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For there is gold and a multitude of rubies, but the lips of knowledge are a more precious jewel. Proverbs 20:15
MATH CURRICULUM
Jewels Educational Services for Up-and-coming Scholars

Our certified instructors have harnessed a number of interactive sites to compile a comprehensive mathematics curriculum that both covers national math standards and provides detailed explanations to various math problems and critical concepts and quizzes aligned to actual textbook problems, in order to guage subject mastery, delivering rich and expressive content covering a wide variety of math topics.

Moreover, a live instructor is available for homework help, homeschool support, test preparation and educational enrichment via our online classroom platform.

This link to Saxon will enable you to create student worksheets with which your learners can practice their basic arithmatic facts.

Here are some math vocabulary crossword puzzles.

Here is another math vocabulary crossword puzzle maker.

This is for creating Cross Number Puzzles.

Another Cross Number Puzzle Maker?

Here are some math stumpers, whatever in the world those are!

Comparing Exponents

Math 7/6 From Chapre 20 onward.


Introduction to mathematics: (Interactive Video)



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:

Click on the Missing Number (Kindergarten)

Sorting Pennies and Dimes

Matching Dimes with Money Amounts to One Dollar

Cointing Coins (Interactive Web Site)

Making Change from One Dollar (Interactive Web Site)




Patterning

Sorting Fruit

Counting by 2s, 5s, and 10s

Elapsed Time (Interactive Web Site)


Cross Numbers

Basic Addition
Even and odd numbers
Dollars and Cents
Parts of a clock


1.1 Read and write whole numbers in the millions.
LESSON 1: Place Value (Watch the Video)
LESSON 2: Numbers in Expanded Form (Interactive Web Site)

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

Decimal Detective
Cathch the crooked decimal.

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.
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.
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.

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:

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).

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)

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).
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.

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

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

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

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


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:

Representing Data
1.1 Formulate survey questions; systematically collect and represent data on a number line; and coordinate graphs, tables, and charts.
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)
Click On: Applying Graphic Data (Interactive Web Site)
Click On: Analyzing Images (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.

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

Chance, Odds, Etc...
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).
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:

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.
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LINKS!

LearnAlberta.ca/Grade=5 provides online multimedia learning resources correlated to Alberta programs of study for the K-12 community in Alberta, but a number of resources are applicable to US students as well.

NUMBER SENSE
  • Place Value
  • Multiples, Factors, Primes and Composites
  • Proper Fractions
  • Equivalent Fractions
  • Comparing in Ordering Fractions
  • Comparing and Ordering Decimals
  • Conditioned in Subtraction of Decimals
  • Multiplication of Hole Numbers
  • Division of Hall Numbers
  • Multiplication in Division of Decimals

MEASUREMENT & GEOMETRY
  • Area in Perimeter
  • Area in Perimeter of Irregular Shapes
  • Volume
  • Time
  • Triangles
  • Polygons
  • Slides, Flips and Turns
  • Tessellations
  • Ordered Pairs

STATISTICS & PROBABILITY
  • Displaying Data
  • Determining Odds

PATTERNS
  • Displaying Data
  • Probability


Other available LearnAlberta.ca links
include . . .

LearnAlberta.ca Grade 3
LearnAlberta.ca Grade 6
LearnAlberta.ca Grade 10

Use keywords to search for the curriculum materials you need.