This bundle includes all resources created for Complex Fractions, Proportional Reasoning and Practice with Percents. There is also a product that includes vocabulary related activities. The total combined value is $28.25. I have included two related freebie products as well.
Complex Fractions - 7.RP.1 (19 pages)
The following components listed below were created for the instruction of complex fractions. Students practice computing unit rates associated with ratios of fractions. Teachers may begin by using the exploratory practice problems along with the guided notes. A Frayer model for complex fractions along with a vocabulary writing activity are included. While completing the “You are the Teacher” component, students have an opportunity to be the teacher when they identify the error and offer advice on incorrect problems. The Partner Practice activity allows students to each determine one of the possible unit rates for each one of four problems. The last activity involves four complex fractions that could be used as independent practice or as an assessment.
Frayer Model – Complex Fractions
Exploratory Complex Problems/Guided Notes
Independent Practice Problems (4 problems)
You are the Teacher – Find the Error Problems (4 problems)
Partner Practice Problems (4 problems)
Vocabulary Exercise (Ratio, Rate, Unit Rate and Complex Fractions)
Complex Fractions Quiz – 8 questions
Proportional Reasoning - 7.RP.2 (27 pages)
This mini-bundle includes four products that are also available for individual purchase. The combined value is worth $8.
Proportional Relationships Task Cards
This product includes twenty task cards divided into five stations about proportional reasoning. The stations include four questions on each of the following: graphs, tables, verbal descriptions, equations and ratios. Students are asked to explain how they know if a proportional relationship exits in a graph, table, and a verbal description. Students are also asked to calculate the constant of proportionality and to identify it in a table, graph and equation.
Proportional Relationships Worksheets (Table, Graph, Equation)
This product includes a problem in which students determine the unit rate, independent and dependent variables in order to create a table, graph and equation. Eight additional questions address the constant of proportionality (in a table, graph, equation and verbal description), equivalent ratios and proportional relationships.
An additional problem has students examine two gym memberships. Students create a table, graph and an equation for both memberships. Follow-up questions are asked in order for students to explore whether or not the memberships represent a proportional relationship. A two question exit slip is also provided.
Proportional Relationship Worksheet
This product has students examine the relationship between the independent variable (x) and dependent variable (y). Students will explore the constant of proportionality (k). The two page worksheet has students calculate the constant of proportionality, write an equation and determine the missing values in the table. The second part of the worksheet asks students to find the missing values in a table if they are provided the constant of proportionality. Students are also asked to explain how they would know if two variables are proportional and how they would know two variables are not proportional in a table.
Proportional Relationship Quiz – 8 questions
This product includes a quiz on the 7.RP.2 Common Core Standards. Students are asked to explain their thinking and to provide work to support their answers. The questions cover independent and dependent variables, constant of proportionality, and proportional relationships that exist in a table, graph, equation and a verbal description. There are eight total questions worth ten points.
Practice with Percents - 7.RP.3 (24 pages)
This mini-bundle includes a resource for all of the following components:
Percent Change and Percent Error
This product consists of eight real-world problems in which students are asked to calculate the percent change (increase or decrease) or percent error. Students are provided a reference for each type of problem and space to calculate the answer. Students are also asked to create their own percent change or percent error problem.
Tax and Tip
This product consists of eight real-world problems in which students are asked to calculate the tax, tip and the total bill. The first four questions are centered around one restaurant bill. Each question addresses one part of determining the total bill. This page may be used for students that are beginning to understand all the parts needed to calculate the total bill. The second page includes four multi-step problems which ask students to determine the total bill including tax and tip. Some questions ask students to calculate how much each person will pay if the bill is divided evenly. One question also asks students to calculate the change provided after the bill has been paid.
This product consists of seven real-world problems in which students are asked to calculate commission earned. Students will examine possible commissions for careers involving real estate, insurance and retail sales. At the end of this assignment, students are asked to explain what skills would be essential for people interested in a sales career. Students are also asked to define commission in their own words.
This product consists of eight simple interest problems. Students are asked to calculate the simple interest on the first three problems. Two problems ask students to determine an error that was completed when calculating the simple interest. Three different problems require students to find the amount of time money was invested, the initial amount of a deposit and the interest rate.
Discount and Sale Price
This product is a partner activity in which students calculate the sales price of five food items. The directions ask students to round to the hundredths place in order to determine the best deal offered for an item. The second part of this activity has students calculate the sale price when a store offers 25% off plus an additional 10% off the sale price. Students are asked to determine if it would be the same sales price if 35% was taken off the original price.
Quiz - 7.RP.3
This product includes a quiz on the 7.RP.3 Common Core Standards. The questions cover sales tax and tip, simple interest, percent change, discount and sales price, and percent error. There are seven total questions worth ten points. The very last portion of the quiz asks students to evaluate their performance on percents.
Math Lab - Ratios and Proportions (10 pages)
These ratio and proportion practice problems are used during my math lab. The class provides extra time and support for struggling students. The sheets are cut and glued in composition books (math logs) that are kept in the classroom. Answers keys provided for all mini-lessons.
Proportional Relationships - Equations, Tables and Graphs (16 pages)
This product asks students to identify proportional relationships in tables, graphs and equations. A detailed description is provided below.
Are the Variables Proportional?
This product provides students an opportunity to practice identifying proportional relationships in tables. Students examine tables and identify which ones have two variables that represent a proportional relationship. Students are also asked to create a table that represents a proportional relationship and one table that does not. Two problems ask students to identify an error with an explanation that was provided about a table.
Are the Variables Proportional?
This product displays four graphs and asks students to identify and explain which one has a proportional relationship. Students are asked to create a graph that represents a proportional relationship and one that does not represent a proportional relationship. One problem asks students to identify an error in an explanation that was provided about a table. Students also have an opportunity to create a table and a graph for an equation.
Verbal Descriptions and Equations
Are the Variables Proportional?
Students are provided eight questions and are asked to identify if a proportional relationship exists in a verbal description or an equation. Students are provided space to explain their reasoning. This product also includes a second page Roses – Proportional Relationships which asks students to write an equation, create a graph and a table and to provide an explanation about the proportional relationship.
Equations, Tables and Graphs
Is it Proportional?
Students are asked to identify if a proportional relationships exists on twelve problems. A variety of problems (graph, equation and table) are given. Space is provided for students to explain their thinking.
Vocabulary (25 pages)
Use this vocabulary resources during your instruction on ratios and proportions! This product includes the resources and activities listed below.
Vocabulary Words – Word Wall
The following words are provided for a word wall: Ratio, Rate, Unit Rate, Constant of Proportionality, Equal Ratios, Rate of Change, Percents above 100, Percents below 100, Percent Increase, Percent Decrease, Proportion, Percent, Complex Fractions, Simple Interest, Independent Variable, Dependent Variable, Commission, Percent Error, Percent Change, Discount, Markdown, Markup and Ratio Table
This page includes a Frayer model for each one of the following words: ratio, rate, unit rate and proportion.
Students match vocabulary words with the correct definition. Using a colored pencil, students shade corresponding definitions with each word provided. There are four half sheets (seven words per page) of ratio and proportion words broken into the following categories: complex fractions (7 words), proportional relationships (7 words) and percent applications (14 words).
Ratio and Proportion Vocabulary Task Cards
This activity has students looking at twenty vocabulary cards. A vocabulary definition is provided and students pick the correct vocabulary word. The following words and their definitions are on the cards: proportion, ratio, rate, complex fraction, constant of proportionality, unit rate, product, variable, ratio table, equivalent ratios, simple interest, reciprocal, percent, rate of change, independent variable, numerator, principal, percent decrease, dependent variable and percent increase. An answer document is included. Another worksheet is included which may be copied on the back side of the vocabulary answer document. The worksheet asks students to create their own word problem using ratio and proportion vocabulary.
Ratios and Proportions Writing Activity
This activity has students compare two car rental companies. Students are asked to compare the two companies to determine which company has the best deal. Eight vocabulary words are listed as a word bank and students are encouraged to use them in their explanation.
Draw Me! Ratios and Proportions Writing Activity
This task has students choose and draw six vocabulary words (modeled after Pictionary) from a list of sixteen ratio and proportion vocabulary words. The drawing should accurately show the meaning of each word. Students are encouraged to be creative! Once the drawings have been completed, students can exchange papers with a classmate to see if he/she can determine the correct word for the drawing.
Unit Rates - Animal Speeds (Freebie - 6 pages)
This product includes eight animal unit rate problems. All of the problems were written as if the animals could run/fly/swim at top speed for extended periods of time. Although, in real life the animals are not able to maintain top speeds for extended periods. Students are asked to predict the animal speeds from slowest to fastest before they begin their calculations. When the task is complete, students determine how close the actual top speeds/hour were to their original prediction.
Turkey Tax and Tip (Freebie - 4 pages)
This product includes two Thanksgiving themed problems. The first problem asks students to triple a pumpkin pie recipe. Students practice multiplication of a whole number by a fraction. The second problem asks students to find the tax and tip of a meal. Students are also asked to determine the cost per person (turkey) for dinner.