EngageNY
Multi-Step Problems—All Operations
Harness the power of algebra to solve problems. Young mathematicians learn to work out multi-step problems by applying algebraic techniques, such as solving equations and proportions. They use tape diagrams to model the problem to finish...
Virginia Department of Education
Field Goals, Balls, and Nets
Score a resource on ratios. Young mathematicians learn about different ways to express ratios. Using sports data, they write statements about the statistics in ratio form.
California Education Partners
Photos
Why do all sizes of pictures not show the same thing? Class members analyze aspect ratios of various sizes of photos. They determine which sizes have equivalent ratios and figure out why some pictures need to be cropped to fit particular...
California Education Partners
Miguel's Milkshakes
Moooove over, there's a better deal over there! The fourth segment in a series of eight requires individuals to determine the best unit cost for milk. Scholars calculate the least amount they can spend on a particular quantity of milk....
California Education Partners
Linflower Seeds
How does your garden grow? Use proportions to help Tim answer that question. By using their understanding of proportional relationships, pupils determine the number of seeds that will sprout. They create their own linear relationships...
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare them to...
EngageNY
Percent of a Quantity
Visualize methods of finding percents. Classmates find a percent of a quantity using two methods including a visual model in the 26th lesson in a series of 29. By the end of the lesson, scholars find percents given a part and the whole...
EngageNY
From Rates to Ratios
Look at rates from a general perspective. The 17th part of a 29-part series provides problems that help pupils develop more general ratios from given rates. Scholars determine unit rates and ratios that are associated with given rates....
EngageNY
From Ratio Tables, Equations and Double Number Line Diagrams to Plots on the Coordinate Plane
Represent ratios using a variety of methods. Classmates combine the representations of ratios previously learned with the coordinate plane. Using ratio tables, equations, double number lines, and ordered pairs to represent...
EngageNY
Solving Problems by Finding Equivalent Ratios II
Changing ratios make for interesting problems. Pupils solve problems that involve ratios between two quantities that change. Groups use tape diagrams to represent and solve classroom exercises and share their solutions.
EngageNY
Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial activity on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of...
EngageNY
Ratios II
Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios.
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions II
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...
EngageNY
Finding a Rate by Dividing Two Quantities
Develop the right station to solve rate word problems. The 18th lesson in a series of 29 starts by interpreting the aspects of rates with two different quantities. Pupils use the interpretation of rates to solve problems, and groups work...
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
EngageNY
The Structure of Ratio Tables—Additive and Multiplicative
Build tables by understanding their structure. Scholars take a closer look at the structure of ratio tables in the 10th segment in a 29-part series. Individuals realize that the tables can be built using an additive or multiplicative...
EngageNY
Equivalent Ratios Defined Through the Value of a Ratio
Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within various...
EngageNY
Equivalent Ratios II
What is the connection between equivalent ratios? Class members first find the multiplication factor used to create equivalent ratios. Next, they take that information to determine whether ratios are equivalent. The second lesson on...
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions
Speed up your scholars' understanding of ratios. Class members compare ratios related with speeds presented in different representations. They then use the unit rates to make the comparisons.
EngageNY
From Ratios to Rates
Rate ratios with unit rates and rate units. Pupils take ratios and determine their associated rates and unit rates. The scholars identify the different aspects of rates, the unit rate, and the rate unit. The lesson is the 16th in a...
EngageNY
From Ratio Tables to Equations Using the Value of a Ratio
Use the value of a ratio to set up equations. The teacher leads a discussion on determining equations from ratio tables in the 13th portion of a 29-part series. Pupils determine which of two equations to use to find the solution. They...
EngageNY
Comparing Ratios Using Ratio Tables
Decide which concentration of mixtures is the strongest. Pupils use tables to compare ratios involved in mixtures. They use two methods to make the comparisons — by finding equivalent values within the tables or by comparing the values...
EngageNY
Tables of Equivalent Ratios
Don't table the discussion on equivalent ratios — do it now! Scholars create tables of equivalent ratios to represent contextual problems. Pupils go on to use the tables to answer questions within the context. The lesson is ninth in a...
EngageNY
Associated Ratios and the Value of a Ratio
Do ratios have values? The seventh instructional activity in a series of 29 introduces the value of a ratio. Pupils create associated ratios to a given ratio. They also describe the fraction associated to the ratio as the value of the...