Texas Adult Education Standards and Benchmarks
for ABE ASE and ESL Learners

1.1 Count and read whole numbers between 0 and 10.

Examples

* Label days of the week with numbers.

5.21.2 Count and read whole numbers between 0 and 1000.

Identify place value system.

Examples

* Label days of the month with numbers.

1.3 Compare and order fractions.

Identify mixed numbers.

Compare and order decimals.

Examples

* Given: 1/2, 1/3, 2/5, 3/4 order the fractions from least to greatest.

* Given 0.1, 0.2, 0.02, 0.001, order the decimal from greatest to least.

1.4 Recognize and use equivalencies between fractions, decimals, and percents.

Examples

* Is ½ of a pizza the same as 50% of a pizza?

1.5 Compare, convert and order non-equivalent forms of commonly used fractions, decimals, and percents.

Examples

* Decide which product to buy based on a comparison of nutritional information.

* Analyze effects of deductions on earnings and project annual income.

1.6 Compare, convert and order non-equivalent forms of commonly used fractions, decimals, and percents.

Examples

* Determine the cost of attending higher education or job training.

* Make a decision about how to consolidate bills and credit card payments.

2.1 Identify and use mathematical symbols (+, -, =) and words that represent those symbols.

Examples

* Use mathematical symbols to represent three plus five.

2.2 Identify simple fractions.

Identify and use mathematical symbols (x, ÷) and words that represent those symbols for multiplication and division.

Examples

* Measure ingredients for simple recipes using benchmark fractions.

2.3 Identify and use mathematical symbols (>, <, ≠) and words that represent those symbols.

Examples

* Compare prices from different advertisements, e.g. school supplies, groceries, clothing.

2.4 Identify and use mathematical symbols (≥, ≤) and words that represent those symbols.

Examples

* Decide which product to buy based on a comparison of nutritional information.

2.5 Identify and use mathematical symbols [, , ⁰, ( )] and words that represent those symbols.

Identify and compute powers and roots.

Examples

* Given the area of a square flower bed, what is the length of one side?

2.6 Identify and use mathematical symbols (, [ ], { } ) and words that represent those symbols.

Understand the meaning of absolute value. (e.g. |-8| =8 ).

Examples

* A mountain is 1000 feet above sea level and 250 feet below.  The absolute value would be:

1000+|-250| =1250 feet

3.1 Plot natural numbers on a horizontal number line.

Examples

*
Plot the first five days of the week using the number line.

3.2 Plot natural numbers on a vertical number line.

Examples

* Plot the daily temperature on a vertical number line over a set period of time.

3.3 Plot points in Quadrant I of a coordinate grid.

Read and understand integers (positive and negative numbers) as showing direction and change on both horizontal and vertical number lines.

Examples

* Plot age and weight of their children on a growth chart.

3.4 Plot points in all four quadrants of a coordinate grid.

Examples

* Plot the path of hurricanes based on given coordinates.

3.5 Identify positive and negative slopes on a coordinate grid.

Graph linear equations.

Examples

* Given this equation:

y = 3x + 2 

What is the slope of the line?

3.6 Find slope and distance on a coordinate grid.

Examples

* Given the points (0,2) and (3,-4), find the slope of a line.

4.1 Model and apply meanings of addition (such as counting or combining) and subtraction (such as taking away or separating inverse operations) of one-digit whole numbers.

Examples

* Add the ages of two 3-year olds and one 2-year old..

4.2 Model and apply meanings of addition and subtraction of two- and three-digit whole numbers.

Examples

* Add the ages of any three ninth graders.

4.3 Model and apply meanings of addition and subtraction of decimals.

Model meanings of multiplication and division (inverse operations) using facts through 12 x 12.

Examples

* Balance a checking account.

* Use manipulatives, mental math, a calculator, or paper and pencil to calculate how much it will cost for 2 people to go to the movies.

4.4 Model and apply meanings of four basic math operations (i.e., addition, subtraction, multiplication, division) using whole numbers, fractions, and decimals

Examples

* Estimate and determine weekly pay based on a consistent, predictable pattern, such as $5 per hour.

* Divide a restaurant check evenly for a group of 5 people.

4.5 Model and apply meanings of addition, subtraction, multiplication, and division using integers.

Examples

* Develop a budget for a home or business.

* Choose which car to buy based on information such as down payment required, monthly installations, mileage, and insurance costs.

4.6 Use four basic operations with exponents, including addition and subtractions of like terms and multiplication and division of monomials.

Examples

* Analyze effects of deductions on earnings and project annual income.

* Fill out personal or business income tax forms.

5.1 Identify U.S. currency and coins

Examples

* Identify coins, bills or tokens needed for public transportation and vending machines.

* Sort coins into like piles, and then determine the value of each pile

5.2 Count and make change using U.S. coins and currency up to $1.00.

Examples

* Make change.

* Sort coins into like piles, and then determine the value of each pile.

5.3 Count and make change using all U.S. coins and currency. .

Model meanings of multiplication and division (inverse operations) using facts through 12 x 12.

Examples

* How much change would you get back if you buy a $29.95 money order from a $50.00 bill?

6.1 Identify common units of measurement: length, volume, time, and temperature.

Examples

* Mark the height of their children in feet on a growth chart.

* Read a school calendar.

* Read a clock in whole hours.

6.2 Identify the instruments used to measure common units of measurement: length, volume, time, and temperature.

Examples

* Read a thermometer.

* Read a ruler with whole inches.

6.3 Measure whole units with appropriate tools: length, weight, volume, time, and temperature.

Examples

* Which tool would you use to measure the number of feet of baseboard that will be needed for a room?

6.4 Measure fractional unit with appropriate tools: length, weight, volume, time, and temperature.

Examples

* Read a fuel gauge.

* Measure windows for curtains, blinds, and window coverings

6.5 Convert units within length, weight, volume, time, and temperature.

Examples

* Reduce or expand a recipe.

6.6 Apply appropriate units and instruments of length, weight, volume, time, and temperature to solve a variety of problems.

Examples

* Design a “dream” house.

* Design a living room to scale.

7.1 Recognize and identify simple two- and three-dimensional shapes.

Examples

* Identify the shape of the classroom.

7.2 Calculate the perimeter of polygons.

Examples

* Design a garden with a specific amount of fencing.

7.3 Identify and define all angles including supplementary, complementary, and vertical angles.

Find the third interior angle of triangles.

Examples

* Find a right angle and an acute angle within the classroom.

7.4 Calculate the area of squares, rectangles, and triangles.

Identify parallel lines, perpendicular lines, and intersecting lines.

Examples

* Determine how much flooring is needed for an irregularly shaped room.

* Determine the area of a rectangular room for carpeting or tile.

7.5 Calculate area of polygons. 

Calculate circumference and area of circles.

Calculate volume of rectangular solids and cylinders.

Apply the Pythagorean Theorem.

.

Examples

* Plan and measure shelves.

* Determine how much material would be needed to cover a round table.

7.6 Use basic trigonometric functions - sine, cosine, and tangent.

Examples

* Design a “dream” house.

* Design a living room to scale.