Integrated Math 1



Integrated Math 1Course Overview At-A-GlanceUnit1Patterns of Change2Patterns in Data (Statistics)3AEquations & Inequalities3BLinear FunctionsMajor ConceptsSetting up graphs with independent & dependent variables on proper axes and using appropriate scalesProducing tables & graphs on a graphing calculatorUse rules to produce tables & graphsWrite NOW/NEXT rulesAssociating types of functions with their graphs, tables, & rulesShapes of distributions (using histograms & dot plots)Measuring center (mean, median, mode)Measuring position (percentile, quartile)Box & whisker plotsMeasuring variability/spread (range, interquartile range)Outliers & their effect on measures of center & spreadCombining like termsWriting equivalent algebraic expressions using commutative, associative, & distributive propertiesFactoring an integer GCFSolving equations & inequalitiesLiteral equationsConverting linear equations into “y=” formInitial value & rate of change in equations, tables, graphs, & contextsGraphing lines using slope-intercept formSlopes of parallel & perpendicular linesWriting equations of lines given various combinations of slope, intercept, and data point informationScatterplots & lines of best fitLinReg function on calculatorSolving systems of equations- graphs (include converting other forms to y=)- tables- algebraically (by setting two y= equations equal to each other)ResourcesCore Plus Mathematics, Course 1:Unit 1Lesson 1, investigations 1 & 3Lesson 2, investigation 1Lesson 2 investigation 2 OPTIONALLesson 3, investigation 1 # 1-4Lesson 3, investigation 2 # 1-2Lesson 3, investigation 3Core Plus Mathematics, Course 1:Unit 2Lesson 1Lesson 2, investigations 1-4Core Plus Mathematics, Course 1:Unit 3Lesson 2, investigations 1-3Lesson 3***NEED LOTS OF SUPPLEMENTARY PRACTICECore Plus Mathematics, Course 1:Unit 3Lesson 1Lesson 2, investigation 4***NEED LOTS OF SUPPLEMENTARY PRACTICETime8/28-9/3010/3-10/3111/5-12/312/5-1/2Unit5Exponential Functions6Patterns in Shape (Geometry)8Patterns in Chance (Probability)7Quadratic FunctionsMajor ConceptsPatterns of exponential growth in tables, graphs, & rulesCompound interestPatterns of exponential decay in tables, graphs, & rules (half-life applications OPTIONAL)Laws of exponentsSquare root as a ? powerSimplifying radicals (simplest radical form)Undefined notions of point, line, planeCongruent triangles (SSS,SAS,ASA)Properties of triangles- rigidity - triangle inequality- angle sum- Pythagorean Thm & its converse- base angles of isosceles triangleProperties of quadrilaterals- opposite sides & angles are - diagonals bisect each other- diagonals of a rectangle are Perpendicular bisectors Vertical angles Rotational symmetryPolygons- Regular polygons- Polygon angle sum- Exterior angles Drawing 3D shapesVolume of prisms, cylinders, pyramids, cones, & spheresSample spaceProbability distributionMutually exclusive eventsAddition rule (and its exception for events that are not mutually exclusive)Venn DiagramsPermutationsSimulationsRandInt function on calculator Law of large numbersGeometric probabilityFalling objects & projectilesExplore transformations of graphs for different values of a, b, & c in the function rule y = a x 2 + b x + cFactor GCF including a variableMaximum, minimum, and intercepts of a parabola (graphical)Solving quadratic equations- taking square roots- factoring (GCF only)- quadratic formulaResourcesCore Plus Mathematics, Course 1:Unit 5 (all)Core Plus Mathematics, Course 1:Unit 6Lesson 1Lesson 2, investigations 1-2***NEED RESOURCES FOR POINT/LINE/PLANE AND VOLUMECore Plus Mathematics, Course 1:Unit 8Lesson 1Lesson 2, investigations 1-3Lesson 2, investigation 4 #6***NEED MORE RESOURCES FOR PERMUATIONS & GEOMETRIC PROBABILITYCore Plus Mathematics, Course 1:Unit 7 (all)Time1/7- 2/252/28-4/44/9-5/145/19-6/5 ................
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