Jewels Educational Services for Up-and-coming Scholars
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Mathematics:
NUMBER SENSE
1.0 Students understand the place value of whole numbers and decimals to two decimal places and how whole numbers and decimals relate to simple fractions. Students use the concepts of negative numbers:

KINDERGARTEN
1.0 Students understand the relationship between numbers and quantities (i.e., that a set of objects has the same number of objects in different situations regardless of its position or arrangement):

Learning to Count

Learning to Add


1.1 Compare two or more sets of objects (up to ten objects in each group) and identify which set is equal to, more than, or less than the other.
Count and match (Interactive Web site)

1.2 Count, recognize, represent, name, and order a number of objects (up to 30).
Count and match (Interactive Web site)
Naps' 123s

1.3 Know that the larger numbers describe sets with more objects in them than the smaller numbers have.

2.0 Students understand and describe simple additions and subtractions:

2.1 Use concrete objects to determine the answers to addition and subtraction problems (for two numbers that are each less than 10).

3.0 Students use estimation strategies in computation and problem solving that involve numbers that use the ones and tens places:

3.1 Recognize when an estimate is reasonable.


1.1 Read and write whole numbers in the millions.

Tutorial
Watch this animated math lesson.

LESSON 1: Place Value (Watch the Video)
LESSON 2: Numbers in Expanded Form (Interactive Web Site)

Animated Lesson
Adding Roman numerals.

Animated Lesson
Subtracting Roman numerals.

Comparing Numbers
1.2 Order and compare whole numbers and decimals to two decimal places.


LESSON 3: Aligator Lunch (Interactive Web Site)
LESSON 4:Comparing Whole Numbers
LESSON 5: Using Comparison Symbols I (Interactive Web Site)
LESSON 6: Using Comparison Symbols II (Interactive Web Site)
LESSON 7: Ordering Numbers to 100
LESSON 8: Ordering Three-digit Numbers (Interactive Web Site)
LESSON 9: Ordering Decimal Numbers (Interactive Web Site)
LESSON 10; Ordering Decimal Numbers II (Interactive Web Site)
ASSESSMENT: Ordering and Compring Whole Numbers - Level 4

Rounding
1.3 Round whole numbers through the millions to the nearest ten, hundred, thousand, ten thousand, or hundred thousand.

Tutorial
Watch this animated math lesson on rounding using a number line.

Rounding Off Numbers Practice

1.4 Decide when a rounded solution is called for and explain why such a solution may be appropriate.

Show Me: Estimation of Whole Numbers
Students have direct instruction on how to estimate whole numbers and how it applies to the real world.

Let Me Try: Estimation of Whole Numbers
Students apply knowledge of estimating with whole numbers.


Fractions
1.5 Explain different interpretations of fractions, for example, parts of a whole, parts of a set, and division of whole numbers by whole numbers; explain equivalents of fractions (see Standard 4.0).
Equivalent Fractions (Interactive Web Site)

1.6 Write tenths and hundredths in decimal and fraction notations and know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 or .50; 7/4 = 1 3/4 = 1.75).

Animated Lesson
Write tenths and hundredths in decimal and fraction notations

Animated Practice
Draw lines to match each fraction with its equivalent decimal

Place Value: Understanding Decimal Numbers 4
See Lesson 1: "Writing Decimals" 4
Matching Equivalent Decimals


1.7 Write the fraction represented by a drawing of parts of a figure; represent a given fraction by using drawings; and relate a fraction to a simple decimal on a number line.



Negative Numbers
1.8 Use concepts of negative numbers (e.g., on a number line, in counting, in temperature, in "owing").
Lesson 6: Understanding Integers 4

Number Line
1.9 Identify on a number line the relative position of positive fractions, positive mixed numbers, and positive decimals to two decimal places.

2.0 Students extend their use and understanding of whole numbers to the addition and subtraction of simple decimals:

Decimal Numbers
2.1 Estimate and compute the sum or difference of whole numbers and positive decimals to two places.
Addition and Subtraction of Decimals 4

2.2 Round two-place decimals to one decimal or the nearest whole number and judge the reasonableness of the rounded answer.

Animated Lesson
Rounding decimals to the nearest whole number.

Animated Test
Rounding decimal numbers

Lesson 9: Rounding Decimal Numbers (Watch the Video)
Rounding to the nearest ten/dollar (Interactive Website)

3.0 Students solve problems involving addition, subtraction, multiplication, and division of whole numbers and understand the relationships among the operations:

Computing Numbers
3.1 Demonstrate an understanding of, and the ability to use, standard algorithms for the addition and subtraction of multidigit numbers.

Base Blocks Subtraction
Subtract whole numbers through thousands using place-value models.

Matching Pictures to Number Sentences (Interactive Website)

3.2 Demonstrate an understanding of, and the ability to use, standard algorithms for multiplying a multidigit number by a two-digit number and for dividing a multidigit number by a one-digit number; use relationships between them to simplify computations and to check results.

Tutorial
We don't multiply this way in "The States."

Multiple Counting Practice
Multiples of 2, 3, and 5 (Interactive Web Site)
Multiplication of Whole Numbers 3

3.3 Solve problems involving multiplication of multidigit numbers by two-digit numbers.

3.4 Solve problems involving division of multidigit numbers by one-digit numbers.

4.0 Students know how to factor small whole numbers:

Factoring
4.1 Understand that many whole numbers break down in different ways (e.g., 12 = 4 x 3 = 2 x 6 = 2 x 2 x 3).
Factors of Whole Numbers (Interactive Web Site)
Lesson 7: Factors, Multiples, and Prime Facatorization 4

4.2 Know that numbers such as 2, 3, 5, 7, and 11 do not have any factors except 1 and themselves and that such numbers are called prime numbers.

Animated Test
Click on the apples with prime numbers as they fall from the tree.

Understanding Patterns (Watch the Video)


ALGEBRA & FUNCTIONS
1.0 Students use and interpret variables, mathematical symbols, and properties to write and simplify expressions and sentences:


KINDERGARTEN
Algebra and Functions
1.0 Students sort and classify objects:

1.1 Identify, sort, and classify objects by attribute and identify objects that do not belong to a particular group (e.g., all these balls are green, those are red).


Variables
1.1 Use letters, boxes, or other symbols to stand for any number in simple expressions or equations (e.g., demonstrate an understanding and the use of the concept of a variable).

Tutorial
Watch this animated math lesson on finding the value of a variable.

Order of Operations
1.2 Interpret and evaluate mathematical expressions that now use parentheses.

1.3 Use parentheses to indicate which operation to perform first when writing expressions containing more than two terms and different operations.
LESSON ?: Order of Operations (Watch the Video)

Formulas
1.4 Use and interpret formulas (e.g., area = length x width or A = lw) to answer questions about quantities and their relationships.
Lesson 12: Area and Perimeter 4

1.5 Understand that an equation such as y = 3 x + 5 is a prescription for determining a second number when a first number is given.

2.0 Students know how to manipulate equations:

2.1 Know and understand that equals added to equals are equal.
Concentration: Matching Two Sides of an Equation (Interactive Web Site)

2.2 Know and understand that equals multiplied by equals are equal.
Concentration: Matching Two Sides of an Equation (Interactive Web Site)



MEASUREMENT & GEOMETRY
1.0 Students understand perimeter and area:
Perimeter and Area (Watch the video)


KINDERGARTEN
Measurement and Geometry
1.0 Students understand the concept of time and units to measure it; they understand that objects have properties, such as length, weight, and capacity, and that comparisons may be made by referring to those properties:

Estimate and Measure with Chef Pierre
Students use non-standard units to estimate and measure.

1.1 Compare the length, weight, and capacity of objects by making direct comparisons with reference objects (e.g., note which object is shorter, longer, taller, lighter, heavier, or holds more).
1.2 Demonstrate an understanding of concepts of time (e.g., morning, afternoon, evening, today, yesterday, tomorrow, week, year) and tools that measure time (e.g., clock, calendar).
1.3 Name the days of the week.
1.4 Identify the time (to the nearest hour) of everyday events (e.g., lunch time is 12 o'clock; bedtime is 8 o'clock at night).
2.0 Students identify common objects in their environment and describe the geometric features:
2.1 Identify and describe common geometric objects (e.g., circle, triangle, square, rectangle, cube, sphere, cone).
2.2 Compare familiar plane and solid objects by common attributes (e.g., position, shape, size, roundness, number of corners).




Introduction to Measuring and Estimation (Watch the Video)
Plane Shapes
Inches and Feet

Area & Perimeter
1.1 Measure the area of rectangular shapes by using appropriate units, such as square centimeter (cm2), square meter (m2), square kilometer (km2), square inch (in2), square yard (yd2), or square mile (mi2).

Animated Lesson
Finding the area of plane figures using grids and formulas.

Lesson 12: Area and Perimeter 4
COUNTDOWN: Perimeter and Area (Watch the Video)

1.2 Recognize that rectangles that have the same area can have different perimeters.
NOTE: Select "Area and Perimeter"
Lesson 13: Relating Area and Perimeter 4

1.3 Understand that rectangles that have the same perimeter can have different areas.
NOTE: Select "Area and Perimeter"
Lesson 13: Relating Area and Perimeter 4

1.4 Understand and use formulas to solve problems involving perimeters and areas of rectangles and squares. Use those formulas to find the areas of more complex figures by dividing the figures into basic shapes.
Rectangular Area I (Interactive Web Site)
Rectangular Area II (Interactive Web Site)





2.0 Students use two-dimensional coordinate grids to represent points and graph lines and simple figures:

The Coordinate Grid
2.1 Draw the points corresponding to linear relationships on graph paper (e.g., draw 10 points on the graph of the equation y = 3 x and connect them by using a straight line).

2.2 Understand that the length of a horizontal line segment equals the difference of the x- coordinates.
Lesson 18: Using Ordered Pairs

2.3 Understand that the length of a vertical line segment equals the difference of the y- coordinates.
Lesson 18: Using Ordered Pairs





3.0 Students demonstrate an understanding of plane and solid geometric objects and use this knowledge to show relationships and solve problems:

3.1 Identify lines that are parallel and perpendicular.

3.2 Identify the radius and diameter of a circle.

3.3 Identify congruent figures.

Symmetry
3.4 Identify figures that have bilateral and rotational symmetry.
Lesson 17: Slides and Flips 4
Symmetry and Congruence (Watch the Video)
Lines of Symmetry (Interactive Web Site)

Angles
3.5 Know the definitions of a right angle, an acute angle, and an obtuse angle. Understand that 90°, 180°, 270°, and 360° are associated, respectively, with 1/4, 1/2, 3/4, and full turns.

Animated Lesson
Using a protractor to measure angles.

Measuring Turns (Interactive Web Site)
Sorting Angles (Interactive Web Site)
Identifying Angels (Interactive Web Site)



Shapes

Fact Sheet

Hang Ten
Identifying speres, cylindars, cones and cubes.

Names of Solids
Visualize, describe, and make models of geometric solids (e.g., prisms, pyramids) in terms of the number and shape of faces, edges, and vertices.

Animated Math Lesson
Use nets to recognize the relationship between planes and solids.

Package Company
Interpret two-dimensional representations of three-dimensional objects; and draw patterns (of faces) for a solid that, when cut and folded, will make a model of the solid.

Animated Practice
Click on the solid figure created when the net is folded.

Types of Triangles (Interacative Web Sites)
Know the definitions of different triangles (e.g., equilateral, isosceles, scalene) and identify their attributes.

Polygons and Non-polygons (Interactive Web Site)
Know the definition of different quadrilaterals (e.g., rhombus, square, rectangle, parallelogram, trapezoid).

Just for fun!
Rotate the building until you get the right side view (see the same shape)..


Weight and Capacity (Watch the Video)

Working with Tangrams (Watch the Video)



STATISTICS, DATA ANALYSIS, & PROBABILITY
1.0 Students organize, represent, and interpret numerical and categorical data and clearly communicate their findings:

KINDERGARTEN
Statistics, Data Analysis, and Probability
1.0 Students collect information about objects and events in their environment:

1.1 Pose information questions; collect data; and record the results using objects, pictures, and picture graphs.

1.2 Identify, describe, and extend simple patterns (such as circles or triangles) by referring to their shapes, sizes, or colors.


Representing Data
1.1 Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.

Animated Math Tutorial
How to read a line graph.

Animated Math Lesson
Circle graphs.

Click On: Analyzing Graphic Data (Interactive Web Site)
Lesson 10:Understanding and Interpreting Graphs 4
Reading Graphs I (Interactive Web Site)
Reading Graphs II (Interactive Web Site)
Reading Graphs III (Interactive Web Site)
Comparing Bar Graphs (Interactive Web Site)
Reading Bar Graphs IV (Interactive Web Site)
Reading Venn Diagrams (Interactive Web Site)
Reading Tables and Schedules (Interactive Web Site)

1.2 Identify the mode(s) for sets of categorical data and the mode(s), median, and any apparent outliers for numerical data sets.

Animated Test
Mean, median, and mode

1.3 Interpret one-and two-variable data graphs to answer questions about a situation.


PROBABILITY

2.0 Students make predictions for simple probability situations:

2.1 Represent all possible outcomes for a simple probability situation in an organized way (e.g., tables, grids, tree diagrams).

Animated Math Tutorial
Determining the probability of an event and showing it as a fraction.

Lesson 19: Probability 4
Lesson 2: Percent 4

2.2 Express outcomes of experimental probability situations verbally and numerically (e.g., 3 out of 4; 3 /4).
Lesson 3: Ratio 4
Lesson 19: Probability 4
Ratios, Rates and Proportions (Advanced) Online Textbook
Solving Proportions Using Cross Products pdf
Solving Proportions Using Cross Products TE pdf


MATHEMATICAL REASONING
1.0 Students make decisions about how to approach problems:

KINDERGARTEN
Mathematical Reasoning
1.0 Students make decisions about how to set up a problem:
1.1 Determine the approach, materials, and strategies to be used.
1.2 Use tools and strategies, such as manipulatives or sketches, to model problems.
2.0 Students solve problems in reasonable ways and justify their reasoning:
2.1 Explain the reasoning used with concrete objects and/ or pictorial representations.
2.2 Make precise calculations and check the validity of the results in the context of the problem.


Solving Word Problems
Click On: "Solving Problems" (Interactive Web Site)
Choose: "Strategies" - Act Out a Problem (Interactive Web Site)

1.1 Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, sequencing and prioritizing information, and observing patterns.
Choose "Strategies" - Look for a Pattern (Interactive Web Site)

1.2 Determine when and how to break a problem into simpler parts.
Choose "Strategies" - Multiple Step Problems (Interactive Web Site)

2.0 Students use strategies, skills, and concepts in finding solutions:

2.1 Use estimation to verify the reasonableness of calculated results.

2.2 Apply strategies and results from simpler problems to more complex problems.

2.3 Use a variety of methods, such as words, numbers, symbols, charts, graphs, tables, diagrams, and models, to explain mathematical reasoning.
Choose "Strategies" - Draw a Diagram (Interactive Web Site)
Choose "Strategies" - Put Data into a Table (Interactive Web Site)

2.4 Express the solution clearly and logically by using the appropriate mathematical notation and terms and clear language; support solutions with evidence in both verbal and symbolic work.

2.5 Indicate the relative advantages of exact and approximate solutions to problems and give answers to a specified degree of accuracy.

2.6 Make precise calculations and check the validity of the results from the context of the problem.
Choose "Strategies" - Guess and Check (Interactive Web Site)

3.0 Students move beyond a particular problem by generalizing to other situations:

3.1 Evaluate the reasonableness of the solution in the context of the original situation.

3.2 Note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.

3.3 Develop generalizations of the results obtained and apply them in other circumstances.
Word Sort
Select a Grade and a Unit, then click "Load game."

Complete the sentence
Select a Grade and a Unit, then click "Load game."

Proofreading
Select a Grade and a Unit, then click "Load game."

Spelling Bee
Select a Grade and a Unit, then click "Load game."

Home Spelling Practice
Home spelling practice book and homework spelling practice pages worksheets


Fish Tanks 2
Fill a tank with tropical fish using your knowledge of irregular plurals.

Contractions
Students will learn to identify and use contractions.

Wall of Words
Build Sentences as quickly as you can using word bricks you see at the bottom of the screen.


Author's Aim, Purpose, and Audience
Everything that is written has an aim, a purpose, and an audience.

Author's Purpose
Carefully read each of the topics below. Then write what the author's purpose might have been on the line that follows.
English/Language Arts:

READING

Letter Recognition
Word Analysis
Reading Comprehension
Literary Response



WRITING

Strategies
Applications
Grammar
Spelling



LISTENING
Strategies
Application





Mathematics:

Number Sense
Algebra & Functions