6th Grade math mini-lessons aligned with Khan Academy skills for an entire year!

# 6th Grade math mini-lessons aligned with Khan Academy skills for an entire year!

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Standards Alignment
Common Core State Standards

Great for distance learning!  Complement your use of Khan Academy with 159 mini-lessons that are aligned with the Khan Academy 6th Grade Math mission. Spend less time planning and more time teaching and intervening where students are struggling. Lessons are brief and to the point so that students can quickly master skills on Khan Academy and then work on more creative projects that utilize these skills.

Use the link below to access these free lessons.

Details of what is included in this compressed zipped file:

1)  A pacing guide that shows Khan Academy skills covered in each unit.  Khan skills are covered mostly sequentially but there is a little jumping around.

2)  A unit map that identifies key concepts, standards, vocabulary, and essential questions for each unit.

3)  A description of a daily routine that utilizes the lesson materials provided.  Description includes how students are assessed and how student learning is differentiated. I found administrators accepted this as my lesson plan when I also had the pacing guide and materials to back it up. Imagine, having lesson plans complete for the entire year!

4)  Lesson materials for each unit.  Lesson materials teach one or two Khan Academy skills in two pages split into a total of 4 sections:

- “Do Now,” a warm-up task that tests prerequisite skills or reviews the skills taught on the prior day.

- A skill or skills of the day, how students will know they have mastered the skill(s), and an essential question relevant to the skill.

- Teacher exemplar and students guided work directly related to the skill(s) of the day.

- Exit ticket to assess student understanding of the lesson.

Units are organized as follows:

Unit 1 Fraction Operations and Properties of Numbers - 11 lessons

Unit 2 Decimal Operations - 17 lessons

Unit 3 Ratios, Rates and Percent - 22 lessons

Unit 4 Negative Numbers - 20 lessons

Unit 5 Variables and Expressions - 16 lessons

Unit 6 Equations and Inequalities - 16 lessons

Unit 7 Geometry - 19 lessons

Unit 8 Statistics and Probability - 20 lessons

Unit 9 Final Test Preparation - 18 lessons

These units can be printed as one sheet per day (front and back).  In a conventional teach, guided practice, independent practice, the skill(s) of the day can be assigned in Khan daily after completing this material.  In a student-directed learning or “flipped” classroom the skill(s) of the day can be assigned in Khan Academy BEFORE teaching this material. Students who have mastered the skill before being taught can continue to work ahead on Khan or on a unit project.  These materials can then be printed on demand for students who have not yet mastered the skill(s).

The final unit is a summary of the year that focuses on problem solving skills based upon 20 problem types identified for the grade level.  A separate folder in this folder contains 10 question quizzes that align with this unit as well as materials to track student and class proficiency in the 20 problem types.

Many practice problems have been pulled from North Carolina released practice tests and EngageNY released practice tests.

5)  Ten-question quizzes for 20 problem types.  Quizzes and tests assigned and completed within Khan Academy are preferable for tracking student progress.  However, sometimes technology is not available every day.

## Resources

External resources

### Standards

Solve real-world and mathematical problems by writing and solving equations of the form ? + ? = ? and ?? = ? for cases in which ?, ? and ? are all nonnegative rational numbers.
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).
Write expressions that record operations with numbers and with letters standing for numbers.
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.
Write and evaluate numerical expressions involving whole-number exponents.
Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
Understand the concept of a unit rate ?/? associated with a ratio ?:? with ? ≠ 0, and use rate language in the context of a ratio relationship.
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
Solve unit rate problems including those involving unit pricing and constant speed.
Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.
Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Fluently divide multi-digit numbers using the standard algorithm.
Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.
Apply the properties of operations to generate equivalent expressions.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them).
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.
Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.
Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.
Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas ? = ??ℎ and ? = ?ℎ to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.
Write an inequality of the form ? > ? or ? < ? to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form ? > ? or ? < ? have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
Write, interpret, and explain statements of order for rational numbers in real-world contexts.
Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.
Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered.
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
Reporting the number of observations.
Describing the nature of the attribute under investigation, including how it was measured and its units of measurement.
Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation.
Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

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