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Welcome to 6th Grade Math - Real World Application!

The learner will be able to write ratios and understand written ratios after watching this lesson.

The learner will be able to fluently write ratios using information in a table after watching this practice video.

The learner will be able to calculate unit rates and understand why unit rates are useful.

The learner will be able to fluently calculate unit rates after watching this practice video.

The learner will be able to use tables, tape diagrams, double number lines, and equations to find equivalent ratios.

The learner will be able to use tables, tape diagrams, double number lines, and equations to find equivalent ratios in the context of a scaled map after watching this practice video.

The learner will be able to calculate and graph equivalent ratios after watching this lesson.

The learner will be able to calculate and graph equivalent ratios after watching this practice video.

The learner will be able to calculate unit rates in relation to pricing at a gas station after watching this lesson.

The learner will be able to calculate unit rates in relation to constant speed of buses after watching this practice video.

The learner will be able to write percents as rates and find parts and wholes when given percents after watching this lesson.

The learner will be able to find the whole when given the percent and the part after watching this practice video.

The learner will be able to convert to different units through ratio reasoning after watching this lesson.

The learner will be able to fluently convert to different units using ratio reasoning after watching this practice video.

This is the assessment for the unit "Ratios and Proportional Relationships."

The learner will be able to differentiate statistical and non-statistical questions after watching this lesson.

The learner will be able to differentiate statistical and non-statistical questions across multiple examples after watching this practice video.

The learner will be able to determine the center, diagnose the shape, and interpret the spread of different data distributions after watching this lesson.

The learner will be able to determine the center, diagnose the shape, and interpret the spread of different data distributions after watching this practice video.

The learner will be able to calculate mean, median, mode, range, interquartile range, and mean absolute deviation after watching this lesson.

The learner will be able to calculate mean, median, mode, range, interquartile range, and mean absolute deviation as well as understand whether each is a measure of center or spread after watching this practice video.

The learner will be able to create histograms, dot plots, and box-and-whisker diagrams when given a data set after watching this lesson.

The learner will be able to create histograms, dot plots, and box-and-whisker diagrams when given a data set after watching this practice video.

The learner will be able to calculate relative frequency and create a percent bar graph after watching this lesson.

The learner will be able to calculate relative frequency and create a percent bar graph after watching this practice video.

The learner will be able to classify data as categorical or numerical, discrete or continuous, counted or measured, and define the units after watching this lesson.

The learner will be able to classify data as categorical or numerical, discrete or continuous, counted or measured, and define the units after watching this practice video.

The learner will be able to identify outliers and their impact on measures of center and spread after watching this lesson.

The learner will be able to identify outliers and their impact on measures of center and spread after watching this practice video.

The learner will be able to identify which measures of center and spread are appropriate depending on the shape of data distributions after watching this lesson.

The learner will be able to identify which measures of center and spread are appropriate depending on whether the problem included a skewed or symmetric data distribution after watching this practice video.

This is the assessment for the unit "Statistical Analysis and Diagrams."

The learner will be able to create appropriate diagrams to visualize fraction division after watching this lesson.

The learner will be able to create appropriate diagrams to visualize fraction division after watching this practice video.

The learner will be able to add, subtract, multiply, and divide two-digit decimals after watching this lesson.

The learner will be able to add, subtract, multiply, and divide two-digit decimals after watching this practice video.

The learner will be able to find least common multiples and greatest common factors to assist in multiplication after watching this lesson.

The learner will be able to solve multiplication problems by finding least common multiples and greatest common factors after watching this practice video.

This is the assessment for the unit "Operational Fluency with Fractions and Decimals."

The learner will be able to interpret negative and positive numbers across a variety of real-world examples after watching this lesson.

The learner will be able to interpret negative and positive numbers in real-world contexts after watching this practice video.

The learner will be able to identify integers, whole and rational numbers as well as find number opposites after watching this lesson.

The learner will be able to identify integers, whole and rational numbers and find number opposites after watching this practice video.

The learner will be able to identify quadrants on the coordinate plane, graph coordinates resulting from x-axis and y-axis reflections, and plot points on number lines after watching this lesson.

The learner will be able to solve problems involving the identification of quadrants on the coordinate plane, graphing coordinates resulting from x-axis and y-axis reflections, and plotting points on number lines after watching this video.

The learner will be able to plot negative numbers in order on the number line and use real-world language to compare negative numbers after watching this lesson.

The learner will be able to solve problems involving the plotting of negative numbers in order on the number line and using real-world language to compare negative numbers after watching this practice video.

The learner will be able to use real-world scenarios to accurately describe the absolute value of numbers after watching this lesson.

The learner will be able to solve real-world problems when describing the absolute value of numbers after watching this practice video.

The learner will be able to use real-world scenarios to find the distance between two points on the coordinate plane after watching this lesson.

The learner will be able to view worked examples of finding distance between two points on the coordinate plane after watching this practice video.

This is the assessment for the unit "Rational Numbers in the Real World and Coordinate Plane."

The learner will be able to distinguish between bases and exponents and simplify a variety of exponential expressions after watching this lesson.

The learner will be able to compare and order exponential expressions as well as create exponential expressions given verbal descriptions after watching this practice video.

The learner will be able to identify algebraic vocabulary and convert written operations into algebraic expressions after watching this lesson.

The learner will be able to identify algebraic vocabulary and convert written operations into algebraic expressions across several examples after watching this practice video.

The learner will be able to input numerical values for variables in geometric applications in order to find area after watching this lesson.

The learner will be able to input values for variables in order to solve for area in several geometric problems after watching this practice video.

The learner will be able to create equivalent expressions by utilizing several mathematical properties after watching this lesson.

The learner will be able to create equivalent expressions by utilizing mathematical properties in a variety of scenarios after watching this practice video.

The learner will be able to identify whether given expressions are equivalent after watching this lesson.

The learner will be able to identify whether the expressions given in 3 different problems are equivalent after watching this practice video.

The learner will be able to input several values for the variable in order to determine which value makes the statement true after watching this lesson.

The learner will be able to determine which values make true statements across several equations and inequalities after watching this practice video.

The learner will be able to isolate the variable when solving one-step addition and multiplication equations after watching this practice video.

The learner will be able to solve addition and multiplication equations and inequalities along with plotting the solutions on a number line after watching this practice video.

The learner will be able to distinguish independent and dependent variables, write equations, and plot a table of values on the coordinate plane after watching this lesson.

The learner will be able to differentiate independent and dependent variables, write an equation based on a real-life scenario, and plot the table of values on a coordinate plane after watching this practice video.

This is the exam for the unit "Algebraic Expressions, Equations, and Inequalities."

The learner will be able to decompose triangles, rectangles, and squares from irregular shapes in order to find area after watching this lesson.

The learner will be able to decompose triangles, rectangles, and squares and compose rectangles in real-world scenarios after watching this practice video.

The learner will be able to find the volume of right rectangular prisms with the formula and by combining cubes with fractional edge lengths after watching this practice video.

The learner will be able to calculate the volume of a right rectangular prism using the formula and by stacking the prism with cubes of fractional edge lengths after watching this lesson.

The learner will be able to graph polygons in the coordinate plane, find side lengths, and calculate area after watching this lesson.

The learner will be able to graph polygons in the coordinate plane, find side lengths, and calculate area after watching this practice video.

The learner will be able to create 2d representations of 3d shapes and find their surface area after watching this lesson.

The learner will be able to determine the net that matches a 3d shape and calculate its area after watching this practice video.

The learner will be able to determine how side lengths and angle measurements are related in triangles after watching this lesson.

The learner will be able to determine how side lengths and angle measurements relate in triangles after watching this practice video.

This is the exam for the unit "Area, Surface Area, and Volume."

The learner will be able to determine the essential features of a checking account and balance a monthly statement after watching this lesson.

The learner will be able to balance an example monthly checking account statement after watching this practice video.

The learner will be able to determine what comprises a credit score, identify good credit scores, and describe the benefits of a credit report for borrowers and lenders after watching this lesson.

The learner will be able to determine what actions can be taken to increase or decrease a credit score and the benefits available to those with good credit after watching this practice video.

The learner will be able to determine the appropriate steps to financially prepare for college and the career benefits of earning a university degree after watching this lesson.

The learner will be able to compute the lifetime income differential of two students who take different paths with regard to attending university after watching this practice video.

This is the exam for the unit "Financial Mathematics."

This is the final assessment that covers all learning objectives for the course.

Thank you for checking out 6th Grade Math: Real-World Application!

This course is aligned to both common core standards and Texas Essential Knowledge and Skills for 6th grade math. However, it can be used by students in all states as it covers a very wide array of topics. Every standard is covered in detail in the most engaging way possible -- nearly every course begins outside as I describe how what we learn in 6th grade math can be applied to our lives.

The specific units of study include:

1) Ratios and Proportional Relationships

2) Statistical Analysis and Diagrams

3) Operational Fluency with Fractions and Decimals

4) Rational Numbers in the Real World and Coordinate Plane

5) Algebraic Expressions, Equations, and Inequalities

6) Area, Surface Area, and Volume

7) Financial Mathematics

What comes with the course?

*40 lesson videos

*40 practice videos explaining how to solve the challenge problems assigned for each lesson

*40 worksheets with real-world scenarios applied to 6th grade math standards

*7 Unit Exams with answer key

*1 Final Exam with answer key

- Teacher: Mark
- Areas of expertise: Math, Finance, Spanish, K-12 education
- Education: BBA in Finance; BA in Spanish; MEd in Learning and Technology
- Interests: Family, Math, Soccer, Traveling
- Skills: K-12 full continuum teaching; classroom engagement; bilingual in English and Spanish
- Associations: SXSWedu Advisory Board Member
- Issues I care about: K-12 education through looping (teaching the same students for multiple years); making a more livable planet for every person through conservation and equity

I have taught nearly every grade K-12 and enjoy teaching the same students year to year. Thank you for choosing to learn with me; I work hard to make every lesson engaging through real-world application.

Answers for all questions to the unit assessment "Ratios and Proportional Relationships."

Answers for all questions to the unit assessment "Statistical Analysis and Diagrams."

Answers for all questions to the unit assessment "Operational Fluency with Fractions and Decimals."

Answers for all questions to the unit assessment "Rational Numbers in the Real World and Coordinate Plane."

Answers for all questions to the unit assessment "Algebraic Expressions, Equations, and Inequalities."

Answers for all questions to the unit assessment "Area, Surface Area, and Volume."

Answers for all questions to the unit assessment "Financial Mathematics."

Use the unit exam keys to mark the final exam.

Test Preparation Document

Digital Quizzes and Tests Answer Keys Document

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