Download Math TK-12 Scope and Sequence Course: Mathematics Grade

Math TK-12
Scope and Sequence
Course: Mathematics
Grade Level(s): Fifth Grade
Foundational Learning 1: Number Sense
Goal 1: Number Relations
Goal 2: Calculations
Objective-Identify values and place values for
whole numbers up to one billion and decimals
to the thousandths using word form,
expanded form, and standard form.
Objective- Explore the relationship between
fractions, decimals, and percents.
Objective- Round whole numbers and
decimals.
Objective- Compare and order whole
numbers, decimals, and fractions.
Objective- Read and write Roman numerals
and translate to Arabic numerals.
Objective- Identify fractional amounts.
Objective- Simplify fractions and compute
equivalent fractions.
Objective- Identify prime and composite
numbers and use prime factorization.
Objective- Use factor trees to determine
prime factorization.
Objective- Use factors and multiples to
calculate greatest common factor and least
common multiple.
Objective- Learn divisibility rules for 2, 3, 5, 6,
9, and 10.
Objective- Understand and use properties of
addition, subtraction, and multiplication.
Objective- Understand the distributive
property and use it to assist with mental
calculations.
Objective- Add, subtract, multiply (3-digit
times 3-digit), and divide (by double digits)
using whole numbers, decimals, fractions
(with like and unlike denominators), and
mixed numbers.
Objective- Use estimation to check the
Arendell Parrott Academy is a non-public school accredited by AdvancED, enrolling grades
TK-12.
Page 1
Math TK-12
Scope and Sequence
reasonableness of answers.
Objective- Utilize mental math to multiply and
divide whole numbers and decimals by 10,
100, 1,000, etc.
Objective- Explore squares and square roots.
Objective- Explore exponents and scientific
notation.
Objective- Explore order of operations.
Objective- Express a quotient with a
remainder as a fraction or decimal.
Foundational Learning 2: Problem Solving
Goal 1: Explore, plan, solve, and examine
Goal 2: Reasoning
Objective- Identify key words to determine
correct operation to utilize.
Objective- Solve multi-step problems.
Objective- Learn to make change with money
by counting backward.
Objective- Interpret meaning of remainder in a
division problem.
Objective- Use estimation and rounding to
check the reasonableness of an answer.
Objective- Practice mental math methods for
everyday use.
Objective- Review time using analog clock and
calculate elapsed time.
Objective-Practice and solidify customary
measurement to the nearest inch, half-inch,
quarter-inch, and eighth-inch.
Objective- Convert between inches, feet,
yards, and miles.
Objective- Measure to the nearest centimeter
and millimeter.
Objective- Convert between kilometers,
hectometers, dekameters, meters,
decimeters, centimeters, and millimeters.
Objective- Convert between all above forms
for liters and grams.
Objective- Convert between gallons, quarts,
pints, cups, and ounces.
Objective- Convert between pounds, ounces,
and tons.
Arendell Parrott Academy is a non-public school accredited by AdvancED, enrolling grades
TK-12.
Page 2
Math TK-12
Scope and Sequence
Objective- Learn freezing and boiling points of
water in Fahrenheit and Celsius.
Objective- Read thermometer in both
Fahrenheit and Celsius degrees.
Foundational Learning 3: Spatial Reasoning
Goal 1: Geometry
Goal 2: Graphing
Objective- Learn basic geometry terms
including points, lines, rays, line segments,
parallel, perpendicular, intersecting,
Objective- Identify acute, right, obtuse, and
straight angles.
Objective- Measure and draw angles of a
specific size using various protractors.
Objective- Identify various polygons and
determine which are regular.
Objective- Classify triangles by length of sides
and angles.
Objective-Classify, measure, and draw angles.
Objective- Understand line and point
symmetry, transformations, similarity, and
congruency.
Objective- Calculate area and perimeter of
squares, rectangles, triangles and other
polygons.
Objective- Identify center, radii, diameters,
and chords and understand the relationship
between radius and diameter.
Objective- Calculate circumference and
understand relationship to radius and/or
diameter.
Objective- Draw circles of a certain size.
Objective- Identify polyhedrons and quantify
the number of faces, edges, and vertices.
Objective- Calculate surface area of cubes and
rectangular prisms.
Objective- Plot ordered pairs on four
quadrants.
Objective- Interpret data using bar graphs,
double bar graphs (horizontal or vertical), line
graphs, line plots, and stem-and-leaf plots.
Objective- Draw various graphs using given
Arendell Parrott Academy is a non-public school accredited by AdvancED, enrolling grades
TK-12.
Page 3
Math TK-12
Scope and Sequence
data.
Foundational Learning 4: Equations and Functions
Goal 1: Modeling
Objective- Use linear equations to calculate
coordinates and plot on coordinate grid.
Objective- Calculate ratios and proportions.
ObjectiveGoal 2: Solve
Objective- Solve algebraic expressions using
the order of operations including parentheses.
Foundational Learning 5: Probability and Statistics
Goal 1: Statistical Analysis
Objective- Calculate mean, median, mode, and
range for a given data set.
Objective- Interpret overall trend of data.
Objective- Understand scale and interval on
bar and line graphs and use to determine
appropriate numbers when drawing graphs.
Goal 2: Predictions
Objective- Predict future trends based on past
data.
Objective- Solve patterns of numbers and/or
shapes including patterns that vary (ex. +2, -1).
Objective- Determine probability of a
particular outcome.
Arendell Parrott Academy is a non-public school accredited by AdvancED, enrolling grades
TK-12.
Page 4