Jan 26, 2016 - With the concept of ratio equivalence formally defined, students explore collections of equivalent ratios in real world contexts in Topic B.  They build ratio tables and study their additive and...

Jan 26, 2016 - In Topic C, students build further on their understanding of ratios and the value of a ratio as they come to understand that a ratio of 5 miles to 2 hours corresponds to a rate of 2.5 miles per hour...

Jan 26, 2016 - Topic A focuses on the development of the number line in the opposite direction (to the left or below zero).  Students use positive integers to locate negative integers, understanding that a number...

Jan 26, 2016 - In Topic B, students apply their understanding of a rational number’s position on the number line (6.NS.C.6c) to order rational numbers.  Students understand that when using a conventional horizontal...

Jan 26, 2016 - In Topic C, students extend their understanding of the ordering of rational numbers in one dimension (on a number line) to the two-dimensional space of the coordinate plane.  They construct the plane...

Jan 26, 2016 - In Grades 4 and 5, students used concrete models, pictorial representations, and properties to divide whole numbers (4.NBT.6, 5.NBT.6).  They became efficient in applying the standard algorithm for...

Jan 26, 2016 - In Topic G, students are introduced to the fact that equations have a structure similar to some grammatical sentences.  Some sentences are true:  “George Washington was the first president of the...

Jan 26, 2016 - In Topic A, students use composition and decomposition to determine the area of triangles, quadrilaterals, and other polygons.  They determine that area is additive.  Students learn through...

Jan 26, 2016 - In Topic H, students use their prior knowledge from Module 1 to contruct tables of independent and dependent values in order to analyze equations with two variables from real-life contexts.  They...

Jan 26, 2016 - Students represent letters with numbers and numbers with letters in Topic C.  In past grades, students discovered properties of operations through example (1.OA.B.3, 3.OA.B.5).  Now, they use letters...

Jan 26, 2016 - Module 5 concludes with deconstructing the faces of solid figures to determine surface area.  Students note the difference between finding the volume of right rectangular prisms and finding the...