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.
b. Solve unit rate problems including those involving unit pricing and constant speed.
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.
d. Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
e. Understand the concept of Pi as a ratio of the circumference of a circle to its diameter.
• understand that if two ratios are equivalent, the ratios have the same value.
• identify both the additive and multiplicative structure of an equivalent ratio table and use the structure to make additional entries in the table.
• 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.
• use the value of a ratio to solve ratio problems in a real-world context.
• compare different ratios using two or more equivalent ratio tables.
• plot corresponding values from an equivalent ratio table on a coordinate plane.
• calculate the unit rate.
• solve problems by analyzing different unit rates given in tables, equations, and graphs.
• model percents and write a percent as a fraction over 100 or a decimal to the hundredths place.
• calculate the percent of a given number by using visual representations (e.g., strip diagrams, percent bars, one-hundred grids)
• write a percent as a rate per one-hundred.
• find the whole when given both the part and the percent using tape diagrams, double number line diagrams, and tables of equivalent ratios.
• use a ratio as a conversion factor when working with measurements of different units.
• manipulate and transform units appropriately when multiplying or dividing quantities.
• understand and explain that Pi is a ratio of the circumference of a circle to its diameter.
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.
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 @ih6advance or email: firstname.lastname@example.org