Welcome to Fourth Grade's Math Website
Reminders
1. To help your child you can: study notes from the journal, review math facts, have your child solve problems based on their current unit of study, and practice using problems from the book.
2. Also, please remind your child to take home the math book and math journal to review and study at home.
Math Facts
Students should be able to recall basic math facts in addition, subtraction, multiplication, and division quickly. Please help your child study those facts for 10 minutes nightly. Using flash cards, computer games, memory games, and internet resources to reinforce these skills will help make math facts fun for your child. Please refer to some helpful sites under "Math Links."
Homework
Math homework is given nightly, Monday through Thursday. Don't forget to help your child study his/her math facts for 10 minutes each night.
SMART Pages
The Student Mathematics Activity Resource Tools website is a collection of web-based activities and virtual manipulatives (eTools) designed to support and enhance mathematics instruction. The resources are organized by content standard (unit) within each marking period.
Elementary Mathematics Overview
The Mathematics program is built upon the National Council of Teachers of Mathematics Principles and Standards for School Mathematics and the Maryland Voluntary State Curriculum. It incorporates the
processes of problem solving, communication, connections, reasoning, and representation to deliver traditional and nontraditional mathematics skills in kindergarten through fifth grade. It also forms a framework enabling students to successfully apply mathematics in real life and testing situations (such as the Maryland School Assessment).
QUARTER 1
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation or number
sentence) perspectives.
Algebra, Patterns, and Functions
Objectives - The students will be able to:
a. Identify, describe, and extend a variety of non-numeric patterns
(symbols, shapes, designs, and pictures).
b. Identify, describe, extend, and create a variety of numeric patterns
(multiples including 2’s, 3’s, 4’,s 5’s, 10’s, 25’s).
c. Generate a rule for a given repeating pattern.
d. Generate a rule for the next level of a growing pattern.
e. Write and identify expressions to represent numeric quantities using
operational symbols (+, -, x, ÷) with no remainders.
f. Complete a function table when given a rule.
g. Find the unknown in an equation with one operation (+, -, x, ÷).
Number Relationships and Computation (Place Value, Estimation,
Addition/Subtraction of Whole Numbers)
Objectives - The students will be able to:
a. Identify place value and state the value of each digit in a given
numeral to 1,000,000.
b. Explain the meaning of the equal sign in an equation.
c. Read, write, and compare (using <, >, =, ?) numerals to 1,000,000.
d. Write numbers in expanded notation (form).
e. Apply the identity, commutative, and associative properties to addition
and multiplication.
f. Add and subtract four-digit numbers presented horizontally and
vertically with regrouping.
g. Round whole numbers to the nearest ten, hundred, and thousand.
h. Determine the reasonableness of sums and differences by estimating
using rounding.
i. Solve a problem (including multi-step problems) by choosing one of
the following methods of computation: mental mathematics,
estimation, use of a calculator, or use of an algorithm (ongoing
throughout the year).
Statistics (Analyze and Interpret Data)
Objectives - The students will be able to:
a. Analyze, interpret, and make predictions (in oral and written forms)
based on tables, bar graphs (vertical and horizontal), line plots, and
line graphs.
b. Describe a set of data by determining the median, mode, and range.
Number Relationships and Computation (Multiplication of Whole Numbers)
Objectives - The students will be able to:
a. Apply the identity, commutative, and associative properties to
multiplication facts.
b. Recall and use the multiplication facts for computation and problem-
solving situations (ongoing throughout the year). Explore strategies for
multiplication basic facts (number times ten, number times five,
doubles, splitting fours, number times six, number times nine)
c. Identify multiples of given numbers.
d. Multiply one-digit numbers by multiples of 10, 100, and, 1000, using
mental computation.
e. Multiply a two-digit number by a two-digit number with regrouping.
f. Determine the approximate product of two numbers.
QUARTER 2
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation or number
sentence) perspectives.
Number Relationships and Computation (Division of Whole Numbers)
Objectives - The students will be able to:
a. Recall and use division facts in computation, word problems, and
games.
b. Divide a two- or three-digit number by a one-digit divisor with
remainders.
c. Interpret the remainder for a given situation.
d. Represent the remainder in a quotient as a fraction.
e. Use divisibility rules to determine if numbers are divisible by 2, 3, 5,
and 10.
f. Determine the average for a given set of numbers using manipulatives.
g. Determine the appropriate quotient of two numbers.
Number Relationships and Computation (Fractions)
Objectives - The students will be able to:
a. Read and write a fraction for a given region or part of a set and
identify the numerator and denominator.
b. Identify a fraction as greater than, less than, or equal to one.
c. Estimate the value of a fraction as being close to zero, one-half, or one.
d. Compare and order fractions or mixed numbers using the symbols <,
>, or = and locate their positions on a number line.
e. Represent equivalent fractions using models and drawings.
f. Simplify fractions to lowest terms.
g. Rename improper fractions as mixed numerals and mixed numerals as
improper fractions.
h. Represent addition and subtraction of like fractions using
manipulatives and visual representations.
i. Add and subtract fractions with like denominators with sums greater
than one and differences less than one.
Probability
Objectives - The students will be able to:
a. Find the probability of one event and express the probability as a
fraction.
b. Describe the likelihood of an event by using the terms certain,
impossible, more likely, less likely, or equally likely.
Number Relationships and Computation (Decimals)
Objectives - The students will be able to:
a. Identify the relationship between common fractions and decimals.
b. State the value of each digit in a given decimal numeral through
hundredths.
c. Read and write a decimal number through hundredths.
d. Identify equivalent decimals through hundredths.
e. Estimate the value of a decimal as being close to zero, one-half, or
one.
f. Compare (using >, <, =, =) and order decimals through hundredths and
locate their positions on a number line.
g. Add and subtract decimals through hundredths.
h. Estimate sums and differences through hundredths.
i. Solve word problems (addition and subtraction) involving money in
real life situations including making change.
QUARTER 3
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation or number
sentence) perspectives.
Geometry
Objectives - The students will be able to:
a. Identify, describe, draw, and label points, lines, line segments, and
rays.
b. Identify and construct intersecting, parallel, and perpendicular lines
and line segments.
c. Identify, classify, draw, and label angles as acute, obtuse, right, and
straight.
d. Identify and name quadrilaterals (square, rectangle, parallelogram,
rhombus, and trapezoid) and polygons to decagon.
e. Analyze the properties of solid figures and identify cones, cylinders,
prisms and pyramids.
f. Describe solid geometric figures by the number of edges, vertices, and
faces including triangular prisms, triangular pyramids, rectangular
prisms, and rectangular pyramids.
g. Compare a plane figure to the surfaces of a solid figure.
h. Identify, describe, and model transformations: translations (slides),
reflections (flips), and rotations (turns).
i. Identify and describe congruency of geometric figures and real-world
objects.
j. Identify, describe, and represent symmetry in geometric figures with
multiple lines of symmetry.
k. Use technology (Geometer’s Sketchpad and the Internet) to develop
problem-solving skills and strategies to apply geometric concepts.
l. Identify the ordered pair for a point and locate the point for an ordered
pair in the first quadrant of a coordinate grid.
Measurement
Objectives - The students will be able to:
a. Estimate, measure, and record in standard units of length (including
width, height, and distance) (inches [to 1/4 inch increments], feet,
yards, centimeters, meters) using the appropriate tool/unit.
b. Given a ruler, displaying both inches and centimeters, measure and
record length to the nearest millimeter, centimeter, or 1/4 inch.
c. Estimate and determine the perimeter of polygons and real world
objects.
d. Estimate and determine the area of regular polygons by using the
formula: l x w and irregular polygons by counting square units.
e. Estimate, measure, read, and record in standard units of weight (grams,
ounces, and pounds) using the appropriate tool/unit.
f. Estimate, measure, read, and record temperature (Celsius, Fahrenheit)
using the appropriate tool/unit.
g. Estimate, measure, read, and record capacity (cups, pints, quarts,
gallons, liters and milliliters) using the appropriate tool/unit.
h. Determine and use equivalent units within the same measurement
system.
i. Determine volume of regular and irregular three-dimensional figures
by counting cubic units using manipulatives.
j. Determine elapsed time and end time.
QUARTER 4
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation or number
sentence) perspectives.
Number Relationships and Computation (Ratios and Percent)
Objectives - The students will be able to:
a. Compare two quantities using a ratio.
b. Calculate equal ratios for two given quantities.
c. Identify percent and the symbol and name everyday uses for percent.
d. Identify and describe the relationships of fractions, decimals, and
percent.
Statistics (Analyze and Interpret Data)
Objectives - The students will be able to:
a. Analyze, interpret, and make predictions (in oral and written forms)
based on tables, single and double bar graphs, single and double line
graphs, and stem and leaf plots.
b. Organize and display data using line plots, line graphs, and stem and
leaf plots.
c. Determine the mode, median, and range for a given set of data.
d. Interpret a circle graph.
e. Use graphing software (GraphLinks, GraphPower, GraphClub or
Microsoft Excel) to construct tables and graphs.
QUARTER 1
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation, working
backwards) perspectives.
Algebra, Patterns, and Functions
Objectives - The students will be able to:
a. Identify, create, and extend a variety of numeric and non-numeric
patterns.
b. Analyze patterns and generalize rules illustrated in patterns.
c. Complete a function table when given a rule.
Number Relationships and Computation (Place Value, and Addition/Subtraction
of Whole Numbers)
Objectives - The students will be able to:
a. Identify place value and state the value of each digit in a given
numeral to 1,000,000,000.
b. Read, write, and compare (using >, <, =, ) numerals to
1,000,000,000.
c. Write numerals using expanded notation.
d. Add and subtract numbers up to six-digits with regrouping.
e. Use rounding to estimate sums and differences.
Statistics (Analyze and Interpret Data)
Objectives - The students will be able to:
a. Analyze, interpret, and make predictions (in oral and written form)
based on tables, frequency tables, single and double bar graphs, line
plots, single and double line graphs, stem and leaf plots, and circle
graphs.
b. Describe the shape and important features of a data set (using the
terms cluster, range, and outlier).
c. Find the mean, median, mode, and range of a data set.
d. Interpret a data set based on the mean, median, mode, and range.
Number Relationships and Computation (Multiplication and Division of Whole
Numbers)
Objectives - The students will be able to:
a. Identify prime numbers and composite numbers through 100.
b. Express a number as the product of its prime.
c. Recall and use multiplication facts for computation and problem-
solving situations.
d. Multiply a three-digit number by a two-digit number.
e. Use divisibility rules to determine if numbers are divisible by 2, 3, 5,
6, and 10.
f. Divide a four-digit number by a one- or two-digit divisor.
g. Interpret the remainder for a given situation.
h. Estimate products and quotients.
i. Solve a problem by choosing one of the following methods of
computation: mental math, estimation, use of a calculator, or use of an
algorithm.
QUARTER 2
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation, working
backwards) perspectives.
Number Relationships and Computation (Fractions)
Objectives - The students will be able to:
a. Read and write a fraction for a given region or part of a set.
b. Find factors and common factors of numbers.
c. Simplify fractions using the greatest common factor.
d. Find multiples and common multiples of numbers.
e. Identify and find the least common multiple to determine the least
common denominator.
f. Rename mixed numerals as improper fractions and improper fractions
as mixed numerals.
g. Add fractions with like and unlike denominators with sums greater
than and less than one.
h. Subtract fractions with like and unlike denominators with regrouping.
i. Add and subtract mixed numerals with like and unlike denominators
with and without renaming.
j. Multiply a fraction by a whole number.
Number Relationships and Computation (Fractions, Decimals, and Percents)
Objectives - The students will be able to:
a. Identify equivalent decimals through thousandths.
b. Read, write, compare, and order decimals through thousandths and
show relationship to common fractions.
c. Represent fractions, mixed numbers, and decimals (through
thousandths) on a number line.
d. Represent fractions, decimals, and percents in equivalent forms using a
variety of strategies including models and drawings.
e. Add and subtract decimals through thousandths.
f. Round decimals to thousandths to estimate sums and differences.
g. Determine the approximate product of decimals in problems involving
money.
h. Select appropriate symbols and operations to solve multi-step
problems including money.
Probability
Objectives - The students will be able to:
a. Determine possible outcomes of independent events.
b. Find the probability of an event with equally likely outcomes and
express as a fraction, decimal, or percent.
c. Compare outcomes of theoretical probability with the results of
experimental probability.
Algebra, Patterns, and Functions
Objectives - The students will be able to:
a. Write the rule for a given function.
b. Construct a function table to solve a problem.
c. Write numeric expressions in equivalent forms.
d. Write and identify expressions to represent unknown quantities with
one unknown and one-operation (+, -, x, ÷ with no remainders).
e. Find the unknown in an equation using one operation (+, -, x, ÷ with
no remainders).
f. Identify, write or solve inequalities.
g. Identify the ordered pairs for points and locate the points for ordered
pairs in the first quadrant of a coordinate grid.
QUARTER 3
Problem Solving Strategies
Objective - The students will be able to:
a. Select and then apply appropriate strategies to solve a problem from
visual (draw a picture or diagram, create list, table or graph, act it out,
use manipulatives, use spatial reasoning), numerical (guess and check,
look for a pattern), and symbolic (write an equation, working
backwards) perspectives.
Geometry
Objectives - The students will be able to:
a. Identify, describe, label, and draw points, lines, line segments, and
rays.
b. Identify, describe, and classify lines as intersecting, parallel, or
perpendicular.
c. Identify, classify, measure (using a protractor), draw and label acute,
right, and obtuse angles.
d. Identify, define, and classify triangles as equilateral, isosceles, right, or
scalene and compare triangles by sides.
e. Identify polygons within a composite figure.
f. Identify the radius, diameter, and circumference of a circle.
g. Compare or classify quadrilaterals by length of sides and measure of
angles.
h. Identify and classify pyramids or prisms as triangular pyramids,
rectangular pyramids, triangular prisms or rectangular prisms by the
number of edges, faces or vertices.
i. Identify and classify pyramids as triangular or rectangular by the base.
j. Analyze the relationship between plane geometric figures and surfaces
of solid figures: compare triangles to rectangular prisms and
circles/rectangles to cylinders.
k. Identify and model transformations: translations, reflections, and
rotations
l. Identify, describe, and represent similarity and congruency of
geometric figures and real-world objects using the appropriate
symbols.
Measurement
Objectives - The students will be able to:
a. Use standard units (yards, meters, degrees, and other units) to measure
objects.
b. Select and use benchmarks to estimate measurements.
c. Select the appropriate tool/unit for measuring attributes of length
(including perimeter, width, height, circumference, and distance) area,
weight temperature, time, capacity, volume, and size of angle (using a
protractor).
d. Use equivalent units within the same system (convert between inches,
feet, and yards; millimeters, centimeters, meters; seconds, minutes,
hours; pints, quarts, and gallons).
e. Estimate and determine the perimeter of polygons and real world
objects.
f. Determine the lengths of the sides of a regular polygon, given the
perimeter.
g. Estimate and determine the area of rectangles, and estimate the area
within any closed figure.
h. Use formulas to find the area of a rectangle, square, triangle and
parallelogram.
i. Represent how the perimeter of a two-dimensional figure can change
when the area stays constant.
j. Estimate and determine the volume of a rectangular prism using
manipulatives and formulas (V= lwh).
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