David's Math Content

This is part of a geometry series of PowerPoints related to content involving circles. The PowerPoint develops the relationship between the external angle formed when two tangent segments are drawn to a circle from the same external point and the major & minor arcs created by those segments (commonly known as the "two tangents angle theorem"). Think of it as coming up with the theorem as opposed to proving it. The presentation begins by stating definitions, theorems, or other prerequisites nee

This is part of a geometry series of PowerPoints related to content involving circles. The PowerPoint develops the relationship between two tangent segments that are drawn to a circle from the same external point (commonly known as the "two tangents segments theorem"). Think of it as coming up with the theorem as opposed to proving it. The presentation begins by stating definitions, theorems, or other prerequisites needed to be able to develop the theorem. Then the work is done to develop it. St

This is part of a geometry series of PowerPoints related to content involving circles. The PowerPoint develops the relationship between angles and arcs formed by intersecting chords (mainly known as the "intersecting chords angles theorem"). Think of it as coming up with the theorem as opposed to proving it. It begins by stating definitions, theorems, or other prerequisites needed to be able to develop the theorem. Then the work is done to develop it. Students can think along with the lesson to

This is part of a geometry series of PowerPoints related to content involving circles. The PowerPoint develops the relationship between segments formed by intersecting chords (mainly known as the "intersecting chords segment theorem"). Think of it as coming up with the theorem as opposed to proving it. It begins by stating definitions, theorems, or other prerequisites needed to be able to develop the theorem. Then the work is done to develop it. Students can think along with the lesson to see if

This PowerPoint presentation serves as an introduction to solving problems that involve finding parts of a whole by using tape diagrams. The process is clearly explained and modeled including examples using fractions and percents converted to fractions. The product can be used as an interactive class lesson or for individual student use due to absence or remediation. The amount of time spent using this presentation will vary depending on the teacher's usage of stopping points and/or student inte

This 18-slide PowerPoint presentation introduces the concept of a unit rate. It assumes students have already learned about the concept of a ratio. The material is based on Common Core 6th grade math standard: CCSS.Math.Content.6.RP.A.2. The presentation begins with a problem trying to compare two ratios to determine the best gas mileage. A tape diagram model is used to transform the ratios into unit rates to see how much more helpful they are when making comparisons. Unit rates are calculated u

This 27-slide PowerPoint presentation is designed as an introduction to the concept of a ratio. It uses a fictional grocery store employee who uses data gathered to determine the right balance of carts and baskets to maintain in his store. Ratio language is analyzed as well as the formats of writing a ratio and simplifying when applicable. The lesson is based on the 6th grade Common Core standard: CCSS.Math.Content.6.RP.A.1. It is intended for full class use, but can be used for individuals who

This 23-slide PowerPoint presentation is recommended as useful instruction before learning to calculate distance between points in a coordinate plane (CCSS.MATH.CONTENT.6.NS.C.8). It is meant for students who have already learned about absolute value, but have not learned about basic operations involving negative numbers yet (i.e. addition/subtraction). Students will learn how to calculate the distance between any two points on a number line using their absolute values. They will see that this s

This 22-slide PowerPoint presentation demonstrates how to use common factors and the distributive property to change an expression. Addition problems involving whole numbers are changed into a multiplication problem which is the product of the greatest common factor of the addends and the sum of two whole numbers that have no GCF other than "1". The content is based on 6th grade Common Core standard: CCSS.Math.Content.6.NS.B.4. The presentation takes about 30 minutes, but time considerations dep

This 18-slide PowerPoint presentation uses word problems to explore the role of multiples in solving them. It begins with defining a multiple before being introduced to problems involving common multiples. In the first problem you're looking for several common multiples over a period of time. The second problem is looking for the next time an events occur simultaneously (LCM). After summarization there is a problem students can work along with solution so they can check their work. The presentat

This 28-slide PowerPoint presentation guides you through the process that leads to finding the greatest common factor of given numbers. It can be used for full class or individual instruction. The time you spend on this presentation depends on how much student involvement you allow and stopping points encountered for emphasis. This presentation is a great reference to place on your teacher webpage as well. The content is based on the 6th grade Common Core math standard: CCSS.Math.Content.6.NS.B.

This 19-slide PowerPoint Presentation teaches the process of dividing by a decimal number through long division. It is based on Common Core 6th grade math standard: CCSS.Math.Content.6.NS.B3. You could employ this instructional presentation anywhere from 20 to 40 minutes depending on how much student interaction and stopping points are incorporated. This would also make for a great item to place on your teacher web site. Use it for full class instruction or individual use. First it introduces a

This 19-slide PowerPoint presentation develops the procedures used to multiply decimal numbers. This presentation is based on the 6th grade Common Core math standard: CCSS.Math.Content.6.NS.B.3. It can be used for class or individual instruction. Use it on your teacher web page as a student resource when needed. The presentation should take about 20-30 minutes of class time depending on stopping points you find necessary and student participation. The presentation begins demonstrating how you li

This 18-slide PowerPoint presentation demonstrates the processes of addition & subtraction involving decimal numbers. The content is based on Common Core standard: CCSS.Math.Content.6.NS.B.3. Decimal addition & subtraction is compared to whole number addition & subtraction to see the similarities. Careful attention is given to place value, lining up numbers correctly, and filling in empty areas with zeroes. Sample problems are provided and worked out. You can use this presentation as a lesson fo

This 18-slide PowerPoint presentation goes deeper into understanding absolute value. It demonstrates the difference between comparing two numbers and comparing the absolute value of two numbers. Real-world examples are given to help students better understand the material. Completely review the presentation so you can decide how best to use it in your curriculum. The content is based on Common Core standard CCSS.Math.Content.6.NS.C.7.D. The instruction assumes that the student has already experi

This 18-slide PowerPoint presentation introduces students to the concept of absolute value. Material is presented that would satisfy Common Core standard CCSS.Math.Content.6.NS.C.7.C. The definition of absolute value is based on the distance from the number to zero on a number line. Magnitude is defined and discussed in detail. Simulation, examples, and practice are incorporated. The presentation can be used for full class participation or individual use. It's great for use on student accessible

This 16-slide PowerPoint presentation uses a three-step process to compare different numbers. Writing a statement of inequality using the numbers an correct inequality symbol is the 1st step. Explaining in words what the statement of inequality means is the 2nd step. The 3rd step is to interpret the relative position of each number on a number line (both horizontal & vertical number lines are used). Positive & negative numbers are both used in examples. Those viewing this presentation have alrea

This 20-slide PowerPoint presentation tests and develops three rules involving reflections resulting from sign changes in an ordered pair. The three rules involve changing the x-coordinate sign only, changing the y-coordinate sign only, and changing both coordinate's signs. Thus the result is reflection across the y-axis, reflection across the x-axis, and reflection across the origin, respectively. Students are expected to have previous knowledge of plotting & identifying ordered pairs, identify

This 16-slide PowerPoint presentation stresses quadrant location and the signs of the ordered pairs that fall into each particular quadrant. It assumes prior knowledge of plotting & identifying points in the coordinate plane. Examples lead students to try to first figure out on their own what a set of un-plotted order pairs have in common. The pairs will fall in the same quadrant and all x-coordinate signs will match as well as all y-coordinates matching. Students can take a 5-question quiz at t

This 22-slide PowerPoint presentation serves as an introduction to the coordinate plane. It begins by defining a coordinate plane and explaining its uses. Then construction of the plane, its parts, and terminology are covered. The rest of the presentation explains and simulates how to plot ordered pairs and how to determine ordered pairs for points already plotted. Fractional values and coordinates of zero are included in the simulation as well. The content is based on Common Core standard CCSS.