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Interactive
CK-12 Foundation

Finding the nth Term Given the Common Ratio and the First Term: Dominoes

For Students 11th - Higher Ed Standards
Topple misunderstandings of geometric sequences. Using a context of creating ever-increasing sizes of dominoes, pupils develop a geometric sequence. The scenario provides the size of the first domino and the common ratio between...
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Interactive
Scholastic

Study Jams! Ratio

For Students 5th - 7th Standards
What is the ratio of wins to total games for Mia's soccer team? RJ teaches viewers how to figure it out with a step-by-step procedure. He shows them three different ways to represent ratios: word form, ratio form, and fraction form. 
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Unit Plan
EngageNY

Ratios and Unit Rates

For Teachers 6th Standards
This turn-key unit on ratios and unit rates walks through a 30-lesson unit on teaching proportional reasoning, with each lesson broken into detailed teaching notes and time allotments for all parts. An unbelievable resource when taken...
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Lesson Plan
Illustrative Mathematics

Ratio of Boys to Girls

For Teachers 5th - 7th Standards
How many boys are in the class? Here is an introductory exercise describing ratios. The commentary shows different ways learners can approach the problem, using a tape diagram of boys to girls and using a table. The activity includes...
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Worksheet
Curated OER

Geometric Sequences

For Students 8th - 10th
Explore geometric sequences with this 30 problem learning exercise. Upper graders determine if the sequences shown are geometric and find the common ratio. Then, given the explicit formula for a geometric sequence find the first five...
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Lesson Plan
EngageNY

From Ratios to Rates

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Ratios

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

From Ratio Tables to Double Number Line Diagrams

For Teachers 6th Standards
How much sugar is in one bottle? Pupils use double number line diagrams to determine the amount of sugar in a 1L bottle of cola. The teacher leads a discussion on ways that double number lines can be of assistance in solving a problem...
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Lesson Plan
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Wordpress

Introduction to Exponential Functions

For Teachers 8th - 10th Standards
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
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Handout
Granite School District

7th Grade CCSS Math Vocabulary Word List

For Teachers 7th
Address key vocabulary in the seventh grade Common Core Math Standards with this comprehensive list. A series of word cards is also provided that supports each term with images and examples, making this an excellent tool for teaching the...
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Lesson Plan
EngageNY

Associated Ratios and the Value of a Ratio

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Equivalent Ratios Defined Through the Value of a Ratio

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Tables of Equivalent Ratios

For Teachers 6th Standards
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...
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Lesson Plan
Illustrative Mathematics

Riding at a Constant Speed, Assessment Variation

For Teachers 5th - 7th Standards
Practice ratios and unit rates with tracking how long Lin took to ride her bike. Provided with different questions, your mathematicians can assemble their answers using a chart or setting up ratios. The activity is included in a set of...
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Lesson Plan
EngageNY

Solving Problems by Finding Equivalent Ratios II

For Teachers 6th Standards
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. 
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Lesson Plan
EngageNY

The Structure of Ratio Tables—Additive and Multiplicative

For Teachers 6th Standards
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...
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Printables
Curriculum Corner

7th Grade Math Common Core Checklist

For Teachers 7th Standards
With so many math standards to fit into a school year, it can be difficult keeping track of what you have and have not covered. This collection of Common Core checklists allows you to maintain a running record of when each standard was...
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Lesson Plan
EngageNY

Equivalent Ratios

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Equivalent Ratios II

For Teachers 6th Standards
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...
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Lesson Plan
EngageNY

Ratios II

For Teachers 6th Standards
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. 
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Interactive
CK-12 Foundation

Sums of Geometric Series

For Students 11th - Higher Ed Standards
Geometric series either get bigger or approach a single number. So, how do you know which it is? An interactive presents three different geometric series with varying common ratios. With the aid of patterns, pupils determine values of r...
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Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson plan that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
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Worksheet
Helping with Math

Ratio and Proportion: Writing Ratios (2 of 2)

For Students 4th - 7th Standards
Elementary and middle schoolers use pictures to figure out simple ratios and complete ratio word problems. An example is done for learners in which three apples and seven oranges are displayed. The answer simply is a ratio of 3:7. The...
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Worksheet
Helping with Math

Ratio and Proportion: More Writing Ratio

For Students 6th - 8th Standards
Three ratio word problems make up this concise assignment. Mathematicians compare blondes to redheads, red and white shirts, and action-adventure and sports video games. The write ratios to answer the questions. Use this as a class warm...