Algebra 1 Desserts - Module 1
These are Depth of Knowledge (DOK) Level 3 type questions created by your
teacher to help you understand the material a little better. These DOK 3
Questions(s) cover three sections of material at a time. They open on the first
day of the first section in the group and will be due the day of the Quiz for those
three sections. Make sure you are submitting your projects/answers to the
correct assignment on your CANVAS pages. If you have any questions, please
let me know!
Student Requirements:
- Students are to answer all questions fully to the best of their ability.
- Students may work in groups or partners, but each person must submit
THEIR OWN WORK. If your teacher thinks you copied someone else’s
work, you will be written up for plagiarism and receive a 0 for that
assignment.
- Students are to use complete sentences with proper grammar and
punctuation when asked to explain their reasoning.
Students may use any of the following resources when creating their projects:
- PowToon
- Google Slides
- Google Draw Poster
- Educreation
- Screencastify
- WeVideo
- FlipGrid
- Poster
- Google Docs
Each Dessert is worth 15 points and is part of the Daily Class work that
comprises 25% of your grade.
There is no excuse for not submitting your project on time on quiz days
because you will have 3+ days to work on them both in class and outside of
class.
See the next page for Dessert Prompts.
Dessert #1: Sections 1.1 - 1.3
1.1 Real Number System
1.2 Properties of Numbers
1.3 Order of Operations and Absolute Value
1.1 Real Number System
A) Identify the set(s) of numbers the following value belongs to. Explain
your reasoning. −√15 This number is a real number and irrational.
B) Select which point on the number line most closely approximate where
the value would fall. DO NOT use a calculator. EXPLAIN your reasoning.
C. I say this because the square root of -√16 is -4 so the closest point is C.
−√15
1.2 Properties of Numbers
A) Solve the following equation. Identify what property (or properties) is
applied. EXPLAIN how you know this is the correct property.
The distributive Property and the Identity Property
−5(3𝑥 − 7) ⋅ 1 = ?
B) 2 of the three following statements are true. Identify which are true and
which one is false. EXPLAIN your justification. State which property is
used in each.
1. Is true because a number - itself is 0
2. Is true because it follows the Commutative Property.
3. Is Fasle because .5 -2 does not = 1
1) 10𝑥2 + (−10𝑥2 ) = 0
2) 𝑥 + (𝑥 + 𝑥) = (𝑥 + 𝑥) + 𝑥
3)
1
2
⋅ −2 = 1
1.3 Absolute Value and Order of Operations
Check the steps of the problem below. If all of the steps and the answer are
correct, write “correct”. If there are any mistakes, complete the following:
1) Write the number of the step where the mistake(s) occur
2) Write a sentence stating what the mistake was
3) Complete the problem fully showing each step. Include the correct
answer.
(24 ÷ 6 − 2 + 5 ⋅ 3 ⋅ (−1 − 3) ÷ 4)2
Step 1)
(24 ÷ 4 + 5 ⋅ 3 ⋅ (−4) ÷ 4)2
Mistake Didn’t use PEMDAS
Step 2)
(6 + 5 ⋅ 3 ⋅ (−4) ÷ 4)2
Step 3)
(11 ⋅ 3 ⋅ −1)2
Step 4)
(−33)2
Step 5)
1089
(24 ÷ 6 − 2 + 5 ⋅ 3 ⋅ (−1 − 3) ÷ 4)2
Dessert #2: Sections 1.4 - 1.6
Section 1.4- Evaluating Expressions
Adam was working on the problem below and he thinks he made a mistake. Did
he? How many mistakes did he make? If he did, state in which lines the
mistakes occurred and help Adam solve the problem correctly by explaining
what he did wrong and how he should fix it.
Section 1.5 - Combining Like Terms
Write two different expressions with at least 8 terms each that simplifies down
to this expression: 7x - 8y - 3
Section 1.6 - Simplifying Expressions using the Distributive Property
Which of the following expressions does not equal ANY of the other
expressions when simplified? Group all equivalent expressions together.
A. 5(x+1) - 2(x+10)
D. -2(x-4)
G. 2(2x-14)+2(x+20)
J. 7(x+1) - x + 5
B.
E.
H.
K.
-2x + 8
6(x+2)
3(x-10) + 15
6x + 12
C. 3(2x-5) -3(x+1)
F. 3x - 15
I. -5(x+1)+3(x+3)+4
L. 3(x-5)
Dessert #3: Sections 1.7 - 1.9
Section 1.7 Translating Expressions, Equations, and Inequalities
Part A) For each relationship, select a variable to represent one quantity and
state what that variable represents. Then express the second quantity in terms
of the variable selected.
Part B) Write each statement as an algebraic expression.
A. The Kings scored 7 more points than the Rangers.
B. The measure of angle R is 2 less than twice the measure of angle T.
Section 1.8 Solving Two-Step Equations
Ryan is an aspiring music artist. He has a record contract that pays him a base
rate of $200 a month and an additional $12 for each album that he sells. Last
month he earned a total of $644.
Part A) Write an equation to determine the number of albums (a) Ryan sold last
month.
Part B) Find the number of albums Ryan sold last month.
Part C) How many albums does Ryan have to sell next month if he wants to
earn twice as much profit?
Section 1.9 Solving and Graphing Two-Step Inequalities
Samantha’s hair is 4 centimeters long. Her hair grows 1.5 centimeters per
month. Samantha wants her hair to grow so that it is at least 7 centimeters
long.
Part A) Write an inequality to determine the number of months, m, it will take
Samantha’s hair to grow so it is at least 7 centimeters long.
Part B) Graph the solution set to this inequality. Explain what the graph is
representing.