math 500 ​ONLINE ACADEMIC LIBRARY (2nd semester)

​​Math 500 is a full-year elementary math course focusing on number skills, numerical literacy, and geometric concepts. In it, students will gain solid experience with number theory and operations, including whole numbers, decimals, and fractions. In addition, students will develop their understanding of measurement and two- and three- dimensional figures. This course also integrates mathematical practices throughout the units, as well as introducing students to algebraic, statistical, and probability concepts.

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MATH 500 ONLINE SECOND SEMESTER

Unit 6- FACTORS AND FRACTIONS 

Unit 7- FRACTION OPERATIONS 

1. Factors
   • Divisibility tests for 2, 3, 4, 5, 6, 9, 10  
   • Recognizing divisibility  
   • Prime numbers  
   • Recognizing prime numbers  
2. Prime Factorization
   • Prime factorization  
   • Prime factorization exercise  
3. Greatest Common Factor
   • Greatest common factor  
   • Greatest common factor exercise  
4. Quiz: Factors
5. Alternate Quiz—Form A: Factors
6. Alternate Quiz—Form B: Factors
7. Fractions
   • Fraction basics  
   • More than one equal section  
   • Fractions on a number line  
8. Improper Fractions and Mixed Numbers
   • Mixed numbers and improper fractions  
   • Comparing improper fractions and mixed numbers  
   • Proper and improper fractions  
   • Converting mixed numbers to improper fractions  
9. Simplifying Fractions
   • Fractions in lowest terms  
   • Simplifying fractions  
   • Finding common denominators  
10. Equivalent Fractions
    • Equivalent fractions  
    • Equivalent fractions  
    • Equivalent fractions 2  
11. Quiz: Equivalent Fractions
12. Alternate Quiz—Form A: Equivalent Fractions
13. Alternate Quiz—Form B: Equivalent Fractions
14. Least Common Multiple
    • Least common multiple (LCM)  
    • ​Least common multiple  
    • Finding common denominators  
15. Comparing Fractions
    • Comparing fractions visually and on number line  
    • Comparing fractions with greater than and less than symbols  
    • Comparing fractions 2  
    • Ordering fractions  
    • Ordering fractions  
16. Fractions and Decimals
    • Rewriting a fraction as a decimal  ​
    • Rewriting fraction as a decimal to the hundredths place  
    • Converting decimals to fractions 1 (ex 1)  
    • Converting decimals to fractions 1 (ex 2)
    • Converting decimals to fractions 1 (ex 3)   
17. Rounding Fractions
    • Rounding Fractions  
18. Quiz: Fractions
19. Alternate Quiz—Form A: Fractions
20. Alternate Quiz—Form B: Fractions
21. Review
22. Test
23. Alternate Test—Form A
24. Alternate Test—Form B
25. Glossary and Credits

1.  Adding and Subtracting Fractions
   • Adding fractions with like denominators  
   • Adding fractions with common denominators  
   • Subtracting fractions  
   • Subtracting fractions with common denominators  
2. Adding and Subtracting Mixed Numbers
   • Adding mixed numbers with like denominators  
   • Subtracting mixed numbers with like denominators  
   • Adding and subtracting mixed numbers with like denominators  
3. Estimating Sums and Differences
   • Estimating wtih fractions and mixed numbers.avi  
   • Estimating with Fractions  
4. Quiz: Like Denominators
5. Alternate Quiz—Form A: Like Denominators
6. Alternate Quiz—Form B: Like Denominators
7. Adding Fractions
   • Visualizing equivalent fractions  
   •  Equivalent fractions  
   • Adding fractions with unlike denominators  
   • Adding fractions with unlike denominators  
8. Subtracting Fractions
   • Subtracting fractions with unlike denominators  
   • Subtracting fractions with unlike denominators  
9. Adding Mixed Numbers
   • Adding mixed numbers with unlike denominators  
10. Subtracting Mixed Numbers
    1. Subtracting mixed numbers  
    2. Subtracting mixed numbers 2  
11. Quiz: Unlike Denominators
12. Alternate Quiz—Form A: Unlike Denominators
13. Alternate Quiz—Form B: Unlike Denominators
14. Multiplying Whole Numbers and Fractions
    • Multiplying fractions and whole numbers  
    • Conceptual understanding of multiplying fractions and whole numbers  
15. Multiplying Fractions
    • Multiplying a fraction by a fraction  
    • Multiplying fractions  
16. Multiplying Mixed Numbers
    • Multiplying mixed numbers  
    • Multiplying mixed numbers  
17. Dividing Fractions
    • Understanding fractions as division  
    • Divide Fractions with Whole Numbers  
    • Dividing Fractions 2  
    • Using fractions as division to create mixed numbers  
18. Quiz: Multiplying and Dividing Fractions
19. Alternate Quiz—Form A: Multiplying and Dividing Fractions
20. Alternate Quiz—Form B: Multiplying and Dividing Fractions
21. Review
22. Test
23. Alternate Test—Form A
24. Alternate Test—Form B
25. Glossary and Credits

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Unit 8 - DATA ANALYSIS AND PROBABILITY

Unit 9 - GEOMETRY

1. Collecting Data and Frequency Tables
   • Creating a Frequency Table  
2. Measures of Central Tendency
   • Statistics intro: Mean, median and mode   
   • Finding mean, median and mode  
   • Exploring the mean and median  
3. Line Plots
   • Intro to line plots  
   • 5th Go Math Line Plots    
4. Stem-and-Leaf Plots
   • Reading stem and leaf plots  
   • Stem-and-Leaf Plot  
5. Quiz: Collecting and Analyzing Data
6. Alternate Quiz—Form A: Collecting and Analyzing Data
7. Alternate Quiz—Form B: Collecting and Analyzing Data
8. Bar Graphs
   • Creating bar charts 1  
   • Creating bar charts  
9. Line Graphs
   • Line graphs
   • Line Graphs
   • Maths - Line Graphs  
10. Choosing the Right Graph
    • Reading pictographs  
11. Quiz: Displaying Data
12. Alternate Quiz—Form A: Displaying Data
13. Alternate Quiz—Form B: Displaying Data
14. Probability
    • Probability explained  
    • Finding probability example  
15. Probability as a Fraction
    • Probability as a fraction  
    • Probability as a Fraction  
16. Listing Outcomes
    • Compound probability of independent events  
    • Coin flipping probability  
    • Three pointer vs free throwing probability  
17. Making Predictions
    • Probability - Theoretical Probability versus Experimental Probability  
    • Theoretical probability vs experimental probability  
18. Quiz: Probability
19. Alternate Quiz—Form A: Probability
20. Alternate Quiz—Form B: Probability
21. Review
22. Test
23. Alternate Test—Form A
24. Alternate Test—Form B
25. Glossary and Credits

1. Geometry Terms
   • Basic geometry: language and labels  
2. Angles
   • Angle basics  
   • Measuring angles in degrees  
   • Using a protractor  
   • Acute, right and obtuse angles  
3. Circles
   • Language and notation of the circle  
   • Circles: radius, diameter, circumference and Pi 
4. Quiz: Geometry
5. Alternate Quiz—Form A: Geometry
6. Alternate Quiz—Form B: Geometry
7. Polygons
   • Introduction to Polygons
   • Polygons  
   • Classifying Polygons  
8. Triangles
   • Scalene, isosceles, equilateral, acute, right, and obtuse triangles  
   • Using angles to categorize triangles  
   • Categorizing triangles  
   • Recognizing triangle types  
9. Quadrilaterals
   • Quadrilateral overview  
   • Quadrilateral properties  
10. Solid Figures
    • Chapter 10.1: Solid Geometry    
11. Quiz: Classifying Plane and Solid Figures
12. Alternate Quiz—Form A: Classifying Plane and Solid Figures
13. Alternate Quiz—Form B: Classifying Plane and Solid Figures
14. Similar and Congruent Figures
    • Similar and Congruent  
    • Congruent and Similar Triangles  
    • Similar triangle basics  
15. Transformations
    • Translations of polygons  
    • Rotation of polygons example  
    • Transformational Geometry (Translations, Rotations, Reflections)  
    • Transformations   
    • Geometry - Transformations and Isometries 
16. Symmetry
    • Axis of symmetry  
    • Lines of Symmetry  
17. Project: Constructions
18. Quiz: Transformations and Symmetry
19. Alternate Quiz—Form A: Transformations and Symmetry
20. Alternate Quiz—Form B: Transformations and Symmetry
21. Review
22. Test
23. Alternate Test—Form A
24. Alternate Test—Form B
25. Glossary and Credits

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Unit 10 - PERIMETER, AREA, AND VOLUME

Unit 11 - COURSE REVIEW AND EXAM

1. Polygons
   • Introduction to perimeter  
   • Perimeter and area basics  
   • Perimeter of a shape  
   • Perimeter   
   • Finding Perimeter  
2. Regular Polygons
   • Introduction to perimeter  
   • Perimeter of a shape  
3. Circumference
   • Circles: radius, diameter, circumference and Pi  
   • Labeling parts of a circle   
   • Circumference of a Circle
4. Quiz: Perimeter
5. Alternate Quiz—Form A: Perimeter
6. Alternate Quiz—Form B: Perimeter
7. Area
   • Perimeter and area basics  
   • Introduction to area and unit squares  
   • Measuring the same rectangle with different unit squares  
   • Cover a Plane Figure with Square Units (Area)  
8. Squares and Rectangles
   • Introduction to area and unit squares  
   • Measuring the same rectangle with different unit squares  
9. Parallelograms
   • Area of Parallelograms  
10. Calculating Area -triangles and trapezoids
    • Triangle area proofs  
11. Quiz: Area
12. Alternate Quiz—Form A: Area
13. Alternate Quiz—Form B: Area
14. Surface Area
    • Nets of polyhedra  
    • Nets of 3D figures  
    • Calculating surface area using net  
    • Surface area using nets  
15. ​Volume
    • How we measure volume  
    • Measuring volume with unit cubes 
    • Volume of a rectangular prism or box examples  
16. Solving Volume Problems
    • Volume word problem example  
17. Project: Solid Figures
18. Quiz: Solid Figures
19. Alternate Quiz—Form A: Solid Figures
20. Alternate Quiz—Form B: Solid Figures
21. Review
22. Test
23. Alternate Test—Form A
24. Alternate Test—Form B
25. Glossary and Credits

1. Course Review 1
2. Course Review 2
3. Exam
4. Alternate Exam—Form A
5. Alternate Exam—Form B