Math Lesson View

Math Lesson View 2018-01-16T18:34:28-05:00

Absolutely

The purpose of this lesson is to name integers and rational numbers with their opposites as well as represent situations with integers and rational numbers using number lines, being able to describe 0 in each situation.  Students will be learning skills needed by computer programmers, such as paying attention to detail and problem solving.

GED Content Areas

  • Number and Ratios

Add and Subtract Integers

This lesson introduces students to the concepts of negative numbers and how to add and subtract with integers. This will help students understand situations in which negative numbers apply as well as get students started with reasoning using abstract concepts.

GED Content Areas

  • Number and Ratios

Adding Integers

All students need to learn to add positive and negative since they may have to handle a budget while working a job, or in their own personal life. Students may start with a negative budget and it will be their job to make sure the project they are working on ends with a positive balance. So it would be important for students to know how to work with positive and negative numbers.

GED Content Areas

  • Number and Ratios

Analyze Proportional Relationships (Scale Factors)

The purpose of this lesson is to teach students how to use and determine scale factors for models and maps. The students will realize the importance of scale factors and how they are used in daily life. The students will see how map scales are used in order for us to know how far it is to a destination as well as the importance of scale factors used in construction.

GED Content Areas

  • Number and Ratios

Banking Accounts

Students will be able to differentiate between banking accounts and calulate deductions and deposits. 

GED Content Areas

  • Number and Ratios

Budgeting with Math

The purpose of this lesson is to equip students with the knowledge needed to be able to budget their money wisely.  They need to be able to shop for groceries, cleaning supplies, and hygiene items without overspending.  They also need to be able to see how much money they are bringing in and how much they are spending and budget accordingly.  This lesson is also beneficial for working in retail stores.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Budgeting: Learning to Manage Money to Achieve Your Goals

The purpose of this lesson is for students to learn the importance of budgeting from a monthly income and analyzing common monthly expenses in order to select a career that will allow them a reasonable standard of living. This lesson aims to motivate students to further their education and set career and financial goals.

 

 

GED Content Areas

  • Number and Ratios

Calculating Percent in Real-Life Situations

The purpose of this lesson is for students to be able to proficiently work with percent problems in real world situations.  After this lesson, students will be more informed consumers and will be able to use these skills as needed for work and life.

GED Content Areas

  • Number and Ratios

Checkbook Integers

Students will be able to apply their knowledge of addition and subtraction of rational numbers to complete a computerized check register so that they will be able to accurately maintain workplace financial documents. Not only will this help from a business standpoint, but this will also help them in their personal lives as they will be able to keep transaction records of their own accounts.

GED Content Areas

  • Number and Ratios

  • Number and Ratios

  • Number and Ratios

  • Number and Ratios

Combining Operations

The purpose of this lesson will give students an idea of how important it is to follow procedures and directions for any given task.  When combining operations, if you do not follow the correct order, you may get an incorrect answer.  It is also important for everyone on your team to be on the same page in regards to procedural understanding in order to communicate effectively, relating directly to the workplace. Students will have to know how to follow procedures when given tasks in the healthcare field, such as operating special equipment or how to administer an IV. This also builds a foundation for later work in algebraic expressions and equations.

GED Content Areas

  • Number and Ratios

Converting Fractions to Decimals and Decimals to Fractions

Students need to be able to convert fractions to decimals and decimals to fractions in order to possess the necessary skills to be employed in construction and trades careers. This lesson attempts to build the students’ employability skills by strengthening their number sense and fluency with fraction and decimal conversions.

The lesson purpose should be stated to students in the introduction of the lesson.

 

 

GED Content Areas

  • Number and Ratios

Exponents, Roots, and Scientific Notation

This lesson will introduce exponents and roots to the students and give them practice in using scientific notation as a real application of exponents.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Finding the Unknown Percent, Part, or Whole for Trade Jobs

Students need to be able to work with percents as they relate to trade jobs in order to improve their employability skills. Specifically, students will learn to solve word problems that ask for an unknown percent, part, or whole. These calculations are imperative to ensure trade jobs are performed correctly.

 

 

GED Content Areas

  • Number and Ratios

Grid and Battleship

The purpose of this lesson is to familiarize students with the coordinate plane, so that they can accurately plot points on a graph.

GED Content Areas

  • Number and Ratios

Hospital Beds, Nurse’s Aides, and the Future

The purpose of this lesson is for the student to research and present to others the long-term health care options in their locale from the perspective of a potential patient, healthcare worker, and employer.  The lesson will require locating information from various sources, interpreting charts and graphs, improving communication skills, and making cross-curricular connections into math, social studies and science.  Furthermore, this lesson could be used to demonstrate research and presentation skills (either in written editorial or orally in a civic group meeting) necessary to lobby for improved work conditions and improved health care in their community.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Introduction to Circles

The purpose of this lesson is to teach students to measure and compare the ratio of circumference to diameter of circles and to identify the relationships between the parts of a circle. Also, students will form generalizations about employment opportunities such as quilting, jewelry making, manufacturing of ball bearings, car rims and wheels, sports equipment, and skilled jobs such as, plumbing, construction, machinist, etc.

GED Content Areas

  • Number and Ratios

  • Geometry

Introduction to Signed Numbers

The purpose of this lesson is to help students understand how increases and decreases are expressed and how to combine them. For instance, positive numbers show improvements, profit, or distance above zero. Negative numbers on the other hand show losses, decreasing values, and distance below zero. Being able to understand these values independently and by combining these values through addition and subtraction is a VITAL aspect of Algebra and is foundational for further topics.

GED Content Areas

  • Number and Ratios

Location, Location, Location: Navigating in the Coordinate Plane

In this lesson, students will learn the basic knowledge or a coordinate grid and what it is useful.  Students will learn to plot points and use points to determine location.  Knowledge of the coordinate plane is a precursor to more advanced geometry and trigonometry.  In and of itself, however, the application of some sort of organized locator plan is used in groceries, department stores, parking lots, campuses of colleges and large businesses, and, locally, in at least four factories.

GED Content Areas

  • Geometry

  • Number and Ratios

Math Skills for Carpet & Tile Installation

This lesson shows students how math skills can be applied to make improvements to their own living spaces. It also shows them how they would use these math skills if they were employed in the trade jobs of carpet laying or tile setting. This lesson builds on the unit’s aim to help students explore trade jobs.

GED Content Areas

  • Geometry

  • Number and Ratios

Multiply and Divide Integers

This lesson introduces students to the concepts of negative numbers and how to multiply and divide with integers. This will help students understand situations in which negative numbers apply as well as get students started with reasoning using abstract concepts.

GED Content Areas

  • Number and Ratios

Oxygen Needs by the Numbers

The purpose of this lesson is to teach students to measure and interpret measurements relating to respiratory needs in order to choose an appropriate health care action.

GED Content Areas

  • Number and Ratios

Percent and Pie Charts

This lesson is designed to enhance student understanding of the following mathematical skills:

Measurement and Spatial Reasoning: students will make frequent use of a protractor in the construction of appropriately-sized pie charts in the representation of data.
Numeracy: students will understand percent of a whole as a visual model. They will be able to compare a given percent to a benchmark percent value (25%, 33%, 50%, 66%, 75%) in order to have a sense of accuracy and intuitive meaning. Students will develop an ability to connect different representations of the same data, and be able to represent data in multiple forms to better understand percent/proportional reasoning.
Procedural Fluency: students will increase their procedural fluency, which is one of the components of rigor, by repeatedly using the standard algorithm for computing percent of a whole
 

Additionally, this lesson is designed to enhance student understanding of the following mathematical concepts/content areas:

Percent: students will be asked to make computations with percent as an input or output
Precise Representation of Data: students will construct accurate pie-charts that describe raw data
Proportional Reasoning: students will apply percent concepts toward their overall understanding and development of proportional reasoning
The mathematical skills and content in this lesson has significance in the workforce and in high stakes exams such as the GED® exam, COMPASS®, and KYOTE®.

Pre-requisite Knowledge: Ideally, students will already have some experience calculating percent; this should not be the first lesson in a unit on percent for students.

GED Content Areas

  • Number and Ratios

Percent Applications

The purpose of this lesson is to introduce students to different ways they may work with percentages in the healthcare field and give them the opportunity to practice these applications.

GED Content Areas

  • Number and Ratios

Positive and Negative Numbers

Students will be able to locate integers on the number line, identify real-world applications of integers, and use integers to solve problems.

GED Content Areas

  • Number and Ratios

Proportions for Trade Jobs

The use of proportions is important in many trade jobs and in many areas of life such as calculating cost, budgeting, and cooking. The guided and independent practice problems are designed to show students how they might have to use this particular math skill in trade jobs.

 

 

 

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Rate

To build on students’ prior understanding of place value as they begin to compare numerical properties

GED Content Areas

  • Number and Ratios

Ratio and Proportion

This lesson will deepen and make connections with students’ prior work with percent and fraction equivalencies. Students will see how the relationship between numbers applies to proportional relationships, and how these relationships are used in the healthcare field.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

  • Number and Ratios

Real-Life Proportions

This lesson will assist students in understanding proportions.  Use of ratios and rates from the previous lesson will be continued in the set up and use of proportions.  Students will demonstrate their understanding of proportion by using ratio reasoning.

The use of proportions is important because it will give students knowledge of utlilizing the concepts learned in real-life.  Some of the tasks students will be able to perform are solving geometric and measurment problems, calculate recipes, driving distances, and costs.  Students will be able to use proportional reasoning at work and home.

Prerequisites for this lesson are understanding ratios and rate from the previous lesson.  Also, students need to have a good understanding of mulitplication.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Real-Life Ratios and Rates

This lesson will assist students in understanding the concepts of ratio and rate.  Use of the concept learned and process on how to set up rates and ratios.  The instructor will write the lesson purpose and objectives on the board.

Students will demonstrate their understanding of the concept of a ratio by using ratio language to describe relationships between quantities.

Ratio and rate is important because it will give students the knowledge of utilizing the concepts learned in real life.  Some of the tasks students will be able to perform by understanding these concepts are: solve geometric problems, measuring problems, calculate recipes, calculate driving distances and cost, etc… Students will be able to use this at work when mixing ingredients to meet specified requirements of things like spices, batter, explosives, and chemicals.

A prerequisite to this lesson  is understanding rational numbers.  The opening conversation will reveal how each student could use these skills in real-life situations.  For example:  What is the unit cost of one soda from a case?  What is the distance between two locations on a map with a 1 inch scale? How many miles per gallon does your car average?

GED Content Areas

  • Number and Ratios

The Four Operations with Fractions for Trade Jobs

The ability to add, subtract, multiply, and divide fractions is an important skill to solve real life math problems. The guided and independent practice problems are designed to show students how they might have to solve problems with fractions for power/energy jobs and other trade jobs.

GED Content Areas

  • Number and Ratios

  • Number and Ratios

Using Parts, Percents, and Wholes

This lesson will teach students by way of ratio/proportion, how to calculate parts, percents, and wholes and apply them when creating a professional budget (e.g. Event Planner) or a personal budget.

GED Content Areas

  • Number and Ratios

Using Proportion to Solve Percent

The purpose of this lesson is not only to identify the part of the percent proportion method correctly, but become a better decision maker when it comes to getting the best value for your money. Students will also be able to calculate taxes, tips, discounts, and simple interest.
 

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Using Proportions to Solve Direct and Inverse Variation

The lesson will use proportions to help solve applications involving direct and inverse variation.  Also, students will continue to build their knowledge of different measurement abbreviations.  These skills can be very important in technology and health fields.  The lesson will expose students to scenarios that can really be applied in these fields.

GED Content Areas

  • Number and Ratios

  • Algebra and Functions

Volume of a Rectangular Solid

The purpose of this lesson is to introduce how to determine the volume of a rectangular prism.  Students will measure and calculate the volume of rectangular prisms.  Many previously learned skills will be used in this lesson in order to calculate the volume of different rectangular prisms.  Students will discuss where these skills would be needed in real life and what jobs would require these skills.  Application of these skills will be used to design a package for a new brownie.

GED Content Areas

  • Number and Ratios

  • Geometry

What's Your Profit?

Students will fill in missing data in a table after finding the percent of increase or percent of decrease to calculate pricing items at the gift shop, calculating high traffic volume periods, and creating work schedules for their career in hospitality and tourism.

The purpose of this lesson is to enhance the understanding of percent and ratio use, to be able to proficiently perform repeated calculations to find the percent of increase or decrease for real-life and work related scenarios, to be able to create tables/charts that visually summarizes the information, as well as reasoning through word problems to determine appropriate computations needed.  

Pre-requisite Knowledge: Number base 10 and fractions. Ideally, students will already have some experience working with ratios, and will have basic understanding on how to read graphs. 

GED Content Areas

  • Number and Ratios