Mathematics Grade 5 Gifted and Talented Ms. Danelle Houck's class
QUARTER 1:
Standard 7.0 – Processes of Mathematics: Students demonstrate the processes of
mathematics by making connections and applying reasoning to solve problems and
to communicate their findings.
(These processes serve as the foundation for the delivery of all mathematics
content objectives.)
Objectives – The students will be able to:
a. Select and apply a variety of concepts, processes, and skills to solve
problems.
(Problem Solving)
b. Justify ideas or solutions with mathematical concepts or proofs. (Reasoning)
c. Present mathematical ideas using words, symbols, visual displays, or
technology. (Communication)
d. Relate or apply mathematics within the discipline, to other disciplines,
and to
life. (Connections)
Unit 1 – Number Relationships and Computation (Number Theory and Place Value)
Standard 6.0 – Number Relationships and Computation/Arithmetic
Students will describe, represent, or apply numbers or their relationships or
will estimate or compute using mental strategies, paper/pencil, or technology.
Objectives – The student will be able to:
a. Identify place value for base 5 numerals.
b. Convert base 5 to base 10 numerals.
c. Explore the operations of addition, subtraction, multiplication, and
division in base 5.
d. Explore real world applications of the binary number system.
e. Express whole numbers in expanded form using powers of ten and exponential
notation.
f. Calculate powers of whole numbers and square roots of perfect squares.
g. Identify and apply the law of exponents to simplify expressions.
h. Estimate the square root of a given number and justify in writing.
i. Identify and describe the characteristics of numbers divisible by 2, 3, 4,
5, 6, 9, and 10.
j. Identify and describe numbers as prime and composite.
k. Identify factors and prime factors using factor trees and prime
factorization in exponential form.
l. Compare, contrast, and solve problems using factors and multiples.
m. Evaluate numerical expressions using order of operations involving whole
numbers, fractions, and/or decimals.
Unit 2 – Number Relationships and Computation (Whole Numbers and Decimals)
Standard 6.0 – Number Relationships and Computation/Arithmetic
Students will describe, represent, or apply numbers or their relationships or
will estimate or compute using mental strategies, paper/pencil, or technology.
Standard 3.0 – Measurement
Students will identify attributes, units, or systems of measurements or apply
a variety of techniques, formulae, tools, or technology for determining
measurements.
Objectives – The student will be able to:
a. Estimate and calculate sums and differences of decimals and whole numbers,
including money using appropriate methods of computation (mental mathematics,
use of a calculator, use and discovery of alternate algorithms).
b. Estimate and calculate products of decimals and whole numbers including money.
c. Estimate and calculate quotients using decimals and whole numbers with
whole number and decimal divisors.
d. Divide a decimal by a decimal and annex zeros in the dividend.
e. Divide using short division, when appropriate.
f. Interpret quotients and remainders mathematically and in the context of a
problem.
g. Apply identity, zero, commutative, associative, and distributive properties.
h. Calculate equivalent units of length, capacity, and mass within the metric
system.
i. Solve problems involving sums, differences, products, and quotients
including area and perimeter.
j. Express whole numbers in scientific notation.
Unit 3 – Algebra, Patterns, and Functions
Standard 1.0 – Students will algebraically represent, model, analyze, or solve
mathematical or real-world problems involving patterns or functional
relationships.
Objectives – The student will be able to:
a. Identify, extend, analyze, and create numeric patterns and sequences.
b. Identify and extend arithmetic and geometric sequences.
c. Complete and extend one- and two-operation function tables.
d. Analyze and describe the relationship that generates a two-operation rule.
e. Determine the rule for a given function table involving 1 or 2 operations
and write the rule in algebraic form.
f. Create one- and two-operation function tables to solve real world problems.
g. Explore number theory within patterns such as triangular numbers, Pascal’s
triangle, and the Fibonacci sequence.
