David Lewis

Four one-page editable Microsoft Word documents, each with a big “word-problem” with scaffolded questions; students interpret the situation, write two functions, graph them, and interpret the point of intersection and/or the x-intercept and y-intercept. With my scanned (hand-written) answer key (PDF format). Keywords: slope, intercept, x-intercept, y-intercept, slope-intercept form, point-slope form, standard form, parallel line, perpendicular line CCSS: HSF-LE.B.5, HSF_BF.A.1

Ten one-page problems for extra credit and enrichment on Algebra 1 and Geometry topics. Editable Microsoft Word (with MathType) documents. With my scanned (hand-written) answer keys (PDF format). Keywords: extra credit, enrichment

Breaking Down the SAT, #9: Effective Graphing Calculator Use. Analysis of real (official) released math questions from the “new” SAT (March 2016) show techniques students can use to make best use of graphing calculators (Ti-83 and Ti-84 series) to answer questions, in an easier way, for the SAT (and other standardized tests). Also includes common “gotchas” that trip students up when they do use the calculator. Examines a single SAT calculator section and shows all the ways that questions in tha

Your students practice regression modeling using real-world data. Three single-page editable Microsoft Word documents, each one "word problem" and each with real-world data and some scaffolding questions guiding students through the process. Students determine the best choice of regression model and make a prediction about a missing value. With my scanned (hand-written) answer keys (PDF format). Keywords: regression, linear regression, quadratic regression, exponential regression, graphing cal

Several one- or two-page general assessments on early Pre-Algebra or Algebra 1 skills, probably most useful as placement tests or pre-tests. Variety of problems on number operations, signed integers, exponents, graphing, percents, proportions, order of operations. Editable Microsoft Word (with MathType) documents. With my scanned (hand-written) answer keys (PDF format). Keywords: number operations, signed integers, exponents, graphing, percents, proportions, order of operations

Package includes: “Riemann Sums, Area Under the Curve, the Definite Integral, and Integral Calculus (Calculus 1: The Lead-up to Integral Calculus, with an Emphasis on Using Technology)” uses a single relatable example, with visuals for several different techniques, to show the calculation of area under the graph of a function, leading up to the definite integral, the Fundamental Theorem of Calculus, and integral calculus. Includes tips on how to use technology, particularly graphing calculators,

“The Unit Circle: What it is and what it does for you” shows what the unit circle is, why students need to know about it, and how to use it to remember basic trigonometric identities and concepts such as reference angles. Develops the Unit Circle from special right triangles. Set up as an editable Microsoft PowerPoint file of 69 slides for a solo learner or an interactive presentation in a small classroom of trigonometry or pre-calculus students. Keywords: pre-calculus, trigonometry, unit circle

Package includes: “Chemistry: A Mathematical Approach to Balancing Equations”. Discussion of an alternative method for balancing chemical equations that is simpler and less error-prone than the traditional method, which is also shown. Editable Microsoft PowerPoint file (57 slides) for use as 60-minute interactive presentation in a small classroom of chemistry students. Last part includes practice examples for students to try, with worked-out solutions using this method. Topic: Balancing chemica

One two-page general assessment on early Pre-Algebra or Algebra 1 skills, probably most useful as a placement test or a pre-test. Variety of problems on number operations, signed integers, exponents, scientific notation. Editable Microsoft Word (with MathType) document. With my scanned (hand-written) answer keys (PDF format). Keywords: number operations, signed integers, exponents, scientific notation

Several one- or two-page general assessments on early Pre-Algebra or Algebra 1 skills, probably most useful as placement tests or pre-tests. Variety of problems on number operations, signed integers, exponents, graphing, percents, proportions, order of operations. Editable Microsoft Word (with MathType) documents. With my scanned (hand-written) answer keys (PDF format). Keywords: number operations, signed integers, exponents, graphing, percents, proportions, order of operations, absolute value,

Material in support of a unit on surface area and volume, including several “word-problems” sheets (with guiding questions) and assessments and a checklist of skills. Editable Microsoft Word (with MathType) documents. With my scanned (hand-written) answer keys (PDF format). Keywords: surface area, volume, cylinder, prism, pyramid, sphere, cone

Package includes: Breaking Down the SAT, #4. Analysis of real (official) released verbal question from the “new” SAT (March 2016) shows techniques students can use to answer similar sorts of questions on SAT and other standardized tests (this one is on “Predictions” to some writing and language questions). Set up as an editable Microsoft PowerPoint file for use as 20-minute interactive presentation in a small classroom of standardized-test preparers. Keywords: test preparation, standardized tes

Your students practice regression modeling using constructed data, including determining the appropriate type of function. Three single-page editable Microsoft Word documents, each one "word problem" and each with constructed data and some scaffolding questions guiding students through the process. Students determine the best choice of regression model and make a prediction about a missing value or find when the function is expected to have a particular value. With my scanned (hand-written) answ

Help your calculus students understand the differences and implications of functions that are defined at an x value, versus continuous at an x value, versus having a limit at an x value, versus differentiable at an x value. With examples showing jump discontinuities, vertical asymptotes, removable discontinuities, etc.. Best for use just before or just after introducing concept of derivative, as a review to that point to help make sense of interdependent and overlapping concepts. Done as a 60-mi

Breaking Down the SAT, #6. Analysis of real (official) released math instructions from the “new” SAT (March 2016). Breaks down the instructions, providing background of high-school math, explaining what is on the formula sheet, how to use the formulas with sample problems, and what is missing but important to know. Explains what students need to know to answer similar sorts of questions on SAT and other standardized tests. Set up as an editable Microsoft PowerPoint file for use as a 90-minute

Your students practice finding relative or absolute extrema by writing functions to model a situation and then using a graphing calculator to locate minimum or maximum values. Two single-page editable Microsoft Word (with MathType) document, each with one “word problem” and scaffolding questions to help student through the process. With my scanned (hand-written) answer key (PDF format). Keywords: relative maxima, minima, relative extrema, local extrema, graphing calculator, Ti-83, Ti-84 CCSS:

Four guided (scaffolded) pages on solving systems of linear equations, with the emphasis on writing equations from “word-problems” and interpreting the solutions. Each document is an editable Microsoft Word (with MathType) document. With my scanned (hand-written) answer keys (PDF format). Keywords: system of equation, linear system, solving by elimination, solving by graphing, graphing calculator, Ti-83, Ti-84, Excel CCSS: HSA-CED.A.2, HSA-REI.C.5

Breaking Down the SAT, #3. Analysis of real (official) released math question from the “new” SAT (March 2016) shows techniques students can use to answer similar sorts of questions on SAT and other standardized tests (this one is on “shortcut solutions” to some algebra problems). Set up as an editable Microsoft PowerPoint file for use as 20-minute interactive presentation in a small classroom of standardized-test preparers. Keywords: test preparation, standardized test, SAT, math, ACT, GRE, GMA

Your students practice modeling with quadratic functions using the vertical motion model (using feet). Three editable Microsoft Word (with MathType) documents, each with a “word problem” and some scaffolding questions guiding students through the process. Students determine the appropriate quadratic model and use it to answer additional questions i.e. finding vertex to determine the maximum value or the x-intercept to find the zero. With my scanned (hand-written) answer keys (PDF format). Keyw

Variety of documents dealing with function composition and function inverses. Includes several sheets of small word-problems, self-guided exploration activities, some quizzes. Editable Microsoft Word (with MathType) documents with my scanned (hand-written) answer keys (PDF format). Keywords: function composition, function inverses