Yearly Plan for MYP 5 Math

Transcription

1 Yearly Plan for MYP 5 Math Unit AOI Significant ATL building We can work from what we with exponents know to derive and radicals to math principles solve problems and rules involving exponential growth or decay, or unlock. Working with Exponents Radicalsand and NumbersComplex Environment recognizing situations in the world around us that can be modeled by Many real world situations can be modeled by B 1,2,3,4,5 D 2,4 B 1,2,3,4 D -1,3 State, explain and apply the properties of exponents: multiplication, division, power of a power, zero and negative exponents Simplify or evaluate exponential expressions Graph an exponential function that represents a real life situation and interpret it Solve multiplication and division problems written in scientific notation Write, use and interpret models for exponential growth and decay Investigate properties of radicals and state properties Simplify radicals (Adv) Define and apply fractional exponents (Adv) Simplify or evaluate expressions involving exponents and radicals in various forms Evaluate and approximate square roots Solve by using the square root property. Identify a function and write in standard form. Graph a equation by making a t-chart and locating points. From a equation, determine the vertex, axis of symmetry and if the parabola opens up or down. Use and interpret a equation to model a real life situation. Compare linear and. Define the imaginary number i and use in the solution of some Define and do operations using imaginary and complex numbers Graph complex numbers on a complex plane Find absolute values of complex numbers lab report on derivation of exponent rules problem solving applicaitons Lab Graphing Comparing Linear and display of imaginary and complex numbers

2 Systems of ATL extending strategies to incorporate more complexity We can solve problems by defining 3 variables, if we have enough information. A 1,3 B 1,2,3,4,5 C 1,2 D 1,2,4 Solve absolute value Solve absolute value inequalities and use to solve real life problems Solve systems of in 2 variables algebraically and graphically Graph linear in 3 variables Solve systems of linear in 3 variables using an algebraic method Determine if a system of has a single solution, an infinite number of solutions or no solution Visual display Application strategy and full solution ValueAbsolute and

3 Unit AOI Significant Health & Social We can use a Education variety of analysis of data statistical sets about measures to human activities understand a and outcomes set of data better. Measures of Central Tendency A 1 C 1,2 D 3,4 Define measures of central tendency Define and calculate mean, median and mode for a set of data For a set of data, make a box-and-whisker plot, a frequency distribution and a histogram Define measures of dispersion and calculate range Explain the concept of standard deviation Calculate the standard deviation for a set of data Define and calculate the geometric mean Analysis of a data set Explanation and comparison of various statistical measures Dispersionand to LogicIntroduction ATL analyzing statements to determine the logical outcome WE can analyze systems to determine if they function logically and if an outcome is true. A 1 C 1,3 D 1,2 Define and use inductive and deductive reasoning Recognize and analyze a conditional statement. Write and analyze the inverse, converse and contrapositive of a conditional statement. Recognize and use definitions in a logical proof. Recognize, analyze and use biconditional statements. Use deductive reasoning to solve a puzzle. Use math symbols to represent statements of logic. Understand and apply the Law of Detachment and the Law of Syllogism. Using logic, write a simple proof. Relate the concepts of logical argument and proof to the modern judicial system. Logic activity Proof Quiz

4 Triangle Congruence Similarityand Human Ingenuity designing a structure based on congruent and similar triangles Many modern and ancient structures are based on congruent and similar triangles. A -1,2,3 B-1,2,3,4,5 D - 1 Define polygon congruency and similarity. Derive a list by experimentation of what requirements must be met to determine that two triangles are congruent. Name, explain and use congruency rules: SSS, SAS, ASA, or AAS Construct equivalent triangles based on the congruency theorems. Determine if triangles are congruent using the congruency theorems. Solve real life problems involving triangle congruency. Solve problems involving triangles on a coordinate plane Prove triangles are similar using AA Similarity Solve problems involving triangle similarity Lab report Constructions Analysis of structural design

5 Unit AOI Significant Environment Many shapes -modeling shapes or motions in of orbits of our real world objects in space can be - modeled using calculating the for area in which a circles, sonic boom hyperbolas or would be heard ellipses. - identify the shape of various mirrors by their equation Circles and ShapesRelated B 1,2,3,4 C -1,2,3 D 1,2,3,4 Plot points on a polar coordinate system Write the equation of a circle and graph a circle form its equation if the center is 0, 0 Use the equation and graph of a circle to solve problems Write for circles that have a center other than the origin Graph circles with centers other than the origin from their Find the surface area and volume of a sphere Know and use correct vocabulary to describe ellipses From the equation of an ellipse in standard form with center (0,0), find the vertices, co-vertices, major and minor axis Write an equation for an ellipse Find the area of an ellipse. Use calculations about ellipse to solve real world problems Describe hyperbolas using correct vocabulary Graph a hyperbola from its equation in standard form Write the equation for a hyperbola in standard form Use hyperbolas to solve real world problems (Adv) Define conic sections and name them (Adv) Classify (in the form Ax x + Bxy + Cy 2 +Dx + Ey + F = 0) to determine which conic section they represent Display Application problem Quiz