Writing Geometric Relationships
Given information in a geometric context, students will be able to use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
Solutions of Simultaneous Equations
Given a graph of two simultaneous equations, students will be able to interpret the intersection of the graphs as the solution to the two equations.
Comparing and Explaining Transformations
Given rotations, reflections, translations, and dilations, students will be able to develop algebraic representations for rotations, and generalize and then compare and contrast the properties of congruence transformations and non-congruence transformations.
Mean Absolute Deviation
Given a set of data with no more than 10 data points, students will be able to determine and use the mean absolute deviation to describe the spread of the data.
Generalizing about Populations from Random Samples
Given a population with known characteristics, students will be able to use a variety of methods to generate random samples of the same size in order to understand how a random sample is representative of a population.
Estimating and Finding Solutions to Problems Involving Similarity and Rates
Given application problems involving similarity and rates, the student will estimate and determine the solutions to the problems.
Generating Similar Figures Using Dilations
Given a figure, the student will identify the scale factor used for a dilation, and use a dilation by a scale factor, including enlargements and reductions, to generate similar figures.
4 OnTRACK Grade 7 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
19 OnTRACK Grade 7 Math: Proportionality
Students will learn to use proportional relationships to describe dilations; to explain proportional and non-proportional relationships involving slope; and to use proportional and non-proportional relationships to develop foundational concepts of functions.
7 OnTRACK Grade 7 Math: Expressions, Equations, and Relationships
Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
4 OnTRACK Grade 8 Math: Number and Operations
Students will learn how to apply mathematical process standards to represent and use real numbers in a variety of forms.
11 OnTRACK Grade 8 Math: Proportionality
Students learn to to use proportional relationships to describe dilation; explain proportional and non-proportional relationships involving slope; and use proportional and non-proportional relationships to develop foundational concepts of functions.
9 OnTRACK Grade 8 Math: Expressions, Equations, and Relationships
Students will learn to develop mathematical relationships and make connections to geometric formulas; use geometry to solve problems; use one-variable equations or inequalities in problem situations; and use multiple representations to develop foundational concepts of simultaneous linear equations.
5 OnTRACK Grade 8 Math: Two-Dimensional Shapes, Measurement, and Data
Students will learn to develop transformational geometry concepts and to use statistical procedures to describe data.
6 Chapter 3: Kinematics
In this chapter, we analyze the motion of constantly accelerated objects over time in terms of displacement, velocity, and acceleration.
5 Chapter 6: Waves
In this chapter, we explore the mathematical concept of a wave and show how this concept can be used to accurately describe and predict many natural phenomena.
3 Chapter 7: Static Electricity
In this chapter, we explore how electrically charged particles interact through electrostatic forces and fields.
3 Chapter 1: Nature of Science and Scientific Ethics
In this chapter, we explore the nature of science itself, including its practice, ethics, and impact.
5 Chapter 2: Tools of Physics
In this chapter, we discuss several ideas and tools that will be helpful in our introductory study of physics.
5 Chapter 4: Newton's Laws and Momentum
In this chapter, we introduce Newton's laws, and then explore the concepts of momentum and conservation of momentum.