The Bridge Math Component has two goals. First it should directly support the
mathematics instruction that takes place in the technical modules. Second, it should
prepare students to take the first technical math courses at the college level. With both
of these goals in mind, the Math component has evolved as an instructional interplay of
(1) technology and functional math skills presented in a dedicated math class
environment, and (2) more opportunistic "math moments" occurring within
technology or communications instruction.
Modules and skills sessions have been developed to cover both situations. Math modules
are stand-alone units that are not sequenced for delivery, as is traditionally done, but
still represent specific building blocks of skills. They address the specific needs of the
technical content of the Bridge curriculum. The skills sessions are shorter "math
moments" that can be used as stand-alone units, but are also imbedded directly into
the technical curriculum as is appropriate. They introduce and reinforce important math
ideas, like proportional reasoning, algebraic thinking, measurement skills and graphing.
These sessions have been designed to be delivered by any of the Bridge instructors with
either science-based or shop math backgrounds.
Both modules and skills sessions attempt to approach instruction from the framework of
the learner. Students bring to the learning situation prior knowledge and learning
experience. Prior understanding provides the platform upon which further understanding
will be built. The instructor should therefore assume a fluid and flexible instructional
approach. In order to build basic mathematical definitions or to review very basic
concepts, learning can be accelerated by incorporating self-paced learning tools, such as
Skills Bank 4, a computer-based remediation software used as a prerequisite to certain
math and language arts areas. The attached chart maps out the use of Skills Bank 4 in
relation to specific math topics as either a prerequisite or post requisite reinforcement.
| Unit |
Topic |
Best Before Math Module |
Best After Math Module |
Best Before Tech Module |
| Basic Number Concepts (BNC)1 |
Place Value |
Pre-bridge |
Pre-bridge |
|
| BNC 2 |
Expanded Notation |
Pre-bridge |
|
|
| BNC 3 |
Number Lines |
Pre-bridge |
|
|
| BNC 4 |
Rounding |
Pre-bridge |
|
|
| BNC 5 |
Estimating |
Pre-bridge |
|
|
| BNC 14 |
Finding Missing Numbers in Equations |
Rate (Turnpike) |
|
|
| Basic Computation (BC) 5 |
Adding Decimals |
Tolerances |
Intro to Decimals |
Shop Math |
| BC 6 |
Subtracting Decimals |
Tolerances |
Intro to Decimals |
Shop Math |
| BC 7 |
Multiplying Decimals |
|
Intro to Decimals |
Shop Math |
| BC 8 |
Dividing Decimals |
|
Intro to Decimals |
Shop Math |
| BC 9 |
Adding Like Fractions |
|
Fractions I |
Measuring Devices |
| BC 10 |
Adding Unlike Fractions |
|
Fractions I |
Measuring Devices |
| BC 11 |
Adding Mixed Numbers |
|
Fractions I |
Measuring Devices |
| BC 12 |
Subtracting Like Fractions |
|
Fractions I |
Measuring Devices |
| BC 13 |
Subtracting Unlike Fractions |
|
Fractions I |
Measuring Devices |
| BC 14 |
Subtracting Mixed Numbers |
|
Fractions I |
Measuring Devices |
| BC 15 |
Multiplication of Fractions |
|
Mult. Frac. |
Measuring Devices |
| BC 16 |
Multiplication of Mixed Numbers |
|
Mult. Frac. |
Measuring Devices |
| BC 17 |
Division of Fractions |
|
Mult. Frac. |
|
| BC 18 |
Division of Mixed Numbers |
|
Mult. Frac. |
|
| BC 19 |
Introduction to Ratio and Percent |
|
Rate (Turnpike) |
|
| BC 20 |
Interchanging Fractions and Decimals |
|
Fractions I, Intro to Decimals, Converting Fractions and Decimals |
Shop Math |
| BC 21 |
Interchanging Percentages and Decimals |
|
Fractions I, Intro to Decimals |
|
| BC 22 |
Interchanging Fractions and Percentages |
|
Fractions I, Intro to Decimals |
|
| BC 23 |
Finding a Percentage |
|
After the similar math moment |
|
| BC Quiz 9-18 |
|
|
|
|
| BC Quiz 19-23 |
|
|
|
|
| BASIC word Problems (BWP) 10 |
Word Problems about Money |
|
|
|
| BWP 11 |
Menu and Price Lists |
|
|
|
| BWP 12 |
Averages |
|
|
|
| BWP 13 |
Decimals and Fractions |
|
Fractions I, Introduction to Decimals |
|
| BWP 14 |
Standard Units of Measurement |
|
|
|
| BASIC Measurement and Geometry (BMG) 1 |
Reading a Ruler |
Intro to Decimals, Measuring Devices, Estimating Pi |
|
Measuring Devices |
| BMG 2 |
Appropriate Units of Measure |
|
Unit Conversion |
Measuring Devices |
| BMG 7 |
Fraction Part of a Set |
|
Fractions I |
Measuring Devices |
| BMG 8 |
Terms in Geometry |
|
Pizza Problem, Estimating Pi |
Print Reading |
| BMG 9 |
Plane and Solid Figures |
|
Pizza Problem, Estimating Pi |
Print Reading |
| BMG 10 |
Perimeter of a Polygon |
|
Pizza Problem, Estimating Pi |
Print Reading |
| BMG 11 |
Area and Volume |
|
Pizza Problem, Spatial Vis. |
Print Reading |
| BMG Quiz 8-11 |
Area and Volume |
|
|
|
| BMG Thinking |
Designing a Playground |
|
Pizza Problem, Estimating Pi |
|
| INTERMEDIATE Introduction to Algerbra (IA) 2 |
Addition and Subtraction of Integers |
|
Graphing |
|
| IA 3 |
Multiplication and Division of Integers |
|
Graphing |
|
| IA 11 |
One-Step Equations |
|
Rate |
|
| |
|
|
Rate (Turnpike Problem) |
|
| INTERMEDIATE Geometry (IG) 4 |
Angles |
Using a Protractor |
|
|
| IG 5 |
Lines and Angles |
|
Using a Protractor |
|
| IG 6 |
Areas of Polygons |
|
Pizza Problem |
|
| IG 7 |
Circumference of Circles |
|
Estimating Pi |
|
| IG 8 |
Area of Circles |
|
Pizza Problem |
|
| IG 9 |
Surface Area |
|
Pizza Problem |
|
| IG 10 |
Volume of Prisms and Cylinders |
|
Spatial Vis. |
|
| INTERMEDIATE Statistics and Probability (ISP) 1 |
Pictographs |
|
Intro to Math, Stats |
|
| ISP 2 |
Bar Graphs |
|
Intro to Math, Stats |
|
| ISP 3 |
Line Graphs |
|
Intro to Math |
|
| ISP 4 |
Circle Graphs |
|
Intro to Math |
|
| ISP 5 |
Measures of Central Tendency |
|
Stats (WNBA Problem) |
|