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Bozeman Science
Thinking in Proportion: Level 5 - Proportional Relationships
In this video Paul Andersen shows conceptual thinking in a mini-lesson on proportional relationships. TERMS Quantities - the amount (or number) of a thing Proportional relationship - relation of one dataset to another dataset Directly -...
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Comparing Rates in Miles Per Hour | 8.EE.B.5
In this shorts video we will answer a standardized math test question by comparing rates in miles per hour. We will read the information provided. We will determine the miles per hour from a graph. We will understand the graph shows a...
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Which Table Represents a Proportional Relationship? | 7.RP.A.2
In this Grade 7 math video, we dive into how to determine if a table represents a proportional relationship between two quantities — a key skill aligned with standard 7.RP.A.2.
Students will analyze four real-world...
Students will analyze four real-world...
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Identifying Proportional Graphs with Unit Rates | 8.EE.B.5
In this Grade 8 math video, we’ll solve a real-world problem using a unit rate described in words and four different graphs. Step by step, we’ll model how to write the unit rate as an ordered pair, graph the point, and determine which...
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How to Interpret, Use & Write an Equation | 6.EE.C.9
In this math video we will learn how to interpret, use and write an equation. We will review how an equation represents a real world relationship where y represents miles and x represents hours. We will also review that the coefficient...
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How to Identify Proportional Relationships | 7.RP.A.2
In this math video lesson we will learn how to identify proportional relationships. Students will be able to identify whether a relationship is proportional between two quantities using bar diagrams.
Students will be able to...
Students will be able to...
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Testing Graphing
A video entitled "Testing Graphing" which shows how to use a graph to test if ratios are proportional.
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Multiplicative relationships presented graphically
Pupil outcome: I can use a graph to represent a multiplicative relationship and connect to other known representations. Key learning points: - A multiplicative relationship given algebraically can be represented on a graph. - From the...
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Algebraic ratios
Pupil outcome: I can form equations from algebraic ratios and solve to find an unknown. Key learning points: - Equivalent ratios have a scalar multiplier. - Two equations can be written which are simultaneous. - This can be set equal to...
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Finding the constant of proportionality for inverse proportion
Pupil outcome: I can use the general form for an inversely proportional relationship to find k. Key learning points: - Inverse proportion equations are of the form y = k ÷ x^n - The equation can be written in the form yx^n = k - k is the...
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Choosing the right trigonometric ratio
Pupil outcome: I can choose the appropriate trigonometric ratio to use to solve problems in right-angled triangles. Key learning points: - When selecting the appropriate trigonometric ratio, consider what information you have been given....
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Checking and securing understanding of inverse proportion graphs
Pupil outcome: I can identify inverse proportion graphs from their features and can use the graph to create an equation to algebraically model this relationship. Key learning points: - Inverse proportion can be recognised graphically. -...
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Checking and securing understanding of direct proportion graphs
Pupil outcome: I can identify direct proportion graphs from their features and can use the graph to create an equation to algebraically model this relationship. Key learning points: - Direct proportion can be recognised graphically. - A...
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Problem solving with direct and inverse proportion
Pupil outcome: I can use my knowledge of direct and inverse proportion to solve problems. Key learning points: - Algebraic manipulation is needed to solve proportion problems. - Proportional relationships can be modelled graphically and...
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How to Compare and Interpret a Graph
In this math video we will learn how to compare & interpret a graph. We will connect unit rate to slope or constant of proportionality on the graph. We will write an equation using the unit rate. As we compare two lines on the graph we...
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Comparing Two Rates of Change Using Words & a Graph | 8.EE.B.5
In this math video we will be comparing two rates of change using words & a graph. We will be asked to identify who ran more miles in their first hour of their run. We will find the rate of miles ran in an hour. When reading the graph,...
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Using a Real World Ratio | 6.RP.A.3
In this math video we will be using a real world ratio. We will interpret the given information to write a real world ratio. We will use equivalent ratios to write a proportion. We will use the concept of equivalency to identify the...
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How to Use a RATIO | 6.RP.A.3
In this math video we will learn how to use a ratio. We will be given a ratio of mass to volume. We will review how to write a ratio and how to write a proportion using equivalent ratios. We will use the given information and identify...
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Using Equivalent Ratios to Find Unit Rate | 6.RP.A.2
In this math video we will use equivalent ratios to find unit rate. We will be presented with a real world situation and asked to find the cost for one item when given the cost for three items. We will understand the unit rate is the...
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How to Write a Proportion | 7.RP.A.2
In this math video we will learn how to write a proportion. We will understand that a proportion represents to equivalent ratios. In the given problem we will compare a given quantity to the cost. We will compare two different quantities...
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Use a Relationship to Graph a Line | 8.EE.B.5
In this math video we will use a relationship to graph a line. We will interpret the real world situation given as an ordered pair (x, y). We will use the unit rate ( or slope) to create and write ordered pairs. We will plot the points...
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Identifying the Graph of a Proportional Relationship | 8.EE.B.5
In this math video we will be identifying the graph of a proportional relationship. We will use the information provided to read each graph. We will understand what variable is represented on the x axis. We will review and understand the...
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The Graph of a Proportional Relationship | 8.EE.B.5
In this math video we will determine the graph of a proportional relationship. We will review how to read the graphs presented. We will understand x is the horizontal axis and y is the vertical axis. We will understand that given the...
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Dimensions of Similar Triangles | 8.G.A.4
In this math video we will determine the correct dimensions of similar triangles. We will begin by reviewing the definition of similar figures. Similar figures have corresponding angles that are congruent and corresponding sides that are...