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Curriculum Map (____7th _____grade level ____Math_____Subject) Month August September Main Concept (General terms) Unit Rates, Ratios – including those with rational numbers Standards/Objectives RP.1 Assessments Pre-assessment Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Proportional Relationships RP.1/RP.2 Using Tables and Graphs/ Recognize and represent Constant of Proportionality proportional relationships between quantities. 1 RP.1 CFA Vocabulary Resources Rate, Ratio, Unit Rate, Proportion, equivalent ratios, scaling up, scaling down, convert, variable, means and extremes, inverse operations Carnegie Ch. 1 Direct Variation, Origin, Constant of Proportionality Carnegie Ch. 1 & 2 Ongoing Resources: Carnegie’s Mathia Software, Khan Academy, Desk suggested pacing & lesson guides October Simple Interest, Tax, Mark-ups and Markdowns, Tips and Commissions, Fees, Percent Increase and Decrease, Percent of Error RP.3 RP.2 CFA Use proportional relationships to solve multistep ratio and percent problems RP.3 CFA RP(Ratios & Proportions) Summative Assessment End of 1st Term Month November Main Concept Add/Sub Rational Numbers Mult/Div Rational Numbers December Mult/Div Rational Numbers Properties, Expressions With rational numbers Standards/Objectives NS. 1 Assessments NS.1 CFA Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram NS2. NS.2 NS.2 CFA Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. NS. 3 Solve real-world and mathematical problems involving with rational numbers. 2 NS(The Number System) Summative Assessment Interest, Principal, Simple Interest, Percent Increase, Percent Decrease, Depreciate, Commission Vocabulary Additive Inverse Zero Pair Carnegie Ch. 2 & 3 Resources Carnegie Ch. 4 Terminating Decimals, Non-terminating Decimals Carnegie Ch. 5 Repeating Decimals, Non-Repeating Decimals, Bar Notation Carnegie Ch. 5 January Distributive Property, Expressions EE.1 CFA EE.2 CFA Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Understand that rewriting an expression in different forms in a problem context can shed a light on the problem and how the quantities in it are related. End of 2nd Term Month January EE.1/EE.2 (Equations & Expressions) Main Concept Equations/Inequalities Standards/Objectives EE.3/EE.4 Assessments Real world application of EE.3/EE.4 multi-step equations and Apply properties of operations to calculate with numbers in any inequalities form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. 3 Vocabulary Equation, Properties of Equalities, twostep equations, Solve an inequality Solve multi-step real life and mathematical problems posed with positive and negative rational numbers in any form Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. February Variable, Algebraic expression, Distributive Property, factor, Greatest Common Factor, Like terms, coefficient, Combine like terms. EE.3 CFA EE.4 CFA EE (Equations & Expressions) Summative Assessment Multiplicative Inverse, Multiply by the Reciprocal, Unit Rate of Change Carnegie Ch. 6 Resources Carnegie Ch. 7 Carnegie Ch. 8 Feb. cont. Data/Statistics/Graphs SP.1/SP.2 (Statistics & Probability SP.1 CFA SP.2 CFA Survey, Data, Population Census Sample, Random Number Generator, Random number Table, Dot Plot(line Plot), Variability, Mean, Median, Mode, Spread, Range, Mean Absolute Deviation from the Mean, Sample Size SP.3 CFA SP.4 CFA No New Vocabulary Understand that statistics can be used to gain information about a population by examining a sample of the population. Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Comparing Populations SP.3/SP.4 Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities . Use measures of center and measures of variability for numerical data . 4 Ch. 14 Carnegie Ch. 15 March End of 3rd Term Probability Probability of a Compound Event SP.5/SP.6/SP.7 Understand the probability of a chance event. Approximate the probability of a chance event. SP.7/SP.8 Develop a model to find probabilities of events. Find probabilities of compound events using organized lists, tables, tree diagrams, and simulation. Month March March cont. Main Concept Using Geometry/ Constructions Standards/Objectives G.2/G.5 Draw geometric shapes with given conditions. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure. 5 SP.5 CFA SP.6 CFA Outcome, Experiment, Sample Space, Event Carnegie Ch. 16 SP.7 CFA SP.8 CFA Simple Event, Compound Event, probability, equally likely Carnegie Ch. 17 SP (Statistics & Probability) Summative Assessment Assessments G.5 CFA Vocabulary Geometry,protractor Compass, straightedge, sketch, draw Construct,geometric construction, point, line, plane coplanar lines, skew lines, line segment, endpoints arc, congruent line segments, ray, congruent, intersection, angle, sides of an angle, vertex, degrees, acute angle, right angle, obtuse angle straight angle, congruent angles, Resources Carnegie Ch. 9 Ch. 9 cont. April Triangles G.2 G.2 CFA Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. April cont. bisect, angle bisector, supplementary angles, complementary angles, perpendicular, midpoint of a segment, segment bisector, perpendicular bisector, adjacent angles, linear pair, vertical angles Triangle Sum Theorem, remote interior angles of a triangle, Exterior Angle Theorem, Exterior Angle, Inequality Theorem, geometric figures, congruent geometric figures, corresponding sides Corresponding angles, Included angle, Included side Triangle Inequality Theorem Carnegie Ch.10 Scale Factor, Aspect Ratio, Scale Drawings Carnegie Ch. 11 Ch. 10 cont. G.1 CFA Scale Drawings/Scale Factors G.4 CFA 6 Circle, Center of Circles Slicing 3-D Figures/ Volume/Surface Area Circle, Radius of Circle, Pi, Diameter, Inscribed Circle G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and area from a scale drawing and reproducing a scale drawing at a different scale. G.3 CFA G.6 CFA G.4 Know the formulas for the area and circumference of a circle and use them to solve problems. G.3/G.6 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids Solve real-world and mathematical problems involving area, volume and surface area . May/June G (Geometry) Summative Assessment End of 4th Term End of 4th Term 7 cross-section, pyramid, base of a pyramid, lateral faces of a pyramid, lateral edges of a pyramid, vertex of a pyramid, height of a pyramid, regular pyramid, slant height of a pyramid, volume/surface/area Carnegie Ch. 12 Carnegie Ch. 13 One additional unit will be added each term for the honors class. 7th Grade Honors Core Content 7th Grade Honors will cover all of the standards of the regular 7th Grade plus the following four standards: 7.H.1 Standard: Research and analyze ancient number systems. Concepts and Skills to Master • Explore the benefits and limitations of a variety of ancient number systems withintheir historical context, including Egyptian, Roman, Babylonian, Chinese, orMayan numerals. • Perform a variety of computations using different number systems. • Compare and contrast ancient number systems and modern number systems. 7.H.2 Standard: Understand number systems using different bases and their applications. Concepts and Skills to Master • Research the use of number systems with different bases by different cultures. • Understand the modern applications of number systems with different bases. • Compare and contrast the benefits and limitations of number systems with different bases. • Compute using different bases. 7.H.3 Standard: Examine the use of mathematics in creating codes. Concepts and Skills to Master • Explore codes used in everyday life such as zip codes, area codes, license plates, and social security numbers. • Explore codes used in commerce such as check digits, UPC codes, and bank numbers. • Explore various codes used in cryptography. 8 7.H.4 Standards: Recognize and appreciate patterns in nature, art, and mathematics. Concepts and Skills to Master • Understand the origin of the Fibonacci Sequence, compute consecutive terms in the sequence, and be able to identify the sequence in nature and art. • Recognize where the Golden Ratio is found in nature and art. • Create wallpaper patterns and tessellations using mathematical principles. • Understand fractals as iterations of a process, recognize fractals in nature and art, and recreate basic fractals. • Study the patterns found in Pascal’s Triangle. • Research the use of patterns in a variety of cultures. 9