# JoAnn's School

Addition and subtraction number sentences are called equations. Equations have an equal sign. They show the parts and whole of a problem. An equation can be used to show a problem. In this lesson we use a box as a missing addend to prepare the student to use variables to take the place of an unknown amount. We solve 6 word problems that involve finding a sum or difference.

2nd Grade Math playlist:

https://www.youtube.com/playlist?list=PLKi4WTp6PRGUL-MlUdbT5DeAsigMuQc4o

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

This video and its contents are the property of JoAnn's School and

is protected under U.S. copyright law.

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Addition and subtraction are related because they undo each other. Related addition and subtraction facts have the same whole and parts. In addition, the parts are the addends and the whole is the sum, and in subtraction the whole amount is the minuend and the parts are the subtrahend and difference. A bar model can help us see the parts and the whole. It can also help us find a missing part. We can use addition facts to remember differences because related facts use the same numbers. We write a related subtraction fact for a given addition fact. We solve two word problems that involve related addition and subtraction facts.

2nd Grade Math 3.1, Use Doubles Facts to Add

https://youtu.be/Vp2nJG9_afg

2nd Grade Math 3.2, Practice Addition Facts to 20, Addition Strategies

https://youtu.be/yNeLy9L5iOk

2nd Grade Math 3.3, Make a Ten to Add

https://youtu.be/GAgzjMiLvvM

2nd Grade Math 3.4, Add 3 Addends

https://youtu.be/o0lt5Bd9wtg

2nd Grade Math playlist:

https://www.youtube.com/playlist?list=PLKi4WTp6PRGUL-MlUdbT5DeAsigMuQc4o

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

This video and its contents are the property of JoAnn's School and

is protected under U.S. copyright law.

FOLLOW ME:

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We can add 3 addends by adding two addends first, then adding the third addend to that sum. It's helpful if two addends will make a ten first. Addition problems can be written as a number sentence, or in vertical form, up-and-down. The sum will be the same. We can add in any order to get the same sum. We can solve addition problems in different ways by adding in different orders. If we get the same sum by adding different ways, our sum is probably correct. Remember to add all of the addends. An unknown addend is a missing addend. We can find an unknown addend by adding 2 of the addends first, then find the missing addend by figuring out how many more we need to equal the sum. We solve two word problems that involve adding three addends.

2nd Grade Math 3.1, Use Doubles Facts to Add

https://youtu.be/Vp2nJG9_afg

2nd Grade Math 3.2, Practice Addition Facts to 20, Addition Strategies

https://youtu.be/yNeLy9L5iOk

2nd Grade Math 3.3, Make a Ten to Add

https://youtu.be/GAgzjMiLvvM

2nd Grade Math playlist:

https://www.youtube.com/playlist?list=PLKi4WTp6PRGUL-MlUdbT5DeAsigMuQc4o

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

This video and its contents are the property of JoAnn's School and

is protected under U.S. copyright law.

FOLLOW ME:

TWITTER https://twitter.com/JoannsSchool

FACEBOOK https://www.facebook.com/JoAnnsSchool/

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We can use the strategy (plan) make a ten to help us find sums. We break apart the lesser addend to make a 10. Then we add 10 plus the remaining part of the addend. We show many ways to make a 10. We can add in any order and get the same sum. We can see a pattern in number sentences whose sums are all 10. The first addend increases by one, the second addend decreases by 1 (and 5 + 5 = 10 is a doubles fact). We solve several addition sentences by making tens to add. We solve 3 word problems that involve making a 10 to add.

2nd Grade Math 3.1, Use Doubles Facts to Add

https://youtu.be/Vp2nJG9_afg

2nd Grade Math 3.2, Practice Addition Facts to 20, Addition Strategies

https://youtu.be/yNeLy9L5iOk

2nd Grade Math playlist:

https://www.youtube.com/playlist?list=PLKi4WTp6PRGUL-MlUdbT5DeAsigMuQc4o

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

is protected under U.S. copyright law.

TWITTER https://twitter.com/JoannsSchool

FACEBOOK https://www.facebook.com/JoAnnsSchool/

MINDS https://www.Minds.com/joannsschool

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Note: This is lesson 11.6 in the 2012 copyright. A unit cube is a rectangular prism that is 1 unit long, 1 unit wide, and 1 unit high. It has 6 square faces and 12 edges. We can use unit cubes to build rectangular prisms and other solid figures by joining or stacking the unit cubes. To build a rectangular prism, each row needs to have the same number of unit cubes. A rectangular prism will have 6 faces, no matter how many unit cubes it is made of. A rectangular prism has the same number of edges as a unit cube. All rectangular prisms can be made up of unit cubes. Unit cubes are special rectangular prisms with faces that are squares, and the size of the unit can change with the size of the figure. 1 unit might be 1 centimeter, 1 inch, 1 foot, 1 yard, 1 meter, etc. We compare the number of unit cubes in solid figures using less than, greater than, or equal to symbols. We count and write the number of unit cubes for each level of a solid figure. We find the length, width, and height of rectangular prisms in unit cubes.

5th Grade Math 11.1, Polygons, Sides, Angles, Vertices, Congruence

https://youtu.be/jvlnV6yplEk

5th Grade Math 11.2, Classify Triangles

https://youtu.be/KYDuy-8aqSM

5th Grade Math 11.3, Classify Quadrilaterals

https://youtu.be/LxjQzHYlCuk

5th Grade Math 11.4, Three-dimensional Figures

https://youtu.be/Y9sHIzUgCPo

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

YouTube rating for JoAnn's School videos:

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

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A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices. Polygons are named by the number of sides and angles they have. A polygon will have the same amount of sides, angles, and vertices. When line segments have the same length, or when angles have the same measure, they are congruent. Two polygons are congruent to each other when they have the same size and same shape. There are regular polygons and irregular polygons. All the sides and all the angles of a regular polygon are congruent. Irregular polygons have sides of different lengths and angles of different measures. Little lines called tick marks are used to show congruent segments. Little curved lines called arc marks are used to show which of the angles are congruent. Tick marks and arc marks are called congruence marks because they show which parts of the polygon are congruent. The sum of the interior angle measures of any triangle is 180 degrees, of any quadrilateral is 360 degrees, AND of any pentagon is 540 degrees. As the number of sides increases, the measure of the angles increase.

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

YouTube rating for JoAnn's School videos:

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

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Elapsed time is the amount of time that passes between the start of an activity and the end of the activity. We can solve elapsed time problems by converting units of time. We can use multiplication or division and a relationship like 1 hour is equal to 60 minutes., then we add or subtract units of time. We can use a table of units of time, a number line, or an analog clock to solve problems that involve elapsed time. We may need to find a start time, end time, or elapsed time. We need to be very careful when switching between a.m. and p.m. AM is for the Latin phrase ante meridiem meaning before midday. PM is for the Latin phrase post meridiem meaning after midday. We find how many minutes are in 12 hours, then we find how many seconds are in 12 hours. We solve word problems that involve elapsed time.

Clocks, Time, and Calendars

https://www.youtube.com/playlist?list=PLKi4WTp6PRGWC6I3ltUlMls0rzLQJlcrl

5th Grade Math 10.1, Customary Length

https://youtu.be/ap_tTpGZLzU

5th Grade Math 10.2, Customary Capacity, Liquid Volume

https://youtu.be/I6qudc_gnhg

5th Grade Math 10.3, Compare & Convert Customary Weight, Ounces, Pounds, Tons

https://youtu.be/r0sm0uSCwIM

5th Grade Math 10.4, Multistep Measurement Word Problems

https://youtu.be/kBHJrtEHcGs

5th Grade Math 10.5, Metric Measures, Compare & Convert to each other

https://youtu.be/m79qxyNXkCo

5th Grade Math 10.6, Word Problem Solving, Customary Conversions, Metric Conversions

https://youtu.be/HbP371uLyh8

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

YouTube rating for JoAnn's School videos:

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the prop..

For customary and metric conversions, we can use the strategy make a table to help us solve problems. We use the table to find the correct conversion factor. Then we multiply or divide the given number of units by the conversion factor. The conversion factor is a relating rule between two sequences. So far, we have learned to use division with whole numbers to convert a smaller unit to a larger unit. In this lesson, we will also multiply by a fraction to convert a smaller unit to a larger unit. I show you how to use and make a conversion table. Images of some conversion tables are in the Joann's School Facebook page photo section, there is a link below. We solve four word problems involving customary or metric conversions. We see how there is more than one way to solve a problem. We use powers of 10 to solve a word problem.

5th Grade Math 10.1, Customary Length

https://youtu.be/ap_tTpGZLzU

5th Grade Math 10.2, Customary Capacity, Liquid Volume

https://youtu.be/I6qudc_gnhg

5th Grade Math 10.3, Compare & Convert Customary Weight, Ounces, Pounds, Tons

https://youtu.be/r0sm0uSCwIM

5th Grade Math 10.4, Multistep Measurement Word Problems

https://youtu.be/kBHJrtEHcGs

5th Grade Math 10.5, Metric Measures, Compare & Convert to each other

https://youtu.be/m79qxyNXkCo

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

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We can solve multi-step problems that include measurement conversions by recording the given information, convert one of the given units to one of the units were looking for, and convert the second given unit to the second unit we're looking for. We solve seven word problems that involve multi-step measurement conversions of pounds to ounces, feet to yards, quarts to ounces, tons to pounds, and gallons to quarts.

5th Grade Math 5.7, Write Zeros in the Dividend (to give it more digits)

https://youtu.be/mACIAWt7gFE

5th Grade Math 8.1, Model to Divide Fractions and Whole Numbers

https://youtu.be/BA0kznlaVFY

5th Grade Math 10.1, Customary Length

https://youtu.be/ap_tTpGZLzU

5th Grade Math 10.2, Customary Capacity, Liquid Volume

https://youtu.be/I6qudc_gnhg

5th Grade Math 10.3, Compare & Convert Customary Weight, Ounces, Pounds, Tons

https://youtu.be/r0sm0uSCwIM

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

FOLLOW ME:

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

TWITTER https://twitter.com/JoannsSchool

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Customary measures are also called us standard measures. Capacity is the amount of room or space inside. It's the largest amount that can be held by a container. We can compare and convert customary units of capacity.

First, we use division to convert the smaller unit to the larger unit, or use multiplication to convert the larger unit to the smaller unit. Then, we use less than, greater than, or equal to symbols to compare the units.

We show how to use a bar graph to convert cups to ounces. We show how we can use a customary unit table to convert cups to quarts. There's a copy of a customary liquid volume chart in my Facebook page photo section in a folder called grids, charts, tables which is linked below. We complete a table and graph by plotting points showing the relationship between gallons and quarts.

5th Grade Math 9.2, Ordered Pairs, Identify & Plot Points on a Coordinate Grid

https://youtu.be/viC3uKc1BU8

5th Grade Math 9.3, Graph Data on a Coordinate Grid

https://youtu.be/rbUK_DdJRNs

5th Grade Math 9.6, Word Problem Solving, Find a Pattern Rule

https://youtu.be/MRIrp9kabZc

5th Grade Math 10.1, Customary Length

https://youtu.be/ap_tTpGZLzU

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

FOLLOW ME:

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

TWITTER https://twitter.com/JoannsSchool

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PATREON https://www.patreon.com..

The customary measurement system is used in the United States of America and two other nations, Liberia and Myanmar. All the other countries of the world use the metric system. We can compare and convert customary units of length to each other by using division to convert the smaller units to larger units, or multiplication to convert the larger units to smaller units. Then we can use the symbols for less than, greater than, or equal to, to compare them. We can use a bar model to help us write an equation.

We can use a table of customary units of length to find the relationship between measures. Mixed measures are more than one unit of measurement. 1 foot 6 inches is a mixed measure. We can convert a single unit of measurement to mixed measures. We can also convert a mixed measure to a single unit of measurement.

We solve several comparison problems by writing the symbols for less than, greater than, or equal to. We solve three word problems involving comparing customary units of length.

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

FOLLOW ME:

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

TWITTER https://twitter.com/JoannsSchool

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We can write and graph ordered pairs on a coordinate grid using two numerical patterns. We use the given rules in the problem to generate the first few terms in each pattern. We write the number pairs that represent the relationship between the patterns as ordered pairs. We graph and label the ordered pairs. If a line can be drawn from the origin through all points, then the pattern between the two relationships can be found by multiplying. Remember, the y-axis is the vertical number line and the x-axis is the horizontal number line. X and Y meet at their zero locations, called the origin. We see how a graphed line will maintain the same steepness when the relationship between two sequences is found by a rule of multiplication. Our table, our rule that relates the sequences, and our graph represent the same thing. Our table shows the ordered pairs that relate to each other. Our rule states the relationship between the sequences and words. Our graph shows the relationship between the sequences as a straight line. We graph and analyze ordered pairs and numerical patterns for three word problems.

5th Grade Math 9.1, Line Plots & Fractional Averages

https://youtu.be/_V83UezEyPw

5th Grade Math 9.2, Ordered Pairs, Identify & Plot Points on a Coordinate Grid

https://youtu.be/viC3uKc1BU8

5th Grade Math 9.3, Graph Data on a Coordinate Grid

https://youtu.be/rbUK_DdJRNs

5th Grade Math 9.4, Line Graphs

https://youtu.be/Ua3CmWiFZKI

5th Grade Math 9.5, Numerical Patterns

https://youtu.be/MYFvAj7DFHA

5th Grade Math 9.6, Word Problem Solving, Find a Pattern Rule

https://youtu.be/MRIrp9kabZc

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

YouTube rating for JoAnn's School videos:

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not v..

We can use the strategy "solve a simpler problem" to help us solve a problem with patterns. We can find a pattern using simple numbers, then use the pattern that we found to predict results with greater numbers to solve the problem. We can use the relationship between two sequences to find missing terms. We can make a table of values of the terms to find greater numbers in the sequences. We see how we can use an ellipsis in a sequence to save space in a table of values. Using a rule makes it easier to determine the relationship between the objects in a pattern. Then the rule can help us decide which operation to use. The operation we choose for our rule depends on the given data. We solve four word problems by finding a pattern rule.

5th Grade Math 9.1, Line Plots & Fractional Averages

https://youtu.be/_V83UezEyPw

5th Grade Math 9.2, Ordered Pairs, Identify & Plot Points on a Coordinate Grid

https://youtu.be/viC3uKc1BU8

5th Grade Math 9.3, Graph Data on a Coordinate Grid

https://youtu.be/rbUK_DdJRNs

5th Grade Math 9.4, Line Graphs

https://youtu.be/Ua3CmWiFZKI

5th Grade Math 9.5, Numerical Patterns

https://youtu.be/MYFvAj7DFHA

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

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SUPPORT MY ..

A pattern is an ordered set of numbers or objects; the order helps us predict what will come next. Each number in the pattern is a term. A pattern will have a rule that will help us to find an unknown term. A sequence is an ordered list of numbers. So, a numerical pattern is a sequence. We can identify the relationship between two numerical patterns. We find a rule to write the first few terms in each sequence. Using the two sequences, we can write number Pairs and then find a rule that relates one sequence to the other. The rule for a pattern may contain addition, subtraction, multiplication, or division. Some patterns may even contain a combination of these operations. If the terms of a pattern of increasing, the rule may involve addition or multiplication. If the terms of a pattern or decreasing, the rule may involve subtraction or division. We complete sequences and find the rule for each sequence, then we find the rule that relates the sequences to each other. We see how we can use division of a whole number and multiplication of a fraction to equal the same value.

5th Grade Math 9.1, Line Plots & Fractional Averages

https://youtu.be/_V83UezEyPw

https://youtu.be/viC3uKc1BU8

5th Grade Math 9.3, Graph Data on a Coordinate Grid

https://youtu.be/rbUK_DdJRNs

5th Grade Math 9.4, Line Graphs

https://youtu.be/Ua3CmWiFZKI

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the property of JoAnn's School and

is protected under U.S. cop..

A line graph is a graph that uses line segments to show how data changes over time. We can use a line graph to display and analyze real-world data. The series of numbers placed at fixed distances that label the graph are the graph's scale. The interval, or difference between one number and the next on the scale, should be equal. We can organize the data in related pairs. We choose a title, labels, and interval and scale for the graph. We plot the points from the related pairs. We draw line segments to connect the consecutive points. For the vertical axis, we choose a scale and interval that are appropriate for the data. We can show a break in the scale, if there are no values for those numbers, by drawing a zig-zag line break to save space. For the horizontal axis, we choose a scale and interval that makes sense according to the given data. If the data values do not change for the x values, our line segments will be a horizontal line. Any location on a line segment that is between two points would be an estimate and not an exact answer. An overlay graph uses two vertical scales. They help us see more information at the same time.

5th Grade Math 9.1, Line Plots & Fractional Averages

https://youtu.be/_V83UezEyPw

https://youtu.be/viC3uKc1BU8

5th Grade Math 9.3, Graph Data on a Coordinate Grid

https://youtu.be/rbUK_DdJRNs

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the property of JoAnn's School and

is protected under U.S. copy..

We can use a coordinate grid to display data collected in an experiment. If our data are measured in two ways, such as time and temperature, we can write our recorded data as ordered pairs, make a table, and then graph them as points. We show how to write ordered pairs from a table and how to plot each point on a coordinate grid. We show how to label the x-axis and y-axis with numbers that make sense. Remember, the x-coordinate is the first number in the ordered pair and is the horizontal distance from zero on the x-axis. The y-coordinate is the second number in the ordered pair and is the vertical distance from zero on the y-axis. In the ordered pair, x and y are the same order as they are in the alphabet. See the link below for video 9.2 when we first discussed ordered pairs and coordinate grids.

5th Grade Math 9.1, Line Plots & Fractional Averages

https://youtu.be/_V83UezEyPw

https://youtu.be/viC3uKc1BU8

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

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We can divide a whole number by a fraction and a fraction by a whole number by modeling with quick drawings, fraction strips, or a number line. These models can help us act out a problem. You can see JoAnn's School on Facebook (see link below) for images of printable fraction strips. We show how to use a number line to model a whole number divided by a fraction. We show how to use fraction strips to divide a whole number by a fraction. Remember, we can use multiplication to check our division because they are inverse operations that undo each other. We have learned that fractions with the same numerator and denominator are equal to one whole. Knowing the number of parts in one whole will help us find the number of parts in 2 whole, 3 whole, and so on. We can use fraction strips to divide a fraction by a whole number. When we divide a whole number by a fraction, the quotient will be greater than the dividend. When we divide a fraction by a whole number, the quotient will be less than the dividend. We show how to model a fraction divided by a whole number using fraction strips and a number line. We solve a multi-step word problem that involves dividing a fraction by a whole number.

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

is protected under U.S. copyright law.

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PATREON..

Fractions greater than 1 are also called improper fractions. Their numerators are greater than their denominators. We learning video 6.7 to rename a mixed number as a fraction greater than 1. When we multiply a fraction greater than 1 by a fraction less than 1, the product will be less than the factor that is greater than 1 and greater than the factor that is less than 1. We can make general statements about the relative size of a product when one factor is equal to 1, less than 1, or greater than 1. The Identity Property of Multiplication states that the product of any number and 1 is that number. The product of a fraction greater than 1 and a fraction less than 1 will be less than the fraction greater than 1 and greater than the fraction less than 1. The product of two factors that are greater than 1 will be greater than both factors. We model multiplying a fraction greater than 1 by a fraction less than 1. We model multiplying a fraction greater than 1 by a fraction greater than 1. We can also use a diagram, such as a number line, to show the relationship between the products when a fraction greater than 1 is multiplied or scaled (resized) by a number. We solve a word problem involving comparing mixed number factors and products.

5th Grade Math 7.1, Find a Fractional Part of a Group

https://youtu.be/7ecCApEIoHI

5th Grade Math 7.2, Model Multiplying Fractions & Whole Numbers

https://youtu.be/bcB7EKRqP9A

5th Grade Math 7.3, Fraction & Whole Number Multiplication

https://youtu.be/nrIjqFsKung

5th Grade Math 7.4, Model Multiplying Fractions By Fractions

https://youtu.be/FPhadAYVwbc

5th Grade Math 7.5, Compare Fraction Factors & Products

https://youtu.be/ntQDtwr12tE

5th Grade Math 7.6, Fraction Multiplication

https://youtu.be/qN3i9EyHl5Y

5th Grade Math 7.7, Area & Mixed Numbers

https://youtu.be/p7_166vCiL0

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

I'm using the Houghton Mifflin Go Math!

2015 copyright t..

We can use an area model to show the product of two fractions. We divide our model into the number of equal parts shown by the second factor, the multiplier. The denominator of the first factor tells us how many parts to split up the entire model. Then we choose a different color to shade the originally shaded part the number of parts shown by the numerator of the first factor. We count the number of parts shaded twice as our product. The part shaded twice is the numerator of the product. The denominator is the total number of equal parts. The numerator of the product represents a part of a part. When coloring our area models, we choose a lighter color such as yellow, pink, light blue, etc for our first color. We choose a darker shade as the second color so we can easily see the part that was shaded twice. If we don't have colors, we can shade with a pencil. We solve two word problems involving multiplying fractions by fractions using models.

5th Grade Math 7.1, Find a Fractional Part of a Group

https://youtu.be/7ecCApEIoHI

5th Grade Math 7.2, Model Multiplying Fractions & Whole Numbers

https://youtu.be/bcB7EKRqP9A

5th Grade Math 7.3, Fraction & Whole Number Multiplication

https://youtu.be/nrIjqFsKung

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the property of JoAnn's School and

any is protected under U.S. copyright law.

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We can find the product of a fraction and a whole number multiplying the whole number by the numerator of the fraction. We write the product over the given denominator, then simplify if necessary. We multiply the numerator by the whole number because the numerator tells us how many parts to shade in for each whole, and the whole number tells us how many whole models to use. When we multiply the number of shaded parts by the number of wholes, we get the total number of shaded parts as the product. The denominator tells us the number of equal-sized parts that are in one whole in all. The numerator is the number of these equal-sized parts we are counting. We use higher order thinking skills and reasoning to find an unknown digit of a fraction multiplication problem. We solve two word problems involving fraction and whole number multiplication.

5th Grade Math 6.1, Model Addition with Unlike Denominators

https://youtu.be/Q1OjpdrFkNk

5th Grade Math 6.9, Word Problem Solving, Practice Fraction Addition & Subtraction

https://youtu.be/EY70RyCoe9g

5th Grade Math 7.1, Find a Fractional Part of a Group

https://youtu.be/7ecCApEIoHI

5th Grade Math 7.2, Model Multiplying Fractions & Whole Numbers

https://youtu.be/bcB7EKRqP9A

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the property of JoAnn's School and

any is protected under U.S. copyright law.

FOLLOW ME:

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

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We can use a model to show the product of a fraction and whole number. To find a fractional part of a group, we place the number of same-size fraction strips given by the denominator under the whole, and then circle the number of same-size strips given by the numerator to solve. To find groups of a fractional part, we use fraction circles to model, and shade the fractional part of each group to solve. We show several examples of multiplication problems when the multiplier is a whole number, and we show several when the multiplier is a fraction. We solve a word problem involving multiplying a fraction and a whole number.

5th Grade Math 7.1, Find a Fractional Part of a Group

https://youtu.be/7ecCApEIoHI

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

This video and its contents are the property of JoAnn's School and

any is protected under U.S. copyright law.

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

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PATREON (one time or monthly) https://www.patreon.com/JoannsSchool

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We can make reasonable estimates of fraction sums and differences by rounding the fractions using benchmarks, or we can compare the numerator to its denominator and round the fraction. Then we add or subtract the rounded numbers. To use benchmarks, we round the fraction to 0, 1/2, or 1. We can do this using a number line. When the numerator and denominator are the same, the fraction is equal to 1 whole. We can round a mixed number to the nearest whole or half number. We estimate the answers, using benchmarks for sums or differences, of three word problems. I also share a recipe for Cinnamon honey butter.

5th Grade Math 6.1, Model Addition with Unlike Denominators

https://youtu.be/Q1OjpdrFkNk

5th Grade Math 6.2, Model Subtraction with Unlike Denominators

https://youtu.be/dtGI9E5_0_o

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

TWITTER https://twitter.com/JoannsSchool

FACEBOOK https://www.facebook.com/JoAnnsSchool/

MINDS https://www.Minds.com/joannsschool

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We can use models to subtract fractions that have different denominators. We can use fraction strips to model the minuend and place fraction strips below it to represent the subtrahend. This will help us find the difference. To find the difference by using models, we try fitting fraction strips, under the difference, that have an exact fit. If we need to use more than one fraction strip in the empty space, they must have the same denominator as each other. By finding the fewest amount of fraction strips that will have an exact fit for the difference, we are putting the difference into simplest form. The difference must be written in simplest form. We can test the numerator and denominator of our difference to see if they both can be divided by the same number. We list their factors to find their greatest common factor, then use it to divide both the numerator and denominator. If we don't use the greatest common factor, we will be forced to do more division. We can use a fraction strip of 1 whole to see the difference is less than 1 whole. If the minuend in is less than 1 whole, and we are subtracting from it, the difference will also be less than 1 whole. Beware of fraction strips that seem as though they line up to each other, but don't! We can use a ruler or straightedge to be sure. We solve several equations using fraction strips to help us find differences. A fraction wall and a straightedge can help us write fractions in simplest form. We choose the fraction bar that lines up, that has the lowest denominator.

4th Grade Math 6.3, Fractions in Simplest Form, a.k.a. Reducing

https://youtu.be/pccNZ9CKm4g

5th Grade Math 6.1, Model Addition with Unlike Denominators

https://youtu.be/Q1OjpdrFkNk

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

YouTu..

We can use models to add fractions that have different denominators. We can use a fraction strip that represents 1 whole above the fraction strip models of the addends, to know if our sum is less than or greater than 1 whole. We need to carefully line up all of the fraction strips to ensure we have the correct sum. When the numerator and denominator are the same, the fraction is equal to 1 whole. When the numerator is less than the denominator, the fraction is less than 1 whole. When the numerator is greater than the denominator, the fraction is greater than 1 whole. Sometimes the fraction strips for our sum will have the same denominator as one of the addends. Sometimes the fraction strips for our sum will have a different denominator than the addends. We need to write our sum in simplest form. We divide the numerator and denominator by a common factor. We need to write our fraction bars in a horizontal position. Writing fraction bars on a slant makes it more difficult to add, subtract, multiply, or divide fractions. To add fractions, the denominators must be the same. That is why we use fraction strips with the same denominator, below the model of the equation, to find the sum. The denominators of the models of the sum will be a multiple of the denominators of the addends. We solve two word problems that involve modeling addition with unlike denominators by using fraction strips.

4TH GRADE MATH FOR REVIEW:

4th Grade Math 6.1, Model Equivalent Fractions

https://youtu.be/484ebr8Erfs

4th Grade Math 6.2, Generate Equivalent Fractions Using Multiplication or Division

https://youtu.be/nDDNStJN0l4

4th Grade Math 6.3, Fractions in Simplest Form, a.k.a. Reducing

https://youtu.be/pccNZ9CKm4g

4th Grade Math 6.4, Common Denominators

https://youtu.be/_jdRoXdv3bE

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

I'm using the Houghton Mifflin Go Math!

2015 copyright textbook for this playlist.

You can practice online using..

We can use expanded form and place value to multiply a decimal by a whole number. We use expanded form to break apart factors to draw an area model and add their partial products. We can multiply decimal factors as if they were whole numbers, then use place value to insert the decimal point into the product. In an area model, one factor is arranged vertically and the other factor is arranged horizontally. Using an area model is related to using the Distributive Property because we break apart the factors. When we multiply the decimal numbers as if they were whole numbers, we can think of it as multiplying the decimal times 10 to convert it to a whole number. Then multiply it by one-tenth to change it back to a decimal. This means we need to multiply the product by 0.1 to convert it to a decimal. We solve three word problems involving multiplication of decimals by whole numbers.

4th Grade Math 3.3, Area Models and Partial Products for 2-digit Factors

https://youtu.be/1IwH2zh6_Nc

5th Grade Math 4.1, Multiplication Patterns with Decimals

https://youtu.be/zJfx7I4_zfI

5th Grade Math 4.2, Model Multiplying Decimals by Whole Numbers

https://youtu.be/JSRU83Dqr5o

5th Grade Math 4.3, Multiplication with Decimals & Whole Numbers, Properties & Place Value

https://youtu.be/IcVCNeTJsxc

5th Grade Math Playlist

https://www.youtube.com/playlist?list=PLKi4WTp6PRGX8NtQpzliTlMceQT1ua24f

2015 copyright textbook for this playlist.

You can practice online using the textbook's website

https://www.gomathacademy.com/

L0 - No strong language

N0 - No nudity

S0 - No sexual situations

V0 - Not violent or disturbing

D0 - No drug reference or content

F0 - No flashing lights content

SUBSCRIBE on YouTube https://www.youtube.com/c/JoAnnsSchool

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Education for everyone!

I have over 2,600 Math videos on YouTube, ranging from 1st grade through Algebra 2 and high school Geometry. Many don't auto-upload from YouTube, I'm sorry! It would be impossible for me to upload all of them onto BitChute.

I've included most of my GED Math videos and the Grade 1.

I'm planning to do Trigonometry, then a Pre-Calculus Playlist in the future.

You can study an entire grade level of Math, lesson by lesson with my playlists, in order. You can find the textbooks online.

Catch up to your class, work ahead, pass the GED, or place higher on college entry tests to avoid remedial classes.

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