In this case the teacher is increasing student understanding of functions in …
In this case the teacher is increasing student understanding of functions in preparation for their work with linear functions and students are communicating their understanding after doing a "growing dots" activity, discussing the tables, graphs, equations, and statements as they determine how to find the 100th term.
This case shows a teacher managing investigations focused on how a diet …
This case shows a teacher managing investigations focused on how a diet high in fat and calories could reduce the blood flow through the arteries and students working cooperatively as they measure, record, and analyze data.
In this case the teacher is facilitating groups working on an activity …
In this case the teacher is facilitating groups working on an activity using algebra tiles and students are collaborating on how to visually represent an equation by performing 'legal moves' to simplify the equation to find what x is equal to.
In this case the teacher is facilitating a jigsaw activity on ratio …
In this case the teacher is facilitating a jigsaw activity on ratio word problems and small groups of students are solving problems using bar models and are responsible for knowing their unique solutions so they can teach their problem to a new group of students.
This case shows a teacher discussing with her class how to find …
This case shows a teacher discussing with her class how to find the area of a section of farmland using Google Earth and students engaged in mathematical discourse to see how each student determined the area.
This case shows a teacher introducing the calculus method of approximation of …
This case shows a teacher introducing the calculus method of approximation of functions through the use of power series and students working in groups to explore series concepts both algebraically, graphically, and finally with the associated calculus.
This case shows a teacher effectively leading her students through a lesson …
This case shows a teacher effectively leading her students through a lesson on probability and students using fractions to represent the probabilities they are finding while engaging in mathematical discourse to show their thinking.
In this case the teacher is facilitating students calculating ratios and unit …
In this case the teacher is facilitating students calculating ratios and unit rate based on beads in bracelets and the students are creating models to become familiar with the differences between rate and unit rate.
In this case the teacher is developing the ideas of Euler's method …
In this case the teacher is developing the ideas of Euler's method by using slope fields to gather information about solutions to differential equations and students are engaged in an activity using a single tangent line approximation and the slope field to draw an approximate particular solution to the differential equation.
In this case the teacher is reinforcing and connecting the topics of …
In this case the teacher is reinforcing and connecting the topics of slope, correlation, graphing, and functions by having students answer the question, "What contains more calories, fat or sugar?" and students are analyzing and discussing two graphs, ultimately choosing and applying the appropriate methods to find an answer to the essential question.
In this case the teacher is facilitating the understanding of students with …
In this case the teacher is facilitating the understanding of students with regards to properties of special quadrilaterals and students are classifying different types of polygons and quadrilaterals, analyzing why each one is a particular shape and applying these properties to different shapes.
This case shows a teacher using real-world problems to make algebra more …
This case shows a teacher using real-world problems to make algebra more relevant to students and students working with salary problems collaboratively, using logic and reasoning, to determine which choice would pay more money over time.
This case shows a teacher working with students in a statistics class …
This case shows a teacher working with students in a statistics class and students preparing conclusions for their formal presentations, supporting their evidence with the quantitative and qualitative data they have collected.
This case shows a teacher effectively helping students understand how to represent …
This case shows a teacher effectively helping students understand how to represent fractions with unlike denominators and students fully engaged in an activity using fraction cubes and mathematical reasoning as they communicate their thinking to each other.
In this case the teacher is facilitating small groups of students bridging …
In this case the teacher is facilitating small groups of students bridging together previous lessons about properties of functions and their relationship to derivatives and the students are using manipulatives collaboratively to deepen their conceptual understanding in multiple ways: visually, numerically, verbally and graphically.
In this case the teacher is using whole-class discussion to help students …
In this case the teacher is using whole-class discussion to help students compare properties of quadratic equations and students are taking notes and answering questions while brainstorming ways these comparisions can be made through analysis of similarities and differences.
In this case the teacher is assisting students in understanding the differences …
In this case the teacher is assisting students in understanding the differences between theoretical and experimental probabilities and students are engaged in working with the two types of probabilities by performing trials using a game board and a die.
This case shows a teacher using written number sentences on the whiteboard …
This case shows a teacher using written number sentences on the whiteboard to help her students understand what a function is, and students helping her with the placement of the sentence strips according to their growing understanding.
This case shows a teacher working effectively with students on how to …
This case shows a teacher working effectively with students on how to compound interest and students predicting which variables would have the greatest effect on an investment, manipulating one variable at a time to see which of four investments would yield the greatest return.
In this case the teacher is engaging her class in a discussion …
In this case the teacher is engaging her class in a discussion of angles formed by a pair of parallel lines cut by a transversal and students are applying inductive and deductive reasoning skills to find out the relationships between these, discovering patterns, and determining whether their conclusions are valid and logical.
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