msrpeterson.weebly.commsrpeterson.weebly.com/.../2017_midyear_prep_package.docx · Web viewTrigonometry (Ch. 3) Format: 30 Multiple Choice Questions: 5 non calculator, 25 with calculator

Math 10(Foundations & Pre-Calculus) Mid-Year Review Name: _________________

Midyear Exam - Wednesday Feb. 1 or Thursday Feb. 2 during your math class

Recommended Textbook Review: Pg. 142 #10-14, Pg. 256 #1-25, Pg. 406 #1-7(Textbook review will NOT be marked)

Bring: Ruler Pencils and eraser Calculator Completed Review Package

Topics to be Included: Polynomials: expansion, factoring (Ch. 5) Exponents and Radicals (Ch. 4…Sec 4.1-4.3) Linear Functions (Ch. 6) Trigonometry (Ch. 3)

Format: 30 Multiple Choice Questions: 5 non calculator, 25 with calculator 5 Long Answer/Written Questions (calculator permitted for this section)

This review assignment will be marked out of 28 using our guidelines for homework: Show all you work clearly. Answers alone will receive no credit. Check your own answers with those on the website with a coloured pen. Correct all wrong answers beside your original work (or on a separate sheet of paper.) Ask during morning or afternoon extra help times if you need help correcting your work. Incomplete work

because you “did not know how to do a question” is NOT acceptable.

Criteria 8 6 4 2 0Completion Each section is

completely done and work is shown

Most sections are done and work is shown

Some sections are complete with work shown

Just answers are provided

Work not done

Checking All work has been checked and corrected in a different colour

All work has been checked and no corrections are shown

Some work has been checked

Work is correct and not checked

Work is incorrect and not checked

Study Notes(on assignment or separate sheet of paper)

Complete study notes/tips have been prepared

Some study notes/tips have been made

No study notes have been prepared

Four (4) marks will be awarded for submitting the package and study notes before the midterm!


Polynomials (Ch. 5, Review pg. 252)

Skill: Multiply Polynomials (5.1)Expand and simplify:

Skill: Add/Subtract Polynomials (5.1)Expand and Simplify:

Skill: Express any number as a product of primes (5.2)Calculate LCM and GCF of a monomial

Write as a product of primes: 64, 80


Find the LCM and GCF of:64, 80

Skill: Find the Common Factor of a Polynomial (5.2)Factor:

Skill: Factor Polynomial in the form (5.3)Factor:

Skill: Factor Polynomials in the form (5.3)Factor:


Skill: Factor Difference of Squares (5.4)Factor:

Skill: Recognize and Factor Perfect Square Trinomials (5.4)Factor:

Skill: Recognize and apply one or more of the factoring strategies (polynomial may not be factorable) (5.2-5.4)Factor:

Math 10(Foundations & Pre-Calculus) Mid-Year Review Name: _________________Functions (Ch. 6)

Skill: Interpret and explain the relationships among data, graphs and situations. (6.1)

Which situation could be represented by the graph shown?

A the cost of movie tickets per personB the distance travelled by a bus as it makes regular stops, as a function of timeC the cost of parking in a lot per hour, with a daily maximumD the height of a person climbing stairs, as a function of time

Match each scenario with its appropriate graph.a) the height of a bungee jumper after a jumpb) the vertical growth of a treec) the temperature of a cup of hot chocolate as it sits on a tabled) Calgary’s daily mean temperature


Skill: Describe and represent linear relations, using: words, ordered pairs, tables of values, graphs, equations. (6.1)

For the relation described by the equation , express the relation as a table of values, graph, set of ordered pairs and in words.

Skill: Identify a linear function given a set of ordered pairs, table of values, graph (6.2)

Is each function below linear or non-linear? Explain your decision.

a)

y = x + 32 b) c) (–5, 0), (–2, 1), (1, 2), (4, 3), (7, 4) d)

Skill: Interpret a linear function written in function notation. (6.4)

If g(x) = , determine a) g(5) b) g(–3) c) x if g(x) =

Skill: Know and apply the vocabulary to describe a relation (6.2)

x y

1 1

2 1

3 2

4 3

5 5

Math 10(Foundations & Pre-Calculus) Mid-Year Review Name: _________________For the relation shown, state the:Independent Variable: Dependent Variable:

Does the graph represent a discrete or continuous relation:

How do you know?

Skill: Specify Domain and Range for a relation (given in each of the 5 forms from 6.1) using both set and interval notation. (6.3)

Give the domain and range of each using interval and set notation.

x y

7 3

5 2

3 1

1 0

{(10, 5), (8, 4), (6, 3), (4, 3), (2, 1)}

Math 10(Foundations & Pre-Calculus) Mid-Year Review Name: _________________Skill: Identify lines as having a slope of zero, undefined, positive, negative. (6.5)Label each line segment as having a slope that is zero, undefined, positive or negative:

AB CD

EF GH

Skill: Be able to find the slope of a line given: a diagram, graph, set of points. (6.5) Calculate the slop of each of the following:The slope of line segment CD on the above graph.

Calculate the slope of the incline in the diagram below.

A line segment passing through the points E(2, –5), F(7, 6)

Skill: Understand that slope is the rate of change. (6.5)

A carpenter makes cabinets for a construction company and must meet a daily quota. The manager checks his inventory after 4 days and finds that there are 56 cabinets. After 9 days, the same carpenter has made 126 cabinets.

a)What is the carpenter’s daily quota?

b)How does his daily quota relate to the slope of the line through the points (4, 56) and (9, 126)?

The world population increased from 5.76 billion in 1996 to 6.37 billion in 2006. Determine the rate of change in the world’s population.

Exponents and Radicals (Ch. 4)

Skill: Determine if a number is a perfect square or perfect cube (4.1)Determine if each of the following numbers are perfect squares, perfect cubes, neither or both: 64, 80, 196


Skill: Apply Exponent Laws to Simplify Expressions with Integral Exponents (4.2) Simplify, write with positive exponents:

Skill: Apply Exponent Laws to Simplify Expressions with Rational Exponents (4.3) Simplify, write with positive exponents:

Skill: Apply Exponent Laws to Evaluate Expressions (4.2-4.3)Simplify (no calculator):

Math 10(Foundations & Pre-Calculus) Mid-Year Review Name: _________________Skill: Apply Exponent Laws to Solve Problems (4.2-4.4)James invests $500 at 7% interest for 10 years. The formula he would use to calculate the value of his investment in 10

years is . How much money will James have in 10 years?

Ch. 3 Trigonometry

Skill: Given an angle in a right triangle, identify the opposite & adjacent sides, and the hypotenuse (3.1)

From the point of view of angle X, label the sides: opposite, adjacent and hypotenuse.

Skill: Use Pythagorean Theorem to find a missing length in a right triangle.

Find the indicated length:

Skill: State the Tangent Ratio (3.1)For each of the triangles below, find the value of .

X

X


Skill: Use the Tangent Ratio to Solve Triangles (3.1)Find the indicated value.

Jon is standing 12 m from the base of a flagpole. The angle of inclination to

the top of the flagpole is . How tall is the flagpole?

Skill: Use Sine and Cosine to solve problems that involve right triangles (3.2) Find the indicated value:

15 cm

8 cm

24”

25”


Skill: Use Trigonometry To Solve Right Triangles (3.3)Solve the following triangles:


Skill: Using Trigonometry in real life applications (3.3)Alex is sitting on the top of a 15 m. cliff looking at some rocks in the water below. They measure the angle of

declination (to the rocks) as . How far are the rocks from the base of the cliff? Include a diagram with your answer.

Sam is flying a kite. He has attached the kite string to a stake in the ground. The kite string measures 100 ft when is fully extended. The angle of inclination from the

stake to the kite is . How high is the kite? Include a diagram with your answer.

Skill: Solving multiple right triangles. (3.3)

Find the length marked b round your solution to the nearest hundredth.

Find the height of the taller building. How far apart are the two buildings?


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msrpeterson.weebly.commsrpeterson.weebly.com/.../2017_midyear_prep_package.docx · Web viewTrigonometry (Ch. 3) Format: 30 Multiple Choice Questions: 5 non calculator, 25 with calculator