SIXTH GRADE MATH CURRICULUM
The primary focus of Math in the Archdiocese of Kansas City in Kansas is to
promote in our students their problem solving abilities, which are among God’s many
gifts.
Standard 1: Number and Computation
The student will:
1. Solve problems with fractions, decimals, and percents. (Use weekly bulletin to
comprise average donations to Church.)
2. ▲Compare and order integers, fractions greater than or equal to zero, and
decimals greater than or equal to zero through thousandths place.
3. ▲Know and explain numerical relationships between percents, decimals, and
fractions between 0 and 1 (e.g. recognizing that percent means out of 100 so 60%
means 60 out of a hundred, 60% is .60, and 60% is 60/100 as a fraction.
4. ▲Estimate to check whether or not the result of a real-world problem using
rational numbers and/or the irrational number pi is reasonable and makes
predictions based on the information.
5. ▲Perform and explain these computations:
a. Divides whole numbers through a 2-digit divisor and a four-digit dividend
and expresses the remainder as whole number, fraction, or decimal.
b. Adds, subtracts, and multiplies fractions expressing answer in simplest
form.
6. ▲Solve real-world problems using addition, subtraction, multiplication, and
division of decimals through hundredths place.
7. Know divisibility rules for 2,3,5,6,9, and 10.
8. Use exponents to show prime factorization.
9. Identify natural, whole, integers, rational, and irrational numbers.
10. Identify and apply the inverse properties of addition and multiplication.
11. Apply the zero property of multiplication.
12. Square and cube numbers.
13. Use positive, negative, and zero exponents.
14. ◊Generate and solve real-world problems using equivalent representations of
integers, fractions, and decimals.
15. ◊Perform and explain these computations: add/subtract decimals from millions
place through thousandths place, and multiply and divide a four-digit number by a
two-digit number with decimals.
16. ◊Find a whole number percent (between 0 and 100) of a whole number such as
12% of 40 is what number?
Standard 2: Algebra
The student will
1. ▲State the rule to find the next number of a pattern with one operational change
(addition, subtraction, multiplication, and division) to move between consecutive
terms (e.g. given 4,8,and 16, double the number to get the next term or multiply
the term by two to get the next number). (Read Exo 25:40 for pattern)
2. ▲Write and/or solve one-step equations (e.g. a player scored three more points
today than yesterday. How many points were scored yesterday? Write an
equation to represent this problem. The equation would be y + 3 = 17. y=14.
3. Explain and use equality and inequality symbols.
4. Recognize the difference among expressions, equations, and inequalities.
5. Use algebraic expressions and order of operations.
6. Translate word expressions into algebraic expressions.
7. Solve problems using formulas.
8. Compute with ratio/proportion within algebraic expressions and order of
operations.
9. ◊Find the value of algebraic expressions using whole numbers such as: If x=3,
then 5x=5(3)
10. ◊Know, use, and explain math relationships with models such as place value
charts, hundred charts, faction and mixed number models, and base ten blocks.
11. ◊Know and use equations and inequalities to model numerical relationships.
Standard 3: Geometry
Teacher note: The term “geometry” comes from the Greek words meaning,
“earth measure.” The process of learning to measure at the early grades focuses on what
property (length, width, height) is to be measured and to make comparisons.
The student will:
1. Demonstrate counting back change. (Value: honesty)
2. ▲Classify angles as right, obtuse, acute, or straight and triangles as right, obtuse,
scalene, isosceles, and equilateral.
3. ▲Convert within the metric system using the prefixes: kilo, hecto, deka, deci,
centi, and milli; e.g. converting millimeters to meters or liters to kiloliters.
4. ▲Solve real-world problems by applying these measurement formulas:
a. Perimeter of polygons using the same unit of measurement.
b. Area of squares, rectangles, and triangles using the same unit of
measurement.
5. ▲Identify, describe, and perform one or two transformations (reflection, rotation,
translation) on a two-dimensional figure.
6. Use all four quadrants of the coordinate plane to
a. Identify the ordered pairs of integer values on a given graph,
b. Plot the ordered pairs of integer values.
7. Construct and identify 2D and 3D figures.
8. Classify polygons by sides and angles.
9. Calculate circumference and area of circles.
10. Find missing angle of a triangle.
11. Use protractor to measure, classify, and construct angles.
12. Read and interpret temperature from a thermometer.
13. Estimate the measurement of a quantity. (Job 11:9 measure)
14. ◊Recognize and state perimeter and area formulas for squares, rectangles, and
figures derived from both.
15. ◊Find the volume of rectangular prisms using concrete objects.
16. ◊Solve real-world problems by applying measurement formulas for perimeter and
area.
Standard 4: Data
The student will:
1. Understand that God gave us a gift to interpret data.
2. ◊Construct and interpret data using
a. Venn diagrams,
b. Charts and tables,
c. Frequency tables,
d. Bar and circle graphs, - use church attendance and collections in weekly
bulletin to make predictions
e. Pictograph,
f. Line graph.
g. Single stem-and-leaf plots
h. Scatter plots
3. ▲List all possible outcomes of an experiment or simulation with a compound
event composed of two independent events in a clear and organized way.
4. ▲Represent the probability of a simple event in an experiment or simulation
using fractions and decimals.
5. ◊Recognize and explain the effects of scale and/or interval changes on graphs of
whole number data sets.
◊ Essential prerequisite skills
▲Assessed math indicator for KSDE