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Yuliya22 [10]
3 years ago
5

How could 1/5 + -4/5 be modeled on a number line

Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0

Answer:

Step-by-step explanation:

1. Use Fraction Bars

Students tend to understand area models well. They can take a rectangle and partition it into thirds, fourths, and so on. They can use fraction bars to compare and explain why one-half is greater than one-fourth.

So, let’s use what students are comfortable with to introduce fractions a number line.In the above activity, students will shade a bar diagram to represent a fraction. They then use the bar diagram to help them partition the number line. Finally, they plot the fraction.

You can choose to use this printable during small groups. There are three versions of this printable, so you can easily differentiate as needed.

The first version has the fractions listed on the page.

The second version has a spot for students to write a fraction.

The third version is the most challenging, because students need to partition the number line and plot the fraction.

2. Use a Math Sort

Students enjoy working on math sorts. It’s always a win when you can teach a challenging topic in a fun way. This activity not only gets students cutting/pasting, but it also encourages students to explain their thinking.

Step 1: Cut the cards

Step 2: Find the 4 fractions

Step 3: Find the bar model that matches the fraction

Step 4: Find the number line model that matches the fraction & bar model

Step 5: Explain how the three cards are related

Step 6: Glue  3. Get Students Moving!

Organize your students into groups and have them create a large number line model. They can use chart paper, tape, string or anything else you may have in your classroom.

The purpose is to get students moving and creating! I have typed up 5 different activity pages you can use with your students. They include a recording spot, so students can record what their number line looks like.

Group students

Each group receives an activity page

Students work together to draw and partition the number line

Students plot the fractions

Students record their number line on the paper provided

Students present their number lines to the class4. Cut & Paste – Mixed Numbers Practice Page

Fractions greater than one can be confusing when modeled on a number line. I follow the following steps:

Count the equal parts until you get to the first whole (one).

Label what fraction is equivalent to one. For example: 2/2 = 1

Continue counting the equal parts. For example: 3/2

Now let’s write the fraction greater than one as a mixed number.

Highlight the last whole number you pass. For example: 1

Count how many equal parts you have to jump from the whole number to get to the fraction greater than one5. Dodecahedron Project

I start by showing my students what the final project looks like. They are immediately super interested and ready to get to work. It’s always a win when you can get students excited about a difficult topic.

Have students complete the pages with pencil first

Check the problems

Allow students time to color

Cut the circles

Staple the circles together to form a dodecahedron 6. Interactive, Digital Math Centers

Engage students with these fun, interactive math centers. There are 2 practice files per standard. You could..

Assign via Google Classroom

Students can complete during math centers (desktops or iPads)

Complete whole-group using an interactive white board

. For example: 1/2

Write the mixed number: 1 1/2

AURORKA [14]3 years ago
3 0

Answer:

The adding them is  -3/5

Step-by-step explanation:

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MAVERICK [17]

Step-by-step explanation:

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5 0
3 years ago
If A(4 -6) B(3 -2) and C (5 2) are the vertices of a triangle ABC fine the length of the median AD from A to BC. Also verify tha
Gnoma [55]

Answer:

a) The median AD from A to BC has a length of 6.

b) Areas of triangles ABD and ACD are the same.

Step-by-step explanation:

a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:

D (x,y) = \left(\frac{x_{B}+x_{C}}{2},\frac{y_{B}+y_{C}}{2}  \right)

D(x,y) = \left(\frac{3 + 5}{2},\frac{-2 + 2}{2}  \right)

D(x,y) = (4,0)

The length of the median AD is calculated by the Pythagorean Theorem:

AD = \sqrt{(x_{D}-x_{A})^{2}+ (y_{D}-y_{A})^{2}}

AD = \sqrt{(4-4)^{2}+[0-(-6)]^{2}}

AD = 6

The median AD from A to BC has a length of 6.

b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:

AB = \sqrt{(x_{B}-x_{A})^{2}+ (y_{B}-y_{A})^{2}}

AB = \sqrt{(3-4)^{2}+[-2-(-6)]^{2}}

AB \approx 4.123

AC = \sqrt{(x_{C}-x_{A})^{2}+ (y_{C}-y_{A})^{2}}

AC = \sqrt{(5-4)^{2}+[2-(-6)]^{2}}

AC \approx 4.123

BC = \sqrt{(x_{C}-x_{B})^{2}+ (y_{C}-y_{B})^{2}}

BC = \sqrt{(5-3)^{2}+[2-(-2)]^{2}}

BC \approx 4.472

BD = CD = \frac{1}{2}\cdot BC (by the definition of median)

BD = CD = \frac{1}{2} \cdot (4.472)

BD = CD = 2.236

AD = 6

The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:

A_{ABD} = \sqrt{s_{ABD}\cdot (s_{ABD}-AB)\cdot (s_{ABD}-BD)\cdot (s_{ABD}-AD)}, where s_{ABD} = \frac{AB+BD+AD}{2}

A_{ACD} = \sqrt{s_{ACD}\cdot (s_{ACD}-AC)\cdot (s_{ACD}-CD)\cdot (s_{ACD}-AD)}, where s_{ACD} = \frac{AC+CD+AD}{2}

Finally,

s_{ABD} = \frac{4.123+2.236+6}{2}

s_{ABD} = 6.180

A_{ABD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}

A_{ABD} \approx 3.004

s_{ACD} = \frac{4.123+2.236+6}{2}

s_{ACD} = 6.180

A_{ACD} = \sqrt{(6.180)\cdot (6.180-4.123)\cdot (6.180-2.236)\cdot (6.180-6)}

A_{ACD} \approx 3.004

Therefore, areas of triangles ABD and ACD are the same.

4 0
4 years ago
Solve for x. 12x+252=324
Murrr4er [49]

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

5 0
4 years ago
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MilA has a bag filled with marbles in which situations would the probability of mila drawing a blue marbles from the bag be 1-3
Kamila [148]
Since there were no situation given, I can only provide you with some guidance so you can select the correct answer.

If the probability is 1/3, that means that one out of every three options will need to be blue. 

If it is a bag of marbles, you could have 1 blue marble out of a total of 3 marbles. Or any other fraction that reduces to one third.

Here are some examples:

2/6   3/9   4/12   5/15   6/18   7/21   8/24 .....
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Corey uses exactly 50 yards of wire fence to create a triangular pen for his dog in his
Oliga [24]
16. 50-18=32
32/2=16
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4 years ago
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