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# 7th Grade math mini-lessons aligned with Khan Academy skills for an entire year!

Standards Alignment
Common Core State Standards

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Great for distance learning!  Complement your use of Khan Academy with 148 mini-lessons that are aligned with the Khan Academy 7th 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.

Details of what is included in this compressed zipped file:

1)  A pacing guide that shows Khan Academy 7th Grade Math skills covered in each unit.  Khan Academy 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 of Common Core 7th Grade Math.

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 7th Grade Math 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.

7th Grade Common Core Math Units are organized as follows:

Unit 1 Sum and Difference with Negative Numbers - 17 lessons

Unit 2 Product and Quotient with Negative Numbers  - 20 lessons

Unit 3 Percent, Unit Rate and Proportions - 26 lessons

Unit 4 Expressions, Equations, and Inequalities -   18 lessons

Unit 5 Geometry - 25 lessons

Unit 6 Statistics and Probability - 12 lessons

Unit 7 Final Test Preparation - 30 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 Academy 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 Academy 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. Both these states align mostly with Common Core Math.

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.

### Standards

Explain what a point (?, ?) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, ?) where ? is the unit rate.
Solve word problems leading to equations of the form 𝑝𝑥 + 𝑞 = 𝑟 and 𝑝(𝑥 + 𝑞) = 𝑟, where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
Use proportional relationships to solve multistep ratio and percent problems.
Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.
Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
Represent proportional relationships by equations.
Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.
Apply properties of operations as strategies to add and subtract rational numbers.
Apply properties of operations as strategies to multiply and divide rational numbers.
Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
Solve real-world and mathematical problems involving the four operations with rational numbers.
Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
Understand subtraction of rational numbers as adding the additive inverse, ? – ? = ? + (–?). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
Represent sample spaces for compound events using methods such as organized lists, tables and tree diagrams. For an event described in everyday language (e.g., “rolling double sixes”), identify the outcomes in the sample space which compose the event.
Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions.
Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences.
Solve word problems leading to inequalities of the form 𝑝𝑥 + 𝑞 > 𝑟 or 𝑝𝑥 + 𝑞 < 𝑟, where 𝑝, 𝑞, and 𝑟 are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.
Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.
Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle.
Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.
Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency, and predict the approximate relative frequency given the probability.
Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.
Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.
Understand that, just as with simple events, the probability of a compound event is the fraction of outcomes in the sample space for which the compound event occurs.
Design and use a simulation to generate frequencies for compound events.
Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

### Reviews

5.0
2 Reviews
Thanks for the positive review. I hope these lessons and using Khan Academy for homework, quizzes and tests can help you balance the work required to get all students growing!
You're a genius! Thank you so much.