**numerators**

denominators

denominators

Ask students:

What is a fraction?

How to illustrate it?

What are numerators and denominators?

Do denominators identify amounts of equal parts or unequal parts?

Prior Knowledge

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.

Sample Question:

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.

Sample Question

: 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:

http://www.bbc.co.uk/bitesize/quiz/q56128425

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**

**Fractions**

Sample question

: 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

Teacher Resources

Fractions and decimals

http://www.helpingwithmath.com/printables/worksheets/fractions/4nf6fractions01.htm

Adding 10th and 100th

http://www.helpingwithmath.com/printables/worksheets/fractions/4nf5fractions01.htm

Fractions worksheets

http://www.math-aids.com/Fractions/

Fractions and word problems

http://www.mathocean.com/2009/08/fraction-word-problems.html

Contents for each grade

http://www.adaptedmind.com/gradelist.php

Grade 7-9

http://www.analyzemath.com/middle_school_math.html

geometry formulas

http://www.iq.poquoson.org/2005vasol/eocgeom/eocgeomformulas05.htm

Quadratic equation worksheets

http://www.mathworksheets4kids.com/equations/quadratic.html

LCM and GCF of 3 numbers

Students may have difficulty with the conceptual understanding of multiplication and division of fractions.

Sample question

: Could you use pictures or diagrams to illustrate:

1/3 x 1/2 = 1/6 4/5 ÷ 1/5 = 4

Skills

Solve:

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)

Sample Question

: 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.

Sample problem

: 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.

Note

: If students have any problems solving an equation with fractions, they can watch the video below:

Note

: See the video for

help clarifying GCF and LCD/LCM

GCF

LCD/LCM

More word problems

: http://www.mathocean.com/2009/08/fraction-word-problems.html

https://www.khanacademy.org/math/pre-algebra/rates-and-ratios/ratios_and_proportions/v/ratio-word-problem-exercise-example-2

Please leave comments

and suggestions at :

http://padlet.com/ameliehuang/5d1r0pf0bevl

Grades 7-10

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.

Sample question

: 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)

Sample question

: 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

:

http://www.analyzemath.com/high_school_math/grade_10/geometry.html

http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Multiplying+Dividing%20Fractions%20and%20Mixed%20Numbers.pdf

More worksheet for students

http://www.kutasoftware.com/FreeWorksheets/PreAlgWorksheets/Add+Subtracting%20Fractions%20and%20Mixed%20Numbers.pdf

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)

http://roensmath.edublogs.org/files/2013/05/lessson-2-solving-linear-systems-by-graphing-1lecw8x.pdf

http://www.mathworksheets4kids.com/equations/linear/point-of-intersection-1.pdf

http://www.mathworksheets4kids.com/equations/multi-step-fractions-1.pdf

http://www.mathworksheets4kids.com/equations/multi-step-fractions-2.pdf

sample question

: Two lines 2/3 x + y = 2/9

3x - y = 3

Solve by graphing each line and finding the point of intersection

More resources:

Data Management and Probability

Students can use fractions to express the

experimental and theoretical probability of an

event. (G.7&8)

Sample questions:

Taye has the following data: 1/10,

d

, 1/10, 1/17, 1/3, 1/17. If the mode is 10, which number could

d

be?

Blaine has the following data: 1/12, 1/11, 1/11,

a

, 1/13. If the median is 1/12, which number could

a

be?