Math

GRADE 6 Mathematics Reference Materials

• Area Formulas:
    - Triangle: $A = \frac{1}{2} b h$
    - Rectangle/Parallelogram: $A = b h$
    - Trapezoid: $A = \frac{1}{2}(b_1 + b_2) h$

• Volume Formula:
    - Rectangular Prism: $V = B h$ (where B = base area)

Conversion Factors

• Weight:
    - 1 ton (T) = 2,000 pounds (lb)
    - 1 pound (lb) = 16 ounces (oz)

• Length:
    - Customary: 1 mile (mi) = 1,760 yards (yd)
    - Metric: 1 kilometer (km) = 1,000 meters (m)
    - 1 yard (yd) = 3 feet (ft), 1 foot (ft) = 12 inches (in)
    - 1 meter (m) = 100 centimeters (cm), 1 centimeter (cm) = 10 millimeters (mm)

• Volume and Capacity:
    - Customary: 1 gallon (gal) = 4 quarts (qt)
    - Metric: 1 liter (L) = 1,000 milliliters (mL)
    - 1 quart (qt) = 2 pints (pt), 1 pint (pt) = 2 cups (c)
    - 1 cup (c) = 8 fluid ounces (fl oz)

• Weight and Mass:
    - Customary: 1 kilogram (kg) = 1,000 grams (g)
    - 1 gram (g) = 1,000 milligrams (mg)

Key Math Concepts

• Inequalities:
    - Understanding the solutions to inequalities like -2x > -48

• Expression Evaluation:
    - Example expression: $42 - 6(7 - 10)$

• Ratios and Percentages:
    - Example of animal ratio: Dogs to cats = 3:5, calculate total cats from total of 96 animals.
    - 75% as a fraction/decimal representation.

• Linear Relationships:
    - Relations between variables (e.g., hours worked vs payment).

• Data Interpretation:
    - Understanding box plots and histograms for data analysis.

• Geometry:
    - Volume calculation of prisms and area calculations of shapes.
    - Working with angles in triangles.

• Real-world Applications:
    - Calculating costs, interpreting financial data, or averages from a dataset.
    - Problems involving personal finance and consumer insights.