HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
WHOLE NUMBERS K 1 2 3 4 5 6 Comments
Number notation and
place values; cardinal
and ordinal numbers;
comparing and ordering
• up to 100
• up to 1000
• up to 10 million
Odd and even numbers
Addition and subtraction
of numbers
• 1 digit
• 2 digits w/o regrouping
• 2 digits with regrouping
• up to 3 digits
• up to 4 digits
Approximation and
estimation
Multiplication by repeated
addition; concepts of
multiplication
Multiplication and division
within the 2, 5, and 10
times tables
Multiplication tables up to
12x12
Squares and square roots
Mental math
multiplication tables up to
the 20s
Factors and multiples
Mulitplication without
regrouping
Multiplication with
regrouping
Key: I = Introduction, R = Reinforcement, M = Mastery Page 1 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
WHOLE NUMBERS K 1 2 3 4 5 6 Comments
Division by 1-digit number
w/o remainder
Division up to 2-digit
numbers with remainder
Order of Operations:
MDAS
Order of Operations:
PEMDAS
Key: I = Introduction, R = Reinforcement, M = Mastery Page 2 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
FRACTIONS K 1 2 3 4 5 6 Comments
Equal parts of a whole
Concept of simple
fractions (less than 1)
Comparing and ordering
like fractions
Mixed numbers
Improper fractions
Equivalent fractions;
reduction of fractions
Addition and subtraction
• fractions with the same
denominator
• fractions with a different
denominator
• mixed numbers
Multiplication and
division
• fractions with the same
denominator
• fractions with a different
denominator
DECIMALS K 1 2 3 4 5 6 Comments
Number notation and place
values up to 3 decimal
places; comparing and
ordering
Addition and subtraction
up to 2 decimal places
Multiplication using
decimals
Division using decimals
Conversion between
decimals and fractions
Key: I = Introduction, R = Reinforcement, M = Mastery Page 3 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
INTEGERS K 1 2 3 4 5 6 Comments
(positive/negative
numbers)
Concept/comparing and
ordering
Addition
Subtraction
Multiplication; Division
Inequalities M
Key: I = Introduction, R = Reinforcement, M = Mastery Page 4 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
CONCEPT OF
MEASUREMENT K 1 2 3 4 5 6 Comments
• length in nonstandard
units
Measurement of
• meter, centimeter
• millimeter, kilometer
• inch, foot, yard
• mile
Conversion of units of
non-standard
measurement I/R
CONCEPT OF
PERIMETER K 1 2 3 4 5 6 Comments
• square, rectangle
• triangle
• circle (circumference)
•π
CONCEPT OF AREA K 1 2 3 4 5 6 Comments
• square, rectangle
• square mile, acre
• triangle
• circle M
Key: I = Introduction, R = Reinforcement, M = Mastery Page 5 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
CONCEPT OF TIME K 1 2 3 4 5 6 Comments
• 12-hour clock
• 24-hour clock
• o'clock
• half past
• quarter past
• hour, minute, second
• day, week, month, year
CONCEPT OF MONEY K 1 2 3 4 5 6 Comments
• dollars and cents
• addition and subtraction
in cents only
• addition and subtraction
in dollars only
• addition and subtraction
in dollars and cents
• multiplication and
division in cents only
• multiplication and
division in dollars only
• multiplication and
division in dollars and
cents
Key: I = Introduction, R = Reinforcement, M = Mastery Page 6 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
STATISTICS K 1 2 3 4 5 6 Comments
Constructing, reading, Tables to be taught across all grades;
interpreting, and solving problem solving to be taught across
problems all grades.
• Picture graphs
• Line graphs
• Bar graphs
• Double line graphs
• Double bar graphs
• Histograms
• Pie Charts
Mean
Median
Mode
Range
Frequency
• Stem and leaf plot I/R
• Box/Whisker I/R
Key: I = Introduction, R = Reinforcement, M = Mastery Page 7 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
GEOMETRY K 1 2 3 4 5 6 Comments
Plane
• Points, lines, and planes
• Parallel Lines
• Angles formed by
parallel lines and
transversals I
• Naming, measuring, and
drawing angles
• Acute, right, obtuse, or
straight angles
• Supplementary and
complementary angles,
and vertical angles I
• Classifying triangles
• Classifying quadrilaterals
and other polygons as such
within the category
M
• Angles relationship in
polygons (interior/exterior
angles) I
• Congruent and similar
figures [vocabulary to be
added] R
• Properties of similar
figures I
• Tessellations R
• Using algebra to solve
geometry problems I
• Pythagorean Theorem I
Geometry of space
• Classification of
rectangular prisms and
pyramids
• Cones, cylinders,
spheres, and their parts.
• Surface area of
rectangular prisms and
cylinders M
• Volume of rectangular
prisms and cylinders M
• Different views of
rectangular prisms and
solids
Key: I = Introduction, R = Reinforcement, M = Mastery Page 8 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
Geometric
Transformations flips
• Reflections, or R
• Rotations, or turns R
• Translations, or slides R
• Line and rotation
symmetry R
Coordinate Geometry
• Plotting ordered pairs
• Graphing equations with
one variable M
• Graphing equations with
two variables I
• Recognizing linear and
non-linear graphs I
• Intercepts of a line I
• Slope of a line I
• Finding the equation of a
line I
• Graphing sytems of
equations I
• Transformations in a
coordinate plane I
Spatial visualization
• Visual Patterns
Key: I = Introduction, R = Reinforcement, M = Mastery Page 9 of 10
HCES Mathematics Initiative Forum (MIF) K-6 Scope and Sequence
RATIO/PROPORTION K 1 2 3 4 5 6 Comments
Rate M
Speed M
Ratio
Ratios and proportion M
Probability
PERCENTAGE K 1 2 3 4 5 6 Comments
Concept of percentage
Percentage of quantity
One quantity as a
percentage of another
ALGEBRA K 1 2 3 4 5 6 Comments
Algebraic expressions and
equations with one
variable
• simplification
• evaluation
Algebraic expressions and
equations with two or
more variables
• simplification M
• evaluation M
Algebraic equations with
graphing
• simplification I
• evaluation I
Key: I = Introduction, R = Reinforcement, M = Mastery Page 10 of 10