ELEMENTARY ALGEBRA B

CORE CURRICULUM MAP

Course Description (from Utah State Office of Education):  Students will investigate and solve problems, communicate and make connections, and apply skills in various contexts using linear and quadratic functions. Completion of this course, along with Algebra A, completes the Algebra requirement for graduation.  Note:  This outline contains only the suggested Algebra B material. At the end of this course, students will take the Algebra 1 End-of-Level Exam.

Term 1

August- September-October

Unit 1

Review concepts from Elementary Algebra A, including:

         Exponents and Powers[1.2.c] {book 1.2}

         Order of Operations[1.2.c] {book 1.3}

         Solving 1 and 2 step equations and inequalities[1.2.c] {book 1.4}

         Translating Words into Mathematical Symbols {book 1.5}

         Basic operations with Real Numbers, Rational/Irrational Numbers, and integers [I.1.b] {book 2.1, 2.3, 2.4, 2.5, 2.8}

         Distributive Property[1.2.c] {book 2.6}

         Combining Like Terms[1.2.c] {book 2.7} 

Unit 2

Solving multi-step equations and inequalities[1.2.c] {book 3.3, 3.4, 3.5, 3.6, 3.7}

Simplify, add, subtract, multiply, and divide expressions with square roots. [I.1.a] [I.2.a] {book 9.1, 9.3}

Solve problems using Pythagorean theorem [1.2.d] {not in textbook}

Solve quadratic equations that can be simplified to the form where by taking square roots. [3.5.a] {book 9.2}

 

Compute solutions to problems in exact forms and as approximations. [I.2.b]

 

Unit 3

Draw coordinate planes, identify quadrants, draw a label the coordinates, plot points

Identify slope from a graph and from an equation. [2.1.a]

Use the slope formula to find the slope between 2 points. [2.1.a]

Graph linear equations in slope-intercept form [2.3.d]

Graph linear equations using intercepts[2.3.d]

Graph linear equations from standard form.  Solve for y. [2.3.d]

 

 

Term 2

November-December

Unit 4

Write linear equations given the slope and y-intercept.

Write linear equations given a graph.[2.3.a]

Write linear equations given a point and the slope.[2.3.a]

Write linear equations given 2 points.[2.3.a]

Write equations of parallel and perpendicular lines

Find applications of linear equations and rates of change[2.1.d]

 

 

 

Unit 5

Solve systems of two linear equations graphically, with and without technology.[3.2.a]

Determine the number of possible solutions of a system of two linear equations[3.2.b]

Graph systems of linear inequalities and identify the solution area[3.2.c]

Review solving one, two, and mulit-step inequalities

 

 

 

UBSCT Math Preparation

** Administer Practice UBSCT Math Test and do a data analysis to see where students need the most help.  Focus on those areas, re-teach, and do guided practice activities.

Term 3

January February - March

Unit 6

Solve systems of two linear equations algebraically using the substitution method [3.2.a]

Solve systems of two linear equations algebraically the elimination method.[3.2.a]

Unit 7

Simplify and evaluate monomial expressions and formulas.[3.1.a]

 

Simplify the quotient of monomials using positive exponents[3.1.e]

 

Add/subtract polynomials[3.1.b]

Multiply monomials[3.1.c]

Multiplication Properties of Exponents[3.1.a]

Zero/Negative Properties of Exponents[3.1.a]

Division Properties of Exponents[3.1.a]

Unit 8

Multiply binomials FOIL[3.1.d]

Find the GCF of a polynomial[3.4.a]

Factor trinomials with integer coefficients of the form ax^2+bx+c.[3.4.b]

 

Factor the difference of two squares and perfect square trinomials.[3.4.c]

(Illustrate multiplication of polynomials using area models[3.1.d])

 

 

Term 4

April-May-June

Unit 8

Multiply binomials FOIL[3.1.d]

Find the GCF of a polynomial[3.4.a]

Factor trinomials with integer coefficients of the form ax^2+bx+c.[3.4.b]

 

Factor the difference of two squares and perfect square trinomials.[3.4.c]

 

Solve quadratic equations using factoring.[3.5.b]

 

Write a quadratic equation when given the solutions.[3.5.c]

(Illustrate multiplication of polynomials using area models[3.1.d]

 

Unit 9

Determine whether the relationship between two variables is approximately linear or non-linear by examination of a scatter plot.[4.1.b] 

 

Characterize the relationship between two linear related variables as having positive, negative, or approximately no correlation.[4.1.c]

 

Use real-world data to create a scatter plot, find its line of best fit, and write the equation of that line.[4.1.a][4.2.a]

 

 

CRTs 

Final Exam Review

Final Exam

 

Enrichment Topics:

         Projects to emphasize linear models

         UBSCT Math Review

         Use and practice with graphing calculators

 

Vocabulary to emphasize:

         Simplify/Solve/Evaluate

         Linear/Non-Linear

         Expression/Equation

         Linear/Quadratic

         Square root/radical/rational/irrational

 

Re-Teach throughout the Year:

Anything that Junior High teachers felt needed to be re-emphasized after teaching Algebra A

Graphing linear equations in slope-intercept form and in standard form.