Fractions
- 9.5 Comparing Improper and Mixed Fractions
- 9.6 Adding and Subtracting Improper Fractions
- 9.7 Adding and Subtracting Mixed Fractions
- 9.8 Adding and Subtracting Mixed Fractions Part 2
- 9.9 Multiplying Improper and Mixed Fractions
- 9.10 Dividing Improper and Mixed Fractions

Unit 10

### Decimals

- 10.1 Introduction to Decimals
- 10.2 Place Value of Decimals
- 10.3 Rounding Decimals
- 10.4 Comparing Decimals
- 10.5 Adding Decimals
- 10.6 Subtracting Decimals
- 10.7 Multiplying Decimals
- 10.8 Dividing Decimals
- 10.9 Dividing Numbers Without Remainders
- 10.10 Terminating and Repeating Decimals
- 10.11 Converting Fractions to Decimals
- 10.12 Converting Decimals to Fractions
- 10.13 Rational and Irrational Numbers

Unit 11

### Ratio and Percent

- 11.1 Intro to Ratios
- 11.2 Ratio and Proportion
- 11.3 Unit Rate
- 11.4 Unit Price
- 11.5 Percent
- 11.6 Percent Part 2
- 11.7 Finding Percent of a Number
- 11.8 Discounts, Sales and Tax

Unit 12

### Geometry

- 12.1 Intro to Geometry
- 12.2 Points, Lines and Lengths
- 12.3 Measuring Angles
- 12.4 Types of Angles
- 12.5 Triangles
- 12.6 Squares & Rectangles
- 12.7 Rhombuses & Parallelograms
- 12.8 Perimeter
- 12.9 Introduction to Area
- 12.10 Area of Squares and Rectangles
- 12.11 Area of Triangles

Unit 13

### Data Management

- 13.1 Introduction to Data Management
- 13.2 Mode
- 13.3 Median
- 13.4 Mean
- 13.5 Pictographs
- 13.6 Bar Graphs
- 13.7 Line Graphs
- 13.8 Scatter Plots
- 13.9 Stem and Leaf Plots