Advanced Mathematics 7 is a course for seventh grade students that extends concepts and skills learned in Advanced Math 6 and prepares students for more abstract concepts in algebra and geometry. The course focuses on computation with rational numbers and the use of proportions to solve a variety of problems. Facility in the use of technology will not be a substitute for students' understanding of quantitative concepts and proficiency in basic computations. The course objectives provide a solid foundation for Algebra I.
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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Pacing |
Number and Number Sense: Don’t be Irrational Unit 1 (5 weeks)
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Equations and Inequalities: How would you organize? Unit 2 (6 weeks) 
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Algebraic Relations and Functions: Accessibility using Slope Unit 3 (5 weeks)
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Computation and Estimation: What’s the true cost? Unit 4 (5 weeks) 
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Geometry and Measurement: What’s your angle? Units 5 & 6 (9 weeks) 
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Probability and Statistics: Which choice will you make? Unit 7 (4 weeks) 
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Focus of the Story |
How do I apply my current understanding of number sense to incorporate irrational numbers? Our journey begins with the discovery of how to compare, order, and organize numbers into subsets of the real number system. We also evaluate and simplify algebraic expressions. |
How do I apply previous knowledge of equations and inequalities to multi-step situations? Next we use real numbers with variables to navigate combining like terms. We explore single solutions and solution sets using the distributive property to solve equations and inequalities. |
How do I expand my knowledge of representing relationships? We continue to build on our understanding of linear equations by investigating equations with multiplicative and additive properties and representing them as tables, graphs, words and equations. We explore the independent and dependent variables of linear equations. |
How do I become a savvy consumer? We now apply our knowledge of numbers and equations to become effective consumers by understanding percent increase and decrease as well as applications involving tax, tip, discount, commission and interest. In addition, we solve practical problems using proportional reasoning. |
How do I apply geometric relationships in unique applications to determine the unknown? We look at another application of working with equations by discovering applications of surface area and volume, properties of quadrilaterals, and properties of the Pythagorean Theorem. We then move to the analysis of angle relationships and transformations. |
How does data help me make informed decisions? Lastly, our adventure comes to an end as we investigate the differences between theoretical and experimental probability and discover the impact of dependent and independent events on probability. We also represent data in box and whisker plots and scattergrams. |
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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 positive and negative square roots and estimate square roots. I can compare and order real numbers. I can identify and describe the absolute value of rational numbers. I can evaluate and simplify algebraic expressions. |
I can solve multi-step equations including practical problems.. I can solve and graph two-step and multi-step inequalities including practical problems. I can identify the independent and dependent variables in practical situations. |
I can make connections between and among representations of a proportional and additive relationship in different forms. I can determine if a relation is a function and determine the main and range of a function. I can represent linear equations as graphs, tables, words and identify/describe the slope. I can identify the independent and dependent variables in practical situations. |
I can solve practical problems involving operations with rational numbers and using proportional reasoning. 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 solve practical problems involving measured attributes of similar figures. 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 determine and describe the difference between the theoretical and experimental probability of an event. I can compare and contrast probabilities of independent and dependent events. I can represent and analyze data in boxplots and scatterplots. |
