Rational Numbers and Exponents: Students will deepen their understanding of rational numbers, as they investigate irrational numbers and their place in the number system. Students will also consider exponents and how solving for a base can yield a rational or irrational number.
In this unit, students learn about translations, reflections, and rotations in the plane and how to use them to define the concept of congruence. They will learn to use and apply knowledge of rigid motions to determine similarity and congruence when solving real world problems. They will learn to identify a sequence of transformation that will map a figure onto itself. Students will learn to prove/disprove similarity/congruence using translations, reflections and rotations. Students will learn to use knowledge of angle pairs, degrees of a triangle and exterior angles to solve for missing angles. Students will learn to use the Pythagorean Theorem to find missing sides of a triangle, find distance in the coordinate plane, and solve real-world problems.
In this unit the students will learn to identify properties of dilations and compositions of dilations, describe the effect of dilations on two-dimensional figures in general and using coordinates. They will apply the Pythagorean Theorem to two and three dimensions using real world examples.
Students will extend their understanding of equations to represent real world contexts to consider linear equations. Students will leave this unit able to solve linear equations and recognize the number of solutions to a linear equation.
Students will learn to define, evaluate, and compare functions. They will solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Students will learn to use functions to model relationships between quantities. The students will develop an understanding of congruence and similarity using physical models, transparencies, or geometry software. They will also learn to investigate patterns of association in bivariate data.
