
Geology Rocks! GSE Learning Plan 8th Grade Math
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
Jake Parmer
FREE Resource
28 Slides • 29 Questions
1
2
3
Open Ended
How can interpreting expressions and linear equations help us model real-world situations?
4
Multiple Choice
Which of the following best describes the significance of using algebraic reasoning in solving linear equations?
It helps to find solutions systematically and justify each step.
It is only useful for complex equations.
It is not necessary for real-world problems.
It makes equations more complicated.
5
6
7
Multiple Choice
Based on the diagrams in both diagnostic assessment questions, what is the value of one candy bar in each scenario?
$0.25 and $0.10
$0.50 and $0.40
$0.75 and $0.30
$0.10 and $0.25
8
9
10
Fill in the Blanks
What does x have to equal to make the scale balanced in the equation x + 2 = 4?
Type answer...
11
12
Multiple Choice
How do the diagrams with candy bars and coins relate to the diagrams with scales and variables? What mathematical concept connects them?
They both show how to solve equations by balancing values
They both show how to count objects
They both show how to compare sizes
They both show how to use money
13
Fill in the Blanks
If the 3 x’s and 4 squares equal 10 squares, how many squares does each x represent?
Type answer...
14
15
Open Ended
Explain the concept of 'tare' and why it is important when using a scale.
16
Multiple Choice
Why is the scale not balanced when weighing a crate of 10 basketballs against 10 basketballs?
The crate adds extra weight
The basketballs are different sizes
There are more basketballs on one side
The scale is broken
17
18
19
20
Multiple Choice
What value of x will make the scale balanced in the equation 4 + 2x = 16?
x = 6
x = 8
x = 4
x = 2
21
22
Multiple Choice
How many rocks are inside each crate in the first balance scenario shown?
3
4
5
2
23
Open Ended
How does the concept of balancing scales relate to solving equations in algebra?
24
25
Multiple Choice
Which of the following equations correctly represents the second balance scenario with crates and rocks?
2x + 2 = 12
2x + 2 = 14
2x + 4 = 14
2x + 4 = 12
26
27
Open Ended
In the third balance scenario, what is the relationship between the number of crates and the number of rocks on each side of the scale?
28
29
Fill in the Blanks
Fill in the blank: In the fourth scenario, the left side of the scale has two crates and
Type answer...
30
31
Multiple Choice
If you remove one crate from each side of a balanced scale, what happens to the balance?
The scale remains balanced.
The left side becomes heavier.
The right side becomes heavier.
The scale tips randomly.
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34
Multiple Select
Which of the following are steps you might use to solve a linear equation?
Add or subtract the same value from both sides.
Multiply or divide both sides by the same value.
Change only one side of the equation.
Keep both sides balanced throughout the process.
35
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37
Open Ended
How does using manipulatives, such as crates of rocks, help you understand linear equations?
38
39
Fill in the Blanks
A linear equation can be represented as a balanced
Type answer...
40
Multiple Choice
Which of the following best describes the relationship between balancing a scale and solving a linear equation?
Both require keeping both sides equal by performing the same operation on each side.
Balancing a scale is only about physical objects, while equations are about numbers.
Solving a linear equation does not require balance.
Balancing a scale always involves subtraction.
41
Open Ended
What do you notice about the scale in the image?
42
43
Open Ended
Is the scale in the first image balanced? How do you know?
44
45
Multiple Choice
In the second image, what does each 'X' represent if the scale is balanced?
A number that makes both sides equal
A box of rocks
A single rock
A variable with no value
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47
Open Ended
Why is the scale not balanced in the third image?
48
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50
Multiple Select
Which of the following statements about the crates and rocks in images 4 and 5 are true?
Each crate represents the same value in all images
The number of rocks on each side is always equal
The scales are balanced when the total weight on both sides is equal
Adding crates always makes the scale heavier
51
52
Open Ended
How can you use the idea of balancing scales to solve the equation 2(x + 4) = 16?
53
Fill in the Blanks
Fill in the blank: In the equation 7x = 6 + 5x, the value of x is
Type answer...
54
55
Open Ended
How do you think algebraic reasoning can help you solve problems in real life?
56
Multiple Choice
Which of the following is NOT one of the learning goals for this lesson?
I can use algebraic reasoning in describing the solutions to linear equations.
I can interpret expressions and linear equations to model real-world situations.
I can justify the steps to a linear equation.
I can solve quadratic equations using factoring.
57
Open Ended
How does balancing a scale relate to solving a linear equation?
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