Math Fundamentals 100
Introduction
Welcome to your Math Course! In this course, we will explore basic mathematical concepts in a fun and interacive way.
Lesson 1: Basic Algebra
This lesson covers writing basic expressions: sums, differences, products and quotients.
Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. Sometimes in math, we describe an expression with a phrase. For example, the phrase "two more than five" can be written as the expression 5+2.
Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression, an expression with a variable. For example,"three more than X" can be written as the algebraic expression x+3 .
| Operation | Words | Example |
|---|---|---|
| Addition | Plus, sum, more than, increased by | x + 3 |
| Subtraction | minus, difference, less than, decreased by | p - 6 |
| Multiplication | Times, product | 8K |
| Division | Divided, quotient | a ÷9 |
Algebraic Expressions Activity
Scenario 1:
Let x represent the number of apples. Write an algebraic expression for the total number of apples if 5 more apples are added to the existing number.
Algebraic Expression:
Scenario 2:
Let y represent the number of pencils. Write an algebraic expression for the number of pencils after 3 pencils are taken away.
Algebraic Expression:
Lesson 2: Geometry
This lesson covers basic shapes, their properties, and basic geometric concepts.
Angles Introduction
Lines, Line Segments, Rays, and Angles Activity
1. What is a straight path that goes on forever in both directions?
2. What is a part of a line with two endpoints?
3. What is a part of a line with one endpoint and goes on forever in one direction?
4. What do we call the opening between two lines or line segments that meet at a common point?
Lesson 3: Measurement
This lesson covers length, mass and capacity in metric units.
Converting Metric Units of Measure Recall that the metric system is the system of measurement primarily used in science and in countries outside of the United States.
In the metric system, the base unit of length is the meter (m). The base unit of mass is the gram (g). The base unit of capacity is the liter (L). The same prefixes are used throughout the metric system.The prefix of each unit of measurement indicates how that unit relates to the base unit. “milli” means one thousandth. For example, there are 1000 millimeters in 1 meter. “centi” means one hundredth. For example, there are 100 centimeters in 1 meter. “kilo” means one thousand. For example, there are 1000 meters in 1 kilometer. The metric system is based on powers of 10 just like our number system. To move between different units of length, mass, and capacity all you need to do is move the decimal point.