Algebra Sense

All videos below plus additional videos can be viewed at www.schooltube.com. Please visit the AlgebraSense channel.

Just click on a lesson to view the videos below. All video are in .wmv format

Number Sense and Number Theory

Select the best estimate for the coordinate of a given point on a number line

Identifying the opposite of a rational number

Square Root

Using exponents to simplify a monomial written in expanded form

Order a given set of rational numbers (fractional and decimal notations)

Identify the reciprocal of a rational number

Ratios and Proportions representing real world data

Apply the concept of slope to represent rate of change in a real world situation

Estimation, Measurement and Computation

Applying order of operation with integers using no more than two sets of grouping symbols and exponents 1 and 2

Calculating rate involving cost per unit to determine the best buy

Selecting a reasonable solution for a real world division problem in which the remainder must be considered

Adding and subtracting algebraic expressions

Multiplying 2 polynomials with each factor having no more than 2 terms

Using estimation to determine a reasonable solution to a tedious arithmetic computation

Select the area representation for a given product of 2 one-variable binomials with positive constants and coefficients

Patterns, Functions, and Algebraic Thinking

Extending a geometric pattern

Numerical Patterns

Translating a verbal expression into an algebraic expression in addition, subtraction, multiplication and division

Evaluating a first degree algebraic expression given values for one or more variables

Solving 1 and 2 step linear equations using integers with coefficients and constants

Selecting the algebraic notation which generalizes the pattern represented by data in a given table

Translating a verbal sentence into an algebraic equation

Selecting a graph that represents a given linear function expressed in slope intercept form

Solving multi-step linear equations (more than 2 steps, variables on only one side of the equation)

Solving multi-step linear equations (more than 2 steps, variables on both sides of the equation)

Solving multi-step linear equations (more than 2 steps, one set of parentheses on each side of the equation)

Selecting the linear graph that models the given real-world situation described in a narrative (no data set given)

Selecting the linear graph that models the given real-world situation described in a tabular set of data

Evaluating an algebraic expression given values for one or more variables using grouping symbols and/or exponents less than four

Determining the slope from the graph of a linear equation (no labeled points)

Appling the concept of rate of change to solve real world situations

Selecting the appropriate graphical representation of a given linear inequality

Selecting the non-linear graph that models real world situations or vise versa

Identify the graphical representation of the solution to a one variable inequality on a number line

Solving multi-step inequalities in a real world situation

Recognize the graphical transformation that occurs when coefficients and/or constants of the corresponding linear equations are changed

Determine the domain and/or range of a function represented by the graph of real world situations

Selecting the system of equations that could be used to solve a given real world problem

Finding the solution to a quadratic equation in standard form (integral solutions & a leading coefficient of one)

Selecting the solution to a quadratic equation in graphic form (integral solutions & a leading coefficient of one)

Select one of the factors (x+3) of a quadratic equation (integral solutions and a leading coefficient of one)

Selecting the discriminant of a quadratic equation (integral solutions and a leading coefficient of one)

Statistics and Probability

Identify ordered pairs in a coordinate plane

Determine the mean of a given set of data

Interpret bar graphs representing real world data

Interpret circle graphs representing real world data

Choose the matching linear graph given a set of ordered pairs

Making a prediction from the graph of a real-world data set

Determine the median for a given set of data

Apply principles of permutations and combinations in real world situations

Understand the theory behind permutations and combinations

Spatial Sense and Geometric Concepts

Estimate the area of irregular geometric figures on a grid

Applying the given formula to determine area or perimeter of a rectangle

Applying the given formula to determine area of a circle

Applying the given formula to determine circumference of a circle

Applying the given formula to determine volume of a rectangular solid

Apply Pythagorean Theorem to a real life problem illustrated by a diagram

Apply proportion and the concepts of similar triangle to find the length of a missing side of a triangle

Calculate the distance between 2 points given the Pythagorean Theorem and the distance formula

Each lesson taught by National Board Certified instructor in mathematics: Nicole Burgess of Metropolitan Nashville Public School System. Debbie Bunnell, media specialist at Barren County Middle School, creator of each DVD through filming and editing.

Contact Information

Nicole Burgess

Hume Fogg Academic High School

700 Broadway

Nashville, TN 37203

615-291-6300

E-mail: paula.burgess@mnps.org

Debbie Bunnell

Barren County Middle School

555 Trojan Trail

Glasgow, KY 42141

E-mail: debbie.bunnell@barren.kyschools.us

ALGEBRA SENSE

Nashville, TN

All rights reserved. No part of Algebra Sense may be reproduced, stored in a retrieval system or transmitted in any form or by any means electronic or otherwise. Produced in the United States of America

Quick Links