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First Grade Common Core Math
Figure It Out Middle School Math, & Logic: Rational Numbers & Coordinate Plane
Malikai Bass M.A
Popular
Average rating:5.0Number of reviews:(272)
This problem-based math cohort is for the creative thinkers, artists, and problem solvers to build math confidence and skills at an accelerated pace suitable for gifted students while building deep foundational understanding.
Class experience
US Grade 6 - 8
This is the sixth course in a series of small group classes for middle school math. These classes are a hybrid of individualized learning and traditional classes. Each section has no more than five learners which provides a foundation for strong relationships, social-emotional learning, and truly individualized instruction. This series is based on an accelerated math curriculum that covers three years of content, aligned to Common Core Math Standards, over the course of two school years. It...
6 units//25 lessons//5 Weeks
Unit 1Negative Numbers and Absolute ValueNegative Numbers and Absolute Value6 lessons2 WeeksWeek 1Lesson 1Readiness AssessmentWe will begin with a readiness assessment that covers basic skills and gives a preview of course material to allow for individualization including review materials, tutoring suggestions, and enrichment based on the results of each individual learner.Lesson 2What are positive and negative numbers?We will extend our thinking to negative numbers by exploring real world contexts in which we use these numbers primarily temperature and sea level. We will then work to abstract this thinking to a vertical number line.Lesson 3How can we compare positive and negative numbers?We will work with positive and negative numbers on a horizontal number line, formalize our understanding of rational numbers, and use inequalities to compare positive and negative numbers.Lesson 4How do we order positive and negative numbers?We will solidify our understanding of rational numbers by ordering positive and negative numbers. We will understand the "opposite" of a number to be the number that is equally as far from zero.Lesson 5What is absolute value?We will explore absolute value as the distance form zero, practice finding and comparing the absolute value of rational numbers, and understand the notation.Week 2Lesson 6How can we compare numbers and distance from zero?We will apply our understanding of absolute value to real world examples and situations involving elevations and understand how to compare rational numbers and the absolute value of rational numbers using inequalities.Unit 2Adding and Subtracting Negative NumbersAdding and Subtracting Negative Numbers5 lessons2 WeeksWeek 2Lesson 7How can we represent change with negative numbers?We will learn how to add negative numbers by connecting it to changing temperatures and representing the change on a number line.Lesson 8How can we represent change with negative numbers (part 2)?We will build fluency adding with negative numbers beginning with elevation and moving towards more abstract work. We will understand additive inverses by adding opposite numbers.Lesson 9Where else do we add negative numbers?We will apply our knowledge of adding negative numbers to situations involving money, debts, and checking accounts in order to expand our understanding and fluency while building financial literacy skills.Lesson 10What happens when you subtract negative numbers?We will use our understanding of adding negative numbers and the relationship between adding and subtracting as inverse operations to develop strategies for subtracting negative numbers and prove our ideas using the number line.Week 3Lesson 11How can we solve problems by adding and subtracting negative numbers?We will apply our understanding of negative numbers to a multitude of problems and understand the difference between two numbers can be positive or negative but the distance is always positive this will help us apply existing subtraction strategies to negative numbers. We will also work with tables to use these strategies in context of real world applications.Unit 3The Coordinate PlaneThe Coordinate Plane3 lessons1 WeekWeek 3Lesson 12What is a coordinate plane?We will use our knowledge of negative numbers and the number line to expand to understanding the coordinate plane beginning with identifying quadrants and plotting points in them. We will also construct appropriate coordinate planes to display specific points including choosing a scale.Lesson 13What do the points on a coordinate plane mean?We will work on connecting meaning to the coordinate plane including financial contexts to interpret points on a plane and axis. We will use the coordinate plane to solve problems and represent complex situations.Lesson 14How can we find the distance on a coordinate plane?We will find vertical and horizontal distances between pairs of points in the coordinate plane and draw shapes on the coordinate plane using this knowledge.Unit 4Multiplying and Dividing Rational NumbersMultiplying and Dividing Rational Numbers4 lessons2 WeeksWeek 3Lesson 15How do we multiply negative numbers?We will use negative numbers to represent situations using position, speed, and direction. We will practice multiplying two negative numbers and construct models and explanations for why we get a positive result.Week 4Lesson 16How do we multiply positive and negative numbers?We will expand our understanding of multiplying negative numbers and look for patterns to understand what happens when we multiply negative and positive numbers. We will use these skills to solve problems and review multiplying by reciprocals to prepare for division.Lesson 17How can we divide with negative numbers?We will expand our work with signed numbers to all four operations by working with division. We will develop rules for dividing signed numbers based on the relationship between multiplication and division and our previous work with proportional relationships.Lesson 18Can a rate be negative?We will explore negative rates of change which will be an important foundation for linear functions in pre-algebra. We will apply our understanding of signed numbers to real world historical contexts involving travel.Unit 5Equations with Rational NumbersEquations with Rational Numbers3 lessons2 WeeksWeek 4Lesson 19How can we represent problems with expressions using negative numbers?In this lesson we will highlight expressions and variables in our work with negative numbers and challenge common misconceptions as we develop our signed number sense through evaluation expressions involving negative numbers.Lesson 20How can we solve equations with rational numbers?We will expand our knowledge of using inverse operations to solve equations and apply it to negative numbers.Week 5Lesson 21How can we represent contexts with equations using negative numbers?We will practice constructing equations which represent contexts and write our own equations using negative numbers to represent given contacts. We will also practice using the structure of an equation to determine if the solution is a positive or negative number.Unit 6Putting It To WorkPutting It To Work4 lessons1 WeekWeek 5Lesson 22How can we make art using the coordinate plane?We will do some directed drawing using the coordinate plane and then we will create individual art work using the coordinate plane.Lesson 23How can we understand the stock market using negative numbers?We will apply our knowledge in a culminating project allowing us to understand the stock market using what we've learned so far.Lesson 24Bonus DayThis unit includes a bonus day that can be moved throughout the lesson to provide additional support on any challenging topic, pre-test review, or enrichment if no review or support is needed.Lesson 25What have we learned?We will close the unit with an assessment to confirm mastery and inform future instruction.
6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers. 7.NS.A Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. 7.EE.A Use properties of operations to generate equivalent expressions. 7.EE.B Solve real-life and mathematical problems using numerical and algebraic expressions and equations. 7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems. 6.G.A Solve real-world and mathematical problems involving area, surface area, and volume. 7.MP.1 Make sense of problems and persevere in solving them. 7.MP.2 Reason abstractly and quantitatively. 7.MP.3 Construct viable arguments and critique the reasoning of others. 7.MP.4 Model with mathematics. 7.MP.5 Use appropriate tools strategically. 7.MP.6 Attend to precision. 7.MP.7 Look for and make use of structure. 7.MP.8 Look for and express regularity in repeated reasoning.
I have been completed three college-level courses on common-core math instruction. I have worked as a math instructor for middle school students in a private school setting. I have ten years of experience as a math tutor including working with students from ages 5 (kindergarten) to 25 (Graduate Readiness Exam).
Homework Offered
Students may have ten-fifteen minutes of practice each day depending on time management during class. Each day students will be given one practice problem to complete neatly in notebooks.0 - 1 hours per week outside of class
Assessments Offered
Learners will receive weekly written reports.Grades Offered
This class is designed by an AUDHD/Dyspraxic Educator - slides and fonts designed to support dyslexia and visual processing - ability to type and use virtual drawing tools - communication aids including chat - ND Affirming classroom
Students should have some experience with foundational algebra or middle school ideas including solving simple equations and fluency in operations with fractions and decimals.
Learners will need standard school supplies such as a notebook, pencil, ruler, highlighter, scissors, and tape/glue.
In addition to the Outschool classroom, this class uses:
We will be using nearpod during this class. Students will need to click a link in chat and enter their first name or initial into the program. Students should be reminded not to use their full name. Students will also need access to scissors and may require adult supervision or support.
Popular
Average rating:5.0Number of reviews:(272)
Hello, I have thirteen years of experience in education. As an eclectic academic learner, I had lots of opportunities to benefit others with my unique understanding and gifted perspective as a twice exceptional learner. I hold a master’s degree in...
Group Class
$75
weekly or $375 for 25 classes5x per week, 5 weeks
50 min
Completed by 4 learners
Live video meetings
Ages: 10-14
3-6 learners per class
