## Topic outline

- General
### General

**Course Description**This course is designed to formalize and extend the mathematics that students learned in elementary school and sixth grade. Students extend their understanding of operations with rational numbers and develop their proportional reasoning in various contexts. Students develop their algebraic thinking through reasoning with diagrams, expressions, equations, and inequalities. Students build on their understanding of geometry and measurement, solving problems related to scaling, area, surface area, and volume. Students extend the understanding of statistics by drawing inferences about populations based on samples. 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**Scale Drawings

Students focus on scaling, scale factors, and scale drawings.

Proportional Relationships

Students build on their work with equivalent ratios to develop an understanding of proportional relationships.

Measuring Circles

Students extend their knowledge of circles and geometric measurement, applying their knowledge of proportional relationships to the study of circles.

Proportional Relationships and Percentages

Students extend their understanding of rates to include percentages.

Rational Number Arithmetic

Students develop their understanding of additional, subtraction, multiplication, and division of rational numbers.

Expressions, Equations, and Inequalities

Students solve equations and inequalities.

Angles, Triangles, and Prisms

Students reason about angle relationships and triangles. Students analyze and describe cross-sections of prisms, pyramids, and polyhedra. Students solve problems involving area, surface area, and volume.

Probability and Sampling

Students design and use simulations to estimate probabilities of outcomes of chance experiments and understand the probability of an outcome as its long-run relative frequency.

**Essential Learning Goals**1. Attends to Precision (40%)

Product created displays the correct processes to solve problems with appropriate units labeled.

2. Problem Solving (40%)

Apply and engage in productive struggle using a variety of effective strategies.

3. Communication (20%)

Coherently communicates mathematical understanding through discourse, written work, and illustrative display.

**Major Assessments and Success Criteria**Students will engage in formative and summative practices, along with performance tasks which align to the Essential Learning Goals. Students will demonstrate their current level of proficiency in the areas of proportional reasoning, measurement, algebraic reasoning, and probability. 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 mathematical thinking as it pertains to the real world.