Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
a. Make tables of equivalent ratios relating quantities with whole-number measurements, finding missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. (to be taught C and P)
b. Solve unit rate problems including those involving unit pricing and constant speed. (to be taught P and A)
c. Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. (to be taught P and A)
d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. (to be taught C and P)
e. Understand the concept of Pi as a ratio of the circumference of a circle to its diameter. (to be taught C)
• create and interpret a table of equivalent ratios.
• plot pairs of values from a table to a coordinate plane
• use a table to compare ratios and find missing values using ratios.
• explain the difference between a ratio and a unit rate.
• understand that rate problems compare two different units, such as revolutions per minute or miles per hour.
• solve real-world problems using ratios and rates.
• reason to determine the better buy.
• write a percent as a rate over 100, including percents greater than 100 and less than 1.
• find the percent of a number using rate methods.
• represent the relationship of part to whole to describe percents using models.
• convert units by multiplication or division. • understand and explain that Pi is a ratio of the circumference of a circle to its diameter. • determine whether two ratios are equivalent, based on the description of equivalent ratios, using tape diagrams, double number line diagrams, and/or equivalent ratio tables. • create and complete an equivalent ratio table, tape diagram, and/or double number line diagram to solve problems. • calculate the percent of a given number by using visual representations (e.g., strip diagrams, percent bars, one-hundred grids) • find the whole when given both the part and the percent using tape diagrams, double number line diagrams, and tables of equivalent ratios
In class, we complete the MATH workshop each period. This is a blended, rotation model of teaching where your student is receiving the standards in multiple different settings while completing many different activities. This allows me to have time with your students in a very small group setting to help when necessary further develop the understanding of the standards..
DIA 2 (ratios) will be on Thursday/Friday 11.15-11.16 for all Periods
The week students will be assigned the following to practice class concepts:
Period 2: S6
Period 5 and 7: S6
students are expected to reach at least an 80% on these assignments.
Mathspace: (Thursday/Friday) None
Please make sure all work is submitted before the DIA on Thursday/Friday as review.
If additional help is needed, students are encouraged to view a lesson regarding a given topic on Khan Academy. This website is free and provides both video instruction as well as practice problems.
Students are able to complete additional practice on both Mathspace and IXL
**** Accommodations provided as needed
Please contact me as needed: Remind @ih6math or email: firstname.lastname@example.org