Illustrative Mathematics
Ratio of Boys to Girls
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...
Curated OER
Geometric Sequences
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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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...
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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...
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From Ratio Tables to Double Number Line Diagrams
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...
Wordpress
Introduction to Exponential Functions
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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Associated Ratios and the Value of a Ratio
Do ratios have values? The seventh 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 ratio.
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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...
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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 instructional activity...
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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.
Illustrative Mathematics
Riding at a Constant Speed, Assessment Variation
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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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...
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Equivalent Ratios
Equivalent ratios show up on tape. Young mathematicians use tape diagrams to create equivalent ratios in the initial lesson on the topic. They learn the definition of equivalent ratios and use it to build others in the third segment of a...
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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...
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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.
Helping with Math
Ratio and Proportion: Writing Ratios (2 of 2)
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...
Helping with Math
Ratio and Proportion: More Writing Ratio
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...
Helping with Math
Ratio and Proportion: Simplifying Ratios (2 of 2)
For this assignment, math stars simplify ratios. The first half just displays numbers, whereas the second half describes real-world scenarios with ratios to be written and reduced. The publisher mentions CCSS.Math.Content.6.RP.3, but it...
Curated OER
Ratio and Proportion: Basic Operations and Applications
Learners explore example problems dealing with ratios and proportions. Afterward, they read story problems and solve them using ratios and proportions. This four-page worksheet contains six multi-step problems.
Curated OER
Geometric Series 2.3
Students will determine if a series of numbers are geometric, arithmetic, or neither and determine the common ratio if appropriate. In this geometric units lesson, students given a geometric series, determine the general term, and the...
Teach Engineering
Discovering Phi: The Golden Ratio
Fe, phi, fo, fum. This activity leads pairs to find the ratio of consecutive terms of the Fibonacci sequence. The pairs find that the Fibonacci sequence can be found in many places. A discussion with the class shows that the ratios...
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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....
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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...
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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....