Math Mountain Review Slides Math Mountain Expedition
The Ultimate NC Math Review
The Expedition Trail
01
Base Camp
Multi-digit Operations & Algebra (NBT/OA)
02
The Glacier
Fractions & Decimals (NF)
03
The Summit
Geometry & Measurement (MD/G)
Base Camp
Multi-Step Mastery
Challenge #1: The Supply Run
The expedition team bought 4 cases of water with 24 bottles in each case. They also bought 6 packs of energy bars with 12 bars in each pack.
Part A
How many items did they buy in total?
Part B
If 8 climbers share the energy bars equally, how many bars does each climber get?
Base Camp
Place Value Peaks
Standard to Expanded
405,283
Can you expand this number and round it to the nearest thousand?
The Power of 10
Compare the value of the 5 in these numbers:
52,380 vs 5,238
Mountain Math Fact!
Mount Mitchell (NC) is 6,684 feet tall.
About how many times taller is Everest?
The Glacier
Fractional Footholds
Expedition Rations
A team uses 3/8 of their fuel on Day 1 and 2/8 of their fuel on Day 2.
1
What fraction of the fuel is left for Day 3?
2
Is Day 1's fuel closer to 0, 1/2, or 1?
Equivalency Check
Which is greater?
3 4
or
7 10
The Glacier
Decimal Descent
Fraction Form
45 100
Decimal Form
0.45
0.0
1.0
0.5
0.45
The Summit
Angular Ascent
Angle Scout
Right
90°
Acute
< 90°
Obtuse
> 90°
Symmetry Check
Which of these mountain trail markers has at least one line of symmetry?
M
F
X
The Summit
Base Area Analysis
Challenge: The Ranger Station
A rectangular ranger station has an area of 72 square feet. The width of the station is 8 feet.
Task 1
Find the length of the station.
Task 2
Find the perimeter of the station.
Summit Reached!
You've mastered the Math Mountain Expedition review.
Ready for the final descent (Your Final Quiz)?
Math Mountain Practice Worksheet Math Mountain Practice
4th Grade Math Expedition • Review Log
Name:
Date:
Section 1: Base Camp (Algebra & Number Sense)
1. The climbing gear shop sells helmets for $35 each and ropes for $120 each. A team buys 6 helmets and 2 ropes. They have a coupon for $50 off the total price. How much did the team pay in total?
2. There are 2,436 energy bars to be shared equally among 6 expedition teams. How many bars will each team receive?
3. Round 485,329 to the following place values:
Nearest 10,000:
Nearest 1,000:
Nearest 100:
4. A trail is 48 miles long. If a group of hikers travels the entire trail 14 times this year, how many total miles did they hike?
Section 2: The Glacier (Fractions & Decimals)
5. Compare using <, >, or =. Show your reasoning.
4 6
5 10
6. Solve the following expression:
3 2/5 + 4 4/5 =
Math Mountain Expedition • Part 1 of 2
7. A water tank at the ranger station was 75/100 full. After some hikers filled their bottles, it was 40/100 full. How much water was used? Write your answer as a fraction AND a decimal.
Fraction:
Decimal:
Section 3: The Summit (Measurement & Geometry)
8. A new observation deck is being built. The deck will be a rectangle with a perimeter of 60 feet. If the length is 20 feet, what is the Area of the deck?
9. An angle measures 135°. What type of angle is it, and how many 1° angles are contained within it?
Type:
1° angles:
10. Draw a shape that has exactly 1 line of symmetry and at least one set of perpendicular lines.
Drawing Area
11. A hiker carries 4 liters of water. If they drink 1,500 milliliters on the first mile and 800 milliliters on the second mile, how many milliliters of water do they have left? (1 L = 1,000 mL)
Expedition Debrief
Which domain (Base Camp, Glacier, or Summit) was your biggest challenge? Why?
Math Mountain Expedition • Part 2 of 2
Math Mountain Final Quiz Expedition Assessment
4th Grade Comprehensive Math Review • Form A
Name:
Date:
Instructions: Read each question carefully. Use the work areas for multi-step problems. Choose the best answer.
1. A park ranger planted 15 rows of trees with 12 trees in each row. A storm knocked down 24 trees. How many trees are still standing?
Work Area
A 180 trees
B 156 trees
C 204 trees
D 31 trees
2. What is the product of 47 and 23?
A 1,081
B 981
C 1,041
D 329
3. Which comparison is true?
A 2/3 > 5/6
B 1/4 = 3/12
C 3/8 < 1/3
D 4/10 > 1/2
4. How many times greater is the 6 in 64,283 than the 6 in 56,231?
A 10 times
B 100 times
C 1,000 times
D 60 times
5. Which decimal represents the sum of 4/10 + 15/100?
A 0.19
B 0.415
C 0.55
D 1.9
6. A rectangular garden has a length of 12 meters and a width of 4 meters. What is the area of the garden?
A 16 sq meters
B 32 sq meters
C 48 sq meters
D 64 sq meters
7. Which shape must have exactly 4 lines of symmetry?
A Rectangle
B Square
C Rhombus
D Trapezoid
8. A hiker has 3 liters of water. They drink 750 milliliters. How many milliliters of water do they have left?
Work Area
A 250 mL
B 2,250 mL
C 3,750 mL
D 2,750 mL
9. An angle turns through 2/4 of a circle. What is the measure of the angle in degrees?
A 90°
B 180°
C 270°
D 360°
10. Which list contains ONLY prime numbers?
A 2, 3, 5, 9
B 2, 4, 6, 8
C 3, 7, 11, 13
D 1, 5, 10, 15
11. A group of 5 friends each drink 3/4 cup of juice. How many total cups of juice did they drink?
Work Area
A 15/4 cups
B 8/4 cups
C 3/20 cups
D 5 3/4 cups
12. Which statement correctly describes a line plot where the data is in eighths of an inch?
A It uses decimals.
B The scale is in 1/8.
C It measures angles.
Math Mountain Answer Key Answer Key & Teacher Guide
Math Mountain Expedition • NC 4th Grade Review
Teacher Resource
Final Quiz Answer Key
1. B (156 trees) (15x12)-24
2. A (1,081) 47x23
3. B (1/4 = 3/12) Equivalence
4. A (10 times) 60,000 vs 6,000
5. C (0.55) 0.40 + 0.15
6. C (48 sq m) 12x4
7. B (Square) G.3 Properties
8. B (2,250 mL) 3,000 - 750
9. B (180°) 2/4 circle = 1/2
10. C (3, 7, 11, 13) OA Factors
11. A (15/4 cups) 5 x 3/4
12. B (Scale in 1/8) MD.4 Line Plots
Practice Worksheet Answer Key
1: (6x$35)+(2x$120)-50 = $400
2: 2,436 / 6 = 406 bars
3: 490k / 485k / 485,300
4: 48 x 14 = 672 miles
5: 4/6 > 5/10 (0.66 > 0.5)
6: 7 6/5 = 8 1/5
7: 35/100 or 0.35
8: W=10, Area = 200 sq ft
9: Obtuse; 135 angles
10: Square or Isosceles Trapezoid
11: 4,000-1,500-800 = 1,700 mL
Expedition Facilitation Tips
Differentiation
Scaffold: Provide area/perimeter formula charts for MD questions.
Extend: Challenge students to convert mL answers in Q11 back to Liters.
Visual: Use circle fraction models during the slide presentation.
EOG Alignment
NC.4.NBT.5 requires multiplying two 2-digit numbers.
NC.4.NF.6 focuses on tenths/hundredths decimals.
NC.4.OA.3 emphasizes multi-step problems with variables.
