 # Math in the Real World

MTH 145

YC 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

• 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

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

• 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.

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.

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

• 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

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