Truth and Equations: IM 6.6.2
[url=https://im.kendallhunt.com/MS/teachers/1/6/2/preparation.html]“Truth and Equations”[/url] from IM Grade 6 by [url=https://www.geogebra.org/m/gus8ffvr]Open Up Resources[/url] and Illustrative Mathematics. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0 license[/url].
Table of Contents
- Lesson 6.6.2
- IM 6.6.2 Lesson: Truth and Equations
- Practice 6.6.2
- IM 6.6.2 Practice: Truth and Equations
IM 6.6.2 Lesson: Truth and Equations
[size=150]The equation [math]a+b=c[/math] could be true or false.[/size][br][br]If [math]a[/math] is 3, [math]b[/math] is 4, and [math]c[/math] is 5, is the equation true of false?
Find values of [math]a[/math], [math]b[/math], and [math]c[/math] that make the above equation true.
Find values of [math]a[/math], [math]b[/math], and [math]c[/math] that make the equation false.
[size=150]The equation [math]x\cdot y=z[/math] could be true or false.[br][/size][br]If [math]x[/math] is 3, [math]y[/math] is 4, and [math]z[/math] is 12, is the equation true of false?
Find values of [math]x[/math], [math]y[/math], and [math]z[/math] that make the above equation true.
Find values of [math]x[/math], [math]y[/math], and [math]z[/math] that make the equation false.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
After Elena ran 5 miles on Friday, she had run a total of 20 miles for the week. She ran [math]x[/math] miles before Friday.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
Andre’s school has 20 clubs, which is five times as many as his cousin’s school. His cousin’s school has [math]x[/math] clubs.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received [math]x[/math] cups of food.
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, consider drawing a diagram in the second applet below..
Explain why your solution is correct.
One solution to the equation [math]a+b+c=10[/math] is [math]a=2[/math], [math]b=5[/math], [math]c=3[/math]. [br][br]How many different whole-number solutions are there to the equation [math]a+b+c=10[/math]? Explain or show your reasoning.
IM 6.6.2 Practice: Truth and Equations
Select [b]all [/b]true equations.
Mai's water bottle had 24 ounces in it. After she drank [math]x[/math] ounces of water, there were 10 ounces left. Select [b]all [/b]the equations that represent this situation.
Priya has 5 pencils, each [math]x[/math] inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select [b]all [/b]the equations that represent this situation.
Match each equation with a solution from the list of values.
The daily recommended allowance of vitamin C for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowance of vitamin C. How many milligrams are in 1 orange? If you get stuck, consider using the double number line below.
There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them.
How many kids own their own instruments?
How many kids rent instruments?
What percentage of kids rent their instruments?
Find each product.
[math]\left(0.25\right)\cdot\left(1.4\right)[/math]
[math]\left(0.061\right)\cdot\left(0.43\right)[/math]
[math]\left(1.017\right)\cdot\left(0.072\right)[/math]
[math]\left(5.226\right)\cdot\left(0.037\right)[/math]