This course is designed to formalize and extend the mathematics that students learned in elementary school. Students connect ratio and rate to whole number multiplication and division and use concepts of ratio and rate to solve problems. Students formalize an understanding of division of fractions and extend their learning to the system of rational numbers, including ordering and comparing negative numbers. Students develop their algebraic thinking through writing, interpreting, and using expressions and equations. Students develop an understanding of statistical thinking. Throughout this course, students will persevere in problem solving, engage in mathematical arguments, model mathematics, communicate with precision, discern patterns and structures, and analyze the whole situation and work with the details. Students will utilize both content and practice in the context of real world situations.
Key Course Learning Experiences
(example is for 6th grade, descriptions adapted from the Unit narrative)
Area and Surface Area
Unit Rates and Percentages
Arithmetic in Base Ten
Expressions and Equations
Data Sets and Distributions
Students learn about populations and study variables associated with a population. Students make and interpret histograms, bar graphs, tables of frequencies, and box plots. Students work with measures of center and measures of variability.
Essential Learning Goals
1. Attends to precision (40%)
Work shown displays the correct procedures to solve problems.
2. Problem Solving (40%)
Apply and adapt a variety of appropriate strategies to solve problems.
3. Communication (20%)
Coherently communicates mathematical thinking both spoken and written.
Major Assessments and Success Criteria
Students will engage in formative practices, summative assessments, and performance tasks employing the Essential Learning Goals as applied to proportional reasoning, rational numbers, algebraic reasoning, and statistical thinking. Through a process of reflection and revision, students will work towards mastery of his/her learning. Assessments will be multifaceted with an emphasis on skills that will enhance their upper level math thinking, and will relate mathematics to the real world.