Integrated Math 1 – Course Overview (Semester)
Integrated Math 1 – Course Overview (Semester)1 – Patterns in Data/Statistics 2 – Patterns in Chance/Probability3 – Linear Functions NarrativeMeasures from different data displays - frequency table, histogram, dot plot, stem & leaf. Interquartile range standard deviation General concept of an outlier, refine that to a more specific definition. How outliers affect measures of center/spread, and shapes of distributions.Shapes of distributions (using histograms & box plots) Measuring position (percentile, quartile) Box & whisker plots and 5-number summaryWork with probability distributions that can be generated from sample spaces. Experimental vs. theoretical probability and expected valueUse the Addition Rule and mutually exclusive events. Develop, execute, and interpret results from more sophisticated simulations, including the use of Random Integers either from a table or computer number-generator.Calculate geometric probabilitiesDependent events/independent events/mutually exclusive eventsTree diagramsVenn diagrams Law of Large numbers Multiplication RulePermutations and combinationsWrite equations for lines given 2 points, a point & slope, a collection of nearly linear points (in a scatterplot), or a parallel or perpendicular line. Converting the equations to slope-intercept form in order to produce the graphs or to set equal to each other. (Literal equations)Include systems with 1 solution, no solutions, and infinite solutions both algebraically and graphically.Solving multi-step inequalities & graphing solution sets on number line Graphing linear equations on a coordinate grid (optional: system of linear inequalities)Identifying lines that are parallel or perpendicular from their equations (including standard form). Use LinReg function on calculatorLeast Squares Regression Line: Use LinReg function on calculatorInterpret Correlation CoefficientResidual Causation/AssociationTime3-4 week ?3-4 weeks3-4 weeks ?ResourcesCPM 1: Unit 2: L1 – all; L2 – allCPM 1: Unit 8: L1 – all; L2 - Inv 1-3CPM 2: Unit 8: L1 – Inv 1-3; L2 – Inv 1,2CPM 1: Unit 3L1 - all L2 - all L3 – allCPM 2: Unit 4: L1 Inv 1-2; L2 – all?4 – Exponential Functions5 - Patterns in Shape (Geometry)6 - Quadratic FunctionsNarrativeGraphs and function rules for exponential growth and decay. Use compound interest to determine the percent of increase or decrease for the pattern. Simplify powers of exponents using the properties of exponents with numerical and variable basesUse 1/2 power to develop procedures for multiplying and dividing square roots. Add & subtract radicalsBecome fluent with simplest radical form.Triangle Properties: rigidity, triangle inequality, angle sum, Pythagorean Thm. & converse, base angles of isosceles triangle Properties of parallelograms: opposite sides/angles congruent, diagonals bisect each other, diagonals of rectangle are congruentPolygon Properties: regular polygon, angle sum, exterior angles Develop the idea of stating all 3 side & angle criteria, then writing a congruence statement for triangles (including the rule – SSS, SAS, ASA, AAS, HL). Make sense of the formulas for area and volume; explain how they work. Use volume in problem-solving.Perpendicular Bisectors, midpoint, isosceles triangle propertiesDraw 3D Shapes Identify parts of a parabola and be able to identify them from a graph. Explore the connections between coefficients in the function rule and the shape of the graph. Students will solve quadratic equations using square roots, factoring, and quadratic formula (solutions should be expressed in simplest radical form).Falling objects & projectiles Factoring GCF and 1x2 + bx + c Time3-4 weeks4-5 weeks Time Permitting:1-2 weeks ?ResourcesCMP 1: Unit 5L1 – all; Inv 5 - include rational exponents L2 – all; Inv 4 - include rational exponents; Inv 5 - ×, ÷, simplest radical form, +,–CPM 1: Unit 6L1 - all L2 - Inv 1 & Inv 2 L3 - Inv 1 # 2-4, 8; Inv 2 # 1-3 Need resources for volume & SA.CPM 1: Unit 7L1 – Inv 1, 3; L2 – Inv 2; L3 – Inv 1, 2 ................
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