EngageNY
Ratios
Create ratios using the boys and girls in the class. The first lesson in a 29-part series introduces ratios. Pupils learn to create ratios, write them, and model them with tape diagrams. Class members realize that there are different...
EngageNY
Solving Problems by Finding Equivalent Ratios
Combine total quantities and equivalent ratios in problem solving. The fifth instructional activity in a series of 29 presents problems that can be solved using equivalent ratios. Pupils use part-to-part ratios and either sums or...
Illustrative Mathematics
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
Curated OER
Ratio, Rates and Percentages
In this ratio, rates and percentages learning exercise, 8th graders solve 22 various types of problems related to ratios, rates and percentages. They first write ratios in lowest terms and describe each of comparison stated. Students...
Yummy Math
Starbucks Drinks
The casual language and popular topic will make this assignment all the more engaging for your middle school math class. They use Starbucks beverage sales and nutrition values to practice ratios, proportions, statistics, and...
Virginia Department of Education
Arithmetic and Geometric Sequences
Future mathematicians learn about arithmetic and geometric sequences, as well as common ratios and differences as they complete a worksheet matching sequences with the algebraic expressions that represent them.
Curated OER
Comparing Ratios
In this comparing ratios worksheet, students solve and complete 3 different problems using the screens shown. First, they write a ratio that compares the shaded part to unshaded part illustrated. Then, students use the same grid to...
Curated OER
Solving Problems and Proportions
In this proportion worksheet, students read story problems, identify the ratios, set them equal to each other, and solve the proportion. There are 11 story problems in this two-page worksheet.
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Curated OER
Sequences
In this algebra instructional activity, students identify difference and common ratio in sequences. They use arithmetic and geometric ratios to solve patterns. There are 10 questions with an answer key.
Curated OER
Arithmetic and Geometric Sequences and Series
In this arithmetic and geometric sequences and series instructional activity, 7th graders solve and complete 10 different sets of numbers. First, they determine the common difference in each set of numbers. Then, students subtract a pair...
Curated OER
Geometric and Arithmetic Sequences
In this Algebra II/Pre-calculus worksheet, students solve advanced problems based on geometric and arithmetic sequences, including the use of sigma notation. The five page worksheet contains forty-five problems. Answers are...
Noyce Foundation
Mixing Paints
Let's paint the town equal parts yellow and violet, or simply brown. Pupils calculate the amount of blue and red paint needed to make six quarts of brown paint. Individuals then explain how they determined the percentage of the brown...
Curated OER
Applications, Proportions, and Problem Solving
In this math worksheet, students find the solutions to the problems involving proportions. They also compare the similar triangles.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
Willow Tree
Arithmetic and Geometric Sequences
Old mathematicians never die; they just lose some of their functions. Studying sequences gives scholars an opportunity to use a new notation. Learners write functions to model arithmetic and geometric sequences and use them to find new...
Virginia Department of Education
Relationships Round Robin
Mathematics is all about patterns. Young mathematicians analyze geometric patterns to write algebraic expressions. They use the expressions to predict future stages of the patterns.
Curated OER
Recursively Defined Sequesnces
In this algebra instructional activity, students solve a pattern or sequence using geometric and arithmetic formulas. There are 21 questions on 5 different sections.