ࡱ>  bjbj 79O77777KKK8L4K./// JTp".$.$.$.$.$.$.$/a2vH.97  H.77//.>)>)>)d7/7/".>)".>)>)t++/TKp+..0.+,2T2++27f->)H.H. $2.2 : TAKS Action Plan - Math Phase I Planning & Analyzing (Grade-Level Instruction) TEKS Knowledge Teachers will gain knowledge of content area objectives by analyzing the TEKS. Prerequisite Skill Knowledge Teachers will gain knowledge of content area skills needed one-to-two grade levels below the target level. Phase II Intervention (Below Grade-Level Tier III Intervention) TEKS Prerequisite Knowledge Teachers will decide the appropriate intervention according to the prerequisite skill knowledge. Phase III Implementation (Recovery) Procedure for Instruction Teachers will decide the delivery method the intervention instruction (warm-ups, homework, quizzes, tutoring etc.) Math Action Plan Phase I Sixth Grade Student ExpectationVerbs from the ObjectiveProcess InvolvedReal World ConnectionPossible Activities6.1 (A)Compare and order non-negative rational numbers.6.1(B)Generate equivalent forms of rational numbers including whole numbers, fractions, and decimals.6.1 (C)Use integers to represent real-life situations.6.1 (D)Write prime factorizations using exponents.6.1 (E)Identify factors of a positive integer, common factors, and the greatest common factor of a set of positive integers.6.1 (F) Identify multiples of a positive integer and common multiples and the least common multiple of a set of positive integers.6.2 (A) Model addition and subtraction situations involving fractions with objects, pictures, words, and numbers.6.2 (B) Use addition and subtraction to solve problems involving fractions and decimals.6.2 (C) Use multiplication and division of whole numbers to solve problems including situations involving equivalent ratios and rates.6.2 (D)Estimate and round to approximate reasonable results and to solve problems where exact answers are not required.Objective 26.2 (E) Use order of operations to simplify whole number expressions (without exponents) in problem solving situations.6.3 (A) Use ratios to describe proportional situations.6.3 (B)Represent ratios and percents with concrete models, fractions, and decimals.6.3 (C) Use ratios to make predictions in proportional situations.6.4 (A) Use tables and symbols to represent and describe proportional and other relationships such as those involving conversions, arithmetic sequences (with a constant rate of change), perimeter and area.6.4 (B) Use tables of data to generate formulas representing relationships involving perimeter, area, volume of a rectangular prism, etc.6.5 The student is expected to formulate equations from problem situations described by linear relationships.Objective 36.6 (A)Use angle measurements to classify angles as acute, obtuse, or right.6.6 (B) Identify relationships involving angles in triangles and quadrilaterals.6.6 (C) Describe the relationship between radius, diameter, and circumference of a circle.6.7The student is expected to locate and name points on a coordinate plane using ordered pairs of non-negative rational numbers.Objective 46.8 (A) Estimate measurements (including circumference) and evaluate reasonableness of results.6.8 (B) Select and use appropriate units, tools, or formulas to measure and to solve problems involving length (including perimeter), area, time, temperature, volume, and weight.6.8 (C) Measure angles.6.8 (D) Convert measures within the same measurement system (customary and metric) based on relationships between units.Objective 56.9 (A) Construct sample spaces using lists and tree diagrams.6.9 (B) Find the probabilities of a simple event and its complement and describe the relationship between the two.6.10 (A) Select and use an appropriate representation for presenting and displaying different graphical representations of the same data including line plot, line graph, bar graph, and stem and leaf plot.6.10 (B) Identify mean (using concrete objects and pictorial models), median, mode, and range of a set of data.6.10 (C) Sketch circle graphs to display data.6.10 (D) Solve problems by collecting, organizing, displaying, and interpreting data.6.11 (A) Identify and apply mathematics to everyday experiences, to activities in and outside of school, with other disciplines, and with other mathematical topics.Objective 66.11 (B) Use a problem-solving model that incorporates understanding the problem, making a plan, carrying out the plan, and evaluating the solution for reasonableness.6.11 (C) Select or develop an appropriate problem-solving strategy from a variety of different types, including drawing a picture, looking for a pattern, systematic guessing and checking, acting it out, making a table, working a simpler problem, or working backwards to solve a problem.6.11 (D) Select tools such as real objects, manipulatives, paper/pencil, and technology or techniques such as mental math, estimation, and number sense to solve problems.6.12 (A) Communicate mathematical ideas using language, efficient tools, appropriate units, and graphical, numerical, physical, or algebraic mathematical models.6.12 (B) Evaluate the effectiveness of different representations to communicate ideas.6.13 (A) Make conjectures from patterns or sets of examples and non-examples.6.13 (B) Validate his/her conclusions using mathematical properties and relationships. Action Plan Phase I Seventh Grade Student ExpectationVerbs from the ObjectiveProcess InvolvedReal World ConnectionPossible Activities7.1 (A) Compare and order integers and positive rational numbers.7.1 (B) Convert between fractions, decimals, whole numbers, and percents mentally, on paper, or with a calculator.7.1 (C) Represent squares and square roots using geometric models.7.2 (A) Represent multiplication and division situations involving fractions and decimals with models, including concrete objects, pictures, words, and numbers. 7.2 (B) Use addition, subtraction, multiplication, and division to solve problems involving fractions and decimals. 7.2 (C) Use models, such as concrete objects, pictorial models, and number lines, to add, subtract, multiply, and divide integers and connect the actions to algorithms7.2 (D) Use division to find unit rates and ratios in proportional relationships such as speed, density, price, recipes, and student-teacher ratio.7.2 (E) Simplify numerical expressions involving order of operations and exponents.7.2 (F) Elect and use appropriate operations to solve problems and justify the selections.7.2 (G) Determine the reasonableness of a solution to a problem.Objective 27.3 (A) Estimate and find solutions to application problems involving percent.7.3 (B) Estimate and find solutions to application problems involving proportional relationships such as similarity, scaling, unit costs, and related measurement units.7.4 (A) Generate formulas involving unit conversions within the same system (customary and metric), perimeter, area, circumference, volume, and scaling.7.4 (B) Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling. 7.4 (C) Use words and symbols to describe the relationship between the terms in an arithmetic sequence (with a constant rate of change) and their positions in the sequence. 7.5 (A) Use concrete and pictorial models to solve equations and use symbols to record the actions. 7.5 (B) Formulate problem situations when given a simple equation and formulate an equation when given a problem situation. Objective 37.6 (A) Use angle measurements to classify pairs of angles as complementary or supplementary. 7.6 (B) Graph data to demonstrate relationships in familiar concepts such as conversions, perimeter, area, circumference, volume, and scaling. 7.6 (C) Use properties to classify 3-dimensional figures, including pyramids, cones, prisms, and cylinders. 7.6 (D) Use critical attributes to define similarity. 7.7 (A) Locate and name points on a coordinate plane using ordered pairs of integers. 7.7 (B) Graph reflections across the horizontal or vertical axis and graph translations on a coordinate plane. 7.8 (A) Sketch 3-dimensional figures when given the top, side, and front views. 7.8 (B) Make a net (2-dimensional model) of the surface area of a three-dimensional figure. 7.8 (C) Use geometric concepts and properties to solve problems in fields such as art and architecture. Objective 47.9 (A) Estimate measurements and solve application problems involving length (including perimeter and circumference) and area of polygons and other shapes. 7.9 (B) Connect models for volume of prisms (triangular and rectangular) and cylinders to formulas of prisms (triangular and rectangular) and cylinders. 7.9 (C) Estimate measurements and solve application problems involving volume of prisms (rectangular and triangular) and cylinders. Objective 57.10 (A) Construct sample spaces for simple or composite experiments.7.10 (B) Find the probability of independent events.7.11 (A) Select and use an appropriate representation for presenting and displaying relationships among collected data, including line plot, line graph, bar graph, stem and leaf plot, circle graph, and Venn diagrams, and justify the selection.7.11 (B) Make inferences and convincing arguments based on an analysis of given or collected data.  Action Plan Phase I Eighth Grade Student ExpectationVerbs from the ObjectiveProcess InvolvedReal World ConnectionPossible ActivitiesObjective 18.1 (A) Compare and order rational numbers in various forms including integers, percents, and positive and negative fractions and decimals8.1 (B) Select and use appropriate forms of rational numbers to solve real-life problems including those involving proportional relationships. 8.1 (C) Approximate (mentally and with a calculator) the value of irrational numbers as they arise from problem situations (like , EMBED Equation.3 ).8.1 (D) Express numbers in scientific notation, including negative exponents in appropriate problem situations using a calculator.8.2 (A) Select appropriate operations to solve problems involving rational numbers and justify selections. 8.2 (B) Use appropriate operations to solve problems involving rational numbers in problem solving situations.8.2 (C) Evaluate solutions for reasonableness. 8.2 (D) Use multiplication by a constant factor (unit rate) to represent proportional relationships.Objective 28.3 (A) Compare and contrast proportional and non-proportional linear relationships.8.3 (B) Estimate and find solutions to application problems involving percents and other proportional relationships (like similarity and rates).8.4 The student is expected to generate a different representation of data, given another representation of data (like representing a data table as an equation)8.5 (A) Predict, find, and justify solutions to application problems using appropriate tables, graphs, and algebraic equations. 8.5 (B) Find and evaluate an algebraic expression to determine any term in an arithmetic sequence (with a constant rate of change).Objective 38.6 (A) Generate similar figures using dilations including enlargements and reductions. 8.6 (B) Graph dilations, reflections, and translations on a coordinate plane.8.7 (ADraw three-dimensional figures from different perspectives.8.7 (B) Use geometric concepts and properties to solve problems in art and architecture.8.7 (C) Use pictures or models to demonstrate the Pythagorean Theorem.8.7 (D) Locate and name points on a coordinate plane using ordered pairs of rational numbers.Objective 48.8 (A) Find lateral and total surface area of prisms, pyramids, and cylinders using concrete models and nets (2-dimensional models).8.8 (B) Connect models of prisms, cylinders, pyramids, spheres, and cones to their volume formulas.8.8 (C) Estimate measurements and use formulas to solve application problems involving lateral and total surface area and volume. 8.9 (A) Use the Pythagorean Theorem to solve real-life problems.8.9 (B) Use proportional relationships in similar 2-dimensional figures or similar 3-dimensional figures to find missing measurements.8.10 (A) Describe the resulting effects on perimeter and area when dimensions of a shape are changed proportionally.8.10 (B) Describe the resulting effects on volume when dimensions of a solid are changed proportionally.Objective 58.11 (A) Find the experimental and theoretical probabilities of dependent and independent events.8.11 (B) Use theoretical probabilities and experimental results to make predictions and decisions.8.12 (A) Select the appropriate measure of central tendency or range to describe a set of data and justify the choice for a particular situation.8.12 (B) Draw conclusions and make predictions by analyzing trends in scatter plots.8.12 (C) Select and use an appropriate representation for presenting and displaying relationships among collected data, including line plots, line graphs, stem and leaf plots, circle graphs, bar graphs, box and whisker plots, histograms, Venn diagrams with and without the use of technology.8.13 (A) Evaluate methods of sampling to determine validity of an inference made from a set of data.8.13 (B) Recognize misuses of graphical or numerical information and evaluate predictions and conclusions based on data analysis.8.14 (A) Identify and apply mathematics to everyday experiences, to activities in and outside of school with other disciplines, and with other mathematical topics. 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examples and non-examples.      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