Texas
Adult Education Standards and Benchmarks
for ABE ASE and ESL Learners
Implementation Guide
Version 1.1
June 2008
Section 2
Standard: Use Math to Solve Problems and Communicate for ABE/ASE (cont'd)
Strand 8 of 14: Using Ratios, Proportions, and Percents
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
8.1 Concept introduced at Level 3 |
8.2 Concept introduced at Level 3 |
8.3 Identify and write simple ratios and proportions. Examples * What is the ratio of males to females in the classroom? |
8.4 Identify and write ratios and proportions within word problems. Examples * One minute is to 60 seconds as 60 minutes is to ____ seconds. |
8.5 Use ratios, proportions, and percents to solve word problems. Examples * If a flagpole is 12 feet tall and casts a shadow of 6 feet, and a man casts a shadow of 3 feet, how tall is the man? |
8.6 Use ratios, proportions, and percents to solve multi-step, algebraic problems Examples * A man drives 180 miles in 3 hours. Find his average speed and how far he could drive in 9 hours. |
Strand 9 of 14: Probabilities
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
9.1 Concept introduced at Level 4 |
9.2 Concept introduced at Level 4 |
9.3 Concept introduced at Level 4 |
9.4 Determine simple probabilities. Examples * Flip a coin. What is the probability of landing heads? |
9.5 Use simple probabilities to predict outcomes. Examples * What is the probability of drawing a nine from a deck of cards? |
9.6 Use probabilities with dependent events to predict outcomes. Examples * If a drawer contains 6 pairs of socks (2 brown, 2 black, 2 red), what is the probability of drawing a black pair and a brown pair in order without replacing the first pair? |
Strand 10 of 14: Graphs and Charts
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
10.1 Identify key features of simple everyday graphs and charts. Examples * Interpret a simple graph (e.g. in a child’s height and weight chart) |
10.2 Collect data and construct simple everyday graphs and charts. Examples * Develop a schedule for how and when to take medication according to a doctor’s order. |
10.3 Collect and interpret data to construct graphs, schedules, tables, and diagrams. Examples Read and interpret children’s weight and height charts. * Choose a phone plan by comparing rates and constant costs. |
10.4 Collect and interpret data to construct more complex graphs, schedules, tables, and diagrams. Examples * Design a survey regarding a community issue, and collect and organize the results to communicate results and affect community change. * Develop a yearly budget and illustrate expenses by creating a chart or graph. |
10.5 Collect, interpret, represent, and draw implications from graphs, schedules, tables, and diagrams. Examples * Read and interpret aquifer table/chart to determine water restriction. * Make a decision about how to consolidate bills and credit card payments based on a given chart. |
10.6 Interpret, represent, and identify trends and/or make inferences and draw conclusions from complex graphs, schedules, tables, and diagrams. Examples * Plot the path of hurricanes based on given coordinates. * Choose which car to buy based on published consumer information. |
Strand 11 of 14: Averages
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
11.1 Concept introduced at Level 4 |
11.2 Concept introduced at Level 4 |
11.3 Concept introduced at Level 4 |
11.4 Find mean, range, median, and mode. Examples * Track temperatures for one week and find the mean, median, mode, and range. |
11.5 Find mean, range, median, and mode. Examples * Determine your readiness for the GED by finding your average score on the GED official practice test. * Design a survey regarding a community issue, and collect and organize the results to communicate results and affect community change. |
11.6 Concept mastered at Level 5 |
Strand 12 of 14: Order of Operations and Linear Equations
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
12.1 Concept introduced at Level 2 |
12.2 Read and solve simple addition and subtraction equations. Examples 3 + x = 8 |
12.3 Use order of operations (i.e., multiplication, division, addition, subtraction), to evaluate expressions. Examples 10-2 * 3+7+12÷6= |
12.4 Solve linear equations with one variable using division, addition, subtraction, and distributive property). Write simple linear equations from the given word problems. Examples * 3(2x+1)-3 = 2(3) * Tom is twice as old as Tammy. Tammy is 6 years old. How old is Tom? |
12.5 Use order of operations (i.e., parentheses, exponents, multiplication, division, addition, subtraction -PEMDAS) to evaluate expressions with variables, including common formulas. Express numbers in scientific notation. Examples * Given d= r•t and r=4 t=6. Find r. * Is 32.4 • 105 written in scientific notation?
|
12.6 Solve linear equations with one variable using strategies such as the distributive property and/or transposition. Add and subtract polynomials. Factor binomials and trinomials using strategies such as greatest common factor, difference of two squares, and/or x2+ bx + c form. Examples Factor x2+5x-6 Simplify (2x2+4x-1)+(3x2-x+2) |
Strand 13 of 14: Patterns and Sequences
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
13.1 Recognize patterns and sequences using colors, shapes, and numbers. Examples 2, 4, 6, _, 10, 12,… ▲,◊,▲,_,◊,… |
13.2 Construct simple patterns and sequences. Examples 2, 4, 6, _, 10, 12,… ▲,◊,▲,_,◊,… |
13.3 Construct patterns using arithmetic sequences. Examples 3, 5, 7, 9, 11,… |
13.4 Construct patterns using geometric sequences. Examples 3, 6, 12, 24, 48,… |
13.5 Construct complex patterns and sequences. Examples n, n+2, n+4, n+6,… n, 2n, 4n, 8n,…
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13.6 Determine the missing terms from arithmetic and/or geometric sequences Examples n, n+2, ___, n+6,… n, 2n, ___, 8n,… |
Strand 14 of 14: Rounding and Estimation
Level 1 Beginning ABE Literacy |
Level 2 Beginning Basic Education |
Level 3 Low Intermediate Basic Education |
Level 4 High Intermediate Basic Education |
Level 5 Low Adult Secondary Education |
Level 6 High Adult Secondary Education |
|---|---|---|---|---|---|
14.1 Round to the nearest 10. Examples Is 6 closer to 1 or 10? |
14.2 Round to the nearest 100 or 1000.. Examples Is 565 closer to 500 or 600? Use estimation to check the answer of one-step word problems. |
14.3 Round to specified place value including decimals. Examples Is 3.674 closer to 3.6 or 3.7? |
14.4 Apply the concept of rounding and estimation to solve multi-step problems. Examples Estimate the sum of 2.75 + 33.1 + 8.49 + 4.11 to the nearest tenth. |
14.5 Concept mastered
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14.6 Concept mastered
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