ALEX Resources

   View Standards     Standard(s): [MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

[MA2019] (6) 1 :

1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.

[MA2019] REG-7 (7) 2 :

2. Represent a relationship between two quantities and determine whether the two quantities are related proportionally.

a. Use equivalent ratios displayed in a table or in a graph of the relationship in the coordinate plane to determine whether a relationship between two quantities is proportional.

b. Identify the constant of proportionality (unit rate) and express the proportional relationship using multiple representations including tables, graphs, equations, diagrams, and verbal descriptions.

c. Explain in context the meaning of a point (x,y) on the graph of a proportional relationship, with special attention to the points (0,0) and (1, r) where r is the unit rate.

[MA2019] REG-7 (7) 17 :

17. Solve problems involving scale drawings of geometric figures, including computation of actual lengths and areas from a scale drawing and reproduction of a scale drawing at a different scale.

This lesson will allow students to become familiar with the concept of equivalent ratios and similar objects. Through an open investigation, students will develop methods to find equivalent ratios. This is a lesson to be used as part of a unit with Painter Problems and How Far Can You Leap found in ALEX.

This is a College- and Career-Ready Standards showcase lesson plan.

   View Standards     Standard(s): [MA2019] (6) 1 :

1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.

[MA2019] (6) 2 :

2. Use unit rates to represent and describe ratio relationships.

[MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

[MA2019] REG-7 (7) 1 :

1. Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions.

This lesson will allow students to become familiar with the concept of unit rate. Through an open investigation students will develop methods to find unit rate with a table, equivalent ratios, or an equation. This is a lesson to be used as part of a unit with "Painter Problems" and "How Big Should It Be?"

This is a College- and Career-Ready Standards showcase lesson plan.

   View Standards     Standard(s): [MA2019] (6) 1 :

1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.

[MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

This lesson will allow students to become familiar with ratios. In this investigative lesson students will compare ratios and determine equivalent ratios. This is an introductory lesson to be used as part of a unit. 

This is a College- and Career-Ready Standards showcase lesson plan.

   View Standards     Standard(s): [MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

In this activity, the students will visit the website, Math Interactives, to reinforce a lesson on proportions. The students will demonstrate their knowledge of proportions by calculating missing values that will develop photographs. For completion, the students will arrange the photographs to view the final product.

This activity results from the ALEX Resource GAP Project.

   View Standards     Standard(s): [MA2019] (5) 17 :

17. Convert among different-sized standard measurement units within a given measurement system and use these conversions in solving multi-step, real-world problems.

[MA2019] (6) 2 :

2. Use unit rates to represent and describe ratio relationships.

[MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

[MA2019] REG-7 (7) 1 :

1. Calculate unit rates of length, area, and other quantities measured in like or different units that include ratios or fractions.

[MA2019] REG-7 (7) 2 :

2. Represent a relationship between two quantities and determine whether the two quantities are related proportionally.

a. Use equivalent ratios displayed in a table or in a graph of the relationship in the coordinate plane to determine whether a relationship between two quantities is proportional.

b. Identify the constant of proportionality (unit rate) and express the proportional relationship using multiple representations including tables, graphs, equations, diagrams, and verbal descriptions.

c. Explain in context the meaning of a point (x,y) on the graph of a proportional relationship, with special attention to the points (0,0) and (1, r) where r is the unit rate.

Think about the relationships between the weight and size of similar objects. This interactive exercise focuses on using critical thinking skills and estimation skills to predict how many mini and regular gummy bears it takes to have the same mass as a super bear and then requires using data to complete calculations to see if your prediction was accurate.

This resource is part of the Math at the Core: Middle School collection.

   View Standards     Standard(s): [MA2019] (6) 1 :

1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.

[MA2019] (6) 2 :

2. Use unit rates to represent and describe ratio relationships.

[MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

[MA2019] REG-7 (7) 3 :

3. Solve multi-step percent problems in context using proportional reasoning, including simple interest, tax, gratuities, commissions, fees, markups and markdowns, percent increase, and percent decrease.

In this infographic, learn about the impact of drought on agriculture in California. In the accompanying classroom activity, students use the information on one of the infographic graphs to compare the share of production value to the share of water usage for different crops and consider the implications for the choice of crops to grow in times of drought. To get the most from this lesson, students should be comfortable interpreting percentages and double bar graphs and familiar with ratios and rates.

   View Standards     Standard(s): [MA2019] (6) 1 :

1. Use appropriate notations [a/b, a to b, a:b] to represent a proportional relationship between quantities and use ratio language to describe the relationship between quantities.

[MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

The CyberSquad works with an area to figure out how to power a skate park using solar panels in this interactive from WNET. In the accompanying classroom activity, students view and analyze a series of video clips from Cyberchase and complete an activity using area and ratio. Students take what they’ve learned and put it to the test by designing their own solar power dream house. This resource is part of the Math at the Core: Middle School Collection.

   View Standards     Standard(s): [MA2019] (6) 3 :

3. Use ratio and rate reasoning to solve mathematical and real-world problems (including but not limited to percent, measurement conversion, and equivalent ratios) using a variety of models, including tables of equivalent ratios, tape diagrams, double number lines, and equations.

This classroom resource provides a video that introduces percents as "parts of one hundred." It explains that percents can be written as a fraction, as a decimal, as a ratio, or with a percent sign. After utilizing this resource, the students can complete the short quiz to assess their understanding.