Mar 18, 2016 - Grade 6 Module 4: Expressions and Equations
In Module 4, Expressions and Equations, students extend their arithmetic work to include using letters to represent numbers in order to understand that...
Aug 17, 2016 - Grade 6 Mathematics Module 1: Ratios and Unit Rates
Students begin their sixth grade year investigating the concepts of ratio and rate. They use multiple forms of ratio language and ratio notation,...
Mar 18, 2016 - Grade 6 Module 2: Arithmetic Operations Including Division of Fractions
In Module 1, students used their existing understanding of multiplication and division as they began their study of ratios and...
Mar 18, 2016 - Grade 6 Module 3: Rational Numbers
Students are familiar with the number line and determining the location of positive fractions, decimals, and whole numbers from previous grades. Students extend the...
Jul 12, 2016 - Grade 6 Module 6: Statistics
In this module, students move from simply representing data into analysis of data. Students begin to think and reason statistically, first by recognizing a statistical...
Apr 11, 2016 - Grade 6 Module 5: Area, Surface Area, and Volume Problems
In this module, students utilize their previous experiences in order to understand and develop formulas for area, volume, and surface area. ...
Jan 26, 2016 - Student Outcomes
Students understand that a ratio is an ordered pair of non-negative numbers, which are not both zero. Students understand that a ratio is often used instead of describing the first...
Jan 26, 2016 - Student Outcomes
Students reinforce their understanding that a ratio is an ordered pair of non-negative numbers, which are not both zero. Students continue to learn and use the precise language and...
Jan 26, 2016 - Student Outcomes
Students develop an intuitive understanding of equivalent ratios by using tape diagrams to explore possible quantities of each part when given the part-to-part ratio. Students use...
Jan 26, 2016 - Student Outcomes
Given a ratio, students identify equivalent ratios. Students use tape diagrams and the description of equivalent ratios to determine if two ratios are equivalent.
Students relate...
Jan 26, 2016 - Student Outcomes
Students use tape diagrams to find an equivalent ratio when given the part-to-part ratio and the total of those two quantities. Students use tape diagrams to find an equivalent...
Jan 26, 2016 - Student Outcomes
Students use tape diagrams to solve problems when given a ratio between two quantities and a change to those quantities that changes the ratio.
Jan 26, 2016 - Student Outcomes
Students understand the relationship between ratios and fractions. Students describe the fraction A/B associated with the ratio A:B as the value of the ratio A to B.
Students...
Jan 26, 2016 - Student Outcomes
Students understand the value of a ratio A:B is A/B. They understand that if two ratios are equivalent, the ratios have the same value. Students use the value of a ratio to solve...
Jan 26, 2016 - Student Outcomes
Students understand that a ratio is often used to describe the relationship between the amount of one quantity and the amount of another quantity as in the cases of mixtures or...
Jan 26, 2016 - Student Outcomes
Students identify both the additive and multiplicative structure of a ratio table and use the structure to make additional entries in the table.
Students use ratio tables to solve...
Jan 26, 2016 - Student Outcomes
Students create equivalent ratios using a ratio table and represent these ratios on a double number line diagram.
Students extend and use a double number line diagram to solve ratio...
Jan 26, 2016 - Student Outcomes
Students restate a ratio in terms of its value; e.g., if the ratio of length A to length B is 3:5 (in the same units), students state that “length A is 3/5 of length B”, “length B is...
Jan 26, 2016 - Student Outcomes
Students associate with each ratio A:B the ordered pair (A, B) and plot it in the x-y coordinate plane.
Students represent ratios in ratio tables, equations, and double number line...
Jan 26, 2016 - Student Outcomes
Students associate with each ratio A:B the ordered pair (A, B) and plot it in the x-y coordinate plane.
Given a ratio table, students plot the ratios in the plane and observe that...
Jan 26, 2016 - Student Outcomes
Students recognize that they can associate a ratio of two quantities, such as the ratio of miles per hour is 5:2, to another quantity called the rate.
Given a ratio, students...
Jan 26, 2016 - Student Outcomes
Given a rate, students find ratios associated with the rate, including a ratio where the second term is one and a ratio where both terms are whole numbers.
Students recognize that...
