This course is available in the Fall and Spring Semesters.
Description:
This course further refines students' skills of the four mathematical
operations while students are introduced to more complex activities,
such as adding, subtracting, multiplying, and dividing decimals,
fractions, and fractions with mixed numbers. Students are introduced to
the order of operations and learn how to solve and write equations and
inequalities. The study of geometry becomes more involved as students
learn about polygons and solid figures. Students also extend their
knowledge of graphing and probability to include circle graphs and using
statistics to make prediction. Solving problems with multiple steps,
increased emphasis on Algebra skills, and appropriate pacing keep gifted
math students engaged in this above level content.
Objectives derived from Pearson Education programs © Pearson Education, Inc., or its affiliates. All rights reserved.
Units:
Multiplying Fractions and Mixed Numbers
In
this unit, your student will learn to multiply a fraction by a whole
number and by another fraction. Multiplication of mixed numbers is
another concept that is presented in this unit. Several methods, such as
using repeated addition, drawing a picture, and computing products, are
used to develop the concepts of multiplying with fractions and
multiplying with mixed numbers. The problem-solving strategy in this
unit is “draw a picture and write a number sentence.”
Perimeter and Area
In
this unit, your student will learn to select appropriate tools and
units to measure length in the customary and metric systems. Your
student will measure with greater precision by finding length to the
nearest inch, half inch, quarter inch, and eighth inch in the customary
system and to the nearest centimeter and millimeter in the metric
system. Using formulas, your student will find the perimeter of
polygons, area of squares, rectangles, and triangles, and circumference
of circles. Additionally, your student will use a formula to find the
area of a parallelogram and to determine the side-lengths of a
parallelogram, given the area and the length of one side. This unit’s
problem-solving strategy is “draw a picture and make an organized list.”
Solids
This
unit allows your student to examine solids in greater detail. To begin,
your student will name the attributes of solid figures by their faces,
edges, and vertices. Your student will identify two-dimensional shapes
that constitute solid figures, as he examines nets that form solid
figures upon folding. Also, your student will explore the views of
solids from the various perspectives of looking from the top, front, and
side. Determining surface area in square units and volume in cubic
units are concepts that are studied in this unit. The problem-solving
strategy in this unit is “use objects and solve a simpler problem.”
Measurement Units, Time, and Temperature
In
this unit, your student will learn to select appropriate tools and
units to measure capacity and weight in the customary system and volume
and mass in the metric system. Using multiplication and division, your
student will convert units of measure within the same system. Next your
student will study elapsed time, start time, and end time, and use
models and computations to solve problems involving minutes, hours,
days, and weeks. Your student will also study temperature changes in
both degrees Fahrenheit and degrees Celsius. The use of real measuring
tools, such as thermometers, scales, and clocks, as well as real items,
such as cups and daily schedules, will add meaning to your student’s
study of measurement. This unit’s problem-solving strategy is “make a
table.”
Solving and Writing Equations and Inequalities
This
unit provides your student further practice with variables. The
variables in this unit are used in equations that involve addition,
subtraction, multiplication, or division. Your student will learn to
isolate the variable in an equation in order to solve for the unknown
number. Variables will also be used in inequalities. Your student will
learn to solve for the variable and represent the solutions on a number
line. Finally, your student will identify and write an equation for the
pattern or relationship that exists between pairs of numbers that are
recorded within a table. This unit’s problem-solving strategy is “draw a
picture and write an equation.”
Ratio and Percent
In
this unit, your student will learn how to read and write ratios and
percents. Your student may recall her work with equivalent fractions as
she studies equal ratios. The study of percents will acquaint your
student with various real-world contexts that involve percentages.
Additionally, your student will develop understanding and skill in
writing fractions, decimals, and percents interchangeably and in
determining a given percent of a whole number. The problem-solving
strategy in this unit is “make a table and look for a pattern.”
Equations and Graphs
In
this unit, your student will study integers. A number line will give
your student a visual of the sequence of positive and negative numbers
and develop his understanding of integer values. Your student will use
number lines on a coordinate plane to graph ordered pairs of integers.
The study of integers will also include determining the distance between
two integers and generating a list of ordered pairs, given the values
of one variable in a given equation. The problem-solving strategy in
this unit is “work backward.”
Graphs and Data
In
this unit, your student will encounter real-world problems that require
collecting, organizing, displaying, analyzing, and interpreting data.
Your student will learn how to collect data in an organized way by using
frequency tables. She will learn how to display the different types of
data, using bar graphs, picture graphs, line graphs, stem–and–leaf
plots, histograms, and circle graphs. Next, your student will interpret
the data that is displayed and describe the data by finding the mean,
median, mode, and range. The problem-solving strategy in this unit is
“make a graph.”
Transformations, Congruence, and Symmetry
This
unit will allow your student to explore translations, reflections, and
rotations of figures on a coordinate plane. By drawing and describing
the movements on a coordinate plane, your student will see how the
ordered pairs of the original figure change, depending on the type of
movement that occurs. Your student will also examine congruent figures
that have translated, reflected, and/or rotated. Symmetry is another
concept that is studied in this unit. This unit’s problem-solving
strategy is “use objects.”
Probability
In
this unit, your student will encounter various experiments as she
studies probability. Your student will use a tree diagram or
multiplication to list possible outcomes for an event. Theoretical and
experimental probabilities will be represented in fractional form, from
which your student will make predictions about an event. This unit’s
problem-solving strategy is “solve a simpler problem.”
Course Sets
Kit
Lesson Manual/Course Guide
- Gifted and Talented Math 4 A and B Course Guide
Online Text/eBook
- iText Scott Foresman enVisionMATH 5
Supplies
- Base-ten flats, green (1 set)
- Base-ten rods, green (10)
- Base-ten units, green (20 cubes)
- Coins (44)
- Counters, 2-color (20)
- Dollar bills (40)
- Game spinner, blank (1)
- Number cubes, blank with 50 labels (2)
- Tiles, color (20)
- Tiles, fraction (51)
Objectives derived from Pearson Education programs © Pearson Education, Inc., or its affiliates. All rights reserved.