Download Division: Special Education Course Number: IMTHA1/IMTHA2

Division: Special Education
Course Number: IMTHA1/IMTHA2
Course Title: Instructional Preparatory Enriched Algebra
Course Description: Preparatory Enriched Algebra emphasizes the
development of skills, techniques and concepts used in Pre Algebra and Algebra.
The first semester students will study Algebra topics such as Order of
Operations, exponents, and solving for variables. The second semester students
will study Geometry topics such as ratios, graphing lines, and writing the
equation of lines. The course is set up to support each student and reflect the
flexibility necessary to adapt to the individualized needs of each student with
respect to modifications, pace, and accommodations.
Content Objectives
By the end of this course, students will be able to:
A.
Use the order of operations to evaluate Algebraic expressions.
B.
Simplify Algebraic expressions using mathematical operations.
greatest, or greatest to least.
C.
Understand, and apply properties of fractions.
D.
Identify and apply the Pythagorean Theorem.
E.
Understand and apply properties of exponents.
F.
Identify, factor, and solve proportions.
G.
Solve multistep arithmetic problems.
H.
Identify, classify, and apply basic geometry terms.
I.
Identify and apply the Pythagorean Theorem
J.
Understand and apply properties of exponents.
College Readiness Standards
By the end of this course, students will be able to:
A.
Undersatnd and apply basic operations and applications
B.
Understand and apply probability, statistics, and data analysis
C.
Understand numbers: concepts and properties
D.
Solve expressions, equations and inequalities
E.
Develop graphical representations
F.
Apply properites of plane figures
Social-Emotional Learning Objectives
By the end of this course students will be able to:
A.
Develop self awareness skills
B.
Develop social awareness skills
C.
Develop self management skills
D.
Devleop relationship skills
E.
Develop responsible decision making skills
Content Learning Targets
A. Identify arithmetic and geometric patterns.
1.
I will evaluate expressions using the order of operations.
2.
I will write Algebraic expressions from verbal models.
3.
I will interpret and plot numbers on a scatter plot.
B. Simplify Algebraic expressions using mathematical operations.
1. I will simplify expressions using mathematical operations.
2. I will evaluate written word problems using addition, subtraction,
multiplication and division.
3. I will transform a verbal expression into an Algebraic expression.
4. I will round decimals.
5. I will list numbers in order from least to greatest, or greatest to
least.
C. Understand, and apply properties of fractions.
1. I will convert decimals to fractions and fractions to decimals.
2. I will convert decimals to percentages and percentages to
decimals.
3. I will identify and use inequality symbols.
4. I will add/subtract fractions.
5. I will multiply/divide fractions.
D. Identify and apply the Pythagorean Theorem.
1. I will combine like terms.
2. I will solve one-step equations in the form of x + a = b, when a
and b are whole numbers or decimals.
3. I will solve routine two-step equations.
4. I will identify and apply the distributive property.
E. Understand and apply properties of exponents.
1. I will identify and name new Algebra terms (exponents, area,
perimeter expanded form, GCF, factors, binomials).
2. I will evaluate exponents.
3. I will convert exponents into expanded form.
4. I will write expressions using exponents.
5. I will write a product of prime numbers.
6. I will find the Greatest Common Factor.
7. I will evaluate perimeter and area of a figure.
F. Identify, factor, and solve proportions.
1. I will write ratios and solve proportions.
2. I will identify similar proportions and use scale factors to set up
and solve problems.
3. I will set up and solve problems using proportional parts.
4. I will recognize and use proportional relationships in real life
applications.
G. Solve multistep arithmetic problems.
1. I will solve for x using one step applications (add, subtract,
multiply, divide).
2. I will solve for x using two steps.
3. I will solve for x when x is on both sides of the equation.
4. I will write verbal equations and solve for x
H. Identify, classify, and apply basic geometry terms.
1. I will identify and name new geometry terms (points, lines,
planes, rays, segments, distance).
2. I will classify triangles by their sides and angles.
3. I will identify the sum of the angles in a triangle and use it to set
up and solve algebraic equations.
4. I will apply the properties of isosceles triangles and use them to
set up and solve algebraic equations.
5. I will identify congruent triangles and corresponding parts and
use them to set up and solve algebraic equations.
I. Identify and apply the Pythagorean Theorem.
1. I will classify and measure angles.
2. I will name an angle and its parts
3. I will identify and apply angle relationships (addition,
congruence, bisectors, vertical, linear pair, supplementary,
complementary, perpendicular).
4. I will find distance and midpoint on a number line and coordinate
plane.
5. I will identify the Pythagorean Theorem and Midpoint Formula.
J. Understand and apply properties of exponents.
1. I will identify quadrants on a coordinate plane.
2. I will find a slope and write an equation of a line, including
parallel and perpendicular lines.
3. I will graph an equation of a line using the slope and y-intercept.
4. I will write the equation of a line knowing two coordinator points
College Readiness Learning Targets
A. Understand and apply basic operations and applications.
1. I will perform one-operation computation with whole numbers
and decimals.
2. I will solve problems in one or two steps using whole numbers.
3. I will perform commom conversions (eg., inches to feet or hours
to minutes).
4. I will solve routine one-step arithmetic problems (using whole
numbers, fractions, and decimals) such as single step percent.
5. I will solve some routine two-step arithmetic problems.
6. I will solve word problems containing several rates, proportions,
or percentages.
B. Understand and apply probability, statistics, and data analysis.
1. I will calculate the average of a list of postive whole numbers.
2. I will calculate the average of a list of numbers.
3. I will read tables and graphs.
C. Understand numbers: concepts and properties.
1. I will recognize equivalent fractions and fractions in lowest terms.
2. I will exhibit knowledge of elementary number concepts including
rounding, the ordering of decimals, pattern identification,
absolute value,primes, and greatest common factor.
3. I will find and use the least common multiple.
4. I will Order fractions.
5. I will work with numerical factors.
6. I will work with scientific notation.
7. I will work with squares and square roots of numbers.
8. I will work problems involving positive integer exponents.
D. Apply expressions, equations and inequalities.
1. I will exhibit knowledge of basic expressions (e.g., Identify an
expression for a total b+g).
2. I will solve equations in the form x+a=b, where a and b are whole
numbers or decimals.
3. I will substitute whole numbers for unknown quantities to
evaluate expressions.
4. I will solve one-step equations having integer or decimal
answers.
5. I will combine like terms (e.g., 2x + 5x).
E. Apply and interpret gaphical representations.
1. I will identify the location of a point with a positive coordinate on
the number line.
2. I will locate points on the number line and in the first quadrant.
3. I will locate points in the coordinate plane.
4. I will exhibit knowledge of a slope.
F. Understand and apply properites of plane figures.
1. I will exhibit knowledge of the angles associated with parallel lines.
2. I will exhibit knowledge of basic angle properties and special sums of
angle measures (e.g., 90°, 180°, 360°).
3. I will use the Pythagorean Theorem.
G. Understand and apply mnasurement.
1. I will compute the perimeter of polygons when all side lengths are
given.
2. I will compute the area of rectangles when whole number dimensions
are given.
Social-Emotional Learning Targets
A. Self Awareness
1. I will predict my emotions given a potential event or series of events.
2. I will recognize when I am beginning to feel stressed.
3. I will recognize how others perceive me.
4. I will recognize when I need help.
5. I will identify my strengths.
6. I will identify my area for growth.
B. Social Awareness
1. I will listen attentively to understand another person’s feelings and/or
perspectives.
2. I will evaluate how my actions impact others.
3. I treat others with respect.
C.
Self Management
1. I will think before responding.
2. I will listen to others without interrupting.
3. I will follow rules of the school.
4. I will remain calm and composed in stressful situations.
5. I will start and complete tasks without needing to be prompted or
reminded.
6. I will create individualized short-term and long-term goals for myself.
7. I will monitor and evaluate my progress towards reaching my goals.
8. I will identify various resources to help me reach my goals.
D.
Relationship Skills.
1. I will work cooperatively with others.
2. I will work well in teams by soliciting other’s input.
3. I will work well in teams by encouraging participation of everyone
present.
4. I will communicate my emotions to others in healthy ways.
5. I will invite and welcome feedback from others.
6. I will consider feedback from others.
7. I will recognize when others need help.
E. Responsible Decision Making.
1. I will identify resources before making my decisions.
2. I will utilize resources before making my decisions.
3. I will choose to be encouraging, kind, and polite toward others.