# Math in the Real World

MTH 145YC Academy’s Math in the Real World course introduces students to both basic and intermediate concepts of number sense and quantitative analysis. The course is designed to help students conceptualize abstract quantitative concepts as they relate to real‐world problems and everyday life, and provides extensive examples and practice to help students explain and apply the concepts.

## Course Outline

Click the + icon in each module to see its contents.

## Outcomes/Objectives

Click on each tab to view its contents.

### Module #1

**Number Sense: Part 1**

- Intro to Number Sense
- Estimation
- GCF and LCM
- Fractions: Part 1
- Fractions: Part 2
- Applications: Visually Modeling Fractions

### Module #3

**Algebra: Part 1**

- Algebraic Expressions
- Solving Equations
- Solving Inequalities
- Coordinate Planes
- Slope and Lines
- Application – Word Problems

### Module #5

**Geometry**

- Measurement and Conversions
- Angles, Triangles, and Pythagorean Theorem
- 2-D Shapes
- 3-D Shapes
- Area of Uncommon Figures
- Application: Scale and Maps

### Module #7

**Data Analysis: Part 1**

- What is Statistics?
- Data and Samples
- Experimental Design
- Organizing Data with Frequency Tables
- Five Number Summary and Percentiles
- Measures of Center and Shape

### Module #9

**Probability By Counting**

- Simple Probability
- Independent and Dependent Events
- Factorials
- Permutations
- Combinations
- Application: Understanding Everyday Probability

### Module #2

**Number Sense: Part 2**

- Decimals
- Ratios and Proportions
- Rational Numbers
- Percent Applications
- Application: Mental Percents

### Module #4

**Algebra: Part 2**

- Relations and Functions
- Systems of Equations: Graphs and Substitution
- Systems of Equations: Elimination and General Strategy
- Exponential and Logarithmic Graphs
- Application: Interest, Growth, and Decay

### Module #6

**Visual Modeling**

- Bar Graphs
- Line Graphs and Scatter Plots
- Pie Graphs
- Frequency Tables and Histograms
- Comparing Visual Models
- Application: Misleading Tables, Graphs, and Charts

### Module #8

**Data Analysis: Part 2**

- Measures of Spread
- Normal Distribution and Z-Scores
- Linear Equations and Predictions
- Scatter Plots and Lines of Best Fit

### Module #10

**Probability by Calculation**

- Modeling Two Events
- Calculating “AND” Probability
- Calculating “OR” Probability
- Conditional Probability
- Application: Simulating Experimental Probability

- Course Outcome #1
- Course Outcome #2
- Course Outcome #3
- Course Outcome #4
- Course Outcome #5
- Course Outcome #6
- Course Outcome #7
- Course Outcome #8
- Course Outcome #9
- Course Outcome #10
- Course Outcome #11
- Course Outcome #12

Perform basic mental calculations including estimation, multiplication, division, addition, subtraction, rounding, and factoring.

*Bloom’s level 2*

Analyze, calculate, and convert basic fraction equations including proper, mixed, improper, equivalent, common, and uncommon denominators.

*Bloom’s level 4*

Identify, analyze, and evaluate problems with decimals, ratios and proportions, and rational proportions.

*Bloom’s level 5*

Analyze and evaluate algebraic equations, including basic equations and inequalities.

*Bloom’s level 5*

Analyze and evaluate functions, systems of equations, and exponential and logarithmic graphics.

*Bloom’s level 5*

Identify and analyze elements of a coordinate plane as it relates to linear equations and functions.

*Bloom’s level 4*

Analyze and evaluate basic geometric shapes and equations.

*Bloom’s level 5*

Analyze data, identify the correct graphic representation, and evaluate graphs to solve problems.

*Bloom’s level 4*

Analyze data and calculate descriptive statistics.

*Bloom’s level 4*

Analyze and evaluate data to determine basic statistics such as measures of spread, normal distribution, z-scores, confidence intervals, correlation, and regression.

*Bloom’s level 5*

Analyze and calculate basic probability such as permutations, combinations, events, and simple probability.

*Bloom’s level 5*

Analyze and calculate probability such as two events, AND probability, OR probability, and conditional probability.

*Bloom’s level 5*

## Course Outline

Click the + icon in each module to see its contents.

### Module #1

**Number Sense: Part 1**

- Intro to Number Sense
- Estimation
- GCF and LCM
- Fractions: Part 1
- Fractions: Part 2
- Applications: Visually Modeling Fractions

### Module #3

**Algebra: Part 1**

- Algebraic Expressions
- Solving Equations
- Solving Inequalities
- Coordinate Planes
- Slope and Lines
- Application – Word Problems

### Module #5

**Geometry**

- Measurement and Conversions
- Angles, Triangles, and Pythagorean Theorem
- 2-D Shapes
- 3-D Shapes
- Area of Uncommon Figures
- Application: Scale and Maps

### Module #7

**Data Analysis: Part 1**

- What is Statistics?
- Data and Samples
- Experimental Design
- Organizing Data with Frequency Tables
- Five Number Summary and Percentiles
- Measures of Center and Shape

### Module #9

**Probability By Counting**

- Simple Probability
- Independent and Dependent Events
- Factorials
- Permutations
- Combinations
- Application: Understanding Everyday Probability

### Module #2

**Number Sense: Part 2**

- Decimals
- Ratios and Proportions
- Rational Numbers
- Percent Applications
- Application: Mental Percents

### Module #4

**Algebra: Part 2**

- Relations and Functions
- Systems of Equations: Graphs and Substitution
- Systems of Equations: Elimination and General Strategy
- Exponential and Logarithmic Graphs
- Application: Interest, Growth, and Decay

### Module #6

**Visual Modeling**

- Bar Graphs
- Line Graphs and Scatter Plots
- Pie Graphs
- Frequency Tables and Histograms
- Comparing Visual Models
- Application: Misleading Tables, Graphs, and Charts

### Module #8

**Data Analysis: Part 2**

- Measures of Spread
- Normal Distribution and Z-Scores
- Linear Equations and Predictions
- Scatter Plots and Lines of Best Fit

### Module #10

**Probability by Calculation**

- Modeling Two Events
- Calculating “AND” Probability
- Calculating “OR” Probability
- Conditional Probability
- Application: Simulating Experimental Probability

## Outcomes/Objectives

Click on each tab to view its contents.

- Course Outcome #1
- Course Outcome #2
- Course Outcome #3
- Course Outcome #4
- Course Outcome #5
- Course Outcome #6
- Course Outcome #7
- Course Outcome #8
- Course Outcome #9
- Course Outcome #10
- Course Outcome #11
- Course Outcome #12

Perform basic mental calculations including estimation, multiplication, division, addition, subtraction, rounding, and factoring.

*Bloom’s level 2*

Analyze, calculate, and convert basic fraction equations including proper, mixed, improper, equivalent, common, and uncommon denominators.

*Bloom’s level 4*

Identify, analyze, and evaluate problems with decimals, ratios and proportions, and rational proportions.

*Bloom’s level 5*

Analyze and evaluate algebraic equations, including basic equations and inequalities.

*Bloom’s level 5*

Analyze and evaluate functions, systems of equations, and exponential and logarithmic graphics.

*Bloom’s level 5*

Identify and analyze elements of a coordinate plane as it relates to linear equations and functions.

*Bloom’s level 4*

Analyze and evaluate basic geometric shapes and equations.

*Bloom’s level 5*

Analyze data, identify the correct graphic representation, and evaluate graphs to solve problems.

*Bloom’s level 4*

Analyze data and calculate descriptive statistics.

*Bloom’s level 4*

Analyze and evaluate data to determine basic statistics such as measures of spread, normal distribution, z-scores, confidence intervals, correlation, and regression.

*Bloom’s level 5*

Analyze and calculate basic probability such as permutations, combinations, events, and simple probability.

*Bloom’s level 5*

Analyze and calculate probability such as two events, AND probability, OR probability, and conditional probability.

*Bloom’s level 5*

## Outcomes/Objectives

Click on each tab to view its contents.

- Course Outcome #1
- Course Outcome #2
- Course Outcome #3
- Course Outcome #4
- Course Outcome #5
- Course Outcome #6
- Course Outcome #7
- Course Outcome #8
- Course Outcome #9
- Course Outcome #10
- Course Outcome #11
- Course Outcome #12

Perform basic mental calculations including estimation, multiplication, division, addition, subtraction, rounding, and factoring.

*Bloom’s level 2*

Analyze, calculate, and convert basic fraction equations including proper, mixed, improper, equivalent, common, and uncommon denominators.

*Bloom’s level 4*

Identify, analyze, and evaluate problems with decimals, ratios and proportions, and rational proportions.

*Bloom’s level 5*

Analyze and evaluate algebraic equations, including basic equations and inequalities.

*Bloom’s level 5*

Analyze and evaluate functions, systems of equations, and exponential and logarithmic graphics.

*Bloom’s level 5*

Identify and analyze elements of a coordinate plane as it relates to linear equations and functions.

*Bloom’s level 4*

Analyze and evaluate basic geometric shapes and equations.

*Bloom’s level 5*

Analyze data, identify the correct graphic representation, and evaluate graphs to solve problems.

*Bloom’s level 4*

Analyze data and calculate descriptive statistics.

*Bloom’s level 4*

Analyze and evaluate data to determine basic statistics such as measures of spread, normal distribution, z-scores, confidence intervals, correlation, and regression.

*Bloom’s level 5*

Analyze and calculate basic probability such as permutations, combinations, events, and simple probability.

*Bloom’s level 5*

Analyze and calculate probability such as two events, AND probability, OR probability, and conditional probability.

*Bloom’s level 5*

## Course Outline

Click the + icon in each module to see its contents.

### Module #1

**Number Sense: Part 1**

- Intro to Number Sense
- Estimation
- GCF and LCM
- Fractions: Part 1
- Fractions: Part 2
- Applications: Visually Modeling Fractions

### Module #2

**Number Sense: Part 2**

- Decimals
- Ratios and Proportions
- Rational Numbers
- Percent Applications
- Application: Mental Percents

### Module #3

**Algebra: Part 1**

- Algebraic Expressions
- Solving Equations
- Solving Inequalities
- Coordinate Planes
- Slope and Lines
- Application – Word Problems

### Module #4

**Algebra: Part 2**

- Relations and Functions
- Systems of Equations: Graphs and Substitution
- Systems of Equations: Elimination and General Strategy
- Exponential and Logarithmic Graphs
- Application: Interest, Growth, and Decay

### Module #5

**Geometry**

- Measurement and Conversions
- Angles, Triangles, and Pythagorean Theorem
- 2-D Shapes
- 3-D Shapes
- Area of Uncommon Figures
- Application: Scale and Maps

### Module #6

**Visual Modeling**

- Bar Graphs
- Line Graphs and Scatter Plots
- Pie Graphs
- Frequency Tables and Histograms
- Comparing Visual Models
- Application: Misleading Tables, Graphs, and Charts

### Module #7

**Data Analysis: Part 1**

- What is Statistics?
- Data and Samples
- Experimental Design
- Organizing Data with Frequency Tables
- Five Number Summary and Percentiles
- Measures of Center and Shape

### Module #8

**Data Analysis: Part 2**

- Measures of Spread
- Normal Distribution and Z-Scores
- Linear Equations and Predictions
- Scatter Plots and Lines of Best Fit

### Module #9

**Probability By Counting**

- Simple Probability
- Independent and Dependent Events
- Factorials
- Permutations
- Combinations
- Application: Understanding Everyday Probability

### Module #10

**Probability by Calculation**

- Modeling Two Events
- Calculating “AND” Probability
- Calculating “OR” Probability
- Conditional Probability
- Application: Simulating Experimental Probability

## Lesson Features

Each of our lessons is designed as self-contained learning environment that provides all the context, explanation, and resources you need to learn about a specific topic. We give you the information you need in a format that helps you apply it in your daily life.

#### Context

Knowing why a topic matters and how it applies to your experience is an important part of learning anything. That’s why we make sure you have the proper context for the information we give you.

#### Video Overview

Every TEL Library lesson features a video overview of the information being presented. Our videos provide helpful text callouts and a downloadable transcript.

#### Readings

We provide two different readings that elaborate information related to the lesson topic. The first gives you essential, objective information while the second offers a deeper look at a specific sub-topic or a view of different perspectives.

#### Check Your Knowledge

Developing a clear understanding of a topic generally requires that you spend time reflecting on the meaning or impact of its concepts and information. We facilitate this reflection with polls designed to help you create connections to the topic.

#### Glossary

It’s easy to get tripped up on unfamiliar terms when you’re trying to learn something new. We’ve developed in-line glossary definitions of key terms to help make lessons easier to read and understand.

#### Toolbox Resources

We know that our lessons are simply a starting point for many learners. That’s why we provide a toolbox with related web resources for each lesson so that you can continue your learning journey on a specific topic.