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Transcript of Fractions
What is a fraction?
How to illustrate it?
What are numerators and denominators?
Do denominators identify amounts of equal parts or unequal parts?
Activate students' prior understanding of factors, multiples, integers, improper fractions, equivalent fractions. Students should be able to represent fractions with words, concrete materials and notation.
Place fractions: 7/10, 1/2, -9/10, 1 1/10, and - 3/5 on a number line.
Number Sense and Numeration
Comparing fractions, ratios, decimals, and percents.
: Arrange these numbers "13/20, 0.78, 31:50, and 62%" from smallest to largest. (G.7)
G. 7 students solve problems involving rate, unit rate. G.8 and up solve problems involving percent and proportion.
Facts & Skills
Adding and subtracting fractions with different denominators.
7/8+ 5/6 = 12/ 36 + 1/3 =
4 2/3 + 5 4/9 = 7/3 + 5/8=
7/8 - 5/6 = 9/4 - 6/5 =
5 1/2 - 8 1/4= 4 4/7 - 2 7/8 =
More worksheet for students:
Students may require clarification of LCD, LCM, or GCF. Videos such as the ones on the next slide can help.
Game and Quiz for Students
Quiz - Finding equivalent fractions:
Facts & Skills
Students can multiply and divide fractions and mixed numbers.
1 1/7 x 12/ 13 = 4/9 X 18 =
2.5 ÷ 1/2 = 4/7 ÷ 13/3 =
6/13 ÷ 5/9 = 6 1/3 X 1 1/2 =
Big Ideas & Fractions
: Apart from a number line, what other ways do you know to illustrate fractions?
Sample word problems:
1) Edward won 80 dollars, which is 2/5 of the total cash prize for winning a race. In the same race, Stewart won 50 dollars. What was the percentage of Stewart's prize of the total cash prize of the race?
2) You have three quarters of a pizza, and you want to split it between yourself and 3 friends. How much pizza will each of you get?
Students may confuse the uses of part-whole relations and miss-use multiplication, division, addition and subtraction.
Game - Converting Decimals & Fractions: http://www.helpingwithmath.com/resources/games/bbc/decimals01.html
Skills and Applications
Fractions and decimals
Adding 10th and 100th
Fractions and word problems
Contents for each grade
Quadratic equation worksheets
LCM and GCF of 3 numbers
Students may have difficulty with the conceptual understanding of multiplication and division of fractions.
: Could you use pictures or diagrams to illustrate:
1/3 x 1/2 = 1/6 4/5 ÷ 1/5 = 4
2n/5 + n/5 = 20
t/7 - 3/5 = 8 + t/4
a/6 + 1/5 = a/3 - 4
m/9 x 6 = 5/12
4 2/7 ÷ t/5 = 4/3
Measurement & Geometry
Students solve problems involving the
area of a trapezoid (G. 7), a circle (G. 8), composite figures (G. 9); and problems involving the volume of pyramids or cones (G. 9)
: A circle has a perimeter of 15 1/3 m, what is the area of this circle? (G. 8)
Thank you for your following along.
: In language class, the girl to boy ratio is 5 to 8. If there are a total of 65 students, how many girls are there?
Note: If you need support for this question, play the video below.
: If students have any problems solving an equation with fractions, they can watch the video below:
: See the video for
help clarifying GCF and LCD/LCM
More word problems
Please leave comments
and suggestions at :
Measurement and Trigonometry
Solving problems involving surface
area and volume of pyramids and
cylinders. (G. 10 Applied) Determining, through investigation,
the trigonometric ratios of sine,
cosine, and tangent as ratios.
Patterning and Algebra
Model everyday relationships involving
rates G.7 Translate statements into
algebraic expressions and equations G. 7&8.
: A triangle has a perimeter of 50 2/5. If 2 of its sides are equal and the third side is 5 more than the equal sides, what is the length of the third side? (G.7&8)
: A cylinder has a volume for 90 4/5 square meters, the height is 8 1/2 m, what should be the surface area? (G. 10)
More geometry problems for grade 10
More worksheet for students
Linear Relations & Quadratic relations
Describing a linear relation and a graphical point of intersection G.9; Solving equations involving fractional coefficients, slope and quadratic relations. (G.10)
: Two lines 2/3 x + y = 2/9
3x - y = 3
Solve by graphing each line and finding the point of intersection
Data Management and Probability
Students can use fractions to express the
experimental and theoretical probability of an
Taye has the following data: 1/10,
, 1/10, 1/17, 1/3, 1/17. If the mode is 10, which number could
Blaine has the following data: 1/12, 1/11, 1/11,
, 1/13. If the median is 1/12, which number could