INTEGRATED MATH 2 – SEMESTER 1 TOPICS/OBJECTIVES (AND
STUDY TIPS)
ALGEBRA ESSENTIALS
Linear Equations:
Solve a multi-step equation with one variable (equations may
have fractions or distributing, and the variable may appear
more than once).
o Write and solve equations that represent real-world situations.
o Solve a literal equation for a specified variable (i.e., rearrange a
formula for a specified variable).
These concepts are primarily covered in the Intro Alternative Assessment and in
sections 13B and 13E of the MYP5+ textbook.
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FUNCTIONS
Function Basics:
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Graphing Linear Equations:
Know and be able to use the formula for slope.
Given an equation in slope-intercept form, standard (general)
form, or point-slope form, graph the corresponding line.
o Given a line, be able to write the corresponding linear equation
in slope-intercept form, standard (general) form, or point-slope
form.
o Be able to write the equations of horizontal and vertical lines.
o Use information about parallel or perpendicular lines when
writing equations for lines.
These concepts are primarily covered in sections 5C and 5E of the MYP5+
textbook.
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SYSTEMS OF EQUATIONS
Composition of Functions:
o
Solve a system of two linear equations by
graphing.
o Solve a system of two linear equations by
substitution.
o Solve a system of two linear equations by
elimination.
o Write and solve a system of equations which represents a
particular scenario.
These concepts are primarily covered in your handouts from class.
Find the composition of two functions.
These concepts are primarily covered in section 14D of the MYP5+ textbook.
Transformations of Functions:
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Understand and represent transformations of functions, both
algebraically and graphically.
These concepts are primarily covered in sections 14E of the MYP5+ textbook.
Inverse Functions:
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Writing and Solving Systems:
o
Determine whether a relation is a function by looking at a graph or
set of data.
Understand and identify the domain and range of a function.
Understand function notation and be able to evaluate functions.
These concepts are primarily covered in sections 14A, 14B, and 14C of the MYP5+
textbook.
Find an inverse function algebraically and graphically.
Determine if two functions are inverses, both algebraically and
graphically.
These concepts are primarily covered in section 14F of the MYP5+ textbook.
Piecewise Functions:
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Graph piecewise functions.
Determine the domain and range of piecewise functions.
Given a graph, write the corresponding piecewise function.
Apply a piecewise function to a real-world situation.
These concepts are primarily covered in the notes and handouts from class.
STUDY TIPS FOR YOU:
QUADRATIC FUNCTIONS
Solving Quadratic Equations:
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Solve quadratic equations by taking the square root of both sides.
(Section 9A)
Solve quadratic equations by factoring. (Section 9B)
Solve quadratic equations by completing the square. (Section 9C)
Solve quadratic equations by using the quadratic formula. (Section
9E)
Use quadratic equation solving techniques in application problems.
(Section 9D)
These concepts are primarily covered in chapter 9 of the MYP5+ textbook.
Using Quadratic Functions:
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Identify whether or not a function is quadratic. (Section 17A)
Use a quadratic function to find unknown values, especially in
application problems. (Section 17A)
Graph quadratic functions (parabolas) and be able to find and
identify key features of the graph, including
o x-intercepts/zeros/solutions/roots (Section 17C)
o the y-intercept (Section 17C)
o the vertex (maximum/minimum point) (Section 17D)
o the axis of symmetry (Section 17D)
Understand the relationship between “vertex form” and
transformations of parabolas. (Section 17B)
Given a quadratic function in vertex form, identify the vertex and
graph the parabola. (Section 17B)
Use quadratic functions in application problems involving
optimisation (finding min/max). (Section 17E)
These concepts are primarily covered in chapter 17 of the MYP5+ textbook.
Quadratic Systems:
o
Solve systems of equations involving both linear and
quadratic functions.
This concept is primarily covered in supplemental
notes/handouts from class.
1) Use red, yellow, and green colored
pens/pencils to color in each bullet point on
this paper according to the following key:
Green – I feel good about this topic.  I don’t need to spend
extra time studying this.
Yellow – I am a bit shaky on this topic. I will go over old quiz
and test problems and will possibly redo some
homework problems.
Red – I need to study this a lot. I will go over old quiz and test
problems, will redo some homework problems, and I will
ask questions at tutorial if necessary.
2) Redo all problems that you missed on old quizzes or tests (and review
handouts):
 Cover up your old work with a piece of scratch paper, and then
redo the problem.
 Check your answer – if you don’t know if your answer is correct,
come see at tutorial and you can look at the answer keys or ask
me.
 Check the boxes here once you are done (and correct!)
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Algebra Essentials Quiz
Algebra Essentials Alternative Assessment
Algebra Essentials and Systems of Equations Review
Algebra Essentials and Systems of Equations Test
Functions Quizzy #1
Functions Quizzy #2
Functions Review Questions
Functions Test
Quadratics Review Questions
Quadratics Quiz/Alternative Assessment
3) Go to mymaths.co.uk and do a “search” for some of the topics
that you found difficult. Do the corresponding online lessons and
homework problems.