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2015 The Institute for the Professional Development of Adult Educators

GED® Mathematical Reasoning High Impact Indicators

November 18, 2015

Bonnie Goonen

2015 The Institute for the Professional Development of Adult Educators 2

2015 The Institute for the Professional Development of Adult Educators

Announcing New ABE Lesson Plans

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2015 The Institute for the Professional Development of Adult Educators

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Announcing New ABE Lesson Plans

• 10 New Lesson Plans for ABE Math

• Aligned to the Florida Math Curriculum Frameworks (College and Career Readiness Standards)

• Complete with everything you need to teach the lesson

• More exciting resources to come . . .

2015 The Institute for the Professional Development of Adult Educators

Objectives of Workshop

• Share High Impact Indicators and their importance in developing curriculum

• Discuss strategies to

incorporate HIIs into lessons • Share resources and ideas

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2015 The Institute for the Professional Development of Adult Educators

HIGH IMPACT INDICATORS MATHEMATICAL REASONING

An Essential Tool for Developing Curriculum

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2015 The Institute for the Professional Development of Adult Educators

What are HIIs?

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High Impact Indicators

2015 The Institute for the Professional Development of Adult Educators

• Important skills that are widely applicable

• May currently receive light

coverage during GED® test preparation

• Lend themselves to straightforward instruction

High Impact Indicators

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What makes indicators “High Impact”?

2015 The Institute for the Professional Development of Adult Educators

Targets Indicators Application

• Assessment targets describe the general concepts that are assessed on the GED® test

• Indicators are fine-grained descriptions of individual skills contained within an assessment target

• Application describes what to look for in student work

High Impact Indicators

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2015 The Institute for the Professional Development of Adult Educators

How GEDTS identified these indicators • Extensively analyzed test-taker performance

on the operational GED® test • Examined differences in performance

between the 140 – 149 and 150 – 159 scaled scores in each content area

• Subjected the results to the filters indicated above

High Impact Indicators

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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Guide – p. 3

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Can your students?

2015 The Institute for the Professional Development of Adult Educators

Trees Description Diameter Price

Oak 𝟗 𝟏𝟏

25.50

Pecan 𝟓 𝟖

15.75

Ash 𝟑 𝟖

32.99

Mulberry 𝟏 𝟐

12.60

Which of the following shows the trees arranged in order from smallest to largest in size? A. Pecan, Mulberry, Ash, Oak B. Ash, Mulberry, Pecan, Oak C. Mulberry, Ash, Oak, Pecan D. Ash, Mulberry, Oak, Pecan

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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Q.3 Calculate and use ratios, percents, and scale factors • identify the relationship between quantities, then divide

appropriately to determine the unit rate defined by those quantities. • create proportions to model problems involving scale, then

calculate measurements using proportional reasoning, and has also calculate measurements using scale factors.

• create proportions to model real-world problems involving ratios and proportions, and use ratios, proportions, and proportional reasoning to calculate quantities relating to those problems.

• identify the relationships between quantities (including amount of change) in problems involving percent increase and decrease, and has calculated quantities stemming from those problems, as well as the amount of percent increase of decrease.

Guide – p. 25

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Can your students?

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Can your students?

2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

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Q.4 Calculate dimensions, perimeter, circumference, and area of two-dimensional figures Q.5 Calculate dimensions, surface area, and volume of three-dimensional figures • identify the dimensions of a geometric figure from a diagram, then

substitute the values for those dimensions into the appropriate formula for geometric measurement, then calculate the resulting numerical expression.

• calculate the perimeter of polygons. • identify the shapes that comprise a composite figure.

Guide – p. 26

2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Rosie is planting a garden with the dimensions shown below. She wants to put a thin, even layer of mulch over the entire surface of the garden. The mulch costs $3.19 a square foot. How much money will she have to spend on mulch?

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

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A.3 Write, manipulate, solve, and graph linear inequalities • solve inequalities in one variable, using the standard

algorithms. • solve a one-variable inequality and identified or created

a graph on the number line of the solution . • analyze the relationship between quantities in a real-

world problem, and then create an inequality to model the problem situation.

• analyze the relationship between quantities in a real- world problem, and then solve the problem through algebraic reasoning.

Guide – p. 27

2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

Can your students?

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2015 The Institute for the Professional Development of Adult Educators

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2015 The Institute for the Professional Development of Adult Educators

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2015 The Institute for the Professional Development of Adult Educators

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A.7 Compare, represent, and evaluate functions • identify functions and non-functions displayed in graphs and tables,

and create functions (graphs/tables). • substitute values for variables in functions and evaluate the

resulting numerical expressions. • convert functional representations from one from to another, and

compare properties of the functions.

Guide – p. 27

2015 The Institute for the Professional Development of Adult Educators

This is a function because no vertical line can be drawn so that it intersects the graph more than once.

A function is a relation in which each element of the domain is paired with exactly one element of the range. When x = 0, y = 1 and y = 6. So, this relation is not a function.

Can your students?

Determine which of the following are functions and why?

This is a function because no vertical line can be drawn so that it intersects the graph more than once.

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2015 The Institute for the Professional Development of Adult Educators 31

Can your students?

The speed limit on federal highways is 70 miles per hour (mph). The fine for speeding on is $10 per mile above the legal limit plus an additional $40. What would your speeding fine be if you were traveling 85 mph? Show all work or explain in words how you arrived at your answer.

M (miles exceeding) 10m + 40 F (fine) (M,F)

5 10m + 40 90.00 (5, 90) 10 10m +