Tentative plan for the next 2 weeks
April 28-May 25
April 30th- lines of best fit May 1st- Aleks May 2nd- two way tables May 3rd- descriptive statistics May 4th- Aleks May 7th- sage testing May 8th- sage testing May 9th- aleks May 10th- measures of variation May 11th- Aleks May 14th- Analyze data distributions May 15th- Aleks May 16th- Ch 9 test review May 17th - Ch 9 test May 18th- Aleks May 21- Test corrections May 22nd- Aleks May 23rd- Aleks May 24th- Aleks May 25th- Aleks |
Year long plan
Year Long Plan
Integrated math 8 Quarter 1 8.NS.A.1 The Number System Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that there are numbers that are not rational, and approximate them by rational numbers. 2. Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π 2 ). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations. Expressions & Equations Work with radicals and integer exponents. 1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3 2 × 3 –5 = 3 –3 = 1/3 3 = 1/27. 8.EE.A.2 Expressions & Equations Work with radicals and integer exponents.
8.EE.A.3 Expressions & Equations Work with radicals and integer exponents. 3. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 10 8and the population of the world as 7 times 10 9, and determine that the world population is more than 20 times larger. 8.EE.A.4 Expressions & Equations Work with radicals and integer exponents.
End of chapter 1 assessment (Honors and math 8) Chapter 2Equations in One Variable · 8.EE.C.7Expressions & EquationsAnalyze and solve linear equations and pairs of simultaneous linear equations.7. Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. End of chapter assessment (Honors and math 8) Quarter 2 Chapter 4Functions 8.F.A.1FunctionsDefine, evaluate, and compare functions.1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. 1
8.F.A.2FunctionsDefine, evaluate, and compare functions.2. Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. 8.F.A.3FunctionsMid-Chapter assessment (Honors and math 8)Define, evaluate, and compare functions.3. Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line 8.F.B.4FunctionsUse functions to model relationships between quantities.4. Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values 8.F.B.5FunctionsUse functions to model relationships between quantities.
Quarter 3 Chapter 3Equations in Two Variables 8.EE.B.5Expressions & EquationsUnderstand the connections between proportional relationships, lines, and linear equations.5. Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. 8.EE.C.8Expressions & EquationsAnalyze and solve linear equations and pairs of simultaneous linear equations.8. Analyze and solve pairs of simultaneous linear equations. a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair. End of chapter assessment (Honors and math 8) Chapter 5Triangles and the Pythagorean Theorem 8.G.A.5GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software.5. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so. 8.G.B.6GeometryUnderstand and apply the Pythagorean Theorem.
8.G.B.7GeometryUnderstand and apply the Pythagorean Theorem.7. Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions. 8.G.B.8GeometryUnderstand and apply the Pythagorean Theorem.
Quarter 4 Chapter 6Transformations 8.G.A.1GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software.1. Verify experimentally the properties of rotations, reflections, and translations: a. Lines are taken to lines, and line segments to line segments of the same length. b. Angles are taken to angles of the same measure. c. Parallel lines are taken to parallel lines. Mid-Chapter assessment (Honors and math 8) 8.G.A.3GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates. 8.G.A.4GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software.4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. End of Chapter assessment (Honors and math 8) Chapter 7Congruence and Similarity 8.G.A.2GeometryChapter 9 Scatter Plots and Data Analysis
Investigate patterns of association in bivariate data. 1. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.
Investigate patterns of association in bivariate data. 2. Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. Mid-chapter assessment (Honors and math 8)
Investigate patterns of association in bivariate data.
Investigate patterns of association in bivariate data.
Understand congruence and similarity using physical models, transparencies, or geometry software.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them. 8.G.A.4GeometryUnderstand congruence and similarity using physical models, transparencies, or geometry software.4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them. 8.EE.B.6Expressions & EquationsUnderstand the connections between proportional relationships, lines, and linear equations.6. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + bfor a line intercepting the vertical axis at b. End of Chapter assessment Chapter 8Volume and Surface Area 8.G.C.9GeometrySolve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
End of year |