Curriculum and Unit Breakdown

Math Curriculum

The 7th grade curriculum follows Illustrative Mathematics.  The units are as follows:

Unit 1:  Scale Drawings

In this unit, students study scaled copies of pictures and plane figures, then apply what they have learned to scale drawings (maps and floor plans).  This provides geometric preparation for grade 7 work on proportional relationships as well as grade 8 work on dilations and similarity.

Unit 2:  Introducing Proportional Relationships
In this unit, students develop the idea of a proportional relationship out of the grade 6 idea of equivalent ratios.  Proportional relationships prepare the way for the study of linear functions in grade 8.

Unit 3:  Measuring Circles
In this unit, students extend their knowledge of circles and geometric measurement.  They extend their grade 6 work with perimeters of polygons to circumferences of circles, and recognize that the circumference of a circle is proportional to its diameter, with constant of proportionality pi.  They encounter informal derivations of the relationship between area, circumference, and radius.

Unit 4:  Proportional Relationships and Percentages
In this unit, students deepen their understanding of ratios, scale factors, unit rates (also called constants of proportionality), and proportional relationships, using them to solve multi-step problems that are set in a wide variety of contexts that involve fractions and percentages.

Unit 5:  Rational Number Arithmetic
In this unit, students extend the operations of addition, subtraction, multiplication, and division to all positive and negative rational numbers.

Unit 6:  Expressions, Equations, and Inequalities
In this unit, students solve equations of the forms px + q = r and p(x +q) = r, and solve related inequalities, e.g., those in the form px + q > r, where p, q, and r are rational numbers.

Unit 7:  Angles, Triangles, and Prisms
Students investigate angle relationships, learning to understand the terms "complementary", "supplementary", and "vertical" angles.  They also understand and use the formula for the volume of prisms, and solve problems involving area, surface area, and volume.

Unit 8:  Probability and Sampling
In this unit, students represent sample spaces, and calculate the probability of a given event.  They generate samples from a given population, and examine the distributions of the samples, comparing these to the distribution of the population.  They compare two populations by comparing samples from each population.