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Common Sense Math Products

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Materials found here will focus on a common sense approach to teaching the NCC Math Standards. I believe standards are valuable and should serve as a "teaching roadmap." Lessons should be based on measurable outcomes derived from grade level standards. Multiple intelligences should always be considered during lesson design. Cooperative learning, hands-on lessons and maximum use of available technology are keys to holding a students attention; key to passing on knowledge.

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Materials found here will focus on a common sense approach to teaching the NCC Math Standards. I believe standards are valuable and should serve as a "teaching roadmap." Lessons should be based on measurable outcomes derived from grade level standards. Multiple intelligences should always be considered during lesson design. Cooperative learning, hands-on lessons and maximum use of available technology are keys to holding a students attention; key to passing on knowledge.
Probabilities of Compound Events - 7.SP.8
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Probabilities of Compound Events - 7.SP.8

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Find probabilities of compound events. Use tree diagrams, frequency tables organized lists and simulations. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Find probabilities of compound events - Create organized lists, tables, tree diagrams and simulations to determine probabilities - Understand probability of compound events is the fraction of outcomes in the sample space - Design and use simulations to generate frequencies for compound events Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.8 Visit commoncoremath.net for additional help.
Develop and Use Probability Models - 7.SP.7
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Develop and Use Probability Models - 7.SP.7

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Develop probability models and use to find probabilities of events. Compare to observe frequencies and explain discrepancies. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Use theoretical probabilities to predict frequencies of outcomes - Perform probability experiments and compare results to theoretical probability - Explain discrepancies found when comparing results to theoretical probability Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.7 Visit commoncoremath.net for additional help.
Draw Geometric Figures - 7.G.2
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Draw Geometric Figures - 7.G.2

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Draw geometric figures freehand and with ruler and compass. Draw from parameters including parallel lines, angles and perpendicular lines. Focus on triangles drawn using 3 angles or sides. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Draw geometric figures given parameters - Draw triangles given 3 angles or sides - Draw quadrilaterals with no right angles - Draw shapes using compass and ruler Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.2 Visit commoncoremath.net for additional help.
Describe 2-D Slices of 3-D Figures - 7.G.3
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Describe 2-D Slices of 3-D Figures - 7.G.3

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Describe the resulting 2-dimensional figure from slicing rectangular prisms and pyramids. Cuts are made parallel, perpendicular and at an angle. Recognize and describe attributes. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Understand formulas for area, surface area and volume - Recognize surface area is the additive of all faces of object - Solve for missing dimensions given area or volume Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.3 Visit commoncoremath.net for additional help.
Area, Volume and Surface Area Problems for 2D and 3D Objects - 7.G.4
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Area, Volume and Surface Area Problems for 2D and 3D Objects - 7.G.4

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Real-world and math problems including area, volume and surface area of 2D and 3D objects. Determine dimensions of figures given the area or volume. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Understand formulas for area, surface area and volume - Recognize surface area is the additive of all faces of object - Solve for missing dimensions given area or volume Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.5 Visit commoncoremath.net for additional help.
Supplementary, Complementary, Verticle and Adjacent Angle Problems - 7.G.5
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Supplementary, Complementary, Verticle and Adjacent Angle Problems - 7.G.5

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Solve multi-step problems involving supplementary, complementary, verticle and adjacent angles. Write and solve equations to find unknown angles. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Draw supplementary, complementary, verticle and adjacent angles - Determine angle measures using rules for supplementary, complementary, verticle and adjacent angles - Use understanding of angles and deductive reasoning to write and solve equations Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.5 Visit commoncoremath.net for additional help.
Circumference and Area of Circles - 7.G.4
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Circumference and Area of Circles - 7.G.4

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Work with formulas for area and circumference of a circle to solve math and real world problems. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Know and apply the formula for area of a circle - Know and apply the formula for circumference of a circle - Solve problems using the formulas for area and circumference of a circle - Explain the relationship between the area and circumference fo a circle Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.4 Visit commoncoremath.net for additional help.
Approximate Probability of a Chance Event - 7.SP.6
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Approximate Probability of a Chance Event - 7.SP.6

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Great lesson for understanding difference between theoretical and experimental probability. Hands on projects reinforce earlier lessons, while introducing new concepts. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Collect data from probability experiments - Recognize as the number of trials increases, experimental probability approaches theoretical probability - Understand relative frequency as the value found by dividing the number of times an event occurs by the total number of trials Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.6 Visit commoncoremath.net for additional help.
Probability - 7.SP.5
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Probability - 7.SP.5

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Understand probability of a chance event can be measured with a number between 0 and 1. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Know probability is a number between 0 and 1 - Understand larger numbers equal a greater chance of an event occuring - Understand a probability of 0 means an event has no chance of happening (example: rolling a 1 with two six sided die) Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.5 Visit commoncoremath.net for additional help.
Utilize Measures of Center and Variability - 7.SP.4
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Utilize Measures of Center and Variability - 7.SP.4

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Draw inferences from two data sets by using measures of center and variability. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Compare two sets of data using center (median and mean) - Compare two sets of data using variability (MAD and IQR) - Analyze and draw inferences across two data sets Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.4 Visit commoncoremath.net for additional help.
Analyze and Compare Data Sets - 7.SP.3
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Analyze and Compare Data Sets - 7.SP.3

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Identify data landmarks such as mean, median, M.A.D. and interquartile range using a variety of data sets. Make informal comparison of data sets focusing on variability and overlap. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Identify data landmarks in a variety of data sets - Measure variability within and across data sets - Recognize variability across two data sets - Understand median is related to interquartile range and mean with M.A.D. Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.
Use Data to Draw Inferences - 7.SP.2
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Use Data to Draw Inferences - 7.SP.2

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Collect and utilize multiple samples of data to make generalizations about a population. Attention should be paid to variations in the samples Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Make inferences based on of multiple random samples - Answer questions regarding populations and sampling - Determine total population based on samples - Make predictions regarding total populations - Describe a model for sampling dependent on population Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.SP.2 Visit commoncoremath.net for additional help.
Use Rational Numbers for Problem Solving - 7.NS.3
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Use Rational Numbers for Problem Solving - 7.NS.3

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Solve real-world and mathematical problems using rational numbers to complete the four operations. Includes fractions, decimals, negative numbers and requires understanding of order of operations rules. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Correctly use order of operations in problem solving - Recognize and utilize rational numbers - Solve problems using all four operations - Know rational numbers terminate in zero or eventually repeat Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.NS.3 Visit commoncoremath.net for additional help.
Multiply and Divide Rational Numbers - 7.NS.2
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Multiply and Divide Rational Numbers - 7.NS.2

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Use understandings of multiplication, division and fractions to multiply and divide rational numbers. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Multiply using properties of operations and rules for integers - Understand integers can be divided and quotients will be rational numbers - Convert rational numbers to decimals using division - Know rational numbers terminate in zero or eventually repeat Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.NS.2 Visit commoncoremath.net for additional help.
Construct Equations and Inequalities - 7.EE.4
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Construct Equations and Inequalities - 7.EE.4

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Using variables represent quantities in real-world and mathematical problems. Construct equations and inequalities to reason about quantities. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Write an equation or inequality to model a situation - Solve multi-step word problems - Graph inequalities on number lines Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.EE.4 Visit commoncoremath.net for additional help.
Use Integers and Properties of Operations to Solve Problems - 7.EE.3
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Use Integers and Properties of Operations to Solve Problems - 7.EE.3

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Convert between fractions, decimals, percents and other forms of numbers. Solve real-worlds and mathematical problems using integers and stategic tools such as properties of operations. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Convert between number forms - Use conversions and strategic tools to solve mathematical and real-world problems Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.EE.3 Visit commoncoremath.net for additional help.
Find Relations Between Quantities - 7.EE.2
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Find Relations Between Quantities - 7.EE.2

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Rewrite problems in terms of the contextual situation to determine the relations between quantities. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Rewrite problems to determine contextual relationships between quantities - Create different expressions to vary the grouping of quantities - Solve mathematical problems for unknowns - Solve real-world problems for unknowns Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.EE.2 Visit commoncoremath.net for additional help.
Proportions and Ratio and Percent Problems - 7.RP.3
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Proportions and Ratio and Percent Problems - 7.RP.3

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Solve multistep ratio and percentage problem by using proportional relationships. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Recognize proportional relationships - Set up proportions to solve ratio and percentage problems - Solve real world problems by creating a proportion and cross multiplying Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.RP.3 Visit commoncoremath.net for additional help.
Proportional Relationships - 7.RP.2
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Proportional Relationships - 7.RP.2

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Recognize and represent proportional relationships between quantities. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Determine whether two quantities are proportional by: A.) testing for equivalent ratios in a table B.) Observing whether a graph on the coordinate plane is a straight line through the origin - Identify the constant of proportionality (unit rate) - Represent proportional relationships by equations - Explain a point on the graph in terms of the origin or unit rate Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.RP.2 Visit commoncoremath.net for additional help.
Scale Drawings - 7.G.1
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Scale Drawings - 7.G.1

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Convert dimensions, determine scale factors and given dimensions create scale drawing. Scaffolded lesson provides for classroom differentiation. Can be used as a lesson leader, guided practice, independent practice, for cooperative learning and math centers, or as an assessment. Use with smartboard, projector, computer, pad or as printable. Lesson is complete - NO PREP. Editable version included. Objectives: - Learn terms related to scale drawing - Identify scale factor - Convert dimensions based on scale factor - Create scale drawings Includes 6 practice pages and answer keys. Aligned with NCCS Math - 7.G.1 Visit commoncoremath.net for additional help.