Number Sense
A submarine is at 30 meters below sea level, and a helicopter is 120 meters above sea level. Write each as an integer and explain the meaning of 0 in this situation.
Sub is -30
Helicopter is 120
0 is sea level
Unit rate: If 5 apples cost $3.75, what is the unit price per apple? Show your calculation
$0.75 per apple
Evaluate an expression: Evaluate 3(4)+5
Angle sum idea: A triangle has angles the measure 40 and 65. Find the third angle.
75 degrees
Statistical question: Which of these is a statistical question: "How tall am I?" or "How tall are the students in the class?"
How tall am I? is the statistical question
What is the opposite of −47? Then identify the opposite of that opposite.
47
Opposite of that opposite is −47
Equivalent ratios table: Complete the table for the ratio 2:5
4 : __
10 : __
10
25
Order of operations: Evaluate 2+3×42
50
Volume with fractional edges: Find the volume of a rectangular prism with edges 1/2 m, 3 m, and 2 m.
3 cubic meters
Given data of pencil lengths in cm: 8, 9, 8, 7, 9, 10, 8. Identify the mode.
Mode is 8
Ordering rationals: Place these numbers in order from least to greatest:3/4; -0.75 -1.2; 0.
-1.2; -0.75; 0; 3/4
Unit conversions using ratio reasoning: A recipe calls for 3 cups of flour; you need to make one-quarter of the recipe. How many cups of flour are needed? Show work as a fraction and decimal.
3/4 cup of flour
0.75 cup of flour
Properties & equivalent expressions: Use the distributive property to rewrite 5(x+6).
5x+30
Coordinates & distance: On the coordinate plane, point A is (2,−1) and point B is (2,4). Find the distance between A and B
5
Measures of center: For the data set {4, 7, 7, 10, 12}, find the median and mean.
Mean is 8
Absolute value context: A bank account shows a balance of −150 dollars. Write the absolute value and explain what it tells you about the account in dollars.
Shows you the debt (dollars owed) without the sign-the account is overdrawn 150
Rate problem: At a constant speed, a cyclist travels 18 miles in 1.5 hours. How many miles per hour is the cyclist traveling? Then find how far the cyclist will ride in 4 hours at that rate.
12 miles per hour
48 miles
Solve simple equations: Solve x+7=19 and show the steps. Then write a real-world sentence that could be modeled by this equation.
x+12
Real-world sentence example: "I had x stickers, I found 7 more, and now I have 19; how many did I start with?"
Customary/metric conversion: Convert 3 feet to centimeters using the conversion factor 1 inch=2.54 cm and 12 in=1 ft. Show steps.
91.44 cm
What is the definition of mean, median, mode, and range?
Mean-average
Median-middle number when written least to greatest
Mode-the number listed most
Range-largest number - smallest number
Mixed conversion & plotting: Convert 7/10 to a decimal and to a percent
0.7 and 70%
Real-world proportional equation: A landscaper charges $12 per hour. Let h be hours worked and C the charge. Write an equation relating C and h.
C=12h
Two-variable proportional situation: A taxi charges a $2 flat fee plus $0.90 per mile. Let C be cost and m miles. Write the equation, then for m=7 evaluate C. Explain which variable is independent and which is dependent.
C=2 + 0.90m
$8.30
independent variable is miles
dependent variable is cost
Conversion within systems: Convert 5 kilometers to meters and then to centimeters. Show steps using unit conversions.
5,000 m
5,000,000 cm
Mixed data problem: A class recorded the number of books read in a month: {0, 1, 2, 3, 4, 4, 5, 10}. Compute the mean and median.
Mean is 3.625
Median is 3.5