Students compare two different quadratic, square root, or cube root functions represented as graphs, tables, or equations. They interpret, contextualize, and abstract various scenarios to complete the comparative analysis.

In this lesson, students compare and contrast the main ideas in two texts on the same topic.

In this lesson, students compare and contrast the main ideas and key details in two texts on the same topic.

In this lesson, students compare and estimate quantities in the form of a single digit times a power of 10. Students use their knowledge of ratios, fractions, and laws of exponents to simplify expressions.

In this lesson, students understand that a meaningful difference between two sample means is one that is greater than would have been expected due to just sampling variability.

Students will be able to rewrite quadratic expressions given in standard form, ax^2 + bx +c (with a not equal to 1), as equivalent expressions in completed-square form, a(x - h)^2 + k. They build quadratic expressions in basic business application contexts and rewrite them in equivalent forms.

Students will understand transformations by first exploring the notion of linearity in an algebraic context. This quickly leads to a return to the study of complex numbers and a study of linear transformations in the complex plane.

In this lesson, students are given a scale drawing to compute the lengths in the actual picture using the scale. Students identify the scale factor in order to make intuitive comparisons of size then devise a strategy for efficiently finding actual lengths using the scale.

Given a scale drawing, students compute the lengths in the actual picture using the scale factor.Given a scale drawing, students compute the lengths in the actual picture using the scale factor.

Given Drawing 1 and Drawing 2 (a scale model of Drawing 1 with scale factor), students understand that Drawing 1 is also a scale model of Drawing 2 and compute the scale factor. Given three drawings that are scale drawings of each other and two scale factors, students compute the other related scale factor.

In this lesson, students compute unit rates associated with ratios of quantities measured in different units. Students use the context of the problem to recall the meaning of value of a ratio, equivalent ratios, rate and unit rate, relating them to the context of the experience.

In this lesson, students compute the length of horizontal and vertical line segments with integer coordinates for endpoints in the coordinate plane by counting the number of units between end points and using absolute value.

For this lesson, students know how to compute the average rate of change in the height of water level when water is poured into a conical container at a constant rate.

In this lesson, students compute volumes of three-dimensional objects composed of right prisms by using the fact that volume is additive.

In this lesson, students communicate conclusions based on the data distribution from sample data or data they have collected.

Lesson eases students into simulation by defining the real outcomes of an experiment and specifying a device to simulate the outcome. Then, students are carefully led to define how an outcome of the device represents the real outcome, define a trial for the simulation, and identify what is meant by a trial resulting in a success or failure.

Students learn why any two triangles that satisfy the AAS/HL congruence criteria must be congruent.

Students will study transformations and the role transformations play in defining congruence. The need for clear use of language is emphasized through vocabulary, the process of writing steps to perform constructions, and ultimately as part of the proof-writing process.

In this lesson, students know the definition of congruence and related notation. Students know that to prove two figures are congruent there must be a sequence of rigid motions that maps one figure onto the other. Students know the basic properties of congruence are similar to the properties for all three rigid motions (translations, rotations, and reflections).