Develop a Deep and Flexible Conceptual Understanding


Students will continue applying mathematical concepts to their everyday lives. They will apply the concept of proportionality to the realworld to understand and explain the relationship between tables, graphs, symbols, and verbal descriptions. Comparisons and links between unit rates, proportions, rates of change, and slope are front and center as students move between multiple representations. Students are able to flow freely between percents, decimals, and fractions.

Develop Accurate and Appropriate Procedural Fluency 

Students begin building algorithms and functionally applying them to their conceptual knowledge. Formulas and procedures are discovered and developed to determine areas of trapezoids, find area and perimeter of composite figures, and calculate circumference and area of circles so that students can make sense of how these concepts apply to real life. As students begin using symbols to solve mathematical situations, they will apply an understanding of properties of operations and how they allow building of equivalent expressions as well as order of operations. This ensures the ability to check for reasonableness when using technological tools like calculators.

Develop Strategies for Problem Solving 

Students are using concepts and procedures to make decisions on how to approach challenging realworld situations. They determine reasonableness of different approaches of problem solving and judge the efficiency of multiple modes. Students begin designing experiments, collecting data, and making predictions about measures of central tendency, scale representations, and probability. They are using a variety of tools in mathematics and can determine when it is useful and necessary to use technology and tools to deal with data.

Develop Mathematical Reasoning 

Students begin developing sound abilities to explain real world situations mathematically using words, symbols, graphical representations, and tables. They apply proportional reasoning to assess whether solutions are mathematically sound.

Develop a Productive Mathematical Disposition 

Students understand that math is useful and worthwhile. They will be able to use strategies and reason to overcome mathematical obstacles as they continue to apply the idea of proportionality to everyday life. Tables, graphs, symbols, and verbal descriptions find their place in studentsâ€™ lives as they understand the usefulness of each in different situations.

Develop the Ability to Make Conjectures, Model, and Generalize


Students begin developing algorithms and procedures through the actions of identifying patterns, making tables, predicting how identified information will apply to unknown situations, and then establishing future processes. Measures of central tendency and graphic representations help students to draw conclusions and apply their findings to rationalize the real world.

Develop the Ability to Communicate Mathematically 

Students use mathematical terminology to describe their surroundings and real life situations. They are able to communicate effectively with peers and teachers as well as those without a thorough mathematical background to explain their understanding of mathematical concepts. Students should be provided with opportunities to engage in explorations and discussion on a regular basis both orally and in writing.

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