ALEX Resources

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Lesson Plans (1) A detailed description of the instruction for teaching one or more concepts or skills. Learning Activities (1) Building blocks of a lesson plan that include before, during, and after strategies to actively engage students in learning a concept or skill. Classroom Resources (3)


ALEX Lesson Plans  
   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.
Subject: Mathematics (6 - 7)
Title: How Big Should it Be?
Description:

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.




ALEX Learning Activities  
   View Standards     Standard(s): [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.
Subject: Mathematics (7)
Title: Proportional Oh No!
Description:

In this small group activity, the students will be playing a game of "Oh No!" to practice determining proportional relationships. They take turns pulling a card from a bag and determining if the relationship on the card is proportional or not. If it is, they get to keep the card. If it isn't, they have to put all of their cards back. The winner is the person with the most cards at the end of the game.

This activity was created as a result of the ALEX Resource Development Summit.




ALEX Learning Activities: 1

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ALEX Classroom Resources  
   View Standards     Standard(s): [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] ACC-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. [Grade 7, 2]
[MA2019] REG-8 (8) 7 :
7. Determine whether a relationship between two variables is proportional or non-proportional.
[MA2019] REG-8 (8) 10 :
10. Compare proportional and non-proportional linear relationships represented in different ways (algebraically, graphically, numerically in tables, or by verbal descriptions) to solve real-world problems.
Subject: Mathematics (7 - 8)
Title: Grade 7 Mathematics Module 1, Topic A: Proportional Relationships
URL: https://www.engageny.org/resource/grade-7-mathematics-module-1-topic-overview
Description:

In Topic A, students examine situations carefully to determine if they are describing a proportional relationship. Their analysis is applied to relationships given in tables, graphs, and verbal descriptions. At the end of the unit, students will use proportional and non-proportional relationships to solve real-world problems. 



   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.
Subject: Mathematics (5 - 7)
Title: Super Bear: Comparing Mass
URL: https://aptv.pbslearningmedia.org/resource/mgbh-math-md-superbear/super-bear-comparing-mass/
Description:

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] 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.
Subject: Mathematics (7)
Title: Proportions StudyJam
URL: https://studyjams.scholastic.com/studyjams/jams/math/algebra/proportion.htm
Description:

This classroom resource provides a video that introduces proportions as a number sentence that shows two equivalent ratios. It explains that using a proportion as an equation, it is possible to find the fractions of a set, which can help solve a variety of math problems. After utilizing this resource, the students can complete the short quiz to assess their understanding.



ALEX Classroom Resources: 3

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