exploring fractions with team fraction action adding fractions with like denominators
Post on 28-Mar-2015
231 Views
Preview:
TRANSCRIPT
EXPLORING FRACTIONS WITH TEAM FRACTION ACTIONAdding Fractions with Like Denominators
Through the following activities you will learn to add fractions with like denominators, simplifying your answers when necessary.
Lesson Objective
NextNextBackBack
• A working computer and mouse• Internet access• Paper and pencil• A positive attitude and willingness to explore fractions
What you need to get started
NextNextBackBack
Main Menu
Click on a box to the right to access a specific part of the lesson.
Part 1:Finding Fractions
within Pattern Blocks
Part 1:Finding Fractions
within Pattern Blocks
Part 2:Adding Fractions
with Like Denominators
Part 2:Adding Fractions
with Like Denominators
Part 3:Guided Practice with
Adding Fractions
Part 3:Guided Practice with
Adding Fractions
Part 4:General Assessment
Part 4:General Assessment
BackBack NextNext
Finding Fractions within Pattern Blocks
Part 1:
NextNextBackBack
Introduction to Activity
In this first activity you are going to be filling large pattern blocks with smaller shapes, as shown on the hexagon pictured to the left.
How many equilateral triangles are in this hexagon?
NextNextBackBack
Finding Fractions within Pattern Blocks
As you can see, 6 equilateral triangles fit inside this hexagon.
That means that each triangle is one sixth of the whole hexagon.
NextNext
16
16
16
16
16
16
BackBack
Now it’s your turn to explore!
Would you like to play with virtual pattern blocks?
Take some time to explore the pattern block program before we begin the activity. If you have any questions, raise your hand. Have fun and come back in 3 minutes!
NextNext
Click here to access virtual pattern blocks. Click here to access virtual pattern blocks.
BackBack
Use your pattern blocks to help you answer the following question.
How many are in a ?
NextNext
Give this problem a try!
BackBack
Return to the virtual pattern blocks to figure out the answer! Return to the virtual pattern blocks to figure out the answer!
We can see that 2 triangles fit inside 1 rhombus. We know that each triangle is ½ of the whole
rhombus.
NextNextBackBack
Use your pattern blocks to help you answer the following question.
How many are in a ?
NextNext
Return to the virtual pattern blocks to figure out the answer! Return to the virtual pattern blocks to figure out the answer!
Let’s try this one!
BackBack
NextNext
We can see that 3 triangles fit inside 1 trapezoid.
We could represent this mathematically with the following addition sentence. Can you figure out which parts of the sentence are accounting for the triangles?
What about the trapezoid?
1
31
31
33
31
BackBack
Use your pattern blocks to help you answer the following question.
How many are in a ?
NextNext
See if you can figure this one out!
Return to the virtual pattern blocks to figure out the answer! Return to the virtual pattern blocks to figure out the answer!
BackBack
We can see that 2 trapezoids fit inside 1 hexagon. We know that each trapezoid is half of the whole
hexagon.
Try to make the addition sentence that corresponds to this picture.
Click here to see the answer!BackBack
NextNext
This picture represents the following addition sentence:
We can see that there are 2 trapezoids that each cover half of the hexagon each. Each ½ represents one of the trapezoids, the 1
represents the whole hexagon that is covered.
1
21
22
21
BackBack
Use your pattern blocks to help you answer the following question.
If =1, then = ___?
NextNext
This one’s a little different…
Return to the virtual pattern blocks to figure out the answer! Return to the virtual pattern blocks to figure out the answer!
BackBack
We can see that 3 triangles fit into 1 trapezoid.
If 3 triangles fit into 1 whole (the trapezoid), then each triangle is 1/3 of the trapezoid.
Are you stuck? Click here to look back at a hexagon example that is similar to this one.
NextNextBackBack
Finding Fractions within Pattern Blocks
As you can see, 6 equilateral triangles fit inside this hexagon.
That means that each triangle is one sixth of the whole hexagon.
NextNext
16
16
16
16
16
16
BackBack
Use your pattern blocks to help you answer the following question.
If =1, then = ___?
NextNext
Try one more!
Return to the virtual pattern blocks to figure out the answer! Return to the virtual pattern blocks to figure out the answer!
BackBack
We can see that 2 trapezoids fit into 1 hexagon.
If 2 trapezoids fit into 1 whole (the hexagon), then each trapezoid is ½ of the hexagon. The numerator 1 tells us we are talking about one part out of the 2
total parts (the denominator) in the whole. NextNextBackBack
Making and solving fraction addition sentences can be easy when you think about the fractions being small parts of a larger shape.
Now, you’re going to learn another way to solve fraction addition
problems. NextNext
Great work so far!
BackBack
Lesson on Adding Fractions with Like Denominators
Part 2:
NextNextBackBack
Adding Fractions Quickly and Easily
Now you are going to watch a video to show you exactly how to add fractions.
You can always pause the video and raise your hand if you have a question. If you are ready to begin, click in the box below!
NextNext
Click here to begin the lesson on adding fractions. Click here to begin the lesson on adding fractions.
BackBack
Extra Practice with Adding Fractions
Part 3:
NextNextBackBack
Try these!
Click here for the answers to these practice problems.Click here for the answers to these practice problems.
2
61
6
3
52
5
7
102
10
BackBack NextNext
2
61
63
61
2
NextNext
16 1
6
16
16
16
16
16
The 2+1 in the numerator gives us 3, then the denominator stays the same since our whole stays the same.
As you can see from the diagram, three-sixths can simplify to be ½.
BackBack
How did you solve the 1st problem?
3
52
55
51
NextNext
15
15
15
15
15
The 3+2 in the numerator gives us 5, then the denominator stays the same since our whole stays the same.
As you can see from the diagram, five-fifths is equivalent to 1.
How did you solve the 2nd problem?
BackBack
7
102
109
10
NextNext
110
110
110
110
110
The 7+2 in the numerator gives us 9, then the denominator stays the same since our whole stays the same.
Nine-tenths cannot be simplified.
How did you solve the 3rd problem?
BackBack
Adding Fractions Assessment
Part 4:
NextNextBackBack
It’s time to show what you know!
You will be given a test to complete showing what you have learned about adding fractions with common denominators.
Do your very best; if you have a question raise your hand!
BackBack
top related