In this unit, students explore the world of the research scientist and learn how gathering, representing, and analyzing data are the essence of good research. Lessons cover cafeteria surveys, Olympic competition data, the effects of exercise on heart rates, and local weather research.
The Teacher Guide is designed to provide background information on the mathematics being taught in this unit, the le
In this unit, students discover the mathematics behind number tricks and variable puzzles. These experiences and discussions provide a rich context for introducing students to algebraic thinking, while strengthening their problems solving and mathematical communication skills.
The Teacher Guide is designed to provide background information on the mathematics being taught in this unit, the learning e
In this unit, students explore 2- and 3-dimensional shapes with a focus on their properties, relationships among them, and spatial visualization. The reasoning skills that they build upon in this unit help them to develop an understanding of more complex geometric concepts.
The Teacher Guide is designed to provide background information on the mathematics being taught in this unit, the learning envi
This unit provides an introduction to fractions, focusing on the meaning of mathematical operations in contextual situations rather than learning algorithms to perform computations. Students will learn the relative sizes of fractions and make estimates based on their mathematical thinking when ordering, comparing, adding, subtracting, multiplying or dividing two or more fractions.
The Teacher Guide<
In this unit, students learn about algebra as a set of concepts tied to the representation of relationships either by words, tables or graphics. They extend their notion of variable from a letter in an equation that represents a number to a more broad definition, that of a quantity that varies or changes. Students also study constant and varying rates of change as an intuitive introduction to slope.
The
In this unit, students are introduced to similarity, congruence, and scale factors and explore ratio as a comparison to two quantities. The foundational mathematics behind these concepts is proportional reasoning, and student will learn how to use proportions to solve problems.
The Teacher Guide is designed to provide background information on the mathematics being taught in this unit, the learning
The Teacher Guide is designed to provide background information on the mathematics being taught in this unit, the learning environment, mathematical communication, and differentiated instruction. Also included: