Mathematics 8 is a course for eighth grade students that extends concepts and skills from previous grades and prepares students for the more abstract concepts in algebra. The course focuses on the development of problem-solving skills and the acquisition of mathematical vocabulary and symbols. Facility in the use of technology will not be a substitute for students' understanding of quantitative concepts and proficiency in basic computations.
Essential Questions: How do I become a mathematical problem solver to better understand the world around me? In what ways can I communicate and represent my mathematical thinking?
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Numeric and Algebraic Expressions: Neverending Numbers: Unit 1 (5 weeks) |
Equations and Inequalities: Setting Up a Domino Effect Unit 2 (5 weeks)
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Algebraic Relations and Functions: Know your Slope Unit 3 (4 weeks) |
Computation and Estimation: Money Adds Up Unit 4 (6 weeks) |
Geometry and Measurement: More Wonders of the Mathematical World Units 5 and 6 (10 weeks) |
Probability and Statistics: Which Choice will You Make? Unit 7 (3 weeks) |
Focus of the Story |
How do I apply my current understanding of number sense to incorporate irrational numbers? Our journey takes us into new territory leaving the comfort of rational numbers to explore the power of real numbers. This helps us expand our mathematical power to organize sets of numbers into subsets of the real number system. |
How do I apply previous knowledge of equations and inequalities to multi step situations? We step up our game to build algebraic fluency by manipulating equations and inequalities to find solutions. |
How do I expand my knowledge of representing relationships? We continue our exploration of slope from seventh grade by investigating equations with multiplicative and additive properties and representing them as scenarios, graphs, and equations. |
How do I become a savvy consumer? We further our trek to becoming effective consumers by understanding percent increase and decrease as well as applications involving tax, tip, discount, commission and interest. |
How do I apply geometric relationships in unique applications to determine the unknown? We expand our geometric knowledge to uncover angle relationships, applications of transformations, applications of surface area and volume and properties of the Pythagorean Theorem. |
How does data help me make informed decisions? Our journey comes to an end as we discover the impact of dependent and independent events on probability and represent data in box and whisker plots and scattergrams. |
Transfer Goals |
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Learning Targets |
I can describe, classify, and illustrate relationships among the subsets of the real number system. I can determine square roots as having both positive and negative values. I can estimate the numerical value of square roots that are not perfect squares. I can compare and order real numbers. |
I can solve and graph multi step equations and inequalities including practical problems. I can justify the mathematical plan and verify the solution or solution set. |
I can determine if a relation is a function and determine the domain and range of a function. I can represent linear equations as graphs, tables, words and describe the slope. |
I can solve practical problems involving consumer applications. |
I can verify and apply the Pythagorean Theorem, solve practical problems involving two and three dimensional figures and apply transformations in the coordinate plane. I can recognize angle relationships and apply to new situations. I can construct and recognize top, bottom, front, and side views of three dimensional models. |
I can compare and contrast probabilities of independent and dependent events. I can represent and analyze data in boxplots and scatterplots. |