In this unit, students are introduced to ratios, rates, proportional reasoning, similarity and congruence. Students explore ratio as a comparison of two quantities. They discover that if the ratio between the corresponding side lengths and angle measures of two figures is 1:1 (i.e., the measures are identical), then the geometric figures are congruent. They learn that for two figures to be similar, their corresponding side lengths must be in proportion and their corresponding angles must be congruent. Students also explore the relationship between congruence and similarity, learning that al
In 3570, scientists discover that more creatures are sharing the galaxy with humans: namely the Awentys and the Jaspiters. The Awentys have three eyes and flaming red skin; the Jaspiters have blue and green skin and a tail made of thorns. A few years later, scientists discover evidence that mythological creatures and deities might exist, yet they cannot guess who and where they are. But little do the humans know that Awentys are not so friendly. It starts secretly, but soon it becomes clear that Awentys want to
The Student Mathematician’s Journal allows students to explore simulated or real-life problems and help them to think, write, and read like mathematicians. It encourages students to reflect on what they have learned in each lesson, think deeply about mathematics, and communicate in writing on worksheets.
In this unit, students explore percents in depth. They begin with understanding percents as a part/whole ratio, comparing a given part to 100, which represents the original whole. In this way, the study of percent is linked to the study of proportionality
OpenSciEd Middle School science program addresses all middle school NGSS standards. This comprehensive science curriculum empowers students to question, design, investigate, and solve the world around them.